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s344n2d4d5 [400]

3 years ago

14

What is the center and radius of a circle with an equation (x+5)2 +(y-1)2 = 64

1 answer:

Svet_ta [14]3 years ago

6 0

Answer: x = -y+28

Step-by-step explanation:

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Find the set of values of k for which the line y=kx-4 intersects the curve y=x²-2x at 2 distinct points?

Sonbull [250]

Answer:

$-6 < k < 2$

Step-by-step explanation:

Given

$y = x^2 - 2x$

$y =kx -4$

Required

Possible values of k

The general quadratic equation is:

$ax^2 + bx + c = 0$

Subtract $y = x^2 - 2x$ and $y =kx -4$

$y - y = x^2 - 2x - kx +4$

$0 = x^2 - 2x - kx +4$

Factorize:

$0 = x^2 +x(-2 - k) +4$

Rewrite as:

$x^2 +x(-2 - k) +4=0$

Compare the above equation to: $ax^2 + bx + c = 0$

$a = 1$

$b= -2-k$

$c =4$

For the equation to have two distinct solution, the following must be true:

$b^2 - 4ac > 0$

So, we have:

$(-2-k)^2 -4*1*4>0$

$(-2-k)^2 -16>0$

Expand

$4 +4k+k^2-16>0$

Rewrite as:

$k^2 + 4k - 16 + 4 >0$

$k^2 + 4k - 12 >0$

Expand

$k^2 + 6k-2k - 12 >0$

Factorize

$k(k + 6)-2(k + 6) >0$

Factor out k + 6

$(k -2)(k + 6) >0$

Split:

$k -2 > 0$ or $k + 6> 0$

So:

$k > 2$ or k $> -6$

To make the above inequality true, we set:

$k < 2$ or $k >-6$

So, the set of values of k is:

$-6 < k < 2$

3 0

3 years ago

A ball is dropped from the top of a 83-m-high building. What speed does the ball have in falling 3.6 s?

GalinKa [24]

Answer:

23.05

Step-by-step explanation:

divide

7 0

3 years ago

gal created a painting with an area of 56 square inches and a length if 7 inches. they create a second painting with an area of

qwelly [4]

Answer:

5 inches

Step-by-step explanation:

the length of painting is 56/7 = 8in. to find the length of the 2nd painting divide the area by the width: 40/8 = 5

3 0

2 years ago

PLEASE HELP I NEED THIS NOW WILL GIVE BRAINLIEST!

kvasek [131]

Answer:

A

Step-by-step explanation:

The edge

8 0

2 years ago

Find the jacobian of the transformation. x = 6v + 6w2, y = 8w + 8u2, z = 2u + 2v2

V125BC [204]

The answer for that problem is z =12+6

4 0

3 years ago