All categories

2 years ago

Write an equation passing through (-6,5) that is parallel to y=1/2x-7

Mathematics

1 answer:

charle [14.2K]2 years ago

4 0

Answer:

y = 1/2x + 8

Step-by-step explanation:

a parallel equation needs to have the same slope as the given equation (1/2)

what we have so far is

y = 1/2x + b

since we know this has to pass through (-6, 5)

we’ll plug in -6 for x and 5 for y to find b

5 = 1/2(-6) + b

5 = -6/2 + b

5 = -3 + b

8 = b

so web. we plug b back into the equation

the final solution is

y = 1/2x + 8

You might be interested in

Which expression is equivalent to 36^-1/2

inn [45]

ANSWER

$( {36})^{ (- \frac{1}{2}) } = \frac{1}{6}$

EXPLANATION

The given expression is

${36}^{( - \frac{1}{2} )}$
This is having a negative index. We must first of all change to a positive index.

Recall that,

${a}^{ - m} = \frac{1}{ {a}^{m} }$

We apply this law of exponents to get,

${36}^{( - \frac{1}{2} )} = \frac{1}{ {36}^{( \frac{1}{2} )} }$

We cab rewrite the given expression to obtain;

${36}^{( - \frac{1}{2} )} = \frac{1}{ \sqrt{36} }$

This will simplify to give us,

${36}^{( - \frac{1}{2} )} = \frac{1}{ 6 }$

6 0

3 years ago

Read 2 more answers

35 points + brainliest!

jarptica [38.1K]

Answer:

x= -2-√11. or. x= -2 + √11

Step-by-step explanation:

solving quadratic equation by completing the square

x^2+4x-7=0

x^2+4x=7

x^2+4x + (4/2)^2=7 + (4/2)^2 ( adding (1/2 coefficient of x)^2 on both sides

x^2+4x + 4=7 + 4

x^2+4x + 4=11. factorize(x^2+4x + 4) into (x + 2)^2

(x + 2)^2=11

√(x + 2)^2= + - √11

x + 2 = + - √11

there are two different solution .

x + 2 = -√11. or x + 2 = + √11.

x= -2-√11. or. x= -2 + √11.

8 0

3 years ago

I need help with these................

larisa [96]

Answer:

(5,4)

:))))))))))))))))

3 0

3 years ago

Y>1 and y>x on a graph

zlopas [31]

So,

$y>1\wedge y>x$

1. Graph each inequality separately.

2. Choose a test point to determine which side of the line needs to be shaded.

3. The solution to the system will be the area where the shadings from each inequality overlap one another (purple area)

As for the system of inequalities we say it's unbounded.

3 0

3 years ago

18 divided by 3 x 2 +(4 divided by 2 +1)

Maslowich

Answer:

Step-by-step explanation:

18÷3=6

6×2=12

12+4=16

16÷2=8

8+1=9

7 0

2 years ago