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3 years ago

Find the slope and y-intercept of the line. 18x + 4y = 112 A)-9/2; 1/28 B)-2/9 ; 28 C)18; 112 D)-9/2; 28

Mathematics

1 answer:

mrs_skeptik [129]3 years ago

5 0

Answer:

The slope is -9/2 and the y intercept is 28

Step-by-step explanation:

We want to put this in slope intercept form

y = mx+b where m is the slope and b is the y intercept

18x + 4y = 112

Subtract 18x from each side

18x+4y-18x = -18x+112

4y = -18x+112

Divide each side by 4

4y/4 = -18x/4 +112/4

y = -9/2x + 28

The slope is -9/2 and the y intercept is 28

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The length of a rectangle is a inches. Its width is 5 inches less then the length. Find the area and perimeter of the rectangle

Travka [436]

Answer:

Area = (a² -5a) in²

Perimeter = (4a -10) in

Step-by-step explanation:

Let the length of the rectangle be a.

Given that, its width is 5 in less than the length.

So,

length ⇒ a

width ⇒ (a - 5)

First, let's find the area of the rectangle.

Area = length × width

Area = a ( a - 5 )

Solve the brackets.

Area = (a² -5a) in²

Now, let us find the perimeter of the rectangle.

Perimeter = 2 ( l + w )

Perimeter = 2 ( a + a - 5 )

Perimeter = 2 ( 2a - 5 )

Perimeter = (4a -10) in

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2 years ago

Mr. Smith has an online cooking show. Before he films an episode about baking the perfect pound cake, he prepares his ingredient

bagirrra123 [75]

Answer:

Step-by-step explanation:

There are 4/4 to make a whole so 2 1/2 cups would be 10 'scoops' and 1 1/4 would be 5 'scoops'. Add 10 + 5 to get a total of 15 scoops.

Hope that helps and have a great day!

4 0

3 years ago

For the equation y = 3.5x and y= 25x + 40.50, x represent time in hours and y represents cost in dollars. Which equation is not

dem82 [27]

We are given equations y =3.5x and y=25x +40.50.

Where x represent time in hours and y represents cost in dollars.

We need to determine that which equation is not the equation of a proportional relationship?

In first equation we have slope 3.5 and y-intercept 0.

In second equation, we have slope 25 and y-intercept 40.50.

In order to have a a proportional relationship, there should be y-intercept =0.

<h3>Therefore, y= 25x + 40.50 is not the equation of a proportional relationship.</h3>

5 0

3 years ago

The coordinates of the vertices of a polygon are (-2, 1). (-3, 3), (-1, 5), (2, 4), and (2, 1). What is the perimeter of the pol

kobusy [5.1K]

Answer:

$15.2\ units$

Step-by-step explanation:

step 1

Plot the vertices of the polygon to better understand the problem

we have

$A(-2, 1). B(-3, 3), C(-1, 5), D(2, 4),E(2, 1)$

using a graphing tool

The polygon is a pentagon (the number of sides is 5)

see the attached figure

The perimeter is equal to

$P=AB+BC+CD+DE+AE$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 2

Find the distance AB

$A(-2, 1). B(-3, 3)$

substitute in the formula

$d=\sqrt{(3-1)^{2}+(-3+2)^{2}}$

$d=\sqrt{(2)^{2}+(-1)^{2}}$

$d_A_B=\sqrt{5}=2.24\ units$

step 3

Find the distance BC

$B(-3, 3), C(-1, 5)$

substitute in the formula

$d=\sqrt{(5-3)^{2}+(-1+3)^{2}}$

$d=\sqrt{(2)^{2}+(2)^{2}}$

$d_B_C=\sqrt{8}=2.83\ units$

step 4

Find the distance CD

$C(-1, 5), D(2, 4)$

substitute in the formula

$d=\sqrt{(4-5)^{2}+(2+1)^{2}}$

$d=\sqrt{(-1)^{2}+(3)^{2}}$

$d_C_D=\sqrt{10}=3.16\ units$

step 5

Find the distance DE

$D(2, 4),E(2, 1)$

substitute in the formula

$d=\sqrt{(1-4)^{2}+(2-2)^{2}}$

$d=\sqrt{(-3)^{2}+(0)^{2}}$

$d_D_E=\sqrt{9}\ units$

$d_D_E=3\ units$

step 6

Find the distance AE

$A(-2, 1).E(2, 1)$

substitute in the formula

$d=\sqrt{(1-1)^{2}+(2+2)^{2}}$

$d=\sqrt{(0)^{2}+(4)^{2}}$

$d_A_E=\sqrt{16}\ units$

$d_A_E=4\ units$

step 7

Find the perimeter

$P=AB+BC+CD+DE+AE$

substitute the values

$P=2.24+2.83+3.16+3+4=15.23\ units$

Round to the nearest tenth of a unit

$P=15.2\ units$

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2 years ago

HELP TIMED TEST!!!!!!

aalyn [17]

Answer:

-4 and 9

Step-by-step explanation:

factored

(x - 9)(x + 4) = 0

with this x*x - 5x - 36 = 0

so x = 9 or x = -4

7 0

3 years ago