Question 4 of 10
The lines shown below are perpendicular. If the green line has a slope of
what is the slope of the red line?
9
F
-5
10
10
15
OA. 9
OB.
C.
119
OD. -9
SUBMIT

Answer:

Step-by-step explanation:

Statistical models can help people make informed decisions by providing them with the likelihood of success so that they can make decisions that are informed and are knowledgeable of the outcomes.

Step-by-step explanation:

as it is a right angled triangle ,you can use the formula above .

Answer:

(0, 1)

Step-by-step explanation:

Basically, substitute the x and y coordinates into the inequality and check whether the solution tallies with the inequality given.

y < 6x + 2 is the equation provided.

For (-1, 0) , when x = -1 , y = 0 , 0 < 6(-1) + 2     -> 0 < -4 (False)

For (1, 8) , when x = 1, y = 8, 8 < 6(1) + 2      ->  8 < 8 (False)

For (0, 1) , when x = 0, y = 1, 1 < 6(0) + 2      ->  1 < 2 (True)

For (2, 15) , when x = 2, y = 15, 15 < 6(2) + 2      ->  15 < 14 (False)

Hence, the only coordinate that satisfies the inequality is (0, 1)

The relationships between the angles x and y are given as follows:

Alternate interior angles. and Alternate exterior angles.

Vertical angles are angles that are on the opposite by the same vertex, and in item 1, the vertex is the intersection of the upper parallel line with the transversal, hence angles x and y are vertical angles.

Alternate Interior angles;

These are the angles that are on the inner side of the two parallel lines but on opposite sides relative to the transversal, therefore, on item 2 x and y are alternative interior angles.

The Corresponding angles are angles that are on the same position relative to the transversal line, but relative to different parallel lines, thus on item x and y are corresponding angles.

Alternate Exterior angles;

There are angles that are on the opposite sides of the transversal line, and one above the upper parallel line and the other below the lower parallel line, shows that angles x and y are alternate exterior angles in item 4.

More can be learned about parallel lines and pairs of angles at brainly.com/question/24607467

#SPJ2

These cards can be sorted into three pairs, where each pair adds to the same number. The number is -5. The correct option is C.

An integer is a whole number that can be positive, negative, or zero and is not a fraction.

The addition of these following three pairs is given as follows:

-5 + 0 = -5.

-3 - 2 = -5.

-8 + 3 = -5.

Hence, we got three pairs of values from these cards, all cards are used, and all the additions result in -5, hence, this number is -5.

The addition of integers used in this problem is as follows: Two negatives: keep the signal and add the numbers, hence -3 - 2 = -5. Positive and negative: signal of bigger absolute value, find the difference, hence: -8 + 3 = -(8 - 3) = -5.

Therefore, the correct option is C. -5.

To learn more about integers, refer to the link:

https://brainly.com/question/15276410

#SPJ1

Answer:

[tex]\Huge \boxed{\boxed{\bf{-150.69}}}[/tex]

Step-by-step explanation:

To simplify the expression, we can follow the order of operations (also known as PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders, Multiplication/Division, and Addition/Subtraction.

[tex]\Large \boxed{\bf{-15 + (-16 + 9.34/6) \times 3^2 - 5.7}}[/tex]

First, let's simplify the expression inside the parentheses:

Next, let's simplify the exponent:

Now, let's simplify the addition and subtraction within the parentheses:

Next, let's perform the multiplication:

Now, let's perform the addition and subtraction from left to right:

Finally, subtract the two numbers:

Therefore, the simplified expression is -150.69.

