Ask question

Ask question

All categories

3 years ago

6

If the line passing through the points (a, 1) and (−17, 8) is parallel to the line passing through the points (0, 5) and (a + 2,

1), what is the value of a?

1 answer:

stellarik [79]3 years ago

4 0

Parallel line means the same slope
（8-1）/(-17-a)=(1-5)/(a+2)
so a is 18

You might be interested in

Which shows the following expression using positive exponents?

Hitman42 [59]

Answer:

1. option B is correct i.e., $\frac{-3a^{7}b^3b^1}{15a^{2}}$

2. option D is correct i.e., $\frac{a^3b^4}{ab^2}$ .

3. option B is correct i.e., $\frac{n^{10}}{16m^{6}}$ .

Step-by-step explanation:

1. Since the given equation is:

$\frac{-3a^{-2}b^3}{15a^{-7}b^{-1}}$

As we know that $a^{-x}=\frac{1}{a^x}$

So, the given equation can be represented as:

$\frac{-3a^{7}b^3b^1}{15a^{2}}$

2. Given equation is:

$\frac{a^3b^{-2}}{ab^{-4}}$

As we know that $a^{-x}=\frac{1}{a^x}$

so the given equation can be represented as:

$\frac{a^3b^4}{ab^2}$ .

3. Given equation is:

$(\frac{4mn}{m^{-2}n^6})^{-2}$

by using the properties $a^{-x}=\frac{1}{a^x}$ ,

and $a^x\times a^y=a^{x+y}$

$(\frac{4mn}{m^{-2}n^6})^{-2}$

= $(\frac{4n^1n^{-6}}{m^{-2}m^{-1}})^{-2}$

= $(\frac{4n^{1+(-6)}}{m^{-2+(-1)}})^{-2}$

= $(\frac{4n^{-5}}{m^{-3}})^{-2}$

= $\frac{4^{-2}n^{-5\times (-2)}}{m^{-3\times (-2)}}$

= $\frac{n^{10}}{16m^{6}}$ .

which is option B.

5 0

3 years ago

Read 2 more answers

Find the length of diagonal AV in a three-dimensional figure.

katovenus [111]

Answer:

C. 13

Step-by-step explanation:

Apply pythagorean theorem.

Thus:

Diagonal AV = √(12² + 5²)

AV = √(144 + 25)

AV = √169

AV = 13 cm

6 0

2 years ago

Heres the picture, thank you!

Arte-miy333 [17]

Leg * /2 = hypotenuse
Hypotenuse divided by /2 = leg

12 divided by /2

Rationalize denominator:
12 * /2 divided by by /2 * /2

Simplify denominator:
12 * /2 divided by 2

Simplify:
6 * /2 or 4.24

Both x and y because it’s a 45-45-90 triangle

7 0

3 years ago

Read 2 more answers

What percent of 12 is 7?<br> Please show work :)

SVETLANKA909090 [29]

It’s 3 hope this helps

5 0

3 years ago

Read 2 more answers

(-4)-(-2)-{(-5)-[(-7)+(-3)-(-8)]}

olasank [31]

Answer:

1

Explanation:

I used the calculator.

4 0

3 years ago