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2 years ago

What is the solution to the system of equations below?

Mathematics

2 answers:

Kipish [7]2 years ago

7 0

Answer:

(18,0)

Step-by-step explanation:

Karolina [17]2 years ago

3 0

Answer:

The solution is the point (18,0)

Step-by-step explanation:

we have

$y=-\frac{1}{3}x+6$ -----> equation A

$y=\frac{1}{3}x-6$ -----> equation B

Solve the system by substitution

substitute equation B in equation A

$\frac{1}{3}x-6=-\frac{1}{3}x+6$

solve for x

Adds (1/3)x both sides

$\frac{1}{3}x-6+\frac{1}{3}x=6$

$\frac{2}{3}x-6=6$

Adds 6 both sides

$\frac{2}{3}x=6+6$

$\frac{2}{3}x=12$

$x=12(3)/2\\x=18$

Find the value of y

substitute the value of x in equation A or equation B

$y=-\frac{1}{3}(18)+6=0$

therefore

The solution is the point (18,0)

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3 years ago

Choose the correct description of the graph of the compound inequality x − 3 < −9 or x + 5 greater than or equal to 10.

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The linear function f i with values f(-1) = 10 and f(5) = -1 is f(x)

zhenek [66]

Answer:

Use the two points to compute the slope, m, then use one of the points in the form y=m(x)+b to find the value of b.

Explanation:

The equation for the slope, m, of a line is:

m=y1−y0x1−x0 [1]

The equation f(2)=−1 tells us that x0=2andy0=−1; substitute this into equation [1]:

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Substitute 2 for x and -1 for y and the solve for b:

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Substitute −133 for b in equation [4]:

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2 years ago

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GarryVolchara [31]

Answer:

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Given:

area = 18 cm²
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Substitute the given values into the equation and solve for h:

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$\sf \implies 18 = \sf \dfrac62 (h+1)$

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$\sf \implies 18=3h+3$

subtract 3 from both sides:

$\sf \implies 3h=15$

divide both sides by 3:

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To verify:

Half of the base is 3 cm.

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