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Free_Kalibri [48]

3 years ago

15

Find the center and radius for the circle by the equations: x2 + y2 + 5x - y + 2 = 0.

1 answer:

lord [1]3 years ago

7 0

X2+5x+y2-y=-2
X2+2*5x2+(5/2)^2-(5/2)^2+y2-2*y/2+(1/2)^2-(1/2)^2=-2
(x+5/2)^2+(y-1/2)^2-13/2=-2
(x+5/2)^2+(y-1/2)^2=9/2
So centre =(-5/2,1/2)
Radius=(9/2)^(1/2)

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i used the answer key to get my answer and checked it with my dumb useless teacher and it’s right but, he won’t tell me how to g

gizmo_the_mogwai [7]

You multiply it with the same number you use for the denominator.
in this case 3/4 and 7/10
you find the LCM of the denominator is 20
so for 4 to become 20 you multiply by 5 then for the numerator 3 also multiply by 5, so you get 15/20
its the same also with 7/10, you multiply both the numerator and the denominator by 2 and get 14/20
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7 0

3 years ago

What is the area of the rectangle? shoe your work! do not round anything until the very end and round your final answer to the t

weeeeeb [17]

Answer:

The area of the rectangle is 42 units^2

Step-by-step explanation:

we know that

The area of rectangle is equal to

$A=LW$

In this problem

AB=DC

BC=AD

see the attached figure with letters to better understand the problem

we have that

$L=BC\\W=AB$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have the points

$A(2,-1),B(5,2),C(12,-5),D(9,-8)$

<em>Find out the distance BC</em>

we have

$B(5,2),C(12,-5)$

substitute in the formula

$d=\sqrt{(-5-2)^{2}+(12-5)^{2}}$

$d=\sqrt{(-7)^{2}+(7)^{2}}$

$d_B_C=\sqrt{98}\ units$

<em>Find out the distance AB</em>

we have

$A(2,-1),B(5,2)$

substitute in the formula

$d=\sqrt{(2+1)^{2}+(5-2)^{2}}$

$d=\sqrt{(3)^{2}+(3)^{2}}$

$d_A_B=\sqrt{18}\ units$

<em>Find out the area</em>

$A=(L)(W)$

we have

$L=d_B_C=\sqrt{98}\ units$

$W=d_A_B=\sqrt{18}\ units$

substitute

$A=(\sqrt{98})(\sqrt{18})=42.0\ units^2$

4 0

3 years ago

in the second half of the game, the Wildcats again scored 18 points. This time, however, we don't know how many total shots were

Kobotan [32]

Lets start with the chain of 3's:

18 = 3 + 3 + 3 + 3 + 3 + 3

But, we know that

3 + 3 = 2 + 2 + 2

Sol, let's replace 3 + 3 by 2 + 2 + 2 one by one.

Hence, the possible ways of combinations are listed below:

18 = 3 + 3 + 3 + 3 + 2 + 2 + 2 (1)

18 = 3 + 3 + 2 + 2 + 2 + 2 + 2 + 2 (2)

Therefore, there are two combinations of 2- and 3- point shots that could total 18 points.

3 0

3 years ago

The volume, V, of a right pyramid with the base area B and height h is calculated by the formula:

Lubov Fominskaja [6]

Answer:

B=V/13*h

Step-by-step explanation:

V=13*B*h

V/13*h=B

6 0

3 years ago

PLZ HELP I NEED IT ASAP!

DaniilM [7]

Answer:

4

Step-by-step explanation:

Since it is going up four and over one you would just simplify 4/1 to just being 4.

6 0

3 years ago

Read 2 more answers