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3 years ago

13

What is the slope of this line?

1 answer:

Veseljchak [2.6K]3 years ago

4 0

Answer:

Slope = 2

Step-by-step explanation:

(x₁ , y₁) = ( 1 , 1) & (x₂,y₂) = (-1,-3)

$Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{-3-1}{-1-1}\\\\=\dfrac{-4}{-2}\\\\=2$

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Solve for x ~<br><img src="https://tex.z-dn.net/?f=4x%20-%2016%20%3D%2064" id="TexFormula1" title="4x - 16 = 64" alt="4x - 16 =

Naddika [18.5K]

$\qquad\qquad\huge\underline{{\sf Answer}}♨$

Let's solve for x ~

$\qquad \sf \dashrightarrow \:4x - 16 = 64$

$\qquad \sf \dashrightarrow \:4(x - 4) = 64$

$\qquad \sf \dashrightarrow \:(x - 4) = 64 \div 4$

$\qquad \sf \dashrightarrow \:x - 4 = 16$

$\qquad \sf \dashrightarrow \:x = 16 + 4$

$\qquad \sf \dashrightarrow \:x =20$

6 0

3 years ago

Read 2 more answers

Lisa is cutting a 14-inch piece of paper into 0.4-inch strips. How many strips of paper will she have when she is finished?

QveST [7]

35 pieces since 14/.4 is 35.

5 0

3 years ago

Read 2 more answers

1. What is the value of the y variable in the solution to the following system of equations?

ollegr [7]

Part 1)

we have

$3x-6y=3$ ------> equation A

$7x-5y=-11$ ------> equation B

Multiply by $-7$ the equation A

$-7(3x-6y)=-7*3$

$-21x+42y=-21$ ------> equation C

Multiply by $3$ the equation B

$3*(7x-5y)=-11*3$

$21x-15y=-33$ -------> equation D

Adds equation C and equation D

$-21x+42y=-21 \\21x-15y=-33\\---------- \\ 42y-15y=-21-33\\27y=-54 \\ y=-2$

therefore

<u>the answer Part 1) is the option A </u>

$y=-2$

Part 2)

we have

$3x+y=6$

$y=-3x+6$ ------> equation A

$6x+2y=8$

Simplify Divide by $2$ both sides

$3x+y=4$

$y=-3x+4$ ------> equation B

the lines A and B are parallel lines, because the slope m is equal

so

The system has no solution

therefore

<u>the answer Part 2) is the option D</u>

There is no x value as there is no solution to the system.

Part 3)

we have

$4x+2y=6$ ------> equation A

$x-y=3$

$y=x-3$ ------> equation B

substitute equation B in equation A

$4x+2[x-3]=6$

$6x-6=6$

$6x=12$

$x=2$

therefore

<u>the answer part 3) is the option D</u>

$x=2$

Part 4)

Let

x---------> The number of one-step equations

y---------> The number of two-step equations

we know that

$x+y=1,120$

$x=1,120-y$ -------> equation A

$3x-2y=1,300$ ------> equation B

substitute equation A in equation B

$3[1,120-y]-2y=1,300$

$3,360-5y=1,300$

$5y=3,360-1,300$

$5y=2,060$

$y=412$

therefore

<u>the answer part 4) is the option D</u>

$y=412$

8 0

3 years ago

Read 2 more answers

Multiple Choice Question:<br><br>x2+2x-48=0 is a(n)<br><br>A.) Equation<br>B.) Expression<br>

Nimfa-mama [501]

Answer:

This is an equation.

Step-by-step explanation:

An expression would mean that there is no equal sign, but since there is, that makes it an equation.

5 0

3 years ago

Brianna has 6 bags of soil. Filling one flowerpot requires

Inessa [10]

Answer:

18

Step-by-step explanation:

6*3=18

8 0

3 years ago