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3 years ago

There is a line that includes the point (5, -7) and has a slope of -1. What is its equation in slope-intercept form?

Mathematics

1 answer:

lions [1.4K]3 years ago

5 0

Y + 7 = -1(x - 5)

y + 7 = -x + 5

y = -x - 2

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An oblique cylinder has a radius of 10 meters and a volume of 2,500 cubic meters. Use Cavalieri’s Principle to solve for the hei

shusha [124]

The idea of the Cavalieri's Principle states that even if the cylinder is oblique, so long as the planes in the figure are parallel, the equation would still be equal to,
V = Bh = πr²h
Substituting,
2,500 = π(10 m)²h
h = 7.95 m
The answer should be 5 meters.

4 0

3 years ago

PLEASE HELP/ANSWER! From 1980 to 1990, Lior’s weight increased by 25%. If his weight was k kilograms in 1990, what was it in 198

Elena-2011 [213]

The weight in 1980 is $\frac{4k}{5}$ kilograms

Solution:

From 1980 to 1990, Lior’s weight increased by 25%

His weight is "k" kilograms in 1990

To find: weight in 1980

This is a percentage increase problem

Let "x" be the weight in kilograms in 1980

The percentage increase is given by formula:

$\text{Percentage increase } = \frac{\text{Final value - initial value}}{\text{initial value}} \times 100$

Here,

Initial value in 1980 = x

Final value in 1990 = k

Percentage increase = 25 %

Substituting the values in formula,

$25 = \frac{k-x}{x} \times 100\\\\25x = 100(k-x)\\\\x = 4(k-x)\\\\x = 4k - 4x\\\\5x = 4k\\\\x = \frac{4k}{5}$

Thus the weight in kilograms in 1980 is $\frac{4k}{5}$

7 0

3 years ago

Help me please and thank you

Scorpion4ik [409]

Answer:

x = 20

y = 10

m∡8 = 110°

Step-by-step explanation:

m∡1 + m∡2 = 180

5x + y + 3x + y = 180

8x + 2y = 180

m∡1 = m∡8 (they are alternate-exterior angles and are congruent)

5x + y = 3x + 5y

2x = 4y

x = 2y

Substitute '2y' for 'x' in 8x + 2y = 180

8(2y) + 2y = 180

18y = 180

y = 10

x = 2(10)

x = 20

m∡8 = 3(20) + 5(10) = 110°

8 0

3 years ago

What is the slope of the line? I need this for my unit test urgently please help!!!!

victus00 [196]

Answer:

I guess the slope of line is -1

4 0

3 years ago

Read 2 more answers

Mount McKinley, the highest mountain in North

riadik2000 [5.3K]

Since the deepest point of Death Valley is below sea level, its altitude is negative. So, the difference between the altitudes is

$20320-(-280)$

Subtracting a negative means to add, so we have

$20320-(-280)=20320+280=20600$

4 0

3 years ago