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3 years ago

Solve each equation 5(1-n)=75

Mathematics

1 answer:

Ipatiy [6.2K]3 years ago

5 0

Divide both sides by 5.
1-n=15 move the constant to the right
-n=15-1 subtract the numbers
-n=14 change the signs
N=-14

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30 POINTS AVAILABLE

kherson [118]

Answer:

$\large\boxed{(x-2)^2+(y-1)^2=34}$

Step-by-step explanation:

The equation of a circle in standard form:

$(x-h)^2+(y-k)^2=r^2$

(h, k) - center

r - radius

We have the endpoints of the diameter: (-1, 6) and (5, -4).

Midpoint of diameter is a center of a circle.

The formula of a midpoint:

$\left(\dfrac{x_1+x_2}{2};\ \dfrac{y_1+y_2}{2}\right)$

Substitute:

$h=\dfrac{-1+5}{2}=\dfrac{4}{2}=2\\\\k=\dfrac{6+(-4)}{2}=\dfrac{2}{2}=1$

The center is in (2, 1).

The radius length is equal to the distance between the center of the circle and the endpoint of the diameter.

The formula of a distance between two points:

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

Substitute the coordinates of the points (2, 1) and (5, -4):

$r=\sqrt{(5-2)^2+(-4-1)^2}=\sqrt{3^2+(-5)^2}=\sqrt{9+25}=\sqrt{34}$

Finally we have:

$(x-2)^2+(y-1)^2=(\sqrt{34})^2$

3 0

3 years ago

Camilla has three times as many points as Lynn. Lynn has five

REY [17]

Step-by-step explanation:

l x 3 = c

k + 5 = l

(c + l + k) x 2 = 25

c = 33

l = 11

k = 6

5 0

3 years ago

What is the slope between the points 5,-1 and -2,-3?

pishuonlain [190]

To find slope, use the equation (y2-y1)/(x2-x1). In your case, the equation is going to look like (-3 - -1)/(5 - -2) or (-3 +1)/(5 + 2), and that simplifies to -2/7.

8 0

3 years ago

-11-(-10) what is the value

sertanlavr [38]

The answer is -1 , because when you add a negative number to a positive number the negative number will subtract , and vise versa.

7 0

2 years ago

How many numbers are there between 1 and 1000 that dont include the digit 9

labwork [276]

999 I think... let me know if that is correct:)

8 0

3 years ago