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3 years ago

What is the solution to the system of equations below? y = negative one-third x + 6 and x = –6

Mathematics

1 answer:

PSYCHO15rus [73]3 years ago

4 0

Answer:2

26x + y = 23 → y = 23 – 6x.

7x + y = 25 → 7x + (23 – 6x) = 25 → x + 23 = 25 → x = 2

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Find the measure or angle xyz

blagie [28]

Answer:

The answer to your question is: 85°

Step-by-step explanation:

Data

m∠ xyz = 2m∠x - 9

m∠w = 38°

Process

∠x = (∠xyz + 9) / 2

∠ y = 180 - ∠xyz

∠w + ∠y + ∠x = 180

Substitution 38 + (180 - ∠xyz) + (∠xyz + 9) / 2 = 180

76 + 360 - 2∠xyz + ∠xyz + 9 = 360

Simplify

85 - 2∠xyz + ∠xyz = 0

85 = ∠ xyz

5 0

2 years ago

Determine how many times larger is 6 x 10^4 than 6 x 10^2

goldfiish [28.3K]

Answer:

100

Step-by-step explanation:

6 . 10^4 = 6 . 10000 = 60000

6 . 10^2 = 6 . 100 = 600

60000 ÷ 600 = 100

8 0

2 years ago

Layana’s house is located at (2 and two-thirds, 7 and one-third) on a map. The store where she works is located at (–1 and one-t

NeTakaya

We have been given that Layana’s house is located at $(2\frac{2}{3}, 7\frac{1}{3})$ on a map. The store where she works is located at $(-1\frac{1}{3}, 7\frac{1}{3})$ .

We are asked to find the distance from Layana’s home to the store

We will use distance formula to solve our given problem.

Let us convert our given coordinates in improper fractions.

$2\frac{2}{3}\Rightarrow \frac{8}{3}$

$7\frac{1}{3}\Rightarrow \frac{22}{3}$

$-1\frac{1}{3}\Rightarrow -\frac{4}{3}$

Now we will use distance formula to solve our given problem.

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Upon substituting coordinates of our given point in above formula, we will get:

$D=\sqrt{(\frac{22}{3}-\frac{22}{3})^2+(\frac{8}{3}-(-\frac{4}{3}))^2}$

$D=\sqrt{(0)^2+(\frac{8}{3}+\frac{4}{3})^2}$

$D=\sqrt{0+(\frac{8+4}{3})^2}$

$D=\sqrt{(\frac{12}{3})^2}$

$D=\sqrt{(4)^2}$

$D=4$

Therefore, the distance from Layana's home to the store is 4 units and option A is the correct choice.

3 0

2 years ago

Read 2 more answers

Suppose that in a large company, 30% of the computers are infected by adware. if 6 computers are randomly selected and tested, w

bazaltina [42]

It's either 1.8 or 0.9

6 0

3 years ago

Which of the following values of x makes this equation true? (-4x – 3) - (7x - 3) = 22

Katena32 [7]

Answer:

Step-by-step explanation:

Here you go mate

Step 1

(-4x-3)-(7x-3) =22 Equation

Step 2

(-4x-3)-(7x-3) =22 Simplify

-11x=22

Step 3

-11x=22 Divide

Answer

x=-2

5 0

2 years ago