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lara [203]
3 years ago
6

What is the x-value of the solution of the system of

Mathematics
1 answer:
Nady [450]3 years ago
8 0

Answer:

x = -1, y = -4

Step-by-step explanation:

Let's solve our system of equations by substitution.

y = 5x + 9y = −x + 3

Step: Solve = 5x + 9 for y:

y = 5x + 9

Step: Substitute 5x + 9 for y in y = −x + 3:

y = −x + 3

5x + 9 = −x + 3

5x + 9 + x = −x + 3 + x (Add x to both sides)

6x + 9 = 3

6x + 9 + −9 = 3 + −9 (Add -9 to both sides)

6x = −6

6x/ 6 = −6/6(Divide both sides by 6)

x = −1

Step: Substitute −1 for x in y = 5x + 9:

y = 5x + 9

y = (5)(−1) + 9

y = 4(Simplify both sides of the equation)

So our answers are y = -4 and x = -1.

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The sun shines at a 30° angle to the ground. To the nearest inch, how long is the shadow cast by a 72-in. tall fence post?
tensa zangetsu [6.8K]

The length of the shadow is 124.7 in

<u>Explanation:</u>

<u />

Given:

Angle, θ = 30°

Height of the fence,  h = 72 in

Length of the shadow, l = ?

Given:

tan 30° = \frac{perpendicular}{base}  = \frac{height of the fence}{length of the shadow}

\frac{1}{\sqrt{3} } = \frac{72}{l} \\\\l = 72\sqrt{3} \\\\l = 124.7 in

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3 years ago
Question 3<br> Find the equation of the line joining (-2,4) and (3,7)
otez555 [7]

Answer:

y = (3/5)x+26/5 or 5y = 3x+26

Step-by-step explanation:

Applying,

The equation of a line in two point form

(y₂-y₁)/(x₂-x₁) = (y-y₁)/(x-x₁)............... Equation 1

From the question,

Given: y₂ = 7, y₁ = 4, x₂ = 3, x₁ = -2

Substitute these values into equation 1

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3/5 = (y-4)/(x+2)

5(y-4) = 3(x+2)

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5y = 3x+6+20

5y = 3x+26

y = (3/5)x+26/5

Hence the equation of the line is y = (3/5)x+26/5 or 5y = 3x+26

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Answer:

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Step-by-step explanation:

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