a. Find the slope of the line that passes through the points (2,-5) and (-2,3).
b. What are the slope and y-intercept of the equation 2x - 5y = -10?
c. Find the x value so that the line through the points (x,-9) and (0,1) has a slope of -4.
d. Write the equation of a line that passes through the point (-1,5) and has a slope of -7. Your answer should be given in the form y = mx + b.

Answer:

40

Step-by-step explanation:

I'm not sure about it

Answer:c

Step-by-step explanation: function 2 y-intecept is -5(when r=0), fuction 1 y-intecept:

p=-3/2*r-5  (r=0 because we looking for y-intecept)

p=0-5=-5

Answer:

The functions have the same y-intercept

Step-by-step explanation:

y-intercept is when r = 0

Function 1:

[tex]p = -\dfrac32(0)-5=-5[/tex]

⇒ y-intercept is at -5

Function 2:

From inspection of table, when r = 0, p = -5

⇒ y-intercept is at -5

Therefore, the functions have the same y-intercept

Step-by-step explanation:

multiplying expressions.

remember every term of one expression has to be multiplied with every term of the other expression, and the results are added up (while considering their individual signs, of course).

1.

(-3×3 + 2x - 4)(3x - 2)

(-9 + 2x - 4)(3x - 2)

(-13 + 2x)(3x - 2) = -13×3x + -13×-2 + 2x×3x + 2x×-2 =

= -39x + 26 + 6x² - 4x = 6x² - 43x + 26

2.

let's do the other multiplication and compare the result with the result of 1 :

(-13 + 2x)(2x - 3) = -13×2x + -13×-3 + 2x×2x + 2x×-3 =

= -26x + 39 + 4x² - 6x = 4x² - 32x + 39

no, this product is not the same as in 1.

Answer:

25%

Step-by-step explanation:

37/128

= 1/4

= 0.25

= 25%

Answer:

this is a tricky one, but the exact number is 28.9 percent i rounded it up

Step-by-step explanation:

hope this helps :)

Answer:

5x^2+2x-432

Step-by-step explanation:

15x^2+x-215×2+x−2

=15x^2+x-430+x−2

=15x^2+x+x-430-2

=15x^2+2x-432

The expression that represents the length of the sign is 5x - 2 feet.

The area of Rectangle is length times of width.

The area of a rectangle is given by the formula A = length × width.

A = L × W

The given expression, 15x^2 - x - 2, represents the area of the sign in square feet. So we can substitute this expression for A and solve for L:

A = L × W

15x² - x - 2 = L × (3x + 1)

L = (15x² - x - 2) / (3x + 1)

If the height of the sign is (3x+1) feet, then the length of the sign is given by the area divided by the height:

L = (15x² - x - 2) / (3x + 1)

Substituting (3x+1) for the height, we get:

L = (15x² - x - 2) / (3x + 1) = [(3x + 1) (5x - 2)] / (3x + 1) = 5x - 2

Therefore, the expression that represents the length of the sign is 5x - 2 feet.

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The area (in square feet) of the school sign can be represented by 15x2 − x − 2. a. Write an expression that represents the length of the sign. If the height of the sign is (3x+1) ft.

Answer:

The answer is the option A.

x=(5±)/4

Step-by-step explanation:

The quadratic formula has the following form for a quadratic equation ax²+bx+c:

x=(-b±))/(2a)

We apply the quadratic formula and we obtain:

x=(-(-5)±))/(2(2))

x=(-(-5)±))/(4)

x=(-(-5)±))/(4)

brainliest pls

Answer:The ratio of the new area to the old area is 1:4

Step-by-step explanation:

Answer:

add the 2000

Step-by-step explanation:

8 is your x so meters is 5

Answer:

C. y= -3x + 6

Step-by-step explanation:

line passes through +6 at the y axis

so it narrows it down to C and D

line passes through 2 at the x axis at 2,0

when line has x  = 2 then y should be 0

only choice left is C. y= -3x + 6

0 = -3(2) + 6

0 = 0

Answer:

75.4

Step-by-step explanation:

2·π·12

75.36

The equation for finding the circumference of a circle is 2pi times the radius.

The radius is already given, so we multiply it by 2.

12*2

= 24

After that, we multiply 24 by pi.

