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3 years ago

15

Find the arc length of the curve

%7B1%7D%7B4%7D%20y%20%7B%20-%202%7D" id="TexFormula1" title="x = \frac{1}{8} y {4} + \frac{1}{4} y { - 2}" alt="x = \frac{1}{8} y {4} + \frac{1}{4} y { - 2}" align="absmiddle" class="latex-formula">
from y = 1 to y = 4.

1 answer:

vfiekz [6]3 years ago

8 0

Answer:x=2

Step-by-step explanation:

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Debra's rectangular vegetable garden measures 93 yards by 12 yards.

77julia77 [94]

Answer:

126 cups of fertilizer

Step-by-step explanation:

<u><em>The complete question is</em></u>

Debra's rectangular garden measures 9 1/3 by 12 yards .a bottle of fertilizer cost $14.79 .if Debra needs to mix 1/8 cup of fertilizer with water for each square foot of her garden how many cups of fertilizer does she need?

step 1

Find the area of the rectangular garden

The area of rectangle is equal to

$A=LW$

we have

$L=9\frac{1}{3}\ yd=9+\frac{1}{3}=\frac{9*3+1}{3}=\frac{28}{3}\ yd$

$W=12\ yd$

substitute

$A=(\frac{28}{3})12=112\ yd^2$

step 2

Convert square yards to square feet

Remember that

$1\ yd=3\ ft$

$1\ yd^2=9\ ft^2$

so

$112\ yd^2=112)9)=1,008\ ft^2$

step 3

Find how many cups of fertilizer does she need

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3 years ago

Which of the following equations describes the line shown below? Check all<br> that apply.

scoundrel [369]

Answer:

B. y = 2x - 2

E. $y + 4 = 2(x + 1)$

F. $y - 6 = 2(x - 4)$

Step-by-step explanation:

The equation of the line can be found using either the point-slope equation or the slope-intercept equation.

✔️Equation of the line in point-slope using the slope and the coordinates of the point (4, 6):

Slope = m = change in y/change in x

Using (4, 6) and (-1, -4),

m = (-4 - 6)/(-1 - 4)

m = -10/-5

m = 2

Substitute m = 2, and (a, b) = (4, 6) into the point-slope equation form $y - b = m(x - a)$

Thus:

$y - 6 = 2(x - 4)$

✔️Equation of the line in point-slope using the slope and the coordinates of the point (-1, -4):

Slope = m = 2

Substitute m = 2, and (a, b) = (-1, -4) into the point-slope equation form $y - b = m(x - a)$

Thus:

$y - (-4) = 2(x - (-1))$

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✔️Equation of the line in slope-intercept form, y = mx + b

Where,

m = slope = 2

b = y-intercept = -2 (the point where the line intercepts the y-axis)

Thus, substitute m = 2 and b = -2 into y = mx + b

y = 2x + (-2)

y = 2x - 2

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3 years ago