What is the function rule for the line?

Answer:

its b

Step-by-step explanation:

i took the test

y = - 0.5x + 5.5 is the equation of a line perpendicular to line CD in slope-intercept form that passes through the point (−1, 6).

The slope-intercept form of a straight line is y = mx + c.

Here, x and y are coordinates, m is the slope and c is the y-intercept of the line.

Given, two points are C(1, 1) and (3, 5).

Therefore, equation of the line CD is:

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

⇒ [tex]\frac{x - 1}{y-1}[/tex] = [tex]\frac{1-3}{1-5}}[/tex]

⇒  [tex]\frac{x - 1}{y-1}[/tex] = [tex]\frac{-2}{-4}}[/tex]

⇒2(x - 1) = (y - 1)

⇒ y = 2x - 1

Let, line AB is perpendicular to the line CD and passes through the point (-1, 6).

Therefore, slope of the line CD is = 2.

We know, slope of CD × slope of AB = -1

Therefore, slope of AB = -1 / slope of CD = [tex]-\frac{1}{2}[/tex].

Now, line AB has a slope of [tex]-\frac{1}{2}[/tex] and passes through the point (-1, 6).

Therefore, equation of the line AB is:

(y - y₁) = m(x - x₁)

⇒ [y - (6)] = [tex]-\frac{1}{2}[/tex][x - (- 1)]

⇒ 2(y - 6) = (-x - 1)

⇒ 2y - 12 + x + 1 = 0

⇒ x + 2y = 11

⇒ y = - 0.5x + 5.5

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Answer:

.75

Step-by-step explanation:

there is prof

Answer:

The angles are: 50.3 and 129.7

Step-by-step explanation:

The sum of supplementary angles is 180°.

Let x be one angle then the other angle will be x+79.4

Using the supplementary angle sum

[tex]x+x+79.4 = 180\\2x+79.4 = 180\\2x = 180-79.4\\2x = 100.6\\\frac{2x}{2} = \frac{100.6}{2}\\x = 50.3[/tex]

For the measurement of 2nd angle

x+79.4 => 50.3+79.4 => 129.7

Hence,

The angles are: 50.3 and 129.7

Answer: The 2 answers are inequality form and interval notation: n>200, and (200, ∞).

Step-by-step explanation: To solve for n, you’ll need to simplify the both sides of the inequality, and then isolating the variable.

Answer:

-9,-4

Step-by-step explanation:

Answer:

the price of each pound of pretzels is 4.20

Step-by-step explanation

1 pound · [tex]\frac{10.50}{2.5 pound} = 4.20$\\[/tex]

Answer:After dividing 25 into 105, the next step is to

25 by 4.

The next step is to

100 from 105.

The next step is to

the next number.

Step-by-step explanation:

Answer:

20.4 miles

Step-by-step explanation:

Answer: 20.4

Step-by-step explanation: How many more miles is 27.2 than 6.8

usually these kind of equations mean to subtract, in other terms find the underlined key words

27.2-6.8= 20.4

Answer:

44 in

Step-by-step explanation:

Perimeter is adding up all the sides together and since we know it is a square that means each side is equal

11 in + 11 in + 11 in + 11 in = 44 in

Answer:

TA of longer piece = 2(lw) + 2(hw) + 2(lh) 2*1*1 +2*6*1 + 2*1*6 = 2 + 12 + 12 = 26 TA of shorter piece = 2(lw) + 2(hw) + 2(lh) = 2*1*1 + 2*3*1 + 2*1*3 = 14 Add the two surface areas together. 26 + 14 = 40 Subtract the area where the two pieces of wood are attached. Because that section will not be painted on either piece of wood, two times that area must be subtracted. 40 - (2*1*1) = how many square inches of purple?

Step-by-step explanation:

Answer:

100 + 80

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is the completed answer.

5z - 4 = 26

5z−4+4=26+4

5z=30

Divide both sides by 5.

5z/5 = 30/5

z=6

Answer:

The answer is C

subtract the coefficients

Answer:

Never applies

Step-by-step explanation:

Given

Argument: The sum of a number and its opposite is always 1

Assume a positive number x

The opposite of the number is negative x (i.e. -x)

The sum of both numbers is:

[tex]Sum = x + (-x)[/tex]

Open Bracket

[tex]Sum = x -x[/tex]

[tex]Sum = 0[/tex]

Now, take for instance.

[tex]Number = 5[/tex]

Opposite would be

[tex]Opposite = -5[/tex]

Their sum is:

[tex]Sum = 5 + (-5)[/tex]

[tex]Sum = 5 -5[/tex]

[tex]Sum = 0[/tex]

Another instance is:

[tex]Number = -8[/tex]

Opposite would be

[tex]Opposite = 8[/tex]

Their sum is;

[tex]Sum = -8 + 8[/tex]

[tex]Sum = -0[/tex]

Hence, the argument never applies because the sum is never 1

Answer:

Length of rectangle = 36 yd and width of rectangle = 9 yd

Step-by-step explanation:

Let width of rectangle = w

Length of rectangle = 4w (four times the width)

Perimeter of rectangle = 90 yd

We need to find length and width of rectangle.

The formula used will be: [tex]Perimeter \ of \ rectangle=2(l+w)[/tex]

Where l is length and w is width

Putting values and finding length and width of rectangle

[tex]Perimeter \ of \ rectangle=2(l+w)\\90=2(4w+w)\\90=2(5w)\\90=10w\\w=\frac{90}{10}\\w=9[/tex]

So,width (w) of rectangle is w= 9 yd

Finding length of rectangle = 4w = 4*9 = 36 yd

So, length of rectangle = 36 yd and width of rectangle = 9 yd

Answer:

this is the answer.

