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2 years ago

Round to the nearest tenth, 29.3 is 42% of what number?

1 answer:

6 0

$42\% \ of \ x = 29.3 \\\\ \frac{42}{100}*x= 29.3 \\\\ \frac{21}{50}*x=29.3 \\\\ x=\frac{50*29.3}{21} \\\\ x=\frac{1465}{21} \\\\ \boxed{x=69.76 \to \boxed{\boxed{70}}}$

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What is the slope of the line that passes through the points (-3, 5) and (1, 7)?

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Answer: The slope of the line is $\frac{1}{2}$

Step-by-step explanation:

The slope of a line can be calculated with the following formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

Then, given the points $(-3, 5)$ and $(1, 7)$ , you can identify that:

$y_2=5\\y_1=7\\\\x_2=-3\\x_1=1$

Knowing these values you can substitute them into the formula for calculate the slope:

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3 years ago

1 Point The circle below is centered at (-3, 2) and has a radius of 3. What is its equation?

arlik [135]

Answer:

(x + 3)^2 + (y - 2)^2 = 9

Step-by-step explanation:

Equation for a circle: (x – h)^2 + (y – k)^2 = r^2

Step 1: Determine what h, k, and r are

h is the x value of the point: -3

k is the y value of the point: 2

r is the radius of the circle: 3

Step 2: Plug in and solve

(x – h)^2 + (y – k)^2 = r^2

(x – (-3))^2 + (y – (2))^2 = (3)^2

(x + 3)^2 + (y - 2)^2 = 9

Answer: (x + 3)^2 + (y - 2)^2 = 9

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3 years ago