4 years ago

Find an ordered pair that satisfies the equation 4x+y=-34 by letting x=-9

Mathematics

1 answer:

Delicious77 [7]4 years ago

6 0

Answer:

(- 9, 2)

Step-by-step explanation:

Substitute x = - 9 into the equation and solve for x

4(- 9) + y = - 34

- 36 + y = - 34 ( add 36 to both sides )

y = 2

Thus (- 9, 2) satisfies the equation

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3 years ago

What is the length of ST if RS=7?

nika2105 [10]

We can use tangent to calculate the length of ST.

$\sf tangent=\dfrac{opposite}{adjacent}$

Here, the opposite side of the 60 degree angle is ST, and the adjacent is RS. Plug in what we know, we can use 'x' for side ST:

$\sf tan(60\textdegree )=\dfrac{x}{7}$

Solve for 'x', multiply 7 to both sides of the equation:

$\sf x=7tan(60\textdegree )$

This is an exact answer for the length of ST, we can find an approximate with a calculator:

$\sf x\approx 12.12$