Step-by-step explanation:

Find the Equation of a Line Given That You Know Its Slope and Y-Intercept. The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.

Answer:

y=mx+b is slope-intercept form

where m is the slope and b is the y intercept.

Since the line crosses the y axis at 0,0 the intercept is +0 or just nothing.

now all we need to do is find the slope

to do that just go from the y intercept (the first point) y units up and x units over untill u cross at the next point. for examples from (0, 0) to (1, 8)-the next point- i need to go up 8 units up and 1 unit over. this is described as rise over run and that is your slope 8/1 rise/run. rise is how many units i go up (or down) from the y intercept until the next point that lies on the line and run is how far i need to go over from how many units i just went up. If u continue to go 8 up and 1 over from each point u will see that u get a point lying of the line. This is why 8/1 is your slope

8/1 is the slope and 0,0 is your y intercept so we put nothing

the equation is y=8x

Step-by-step explanation:

Answer:

y=8x

Step-by-step explanation:

Pick two points (0,0) (2,16)

Then 16-0/2-0= 8

8 is the slope

The y intercept is 0 so

y=8x

Answer:

b

Step-by-step explanation:

sorry if wrong

Answer:

x-intercept= (4.265,0)

y-intercept= (0,-534)

Step-by-step explanation:

Answer:

-0.4

Step-by-step explanation:

-2 divided by 5

Answer:

-4/10

Step-by-step explanation:

There are many more this is one of them.

Answer:

x=242/3

alternative form= 80 2/3, x=80.6

Step-by-step explanation:

3x-4y=242

substitute y = 0

3x-4x0=242

calculate the product

3x-0=242

remove 0

3x=242

divide both sides (by 3 in order to leave x by itself)

done

Answer:

r=0

Step-by-step explanation:

the line passes through the origin which means there is no y-intercept

Answer:

Step-by-step explanation:

5.23x+3.76-3.67x+6.39

x(5.23-3.67) +(3.76+6.39)

1.56x + 10.15

Answer:

1.56x + 10.15

Step-by-step explanation:

(5.23x + 3.76) – (3.67x – 6.39)

(a + b) – (c – d) = a + b – c + d

Remove the parentheses and change the signs as needed:

5.23x + 3.76 – 3.67x + 6.39.

Group the like terms and simplify:

5.23x – 3.67x + 3.76 + 6.39

1.56x +10.15.

Answer:

[tex]P(At\ least\ 2) = 0.75[/tex]

Step-by-step explanation:

Given

Balls = 1 to 4

Required

Determine the probability of selecting ball numbered at least 2

Here, we'll assume that all numbers have the same probability.

The probability of each ball will be:

[tex]Probability = \frac{1}{4}[/tex]

So:

[tex]P(At\ least\ 2) = P(2) + P(3) + P(4)[/tex]

Recall that

[tex]Probability = \frac{1}{4}[/tex] --- for each ball

So, the equation becomes

[tex]P(At\ least\ 2) = \frac{1}{4} + \frac{1}{4} + \frac{1}{4}[/tex]

[tex]P(At\ least\ 2) = \frac{3}{4}[/tex]

[tex]P(At\ least\ 2) = 0.75[/tex]

Answer: 42v-59

Step-by-step explanation:

Combine like terms

29v- -13v= 42v

The negative sign turns 59 into -59

The value of the equation is A = 42v - 59

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = ( 29v ) - ( -13v + 59 )   be equation (1)

On simplifying the equation , we get

A = 29v - ( -13v ) - 59

On further simplification , we get

A = 29v + 13v - 59

The value of A = 42v - 59

Therefore , the value of A is 42v - 59

Hence , the equation is A = 42v - 59

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Answer:

[-2, 5)

Step-by-Step Explanation:

The solution set of the given inequality {x ;-2 ≤ x < 5} will be; [-2, 5).          

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

Given that the inequality y = {x ; -2 ≤ x < 5}

WE are asked to find the solution set for the given inequality;

⇒ y={x ; -2 ≤ x < 5} i.e domain= [-2, 5)

⇒y=x ∀ x ∈ [-2, 5)

The solution of the given inequality;

x ∈ [-2, 5)

Therefore, The solution set of the given inequality {x ;-2 ≤ x < 5} will be; [-2, 5).          

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Answer:

x=180

Step-by-step explanation:

Let us have x represent the entire mask collection

We know that 117 is 65% of his collection. We want to know the total number of masks he has

The equation we set up is:

117 is 65% of x: this translates to

117=0.65x, then we solve for x by dividing 0.65 by both sides

180=x

The total number of masks Josiah has is 180.

Answer:

1. If you're taking square roots, the number must be a perfect square to give a rational root.

64 = 8^2, so √64 = 8 is rational

Similarly, since

64 = 4^3, ∛64 = 4 is rational.

For small numbers, it's easy to check for possible roots, as there aren't that many candidates. In general, it's much more difficult.

2.

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

Given that the measure of segment BC must equal the addition of the measure of segment BA plus the measure of segment AC, we can write this in equation form:

BC = BA + AC

then we replace them with the measure information they provide:

12 x + 4 = 7 x - 4 + 8 x + 2

and we solve for x in the equation:

12 x + 4 = 15 x - 2

subtract 12 x from both sides:

4 = 15 x - 12 x - 2

4 = 3 x - 2

add 2 on both sides

4 + 2 = 3 x

6 = 3 x

x = 6/3

x = 2