#BTH1

________________________________________________________

Answer:

y = -4x + 9

Step-by-step explanation:

y = mx + b

First, we will find 'm', aka slope,

([tex]y_{2}[/tex] - [tex]y_{1}[/tex] ) / ([tex]x_{2}[/tex] - [tex]x_{1}[/tex]) = m

(-7 -7)/ (4 - (-3)) = m

-14/ 7 = m

∴ m = -2

Then we can substitute m = -2 and point 1 in to find 'b', aka y-intercept,

7 = -2 (-3) + b

7 = 6 + b

7 - 6 = b

∴ b = 1

Hence the equation is,

y = -2x + 1

Answer:

Step-by-step explanation:

His balance was -24.03

The volume of a square based pyramid is 927.7 cubic centimeter.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, a square base pyramid with the side length of the base is 16.6 and the height of the pyramid is 10.1 m.

We know that, the volume of square based pyramid =a²h/3.

Here, volume = 16.6²×10.1/3

= 275.56×10.1/3

= 927.7 cubic centimeter

Therefore, the volume of a pyramid is 927.7 cubic centimeter.

To learn more about the volume visit:

https://brainly.com/question/13338592.

#SPJ1

"Your question is incomplete, probably the complete question/missing part is:"

Find the volume of a pyramid with a square base, where the side length of the base is 16.6 and the height of the pyramid is 10.1 m. Round your answer to the nearest tenth of a cubic meter.

The snowfall rates are given as follows:

Hence, snowfall fell more quickly in: January.

A proportional relationship is a linear function with an intercept of zero modeled as follows:

y = kx.

In which k is the constant of proportionality.

For December, the function is given as follows:

y = 7x/4.

Meaning that the rate is of 7/4 = 1.75 inches per hour.

For January, the rate is calculated as the division of the change in the output from the change in the input on the table, as follows:

k = (11.25 - 5.625)/(6 - 3) = 1.875 inches per hour.

1.875 > 1.75, hence the snow fell more quickly in January.

More can be learned about proportional relationships at brainly.com/question/10424180

#SPJ1

The probability that Marta makes at least 2 of the 3 free throws is 0.73.

1. Marta makes all three free throws :

Probability of making one free throw = 0.90 (90%)

Chance of converting all three free throws =  [tex]\(0.90 \times 0.90 \times 0.90\)[/tex]

2. Marta makes two free throws and misses one

Probability of making one free throw = 0.90 (90%)

Missing one free throw has a probability = 1 - 0.90

                                                              = 0.10 (10%)

Probability of making two free throws and missing one

[tex]=\(0.90 \times 0.90 \times 0.10 + 0.90 \times 0.10 \times 0.90 + 0.10 \times 0.90 \times 0.90\)[/tex]

3. Marta makes one free throw and misses two (OXO, OOX, XOO):

Probability of making one free throw = 0.90 (90%)

Missing one free throw has a probability = 1 - 0.90

                                                              = 0.10 (10%)

Probability of making one free throw and missing two

= [tex]\(0.90 \times 0.10 \times 0.10 + 0.10 \times 0.90 \times 0.10 + 0.10 \times 0.10 \times 0.90\)[/tex]

Now, add the probabilities of all these scenario

[tex]\[\text{Probability of making at least 2 free throws} \\= \text{Probability of making all three} \\+ \text{Probability of making two and missing one} \\+ \text{Probability of making one and missing two}\][/tex]

= 0.729

Thus, the probability is 0.73.

Learn more about probability here:

https://brainly.com/question/32117953

#SPJ12

All the correct values are,

⇒ 0 + 2×8 = 16

⇒ 0 + 6×2 = 12

⇒ 0 + (-1.1) × 5 = - 5.5

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The table is shown in image.

Now,

The complete table is,

Starting position  Direction  Speed  Time  Ending position  Expression

  0                          right           2         8        0 + 2×8                16

  0                          right           6         2        0 + 6×2                12

  0                          left             1.1        5        0 + (-1.1)× 5          - 5.5

Thus, The complete table is,

⇒ 0 + 2×8 = 16

⇒ 0 + 6×2 = 12

⇒ 0 + (-1.1) × 5 = - 5.5

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ2

The required area of the rectangular floor and square yards needed are given as 270 ft² and 30 respectively.

A rectangle is a type of parallelogram having equal diagonals.