24*3.14

= 75.36

Answer:

-20

Step-by-step explanation:

(-12) + (-8)

-12 - 8

-20

Answer:

5x-1=10x+3x

5x-3x=10+1

2x=11

x=11/2

Answer:

9.693 hope this helps!!!

Answer:

(4/7 , 1 4/7)

Step-by-step explanation:

Answer:

[tex]\sf (-\dfrac{4}{7} ,1\dfrac{4}{7} )[/tex]

given:

insert question 2 into 1

[tex]\sf -x + 1 = 6x + 5[/tex]

[tex]\sf -x - 6x = 5 - 1[/tex]

[tex]\sf -7x = 4[/tex]

[tex]\sf x = -\frac{4}{7}[/tex]

find the value of y:

[tex]\sf y = -x + 1[/tex]

[tex]\sf y = -\frac{-4}{7} + 1[/tex]

[tex]\sf y = \frac{4}{7} + 1[/tex]

[tex]\sf y = \frac{4}{7} +\frac{7}{7}[/tex]

[tex]\sf y = \frac{11}{7}[/tex]

[tex]\sf y = 1\frac{4}{7}[/tex]

Therefore coordinates: (x,y) = [tex]\sf (-\dfrac{4}{7} ,1\dfrac{4}{7} )[/tex]

Answer:

-4

Step-by-step explanation:

log (2) (1/16)

2^4=16

fraction is negative exponent

-4

Answer:

-4

Step-by-step explanation:

i took the test

Answer:

125 hours

Step-by-step explanation:

Lucas already has $50. Since he get $18 per hour, you should use that to get the answer. After a little while, I got 125×18 and got 2250. If you add up the $50 he already has, the minimum hours he has to work is 125 hours which is about 5 days.

Answer:

I think the answer is 125 hours

Step-by-step explanation:

To find the unit rate we divide $2300 divided by $18.00

$2300 ÷ 18 = 127.777778

We round that up to 128

We also need to find the unit rate of his saved money

$50 ÷ $18.00 = 2.77777777778

We round that up to 3

128 hours - 3 hours = 125 hours

Answer:

-1

Step-by-step explanation:

the slope is negative one because 2--6/-7-1 which is 8/-8 which makes negative one.

Answer:

A) attached

B) 15/36 = 5/12

C) 21/36 = 7/12

D) 18/36 = 1/2

E) 32/36 = 8/9

Step-by-step explanation:

A probability distribution is a table showing all the possible values a discrete random variable can take, plus the probability that it'll take each value.

Let X be the score of a pair of fair six-sided dice

X can take the values 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 and 12

Create a sample space (attached) to visually see the sums of different combinations and to help construct the probability distribution table (attached)

B) Reading from the table:

   P(X ≥ 8) = P(X=8) + P(X=9) + P(X=10) + P(X=11) + P(X=12)

                 = 5/36 + 4/36 + 3/36 + 2/36 + 1/36

                 = 15/36 = 5/12

C) Reading from the table:

   P(X ≤ 7) = P(X=7) + P(X=6) + P(X=5) + P(X=4) + P(X=3) + P(X=2)

                 = 6/36 + 5/36 + 4/36 + 3/36 + 2/36 + 1/36

                 = 21/36 = 7/12

D) Reading from the table:

   P(X is even) = P(X=2) + P(X=4) + P(X=6) + P(X=8) + P(X=10) + P(X=12)

                       = 1/36 + 3/36 + 5/36 + 5/36 + 3/36 + 1/36

                       = 18/36 = 1/2

E)  Reading from the table:

   P(3≤X≤10) = P(X=3) + P(X=4) + P(X=5) + P(X=6) + P(X=7) + P(X=8) +  

                       P(X=9) + P(X=10)

                    = 2/36 + 3/36 + 4/36 + 5/36 +6/36 + 5/36 + 4/36 + 3/36

                    = 32/36 = 8/9

Answer:

The height of a geostationary orbit is calculated as the distance required to have an orbital period of 24 hours

Step-by-step explanation:

Answer:

Let's say that the population of the city is x

So x - 30,000 is the answer

The 19 plants have terminal flowers are tall, and have colored seeds.

It is given that in Mendel’s genetic experiments many characteristics of the plants were quantified, such as their height (tall or short), flower position (axial or terminal), and seed color (colored or white).

