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2 years ago

NEED HELP! Which equation represents a circle with a center at (-5,5) and a radius of 3 units?

Mathematics

2 answers:

Alja [10]2 years ago

7 0

Equation of the circle is (x + 5)² + (y - 5)² = 9

Step-by-step explanation:

Step 1: Given center is (h, k) = (-5, 5) and radius is 3. Equation of a circle is given by (x - h)² + (y - k)² = r²

Equation is (x - -5)² + (y - 5)² = 3²

⇒ (x + 5)² + (y - 5)² = 9

creativ13 [48]2 years ago

6 0

Answer:

(x + 5)² + (y - 5)² = 9

Step-by-step explanation:

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Pls!!!!!!!!!!!!!!!!!!!!

lesya692 [45]

Answer:

Step-by-step explanation:

The table shows a linear function.

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (1, 3) and (x₂, y₂ ) = (2, 7) ← 2 ordered pairs from the table

m = $\frac{7-3}{2-1}$ = 4, thus

y = 4x + c ← is the partial equation

To find c substitute any ordered pair into the partial equation

Using (1, 3), then

3 = 4 + c ⇒ c = 3 - 4 = - 1

y = 4x - 1 → C

3 0

2 years ago

Given the following three points, find by the hand the quadratic function they represent (0,6, (2,16, (3,33)

Lisa [10]

Answer:

$f(x) = 4x^2 - 3x + 6$

Step-by-step explanation:

Quadratic function is given as $f(x) = ax^2 + bx + c$

Let's find a, b and c:

Substituting (0, 6):

$6 = a(0)^2 + b(0) + c$

$6 = 0 + 0 + c$

$c = 6$

Now that we know the value of c, let's derive 2 system of equations we would use to solve for a and b simultaneously as follows.

Substituting (2, 16), and c = 6

$f(x) = ax^2 + bx + c$

$16 = a(2)^2 + b(2) + 6$

$16 = 4a + 2b + 6$

$16 - 6 = 4a + 2b + 6 - 6$

$10 = 4a + 2b$

$10 = 2(2a + b)$

$\frac{10}{2} = \frac{2(2a + b)}{2}$

$5 = 2a + b$

$2a + b = 5$ => (Equation 1)

Substituting (3, 33), and c = 6

$f(x) = ax^2 + bx + x$

$33 = a(3)^2 + b(3) + 6$

$33 = 9a + 3b + 6$

$33 - 6 = 9a + 3b + 6 - 6$

$27 = 9a + 3b$

$27 = 3(3a + b)$

$\frac{27}{3} = \frac{3(3a + b)}{3}$

$9 = 3a + b$

$3a + b = 9$ => (Equation 2)

Subtract equation 1 from equation 2 to solve simultaneously for a and b.

$3a + b = 9$

$2a + b = 5$

$a = 4$

Replace a with 4 in equation 2.

$2a + b = 5$

$2(4) + b = 5$

$8 + b = 5$

$8 + b - 8 = 5 - 8$

$b = -3$

The quadratic function that represents the given 3 points would be as follows:

$f(x) = ax^2 + bx + c$

$f(x) = (4)x^2 + (-3)x + 6$

$f(x) = 4x^2 - 3x + 6$

6 0

2 years ago

Thirty-five sophomores, 69 juniors and 24 seniors are randomly selected from 461 sophomores, 328 juniors and 558 seniors at a ce

LekaFEV [45]

Answer:

Stratified sampling technique(A)

Step-by-step explanation:

From the question, the population of an high school from which selection was made equals 461 sophomores, 328 juniors and 558 seniors.

35 sophomores, 69 juniors and 24 seniors are randomly selected. The technique used in selecting is Stratified sampling technique. This is because stratified sampling involves dividing the entire population into stratas and then selects a final sample randomly from the different strata. This means that a smaller part of the entire population is used as a sample in drawing conclusions for the entire population.

7 0

2 years ago

Can't get my head around this at all any help would be greatly appreciated.

chubhunter [2.5K]

Answer:

The input is -6, hope this helps :D

Step-by-step explanation:

Represent the machines as expressions:

outputA= 7x-6

outputB= 3x+2

Find the input when the outputA is 3*outputB:

outputA=3outputB

(7x-6)=3(3x+2)

7x-6=9x+6

2x=-12

x=-6

3 0

2 years ago

Read 2 more answers

Show the solution to each system of linear inequalities by graphing.

Lyrx [107]

142628281991919182726(35262627282

7 0

2 years ago