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3 years ago

6. A line passes through (1, -5) and (-3, 7).

Mathematics

1 answer:

Phantasy [73]3 years ago

7 0

Answer:

1.y−7=3(x+3)

2.y=3x+16

Step-by-step explanation:

use point-slope formula to find the slope and plug it into the equation

y-y₁=m(x-x₁)

slope= - $\frac{y2-y1}{x2-x1}$

plug in the value of x and y from both of the coordinates into this equation and then use one set of points and slope to get your equation

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A company had 41 employees in order 980 uniforms for them if they want to give each employee same number of uniforms how many mo

Tema [17]

Answer:

They would have to order 4 more uniforms in order to distribute an equal amount to each employee

Step-by-step explanation:

First we have to calculate the number of maximum uniforms that can be given to each employee equally

For this we simply divide the number of uniforms by the number of employees and look only at the whole number

980/41 = 23.92 = 23

we don't round we just take the decimals

now we multiply the number of maximum uniforms that we can give each one by the number of employees

23 * 41 = 943

to the 980 uniforms we subtract the 943

980 - 943 = 37

Calculate how much is left to 37 to reach 41

41 - 37 = 4

This means that they would have to order 4 more uniforms in order to distribute an equal amount to each employee

3 0

3 years ago

What will be the result of substituting 2 for x in both expressions below? One-half x + 4 x + 6 minus one-half x minus 2 Both ex

tiny-mole [99]

Replace x with 2 and solve each equation:

1/2(2) + 4 = 1 + 4 = 5

2+ 6 -1/2(2) -2 = 8-3 = 5

The answer is:

both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

7 0

2 years ago

If nm = 8x - 14 and jk = x squared + 1, find JK

marissa [1.9K]

A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. The length of Jk can be either 10 or 26.

<h3>What is a rectangle?</h3>

A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but the reverse statement may or may not be true.

Since in a rectangle the opposite sides are equal, therefore, the sides NM and JK will be equal.

JK = MN

8x - 14 = x² + 1

0 = x² - 8x + 15

x = 5, 3

Hence, the length of Jk can be either 10 or 26.

The complete questions are:

Quadrilateral JKMN is a rectangle, if NM= 8x - 14 and JK= x squared + 1, find JK.

Learn more about Rectangle:

brainly.com/question/15019502

#SPJ1

8 0

2 years ago

What additional information could be used to prove ΔABC ≅ ΔMQR using SAS? Select two options. m∠A = 64° and AB = MQ = 31 cm CB =

enyata [817]

Answer:

m∠R = 60° and AB ≅ MQ

m∠Q = 56° and CB ≅ RQ

Step-by-step explanation:

Given data :

Prove ΔABC ≅ ΔMQR using SAS

The missing information to prove ΔABC ≅ ΔMQR using SAS

m∠R = 60° and AB ≅ MQ

m∠Q = 56° and CB ≅ RQ

3 0

3 years ago

Read 2 more answers

Faron wants to paint the four walls in his bedroom. The room measures 12 ft long, 10 ft wide and 8 ft high. There are two doors

Rainbow [258]

Answer:

319 square feet.

Step-by-step explanation:

The walls of the room (the ones on the long side) have an area of 12 x 8 = 96 square feet each one. Thus, their area is 96 x 2= 192 square feet.

The other two walls have an area of 10 x 8 = 80 square feet each one. Thus, their area combined is 80 x 2 = 160 square feet.

Therefore, we have that the total area of the four walls is

192 +160 = 352 square feet

However, we have a door and a window that won't be painted.

The area of the door is: 3 x 7 =21 square feet

The area of the window is 3 x 4 = 12 square feet

Thus, the total amount of area that won't be painted is

21 + 12 = 33 square feet.

So we are going to take the total area minus the area that won't be painted to know the total area that Faron will pain:

352 - 33 = 319 square feet.

Thus, she will paint 319 square feet

4 0

3 years ago