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3 years ago

Find a point-slope form for the line with slope 1/5 and passing through the point (-7,-4).

Mathematics

1 answer:

Basile [38]3 years ago

6 0

Answer:

y + 4 = ⅕(x + 7)

Step-by-step explanation:

The "point-slope" form of the equation of a straight line is:

y − y₁ = m(x − x₁)

where m is the slope and (x₁, y₁) is a point on the line.

If m = ⅕ and (x₁, y₁) = (-7, - 4), the point-slope equation is

y + 4 = ⅕(x + 7)

The Figure below shows the graph of your line and a point at (-7, -4).

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3 years ago

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Flura [38]

Answer:

$\large\boxed{r=2\sqrt2}$

Step-by-step explanation:

The radius (r) length is equal to the distance between the center of the circle and the point on the circle.

The formula of a distance:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Substitute the coordinates of the given points (5, 4) and (3, 2):

$r=\sqrt{(3-5)^2+(2-4)^2}\\\\r=\sqrt{(-2)^2+(-2)^2}\\\\r=\sqrt{4+4}\\\\r=\sqrt{(4)(2)}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\r=\sqrt4\cdot\sqrt2\\\\\boxed{r=2\sqrt2}$

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3 years ago

Which property justifies this statement?<br> If I = -2, then 5.c = -10.

Lady_Fox [76]

Answer: Conditional statement

Step-by-step explanation:

Hypotheses followed by a conclusion is called an If-then statement or a conditional statement. This is noted as. p→q. This is read - if p then q. A conditional statement is false if hypothesis is true and the conclusion is false.

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3 years ago

Carolyn sees 442 people lined up at the theater to see a movie. The movie theater has 7 rows of seats. How many people sit in ea

Serhud [2]

Answer:

Step-by-step explanation:

First you need to write it down. Now, 1st step of the math, how many times will 7 go into 4? 0 times. So you have to do how many times 7 goes to 44. It goes in 6 times bc 7 times 7 is 49. Now, subtract 42 form 44 which is 2. Bring down the 2, you get 22. 7 goes into 22 3 times, subtract 21 from 22. One. So your answer is 63 remainder one!

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2 years ago

Please help with this

12345 [234]

1. 5
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3 years ago