It is required to find the how many plants have terminal flowers are tall and have colored seeds,

In mathematics, subtraction is defined as the difference between two quantities. The application of subtraction can be used broadly in different applications to find or solve the problems such as finding differences between two quantities and many more.

We have a number of plants = 100

Number of the tall with axial flowers and colored plants = 35

Total number of white seeds plants = 25

Number of plants that is short = 4

Number of plants having terminal flowers = 6

Total number of short plants = 25

The number of have terminal flowers are tall and have colored seeds:

= 100 - 35 - 25 - (25 - 4)

= 19

Thus, the 19 plants have terminal flowers are tall, and have colored seeds.

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The distance from the top of the Sunshine Skyway Bridge to the boat is 305.1 feet.

The values of all trigonometric functions dependent on the value of the ratio of sides of a right-angled triangle are known as trigonometric ratios. The trigonometric ratios of a right-angled triangle's sides with regard to any of its acute angles are known as that angle's trigonometric ratios.

The three sides of the right-angled triangle are:

Hypotenuse (the longest side)

Perpendicular (opposite side to the angle)

Base (Adjacent side to the angle)

The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

The trigonometry ratios for a specific angle ‘θ’ is given below:

Trigonometric Ratios:

Sin θ =  Perpendicular/Hypotenuse

Cos θ = Base/Hypotenuse

Tan θ = Perpendicular/Base or Sin θ/Cos θ

Cot θ = Base/Perpendicular or 1/tan θ

Sec θ = Hypotenuse/Base or 1/cos θ

Cosec θ = Hypotenuse/Perpendicular or 1/sin θ

Let the tower be AB = 175 feet, with the top of the tower as A.

Let the top of the boat be C. We join BC to get a right-angled triangle ABC with ∠B = 90°.

We are told that from the top of the tower, Lexi sees a boat at an angle of depression of 35°, represented as ∠CAD. ∠ACB will be equal to this angle as they are alternate angles.

∴ ∠ACB = 35°.

Let the distance from the top of the boat to the top of the tower be feet, the distance CA, the hypotenuse of the triangle ABC.

∴ By trigonometry, we can say that:

sin 35° = AB/BC

or, 0.5736 = 175/x

or, x = 175/0.5736

or, x = 305.1

∴ The distance from the top of the Sunshine Skyway Bridge to the boat is 305.1 feet.

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Answer:

Step-by-step explanation:

Using the distance formula,

[tex]AB=\sqrt{(0-2)^{2}+(4-2)^{2}}=2\sqrt{2}\\AC=\sqrt{(0-(-2))^{2}+(4-(-1))^{2}}=\sqrt{29}\\BC=\sqrt{(2-(-2))^{2}+(2-(-1))^{2}}=5[/tex]

So the perimeter is [tex]5+2\sqrt{2}+\sqrt{29}[/tex]

Using it's concept, it is found that the average rate of change of the function over the interval is of 0.

It is given by the change in the output divided by the change in the input.

In this problem, in the interval from x = -2 to x = 0, the input remains constant at - 1, hence:

[tex]r = \frac{-1 - (-1)}{0 - (-2)} = 0[/tex]

The average rate of change of the function over the interval is of 0.

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Answer: C

Step-by-step explanation:[tex]A=\frac{1}{2}(2)(6+8)=14[/tex]

Answer:

99.5

Step-by-step explanation:

Radius = Diameter/2

199/9

=99.5metres

Answer:

The equation

c x 2 > k

l x 3 ?> c > k

g = 30 = c + l + k

this equation is the same as...

Cecile read twice as many books as Kami.

Laura read 3 times as many books as Kami, but possibly less than Cecile.

Gigi read 30 books. 30 books is the same as all 3 girls combined.

To find out how many books each girl read, you need to find 3 unequal numbers that add up to 30. These numbers are substituted, only because they can be anything at all, and I want to prevent confusions.

hope this helps!

The width of the frame for the image is about 1.5 inches.

Area is the amount of space occupied by a two dimensional object or figure.

Let w represent the width of the frame, hence:

Length of image and frame = 7 + w + w = 2w + 7

Width of image and frame = 5 + w + w = 2w + 5

Area of width and frame = (2w + 7)(2w + 5)

80 = 4w² + 24w + 35

4w² + 24w - 45 = 0

w = 1.5 inches

The width of the frame for the image is about 1.5 inches.

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