y-1=5/4(x+2) in slope intercept form​

A) To find the length AC, we must use the trigonometric ratio

adjacent = 5cm

hypothenuse = AC

B) To find the length AB, we will use the value of AC just obtained to get it

since triangle ABC is a right-angled triangle, we will use Pythagoras theorem

so that

|AC|^2 = |AB|^2 +|BC|^2

AC = 5.8332cm

BC = 4cm

|AB|^2 = |AC|^2 - |BC|^2

C) The perimeter of the quadrilateral can be found by adding the length of all the sides around its edges.

Perimeter = AD +CD + BC + AB

We do not have CD and we must find CD

Perimeter of ABCD = 5 + 3.004366195 + 4 +4.245729883 = 16.25009708cm

D) To find the area of the quadrilateral we must find the area of triangle ADC and triangle ABC.

Area of triangle ADC = 1/2 x base x height= 1/2 x 3.004366195 x 5 = 7.510915488 square centimeter

Area of triangle ABC = 1/2 X base x height = 1/2 x 4 x 4.245729883 =8.491459766 square centimeter

Area of quadrilateral ABCD = 7.510915488 + 8.491459766 = 16.00237525 square centimeter

The following table shows how the relation is a function when t is the independent variable and not a function when t is the dependent variable:

t   0   1   2   3   4   5

v   0   1   2   3   4   5

A vertical line drawn from the independent variable axis (x-axis) meets the function graph only once because a function is a relationship between an input and an output in which each input has just one output.

The independent variable is the input, while the dependent variable is the output.

Filling out the table in such a way that when t is the independent variable, the relationship is a function, and when t is the dependent variable, the relation is not a function, results in the following table:

t   0   1   2   3   4   5

v   0   1   2   3   4   5

Given that each value of the independent variable t has a corresponding value of the velocity v, the aforementioned is a function.

However, when t is the dependent variable, the independent variable value of 1 produces two outputs of 1 and 5, which results in the following table:

t   0   1   2   3   4   5

v   0   1   2   3   4   5

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The correct option regarding the error in the proportional relationship is given as follows:

Row 2 should show 6 feet is equivalent to 182.88 centimeters.

A direct proportional relationship is a function in which the output variable y is calculated by the multiplication of the input variable x and the constant of proportionality k, as follows:

y = kx.

In the context of this problem, the input and the output are given as follows:

The constant is calculated dividing the output by the input of each of the lengths, hence:

Due to the different ratio, the mistake is in Row 2, and the correct value should be of:

6 x 30.48 =182.88 centimeters.

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In this session we will focus on calculating the composition of f and f.

given the function f, the composition f composition f is obtained by taking the definiton of f and replace the varaible x with the function f itself. So we are given that

So

So we have that f composition f is the function x.

Answer:

Well your answer is down below

Step-by-step explanation:

First as a Inequality −3(2x−5)<5(2−x)

Step 1: Simplify both sides of the inequality.

−6x+15<−5x+10

Step 2: Add 5x to both sides.

−6x+15+5x<−5x+10+5x

−x+15<10

Step 3: Subtract 15 from both sides.

−x+15−15<10−15

−x<−5

Step 4: Divide both sides by -1.

−x−1<−5−1 x>5

So your answer is x>5

hope this helps

~~Wdfads~~

Given:

Required:

To find the quotient and remainder using synthetic division.

Explanation:

Consider

Here the quotient is

And the remainder is

Final Answer:

Quotient :

Remainder : -9.

Answer:

y = -x + 4

Step-by-step explanation:

(-1, 5), (2. 2)

(x₁, y₁)  (x₂, y₂)

       y₂ - y₁        2 - 5          -3           -3

m = ----------- = ----------- = --------- = ------- = -1

        x₂ - x₁        2 - (-1)       2 + 1        3

y - y₁ = m(x - x₁)

y - 5 = -1(x - (-1))

y - 5 = -1(x + 1)

y - 5 = -x - 1

  +5        +5

----------------------

y = -x + 4

I hope this helps!

Answer:

see explanation

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = 8, - 4) and (x₂, y₂ ) = (- 1, 5) ← 2 ordered pairs from the table

m = [tex]\frac{5-(-4)}{-1-8}[/tex] = [tex]\frac{5+4}{-9}[/tex] = [tex]\frac{9}{-9}[/tex] = - 1 , then

y = - x + c

to find c use any ordered pair from the table

using (2, 2 ) , then

2 = - 2 + c ⇒ c = 2 + 2 = 4

y = - x + 4 ← in slope- intercept form

with y- intercept c = 4

Answer:

A. y - 2 = 2/3 (x - 0)

Step-by-step explanation:

The perimeter of triangle ABC that is congruent to triangle XYZ is: 36 cm.