All the interior angles of a rectangle are equal to the right angle.

The diagonals of a rectangle do not bisect each other.

The dimensions of the floor are given as 15 feet and  18 feet respectively.

(a) The carpet required is equivalent to the area of the floor given as,

Area of floor = 15 × 18

⇒ 270 ft²

(b) Since, 1 feet = 3 yard

⇒ 1 square feet = 9 square yard.

Then, the number of square yards required is given as,

⇒ 270 ÷ 9 = 30

Hence, the area of the floor and number of square yards are 270 ft² and 30 respectively.

To know more about rectangle click on,

https://brainly.com/question/25501702

#SPJ1

The value of a and b are 9 and 14 when the two triangle ΔJHK congruent to ΔTRS.

Given that,

We have two triangle. ΔJHK congruent to ΔTRS

We must evaluate what a and b are worth.

We know that,

In the picture we have two triangle

ΔJHK has ∠H = 51° and ∠K = 7b-15

ΔTRS has ∠S= 83° and ∠T = 6a-3

When all three corresponding sides are the same length and all three corresponding angles are the same size, two triangles are said to be congruent.

We have ∠ H ≅ ∠ T,

∠ J ≅ ∠ R and

∠ K ≅ ∠ S.

So,

∠ H ≅ ∠ T,

51°=6a-3

6a=51+3

6a =54

a=9

∠ K ≅ ∠ S.

7b-15=83

7b=83+15

7b=98

b=14

Therefore, The value of a and b are 9 and 14 when the two triangle ΔJHK congruent to ΔTRS.

To learn more about triangle visit: https://brainly.com/question/19305981

#SPJ1

Janet should multiply both sides of the equation by the denominator of the fraction to eliminate the fraction on the right side,

To solve this equation, Janet needs to find the value of "y" that makes the equation true. In order to do this, she needs to get all of the terms with "y" on one side of the equation and all of the constants on the other side.

One way to do this would be to multiply both sides of the equation by the denominator of the fraction on the right side. This will eliminate the fraction on the right side and give Janet an equation with only one term on each side. The denominator of the fraction on the right side is (y+1), so Janet should multiply both sides of the equation by (y+1).

This will give her the equation:

(y+1)(y+startfraction y squared minus 5 over y squared minus 1 end fraction) = (y+1)(start fraction y squared + y + 2 over y + 1 end fraction)

Multiplying out the terms on each side will give Janet a polynomial equation in "y" that she can solve using standard techniques.

To learn more about the multiply, visit:

brainly.com/question/23536361

#SPJ4

The angles of the parallelogram are

The measure of ∠A = 4y° = 108°

The measure of ∠B = ( 3x - 18 )° = 72°

The measure of ∠C = 3z° = 108°

The measure of ∠D = ( 2x + 12 )° = 72°

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

Let the parallelogram be represented as ABCD

where

The measure of ∠A = 4y°

The measure of ∠B = ( 3x - 18 )°

The measure of ∠C = 3z°

The measure of ∠D = ( 2x + 12 )°

From the parallelogram theorem , we get

The measure of ∠B = The measure of ∠D   be equation (1)

And ,

The measure of ∠A = The measure of ∠C   be equation (2)

Substituting the values in the equation , we get

( 3x - 18 )° = ( 2x + 12 )°  

3x - 18 = 2x + 12

Adding 18 on both sides of the equation , we get

3x = 2x + 30

Subtracting 2x on both sides of the equation , we get

x = 30

Substituting the value of x in equation ( 1) , we get

3x - 18 = 3 ( 30 ) - 18

The measure of ∠A = 72°

So , the measure of ∠B = the measure of ∠D = 72°

And ,

The measure of ∠A = The measure of ∠C   be equation (2)

So , 4y° = 3z°

The total internal angle = 360°

So , 4y° + 3z° = 360° - 72° - 72°

4y° + 3z° = 216°   be equation (3)

