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3 years ago

What is the slope of the line that passes through the points (-4, -2) and (-4, -22)? Write your answer in simplest form.

Mathematics

1 answer:

aliina [53]3 years ago

3 0

Answer:

Your answer is: Undefined

Use the slope formula to find the slope m .

Step-by-step explanation:

Hope this helped : )

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A bathtub is the shape of a rectangular prism. The dimensions are 5 1/2 ft times 2 1/2 ft times 2 3/4 ft. What is the volume of

Sav [38]

Answer:

$37 \frac{13}{16} ft^3$

Step-by-step explanation:

A rectangular prism is also know as a cuboid.

The dimensions of the rectangular prism shaped bath tub are 5½ ft * 2½ ft * 2¾ ft.

The volume of a cuboid (rectangular prism) is given as:

V = L * B * H

Hence, the volume of the bath tub is:

V = 5½ * 2½ * 2¾

V = 11/2 * 5/2 * 11/4

V = 605 / 16 = $37 \frac{13}{16} ft^3$

The volume of the bath tub is $37 \frac{13}{16} ft^3$

5 0

3 years ago

Matthew is half as old as Alan. If the sum of their ages is 54, find their ages.

kompoz [17]

Answer:

Step-by-step explanation:

5 0

2 years ago

What is the quotient in simplified form? State any restrictions on the variable? \frac{x^2-16}{x^2+5x+6} /\frac{x^2+5x+4}{x^2-2x

lora16 [44]

$\frac{x^2-16}{x^2+5x+6} / \frac{x^2+5x+4}{x^2-2x-8}$

We can begin by rearranging this into multiplication:

$\frac{x^2-16}{x^2+5x+6} * \frac{x^2-2x-8}{x^2+5x+4}$

Now we can factor the numerators and denominators:

$\frac{(x+4)(x-4)}{(x+3)(x+2)} * \frac{(x-4)(x+2)}{(x+4)(x+1)}$

The factors (x+4) and (x+2) cancel out, leaving us with:

$\frac{(x-4)}{(x+3)} * \frac{(x-4)}{(x+1)}$

Our answer comes out to be:

$\frac{(x-4)^{2} }{(x+3)(x+1)}$ or $\frac{ x^{2} -8x+16}{ x^{2}+4x+3 }$

Based on the numerator of the second fraction (since we used its inverse), the denominators of both, and the factors we canceled out earlier, the restrictions are x ≠ -4, -3, -2, -1, 4

4 0

3 years ago

I need help with these two trigonometry problems.

Sloan [31]

Answer:

$B \approx 32.1\°; A \approx 39.0\°$

Step-by-step explanation:

Sine theorem: in any triangle, the ratio between a side and the sine of the opposite angle is constant

$\frac{sin\ \alpha}a = \frac{sin\ \beta}b =\frac{sin\ \gamma}c$

In our case, for the left triangle,

$\frac {sin\ 103\°}{11} =\frac{sin\ B} 6 \rightarrow sin\ B = \frac6{11} sin\ 103\°$

Time to grab a calculator and crunch numbers. Double check your calculator is in degrees and not in radians (plug in sin 30°, if you're getting 0.5 you're good) and you will get

$sin\ B \approx 0.53 \rightarrow B \approx 32.1\°$

Same difference with the right triangle. With the same calculations

$sin\ A = \frac{26}{41} sin 83\° \approx 0.68 \rightarrow A \approx 39.0\°$

5 0

2 years ago

What is 8z - 22 = 3(3z + 11) - z

Masja [62]

8z-22=3(3z+11)-z
9z-22=9z+33
-22=33
or
0=55
either way no solution

6 0

3 years ago