What is the y intercept of a line that has a slope of -3 and passes through point 0.-7?

Mathematics

1 answer:

sesenic [268]2 years ago

3 0

Answer:

-7

Step-by-step explanation:

(x,y) --> (0,-7) -7 is the y-intercept

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Chords WP and KZ intersect at point L in the circle shown

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Check the picture below.

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Jessie sorted the coins in her bank. She made 7 stacks of 6 dimes and 8 stacks of 5 nickels. She then found 1 dime and 1 nickel.

ANEK [815]

Hello!

So, Jessie made 7 stacks of dimes and 8 stacks of nickels.

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Each stack of nickels has 5 nickels. Multiply:

6 × 7 = 42

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Then she finds another dime and another nickel.

42 + 1 = 43

40 + 1 = 41

43 + 41 = 84

ANSWER:

Jessie has 43 dimes, 41 nickels, and 84 coins in all.

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3 years ago

The polygon circumscribes a circle. What is the perimeter of the polygon?

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68 cm

Step-by-step explanation:

Using the concept of tangents drawn from external point to a circle are congruent, we can find the Perimeter of polygon.

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3 years ago

Find the equation of the circle that has a diameter with endpoints located at (7, 3) and (7, –5).

posledela

So hmm check the picture below, that's about the circle and the endpoints, but notice, the endpoints make up a segment, namely the diameter of the circle, well.... let's see how long that is, because, the radius is half the diameter

$\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ 7}}\quad ,&{{ 3}})\quad 
% (c,d)
&({{ 7}}\quad ,&{{ -5}})
\end{array}\qquad 
% distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}
\\\\\\
d=\sqrt{(7-7)^2+(-5-3)^2}\implies d=\sqrt{0+(-8)^2}\implies d=8
\\\\\\
\textit{the radius is half that, so is }\boxed{r=4}$

now.. hmmm notice, the midpoint of the diameter, is the center of the circle, let's check that one out

$\bf \textit{middle point of 2 points }\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ 7}}\quad ,&{{ 3}})\quad 
% (c,d)
&({{ 7}}\quad ,&{{ -5}})
\end{array}\qquad 
\left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right)
\\\\\\
\left(\cfrac{{{ 7+7}}}{2}\quad ,\quad \cfrac{{{ -5}} + {{ 3}}}{2} \right)\implies \left( \cfrac{14}{2}\ ,\ \cfrac{-2}{2} \right)\implies \boxed{(7,-1)}$

now.. that we know what the center is, and what the radius is, well

$\bf \textit{equation of a circle}\\\\ 
(x-{{ h}})^2+(y-{{ k}})^2={{ r}}^2
\qquad 
\begin{array}{lllll}
center\ (&{{ h}},&{{ k\quad }})\qquad 
radius=&{{ r}}\\
&7&-1&4
\end{array}$

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3 years ago

Which value is the same as 2 tenths

Alenkinab [10]

2 tenths can also be written as 0.2. Now let's look at each answer.

2 hundredths is 0.02
200 hundredths is 2.00
20 hundredths is 0.20

Aha! That is the same as two tenths. So the answer is the third option, 20 hundredths.

4 0

3 years ago

What is the y intercept of a line that has a slope of -3 and passes through point 0.-7?​

What is the y intercept of a line that has a slope of -3 and passes through point 0.-7?