From equation (2) , we get

2 ( 4y° ) = 216°

Divide by 2 on both sides of the equation , we get

( 4y ) ° = 108°

So , y = 27

And , ( 3z )° = 108°

So , z = 36

And , The measure of ∠A = The measure of ∠C = 108°

Hence , the measures of the angles of the parallelogram are 108° , 72° ,  108° and 72°

To learn more about parallelogram click :

https://brainly.com/question/23488153

#SPJ1

Answer:

y=37

Step-by-step explanation:

-8 + (y+3) =32

-8+y+3=32

-5+5+y=32+5

y=37

Answer:

Add 3 to both sides

Divide -9 from each side

Step-by-step explanation:

-9d - 3 = -12

      +3 = +3

-9d = -9

then, divide each side by -9 and you have your answer

Hope that helps!

Answer:

Add 3 to both sides

Divide both sides by -9

Step-by-step explanation:

-9d -3 = -12

-9d - 3 + 3 = -1 + 3  Add 3 to both sides

-9d = -9  Divide both sides by -9

[tex]\frac{-9d}{-9}[/tex] = [tex]\frac{-9}{-9}[/tex]

d = 1

Distance in BC can be calculated using the distance calculator available on the BC Government website. Simply enter the starting and ending locations, and the distance in kilometres will be calculated.

The BC government provides an online distance calculator which can be used to easily calculate the distance between two locations in the province. To use the calculator, simply enter the starting and ending locations, and the distance in kilometres between them will be calculated. This is a convenient and accurate way to calculate distances in British Columbia. The tool is easy to use and can save time and effort when trying to plan a route or determine how far apart two places are. Furthermore, the calculator is available for free, making it a great option for anyone who needs to quickly and accurately calculate the distance between two locations in BC.

Learn more about distance here

https://brainly.com/question/15172156

#SPJ4

Step-by-step explanation:

y1(1) = 1 = A + B

y2(1) = e = C + D

Answer:

.3 x 500 = 150 = answer

Step-by-step explanation:

multiply the numbers

The commutative property of addition states that when two numbers are added together, the sum is the same regardless of the order in which the numbers are added. This means that for any two numbers a and b, a + b = b + a.

The commutative property of addition states that for any two numbers a and b, a + b = b + a. This means that when two numbers are added together, the sum is the same regardless of the order in which the numbers are added. For example, in the expression 3 4i + 5 6i, the sum is the same whether we add 3 4i and 5 6i or 5 6i and 3 4i. Thus, the commutative property of addition is demonstrated.

3 4i + 5 6i = 8 10i

5 6i + 3 4i = 8 10i

Learn more about commutative property here

https://brainly.com/question/778086

#SPJ4

In expression 3 + 4i + 5 + 6i = 3 + 5 + 4i + 6i the Commutative property of addition is used.

Consider the given mathematical expression,

3 + 4i + 5 + 6i = 3 + 5 + 4i + 6i

We can observe that the position of 4i and 5 is switched.

We know that the Commutative property of addition.

For any two numbers a, b the commutative property of addition:

a + b = b + a

So for numbers 4i and 5, by the Commutative property of addition,

4i + 5 = 5 + 4i                     ............(1)

3 + 4i + 5 + 6i

= 3 + (4i + 5) + 6i

= 3 + (5 + 4i) + 6i                .................(from (1))

= 3 + 5 + 4i + 6i

Therefore, 3 + 4i + 5 + 6i = 3 + 4i + 5 + 6i, by Commutative property of addition.

Learn more about an expression here:

https://brainly.com/question/30091997

#SPJ4

The required length of LM and LK are given as 4.709 cm and 3.151 cm respectively.

These are the equation that contains trigonometric operators such as sin, cos.. etc. In algebraic operations.

Here,
Let LM = x and LK = y

Applying trig operators,

(1)

tan48 = 3.5 / y
y = 3.5 / tan48
y =  3.151 cm

(2)

sin48 = 3.5 / x
x = 3.5/sin 48
x = 4.709 cm

Thus, the required length of LM and LK are given as 4.709 cm and 3.151 cm respectively.