Triangles that are congruent to each other have corresponding side lengths that have the same lengths that are equal to each other.

The sum of all the three sides of a triangle is equal to the perimeter of the triangle.

Since triangle ABC is congruent to triangle XYZ, their corresponding side lengths will also be congruent to each other. That is, they will have the same lengths.

Therefore:

Side AB = side XY = 12 cm [corresponding congruent sides]

Side AC = side XZ = 14 cm [corresponding congruent sides]

Side BC = side YZ = 10 cm [corresponding congruent sides]

Find the perimeter of triangle ABC by adding all three triangles together.

Perimeter of triangle ABC = side AB + side AC + side BC

Perimeter of triangle ABC = 12 + 14 + 10

Perimeter of triangle ABC = 36 cm

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The given statement can be written algebraically as follow:

3(7 - x)

3 means '3 is multipled by' and the factor (7-x) means 'the difference of seven and a number'

The amount that can be saved by purchasing ten notebooks at the sale price is 95 cents.

The information stated that the notebook are in sale for 2 at 99 cents. The cost for each notebook will be:

= 99 cents / 2

= 49.5 cents

The amount they can be saved will be:

= (59 × 10) - (49.5 × 10)

= 590 - 495

= 95 cents

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The Conditional Probability that the coin is weighted towards heads is 0.25/0.75 . Conditional probability is the result of Bayes’ Theorem .

A coin is tossed twice . So, total outcomes are { HH , TH , HT, TT} that is 4 .

Probability= favourable outcomes / total outcomes

Probability of getting two heads = ¼ = 0.25

Favourable outcomes are { HH , HT, TH}

Probability of getting at least one head = ¾ = 0.75

Conditional probability is measure of the probability of an event occurring, given that another event has already occurred.

Formula , P(A|B) = P(A and B)/ P(B)

Here, p(A|B) is conditional probability of A given B

P(B) is probability of event B occur

P(A and B) is probability of both events A and B occur

We have to find conditional probability that coin is weighted towards heads and it is = Probability of getting both heads / probability of getting at least one head

= ¼ / ¾ = 0.25 / 0.75

Which is required result .

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Answer:

To rewrite the given fraction with the least common denominator between them

The given fractions are,

we get, LCM of 3,10,30 is 30

The equivalent fractions for the above factions as common denominator 30 is as follows,

For 1/3,

Multiply and divide by 10, we get,

Using this we get,

For 5/10,

Multiply and divide by 3, we get,

Using this we get,

For 7/30,

Since the denominator 30, we get same fraction,

Answer is:

Answer: 1/5

Step-by-step explanation: It might be first easier to put it in decimal form so 8/10 is 0.8 and 0.8 divided by 4 is 0.2. 0.2 as a fraction is 1/5.

Answer:

[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

convert element to fraction: 4 = [tex]\frac{4}{1}[/tex]

= [tex]\frac{8}{12}[/tex] ÷[tex]\frac{4}{1}[/tex]

The fraction rule: a/b ÷ c/d = a/b x d/c

= [tex]\frac{8}{12}[/tex] × [tex]\frac{1}{4}[/tex]

Cross - cancel common  factor: 4

= [tex]\frac{2}{12}[/tex]

Cancel the common factor: 2

= [tex]\frac{1}{6}[/tex]

Answer:

Step-by-step explanation:

35-27=8

Answer:22.85%

Step-by-step explanation:

27 - 35

|35|

× 100% =

-8

35

× 100 = -22.8571428571% (decrease)

Answer:

33/50

Step-by-step explanation:

8/12=.66666667

.6666667=33/50

33/50 in simplest form is 33/50

hope this helped

have a good day ^^

Answer:

1.75x + 1.25y >= 280

Step-by-step explanation:

1.75x + 1.25y >= 280

The right angle, or 90°, is always one angle. The hypotenuse is the side with the 90° angle opposite.

If the side of DF = 7.7 cm then DE = 3.7 cm.

The right angle, or 90°, is always one angle. The hypotenuse is the side with the 90° angle opposite. The longest side is always the hypotenuse. The other two inner angles add up to 90 degrees.

A right triangle is a triangle in which one of the angles is at a right angle or two of the sides are perpendicular, or more formally, an orthogonal triangle, formerly known as a rectangled triangle. The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.

Given: DF = 7.7 cm and ∠ E = 29°

Let the equation be

sin θ = P/h = DF / DE

substitute the values in the above equation, we get

⇒ sin 29° = 7.7 / DE

⇒ DE = 7.7 / 0.48 = 3.696 = 3.7 cm

Therefore, the correct answer is option a) 3.7 cm.

