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3 years ago

What is the solution to the system of equations?

Mathematics

1 answer:

pychu [463]3 years ago

8 0

The system of equations has No solution.

Step-by-step explanation:

step 1 :

The given system of equations are

4x-8y=-16 -------- (1)

x-2y=-8 ----------- (2)

step 2 :

Taking 4 as common from equation (1)

4(x-2y) = 4(-4)

The equation (1) becomes x-2y = -4

Now, equations (1) and (2) have same x and y terms and only constant is different.
Therefore, the system of equations cannot be solved for x and y values. It has no solution.

step 3 :

From equation (2), find the value for x

x-2y = -8

x = 2y-8

step 4 :

Substitute x = 2y-8 in equation (1)

4x-8y = -16

4(2y-8) -8y = -16

8y - 32 -8y = -16

8y-8y = 32-16

It cannot be solve for x and y values.

∴ The system of equations has No solution.

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a ball is dropped from the height of 64 feet. its height can be modeled by the function h(t)=-16t^2+64, where t is the time in s

puteri [66]

Answer:

It takes 1.323 seconds for the ball to fall by 36 feet

Step-by-step explanation:

The height of the ball dropped from a height of 64 ft is modeled by the equation:

h(t) = -16t² + 64 where t is the time in seconds.

To find the time it takes to fall 36 ft, we substitute h(t) too be 36 ft and then solve the resulting quadratic function.

Substituting h(t) to be 36 ft:

36 = -16t² + 64

multiply through by -1

-36 = 16t² - 64

add 36 to both sides

16t² -64 + 36 = -36 + 36

16t² - 28 = 0

add 28 to both sides

16t² - 28 + 28 = 0 +28

16t² = 28

Divide both sides by 28

16t²/16 = 28/16

t² = 1.75

Find squre root of both sides

√t² = √1.75

t = 1.323 seconds

It takes 1.323 seconds for the ball to fall by 36 feet

5 0

3 years ago

Please help me with this question, image attached.

Lorico [155]

Answer:

110 degrees.

Step-by-step explanation:

Angles 2 and 3 are supplementary, and angles 8 and 7 are supplementary.

Angles 3 and 7 are equal.

If angle 8 is equal to 70 degrees, angle 3 is equal to 110.

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4 years ago

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Write in standard form forty-six thousand, three hundred thirty- two

Black_prince [1.1K]

46332 is how it is in the number form???

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3 years ago

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Which of the following represents the factorization of the trinomial below?

RoseWind [281]

$\implies {\blue {\boxed {\boxed {\purple {\sf { \: (x + 6)(x - 8)}}}}}}$

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${x}^{2} - 2x - 48$

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Taking $x$ as common from first two terms and 6 from last two terms, we have

$=x \: ( \: x - 8 \: ) + 6 \: ( \: x - 8 \: )$

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$\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}$

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3 years ago

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Long Division: (3x^4-8x^3-x^2+9x+5) / (x-2) pleaseee answer this

Drupady [299]

3x⁴ = 3x³ • x, and

3x³ (x - 2) = 3x⁴ - 6x³

Subtract this from the numerator to get a remainder of

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-2x³ = -2x² • x, and

-2x² (x - 2) = -2x³ + 4x²

Subtract this from the previous remainder to get a new remainder of

(-2x³ - x² + 9x + 5) - (-2x³ + 4x²) = -5x² + 9x + 5

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Subtract this from the last remainder to get a new one of

(-5x² + 9x + 5) - (-5x² + 10x) = -x + 5

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-1 (x - 2) = -x + 2

This gives a new remainder of

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

3 does not divide x, so we're done.

So, we have

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4 years ago