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3 years ago

1. What is the center and radius of the circle? (x-4)² + (x-7) ² - 49

Mathematics

1 answer:

tester [92]3 years ago

4 0

Answer:

Center at (4, 7) and radius is √49, or 7

Step-by-step explanation:

Didn't you mean (x-4)² + (y-7) ² = 49?

Comparing (x-4)² + (y-7) ² = 49

to (x - h)^2 + (y - k)^2 = r^2, we see that the center is at (h, k) => (4, 7) and that the radius is √49, or 7.

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Alexus [3.1K]

Answer:

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Step-by-step explanation:

I think the equation would be

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2 years ago

Simplify the sum. (4u3 + 4u2 + 2) + (6u3 – 2u + 8)

Elan Coil [88]

Answer:

$10u^{3}+4u^{2}-2u+10$ or $2(5u^{3}+2u^{2}-u+5)$

Step-by-step explanation:

we have

$(4u^{3}+4u^{2} +2)+(6u^{3}-2u+8)$

step 1

Group terms that contain the same variable

$(4u^{3}+6u^{3})+(4u^{2})+(-2u)+(2+8)$

step 2

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step 3

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step 4

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8 0

2 years ago

Read 2 more answers

Graph Ex+ 3y = 24 a. b. c. d.

8090 [49]

Answer:

(b)

Step-by-step explanation:

Given

$8x + 3y = 24$

Required

The graph

First, make y the subject

$3y = 24 - 8x$

Divide through by 3

$y = 8 - \frac{8}{3}x$

Let x = 3

$y = 8 - \frac{8}{3}*3 = 8 - 8 = 0$

Let x = 6

$y = 8 - \frac{8}{3}*6 = 8 - 16 = -8$

So, we plot the graph through

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See attachment for graph

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2 years ago

The quotient of 24 and x equals 14 minus 2 times x

vaieri [72.5K]

Answer:

x = 3, x = 4

Step-by-step explanation:

Given

$\frac{24}{x}$ = 14 - 2x ( multiply through by x , x ≠ 0 )

24 = 14x - 2x² ( subtract 14x - 2x² from both sides )

2x² - 14x + 24 = 0 ( divide through by 2 )

x² - 7x + 12 = 0 ← in standard form

(x - 3)(x - 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

x - 4 = 0 ⇒ x = 4

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2 years ago

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harina [27]

Answer:

Step-by-step explanation:

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2 years ago