Someone please help

Mathematics

1 answer:

mezya [45]3 years ago

5 0

Answer:

Step-by-step explanation:fssSVfg

Jessica’s friend tried to find the side length of a square garden, but made a mistake:

24 x + StartFraction 12 over 13 EndFraction = 4 (6 x + StartFraction 12 over 13 EndFraction) = Side length = 6 x + StartFraction 12 over 13 EndFraction

Can you identify and correct her error?

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The line perpendicular to y= (-3/2)x -4 and goes through (1,4)

Paladinen [302]

Answer (assuming it is allowed to be in point-slope format):

$y-4 = \frac{2}{3}(x-1)$

Step-by-step explanation:

1) First, determine the slope. We know it has to be perpendicular to the given equation, $y = -\frac{3}{2} x-4$ . That equation is already in slope-intercept form, or y = mx + b format, in which m represents the slope. Since $-\frac{3}{2}$ is in place of the m in the equation, that must be the slope of the given line.

Slopes that are perpendicular are opposite reciprocals of each other (they have different signs, and the denominators and numerators switch places). Thus, the slope of the new line must be $\frac{2}{3}$ .

2) Now, use the point-slope formula, $y-y_1 = m (x-x_1)$ to write the new equation with the given information. Substitute $m$ , $x_1$ , and $y_1$ for real values.

The $m$ represents the slope, so substitute $\frac{2}{3}$ in its place. The $x_1$ and $y_1$ represent the x and y values of a point the line intersects. Since the point crosses (1,4), substitute 1 for $x_1$ and 4 for $y_1$ . This gives the following equation and answer:

$y-4 = \frac{2}{3}(x-1)$

3 0

3 years ago

A rectangular prism has the volume of 528 cubic

Olin [163]

Answer:

D. 6 feet

Step-by-step explanation:

The volume of a rectangular prism can be found by using L * W * H, or B * H

-> The length (L) times the width (W) is equal to the base (B)

V = B * H

528 = 88H