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3 years ago

14

write an absolute value equation to calculate the distance between the two points (4, -2) and (-9, -2)

1 answer:

meriva3 years ago

7 0

9514 1404 393

Answer:

d = |-9-4| = 13

Step-by-step explanation:

The y-values are the same for the two points, so the distance between them on that horizontal line is the difference of x-values.

d = |(-9) -(4)|

d = |-13| = 13

The distance between the points is 13 units.

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The length of a rectangle is the width minus five units.the area of the rectangle is 36 units.what is the width,in units,of the

Andreas93 [3]

Length × Width = Area

-5*Width = 36

Simply divide 36 by 5 to get your answer

Hope that helps!!!!

8 0

3 years ago

Directions: Find the indicated trigonometric ratio as a fraction in simplest form. 1. Sin L =

Rainbow [258]

Answer:

$\sin L = 0.60$

$tan\ N = 1.33$

$\cos L = 0.80$

$\sin N = 0.80$

Step-by-step explanation:

Given

See attachment

From the attachment, we have:

$MN = 6$

$LN = 10$

First, we need to calculate length LM,

Using Pythagoras theorem:

$LN^2 = MN^2 + LM^2$

$10^2 = 6^2 + LM^2$

$100 = 36 + LM^2$

Collect Like Terms

$LM^2 = 100 - 36$

$LM^2 = 64$

$LM = 8$

Solving (a): $\sin L$

$\sin L = \frac{Opposite}{Hypotenuse}$

$\sin L = \frac{MN}{LN}$

Substitute values for MN and LN

$\sin L = \frac{6}{10}$

$\sin L = 0.60$

Solving (b): $tan\ N$

$tan\ N = \frac{Opposite}{Adjacent}$

$tan\ N = \frac{LM}{MN}$

Substitute values for LM and MN

$tan\ N = \frac{8}{6}$

$tan\ N = 1.33$

Solving (c): $\cos L$

$\cos L = \frac{Adjacent}{Hypotenuse}$

$\cos L = \frac{LM}{LN}$

Substitute values for LN and LM

$\cos L = \frac{8}{10}$

$\cos L = 0.80$

Solving (d): $\sin N$

$\sin N = \frac{Opposite}{Hypotenuse}$

$\sin N = \frac{LM}{LN}$

Substitute values for LM and LN

$\sin N = \frac{8}{10}$

$\sin N = 0.80$

7 0

3 years ago

Write 6 ratinol numbers between - 3 and - 4<br><br>

WARRIOR [948]

Answer:

-3.1, -3.2, -3.3, -3.4, -3.5, -3.6

Step-by-step explanation:

7 0

2 years ago

A grocery store bought milk for $2.50 per half gallon and stored it in two refrigerators. During the night, one refrigerator mal

daser333 [38]

In this problem, we let x be the number of half gallons of milk the store bought, and x-12 be the remaining half gallonsWe use the equation profit = revenue-cost
88.08=4.02(x-12)-2.60x88.08=4.02x-48.24-2.6x1.42x=88.08+48.24=136.32x=136.32/1.42=96Hence, the number of half gallons of milk the store bought is 96

4 0

3 years ago

The height of a trapezoid can be expressed as x – 4, while the bases can be expressed as x + 4 and x + 9. if the area of the tra

AlexFokin [52]

Answer: 19 cm

<u>Step-by-step explanation:</u>

$A_{trapezoid}=\frac{b_{1}+b_{2}}{2}*h$

99 = $\frac{(x+4 + x+9}{2}*(x - 4)$

99 = $\frac{(2x + 13}{2}*(x - 4)$

198 = (2x + 13)(x - 4)

198 = 2x² + 5x - 52

0 = 2x² + 5x - 250

0 = 2x²- 20x + 25x - 250

0 = 2x(x - 10) + 25( x - 10)

0 = (2x + 25)(x - 10)

0 = 2x + 25 or 0 = x - 10

$-\frac{25}{2}$ = x or x = 10

Since length cannot be negative, $-\frac{25}{2}$ can be disregarded

Larger base: x + 9 = 10 + 9 = 19

5 0

3 years ago

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