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Answer:

2(5*7) + 2(4*7) + 2(4*5)

Step-by-step explanation:

I can't really see all the values on the cuboid. I'm going to assume the dimensions are 5cm by 4cm by 7cm.

Surface area of this cuboid would be:

2(5*7) + 2(4*7) + 2(4*5)

Option C and Option D are the appropriate measurements of center and spread for the dataset.

The mean, median, and mode are three examples of center-of-data measurements.

Included in the spread measurements are range, mean deviation, variance, and standard deviation.

The given data is displayed as a box plot with the minimum, maximum, median, Q1 and Q3 values.

The median is the most accurate measurement of the middle of the data.

The interquartile range is the appropriate way to measure spread.

In conclusion, the median and interquartile range, respectively, are the most suitable measures of the data set's center and dispersion.

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Answer:

87

Step-by-step explanation:

Answer:87

Step-by-step explanation:

The balance of the checks and cash (receipts and payments) is -$245.90.

The balance is the difference between receipts of cash and payments of checks and cash.

Using addition and subtraction operations, the balance is determined as follows:

32.96

121.03

24.70

Total checks = $178.69

22 one dollar bills = $22.00 (22 x $1)

5 ten dollar bills       $50.00 (5 x $10)

15.21 in coins              $15.21

Total cash payments = $87.21

$20 cash received

Total cash = $67.21

Balance   = -$245.90 [$20 - ($87.21 + $178.69)]

Thus, the balance of the checks and cash totals -$245.90, showing that payments outstripped receipts.

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How much is the balance between receipts and payments?

The ​x-coordinate of point R′ after dilation is 3

The given parameters are:

R(2,−1),S(3,3), and T(4,6).

The scale factor of dilation is given as

Scale factor = 1.5

Mathematically, this transformation can be represented as

(x, y) = 1.5(x, y)

When represented as a function, we have

Image = 1.5 * Point

For point R, we have

R = (2, -1)

Substitute the equation Point =  (2, -1) in the equation Image = 1.5 * Point

So, we have the following equation

R' = 1.5 * (2, -1)

Evaluate the product

R' = (3, -1.5)

Remove the y-coordinate

R'x = 3

Hence, the image of the x cooridnates is 3

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You have the following expression:

39 + (-20.4)

In order to simplify the previous expression, you first eliminate the parenthesis. To do that, you take into account that the sign before the parenthesis must multiply the sign inisde. In this case, you have a positive sign + before the parenthesis, and inside you have a minus -. When the parenthesis is eliminated, these signs are multiplied (here you use the multiplication rule for signs). Thus, you have that - x + = - (positive multiplied by negative is equal to negative). And the expression becomes:

39 + (-20.4)

= 39 - 20.4

= 18.6

Hence, the simplified expression is 18.6

s is 4/15 of the equation one sixth plus s equals 21 over 30.

Two or more expressions with an Equal sign is called as Equation.

The given equation is

one sixth plus s equals 21 over 30

This can be written as

one sixth can be written as 1/6.

21 over 30 can be written as 21/30.

so the equation is 1/6+s=21/30.

Let us separate the variable s to find the value of s.

s=21/30-1/6

The LCM of 30 and 6 is 30

s=21-5/30

s=16/30=4/15

Hence s is 4/15 of the equation one sixth plus s equals 21 over 30.

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Answer:

[tex] {4}^{3} {y}^{2} \\ {7}^{3} \\ {3}^{3} {x}^{3} [/tex]

If two lines are perpendicular, it means that the slope of one line is equal to the negative reciprocal of the slope of the other line. Given a value, a/b, the negative reciprocal of a/b is - b/a.

From the information given, the slope of the red line is 2/5. This means that the slope of the green line which is perpendicular to the red line is - 5/2

Option D is correct

1° and 14° are acute angles.  

An acute angle is one that is less than 90°, or one that is between 0° and 90°.  

The opposite of an acute angle is an obtuse angle. In other terms, an obtuse angle is one that is larger than 90° and less than 180°. It is the angle that is between 90° and 180°.

90° is the standard for a right angle. Any angle that is less than 90° is called acute, and any angle that is larger than 90° is called obtuse.

∠1 and ∠14 are less than 90° therefore, they are acute angles.

Correct question :

What type of angle are 1° and 14°?

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Answer:

x = 20

Step-by-step explanation:

X = 20 Because the values are Corresponding Angles This means that they are congruent

Part A

start by naming the variables you will be using in the system of equation

x= number of two-point baskets

y= number of three-point baskets

since she did 23 baskets the first equation representing the number of baskets she made will be

the second equation will be for the points, taking into account that x is 2 points and y is 3 points and she made 53 points.

Part B

Since the equations are not in the slope-intercept form they will be more complicated to graph, which using substitution it will be faster to find the solution of the system.

However both methods could be used.

Part C