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2 years ago

A line contains the points (9, 10) and (3,-2)

Mathematics

2 answers:

Leokris [45]2 years ago

6 0

Answer:

Step-by-step explanation:

(9,10) &(3,-2)

$Slope = \dfrac{y_{2}-y_{1}}{x_{2}_x_{1}}\\\\=\dfrac{-2-10}{3-9}\\\\=\dfrac{-12}{-6}\\\\\\=2$

irinina [24]2 years ago

4 0

Answer:

slope of the line = 2

Step-by-step explanation:

slope of the line= change in y/ change in X

slope of the line= 10- (-2)/9-3

slope of the line = 12/6

slope of the line= 2

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Express the following rate as a unit rate. If necessary, round your answer to the nearest tenth. 63 quarts for 56 seconds

gavmur [86]

Answer:

1.1 qt/s

Step-by-step explanation:

To find quarts per second, divide quarts by seconds:

(63 qt)/(56 s) = 9/8 qt/s ≈ 1.1 qt/s

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2 years ago

Use rounding to estimate the product.8 × 9.82

aleksley [76]

Answer:

8 * 9.82 ≈ 8 * 10 = 80

Step-by-step explanation:

9.82 ≈ 10

8 * 10 = 80

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2 years ago

The height of a football is given by the function h of t equals negative16 t squared plus 56 t plus 3, where h of t is the heigh

kykrilka [37]

Answer:

27 feet.

Step-by-step explanation:

Graph the quadratic equation, then find the point on the graph which aligns with x=3. Y would equal 27.

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1 year ago

13x=-21-6y and -8x=36+6y

IgorLugansk [536]

Answer:

$x=3\\y=-10$

Step-by-step explanation:

$13x=-21-6y\\-8x=36+6y$

Let's take one of the equations and solve for x. I'll take the first one.

$13x=-21-6y$

Divide by 13.

$x=\frac{-21-6y}{13}$

Now replace x in the second equation.

$-8x=36+6y\\-8(\frac{-21-6y}{13} )=36+6y$

Distribute -8

$\frac{168+48y}{13}=36+6y$

Break down the fraction.

$\frac{168}{13}+\frac{48}{13}y=36+6y$

Subtract $\frac{168}{13}$

$\frac{48}{13}y=36+6y-\frac{168}{13}$

Subtract 6y

$\frac{48}{13}y-6y=36-\frac{168}{13}$

Combine like terms;

$\frac{48-13*6}{13}y=\frac{36*13-168}{13}$

Solve;

$\frac{48-78}{13}y=\frac{468-168}{13}$

Keep solving;

$\frac{-30}{13}y=\frac{300}{13}$

Multiply by the negative reciprocal of the fraction next to y.

$(-\frac{13}{30} )\frac{-30}{13}y=\frac{300}{13}(-\frac{13}{30} )$

On the right side; 13 and 13 become 1. 300/30 = 30/3 = 10

$y=-10$

After having found y, replace it in any of the equations to find x.

$13x=-21-6y\\13x=-21-6(-10)\\13x=-21+60\\13x=39\\x=\frac{39}{13}\\ x=3$

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2 years ago

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Anika [276]

487 and 310 round to 800

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