Find the equation of the circle that passes through the origin and has its center at (-3,-4).

Answers

Answer 1

Answer: If the center is at (-3, -4) and the origin is on the circle, then the radius
of the circle is the distance between the origin and (-3, -4).

R² = (-3)² + (-4)²
R² = 9 + 16
R² = 25
R = 5

The equation of the circle is [ (x + 3)² + (y + 4)² = 25 ].

Answer 2

Answer: $equation\ of\ the\ circle:(x-a)^2+(y-b)^2=r^2\n\n(a;\ b)\ is\ a\ cener\ of\ the\ circle\n\n(a;\ b)=(-3;-4)\n\nr-radius\ of\ the\ circle\n\nr=√((-3)^2+(-4)^2)=√(9+16)=√(25)=5\n\nAnswer:(x+3)^2+(y+4)^2=5^2\to(x+3)^2+(y+4)^2=25$

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He function f(x) = x2 + 10x – 3 written in vertex form is f(x) = (x + 5)2 – 28. What are the coordinates of the vertex?A.(–5, –28) B.(–5, 28) C.(5, –28) D.(5, 28)
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The minute hand of a clock is 9.5cm long. How far will the hand travel in one day, to the nearest meter

Answers

136.8 meter, or 137 meters

Work:

60 minutes x 24 hours =
1,440 minutes in a day

1,440 minutes x 9.5 cm =
13,680 centimeters

13,680 cm = 136.8 meters // 137

If a store uses a selling price-based markup of 40% and an item costs the store $300, what selling price would the store set for the item?

Answers

The store sells a product for 40% more than the what they buy it for.
40% is 0.40 in decimal because all percents are out of 100 (divide by 100)
300×(1+0.40)=$420

Carla has already written 10 pages of a novel. she plans to write 15 additional pages per month until she is finished. write and solve a linear equation to find the total number of pages written at 5 months

Answers

Carla will have written 85 pages in 5 months.

What is linear equation?

A linear equation is an algebraic equation of the form y=mx b. which contains only a constant and first-order (linear) term, where m is the slope and b is the y-intercept. Sometimes the above is called a "linear equation in two variables" where y and x are the variables.

A linear equation in one variable is an equation that says that two linear expressions are equal (or one is equal to a constant). Or to look at it another way, one way to solve this equation is to graph the related equation y = 2x and find where that line intersects the line y = 10. Given:

15 pages written for every month for 5 months plus the 10 pages she has already written is equal to the total number of pages written in 5 months.

x= number months written. In this case, it is 5 months.

y= number of pages written in 5 months

The linear equation y = 15x + 10

y = 15(5)+10

y= 75+10

y = 85

Carla will have written 85 pages in 5 months.

To learn more about linear equation, refer;

brainly.com/question/13738061

#SPJ2

Linear Equation: 15m+10=w
15 pages written for every month for 5 months plus the 10 pages she has already written is equal to the total number of pages written in 5 months.
m= number months written. In this case, it is 5 months.
w= number of pages written in 5 months
15(5)+10=w
75+10=w
85 pages written=w
Carla will have written 85 pages in 5 months.

Solve x^2 + 5x - 6 = 0

Answers

Let's solve your equation step-by-step. x2+5x−6=0

Step 1: Factor left side of equation. (x−1)(x+6)=0

Step 2: Set factors equal to 0. x−1=0‌‌ or ‌‌x+6=0

x=1‌‌ or ‌‌x=−6

A private school opened in 2005 with an initial enrollment of 85 students. The enrollment has increased by an average of 18 students each year since the school opened. A nearby public school had an enrollment of 95 in 2005, and its enrollment has increased by an average of 15 students per year. Interpret the point of intersection in the context of the problem.

Answers

1. Let t = time in years, with t = 0 representing the year 2005. Let f(t) = the number of students enrolled at the private school and g(t) = the number of students enrolled at the public school. Create the two functions to represent the situation.

f(t) = 85 + 18t ⇒ y = 85 + 18x
g(t) = 95 + 15t ⇒ y = 95 + 15x

y = y
85 + 18x = 95 + 15x
18x - 15x = 95 - 85
3x = 10
x = 10/3
x = 3 1/3

y = 85 +18(10/3) = 85 + 180/3 = 85 + 60 = 145
y = 95 + 15(10/3) = 95 + 150/3 = 95 + 50 = 145

x = 10/3 or 3 1/3
y = 145

PLEASE HELP i really need the answer asap

Answers

Answer:

its 16

Step-by-step explanation:

8 /x = 10/20

20 * 8 =160

10 * x =10x

10x = 160

x=16

The answer is
X is 16

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