Learn more about trigonometry equations here:

brainly.com/question/22624805

#SPJ1

Answer:

x = 17.6

Step-by-step explanation:

This is a right triangle.

To find the value of x, the length of the hypotenuse, we write the following equation using Pythagoras theorem:

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

[tex] {12}^{2} + {13}^{2} = {x}^{2} [/tex]

[tex]144 + 169 = {x}^{2} [/tex]

[tex]313 = {x}^{2} [/tex]

x = 17.6 approximately

The equation of the sphere with center (6, 4, 9) that just touches the xy-plane is (x - 6)^2 + (y - 4)^2 + (z - 9)^2 = 0.

To find the equation of the sphere with center (6, 4, 9) that just touches the xy-plane, we can first find the equation of the xy-plane and then use the point-normal form of the equation of a sphere to find the desired equation.

The equation of the xy-plane is z = 0. Now, we can use the point-normal form of the equation of a sphere, which is

(x - h)^2 + (y - k)^2 + (z - l)^2 = r^2,

where (h, k, l) is the center of the sphere and r is the radius of the sphere. Since the sphere is just touching the xy-plane, the z-coordinate of the center is equal to 0, so the equation of the sphere can be written as (x - 6)^2 + (y - 4)^2 + (z - 0)^2 = r^2.

Learn more about equation here

https://brainly.com/question/29657992

#SPJ4

the values or root of x and y. are

• x = 9

• y = 6√2

The right triangles are all similar, so the ratios of hypotenuse to short side are the same:

27/x = x/3

x^2 = 81 . . . . . multiply by 3x

x = 9 . . . . . . . . take the square root

Then y can be found from the Pythagorean theorem:

x^2 = y^2 + 3^2

81 - 9 = y^2 = 72 . . . . . subtract 9

y = √72 = 6√2 . . . . . . .take the square root

The values of x and y are 9 and 6√2, respectively.

learn more about of root here

https://brainly.com/question/16932620

#SPJ4

The angle P in the intersected line is 35 degrees.

Two angles are called complementary if their measures add to 90 degrees

Therefore, angles N and P are complementary angles.

The angle M is 125 degrees.

Hence, Let's find the measure P.

Therefore,

N + P = 90°

Let's find the angle N. The sum of angle M and N is 180 degrees. The angle M is given as 125 degrees. Therefore,

180 - 125 = N (sum of angles on a straight line)

N = 55 degrees

Therefore, let's subtract the angle N from 90 degrees to get the angle P as follows:

P = 90 - 55

P = 35 degrees.

learn more on complementary angles here: https://brainly.com/question/5708372

#SPJ1

The graph of y=3x^4-16x^3+24x^2+48 is concave down for x values greater than or equal to 0.

The graph of y=3x^4-16x^3+24x^2+48 is an example of a polynomial function. To determine the concavity of a polynomial function, we must first identify the intervals where the function is increasing and decreasing. In this case, the function is increasing for all x values greater than or equal to 0.

Next, we must find the second derivative and determine the intervals where the second derivative is negative. If the second derivative is negative, then the graph is concave down. For this polynomial, the second derivative is y'' = -48x + 48, which is negative for all x values greater than or equal to 0. This means that the graph of y=3x^4-16x^3+24x^2+48 is concave down for all x values greater than or equal to 0.

Learn more about Graphs here:

https://brainly.com/question/24335034

#SPJ4

Answer:

Step-by-step explanation:

THIS IS THE 3.1.4 JOURNAL PROVING THE PYTHAGOREAN THEOREM ASSIGNMENT FULL ASSIGNMENT ANSWERS!!!

Determine if the TV will fit in the car.

a. Draw the rectangle that represents the height and width of the trunk including the diagonal. Label the dimensions on your sketch.

Answer:

y + 4= -3(x + 1)

y = -3x - 7

Step-by-step explanation: