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3 years ago

Next time, the rabbit from the previous problem started at 10. Where on the number line can he be after the same three jumps?

Mathematics

1 answer:

notka56 [123]3 years ago

7 0

Answer:

Step-by-step explanation:

If the rabbit started at 10 you would add 3 to 10 and get 13.

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Solve for x. Round your answer to the nearest tenth

bonufazy [111]

X is 6.11431

so 6.1 rounded to nearest tenth

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3 years ago

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Write the slope-intercept form of the equation that passes through the given points. (separate equations for each of them)

guajiro [1.7K]

Answer:

Part 1) $y=-\frac{1}{5}x-1$

Part 2) $y=3x-16$

Part 3) $y=4$

Step-by-step explanation:

we know that

The equation of the line into slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-intercept

Part 1) we have

(10,-3) (5,-2)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{-2+3}{5-10}$

$m=\frac{1}{-5}$

$m=-\frac{1}{5}$

Find the value of b

we have

$m=-\frac{1}{5}$

$point (10,-3)$

substitute in the equation $y=mx+b$ and solve for b

$-3=-\frac{1}{5}(10)+b$

$-3=-2+b$

$b=-3+2=-1$

substitute

$y=-\frac{1}{5}x-1$

Part 2) we have

(6,2) (7,5)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{5-2}{7-6}$

$m=\frac{3}{1}$

$m=3$

Find the value of b

we have

$m=3$

$point (6,2)$

substitute in the equation $y=mx+b$ and solve for b

$2=3(6)+b$

$2=18+b$

$b=2-18=-16$

substitute

$y=3x-16$

Part 3) we have

(4,4) (-7,4)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{4-4}{-7-4}$

$m=\frac{0}{-11}$

$m=0$

This is a horizontal line (parallel to the x-axis)

The y-intercept b is equal to the y-coordinate

therefore

The equation of the line is

$y=4$

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3 years ago

Determine the value of the ?

goblinko [34]

Answer:

$x^{2} y^{3}$

Step-by-step explanation:

Using the Quotient rule:

$\frac{a^{m}}{a^{n}} = a^{m - n}$

We can subtract the exponents of x and y:

$\frac{x^{6} y^{10}}{x^{4} y^{7}} = x^{(6 - 4)} y^{(10 - 7)}$

Therefore, $\frac{x^{6} y^{10}}{x^{4} y^{7}} = x^{2} y^{3}$

Please mark my answers as the Brainliest if you find this explanation helpful :)

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2 years ago

On Monday, 187 students went on a feldtrip to the zoo.All 4 busses were filled and 7 dtudents in a van.How many student were in

RoseWind [281]

Step-by-step explanation:

7 students were in the van so 187 - 7 = 180. 180 ÷ 4 = 45, there were 45 students on each bus. Not sure if this makes total sense, hope it helps

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A Number decreased by the square of 9

grin007 [14]

X decreased by the square of nine
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