PLEASE HELP! QUICKLY!!!

I’m not sure how to go about solving this. Could somebody help?

Answer:

The equation of the circle is;

(x - [(-1))² + (y - [7])² = 8

Step-by-step explanation:

The given coordinates of the points P and Q are;

P = (-3, 5) and Q = (1, 9)

To find the equation of the circle that has segment PQ as a diameter

The equation of a circle is (x - h)² + (y - k)² = r²

Where;

(h, k) = The coordinates of the center of the circle

r = The radius of the circle

Given that segment PQ is the diameter of the circle, we have;

The center of the circle, O = The midpoint of PQ

The coordinates of the midpoint of segment PQ, O = ((-3 + 1)/2, (5 + 9)/2) = (-1, 7)

∴ The coordinates of the center of the circle, O = The coordinates of the midpoint of segment PQ = (-1, 7)

Therefore;

h = -1, k = 7

From PQ = The diameter of the required circle, we also have;

The length of PQ = 2 × (The radius of the circle) = 2 × r

The length of segment PQ = √((1 - (-3))² + (9 - 5)²) = √32 = 4·√2

Therefore;

The length of PQ = 4·√2 = 2 × r

r = (4·√2)/2 = 2·√2

r = 2·√2

r² = (2·√2)² = 8

r² = 8

The equation of the circle is therefore;

(x - h)² + (y - k)² = r²

(x - (-1))² + (y - 7)² = 8.

Answer:

2A

6X^2

Step-by-step explanation:

Answer: the answer is 29.3

Step-by-step explanation:

Answer: D.  Parallelogram

Step-by-step explanation:

Answer:

$2.50+$1.25 times M

Step-by-step explanation:

$10.75-$8.25=$2.50

$3.50-$2.25=$1.25

$2.50+$1.25=$3.75

As only one-time fee, we cancel out it, then only add on the per-month fee, which is $1.25 every month.

Answer:

i think its (687.79)

Step-by-step explanation:

Answer:

687.79

Step-by-step explanation:

since when the number before the digit is five above

And 8 is the hundredth , the one after eight is 5 so it gives 1 to eight that's how you get your answer

Answer:

22 feet

Step-by-step explanation:

A=lw

28=l(4)

7=l

P=2l+2w

P=2(7)+2(4)

P=14+8

P=22

Hope it helped! (:

Answer:

The perimeter of the rug is 22.

Step-by-step explanation:

The formula for perimeter of a rectangle is side + side + side + side .

The width of the rug is 4 and the length of the rug is 7.

And 4 + 4 + 7 + 7 = 22.

Answer:

Step-by-step explanation:

Calculate the width of it,then add all the sides together.

Answer:

BAC=15

Step-by-step explanation:

angle BOA= 180-30= 150

triangle BAO is   isosceles because it has two equal sides, radii of a circumference so the angles ABO=BAO=(180-150)/2=15

Answer

True I’d think

Step-by-step explanation:

Answer:

The rate of change per week is $6.

Step-by-step explanation:

56 - 14 = 42

42/7 = $6

6 dollars were added each week.

Answer:

9w-15x+3

Step-by-step explanation:

3(3W – 5x + 1); using distributive property

3 times 3w= 9w

3 times -5x= -15x

3 times 1=3

combine; 9w-15x+3

Answer:

C

Step-by-step explanation:

The coordinate of the vertex of the parabola is option (C) (1,-2) is the correct answer.

The set of all points in a plane that are equidistant from a fixed line and a fixed point (not on the fixed line) in the plane is a parabola. The fixed line is the ‘directrix’ and the fixed point is the ‘focus’. The point of intersection of the parabola with the axis is the vertex.

For the given situation,

The equation of parabola is [tex](x-1)^2=12(y+2)[/tex] ------ (1)

The diagram below shows the parabola and the vertex of the equation of parabola.

The general form of the equation of parabola is

[tex](x-h)^{2} =4a(y-k)[/tex]

Here the vertex is (h,k)

Now compare the equation 1 with this general form, we get

⇒ [tex]h=1[/tex] and [tex]k=-2[/tex]

Hence we can conclude that the coordinate of the vertex of the parabola is option (C) (1,-2) is the correct answer.

Learn more about equation of the parabola here

https://brainly.com/question/20333425

#SPJ2

Given:

Leon had 84 paper clips.

He gave [tex]\dfrac{3}{4}[/tex] of them to Joe.

Joe gave [tex]\dfrac{2}{7}[/tex] of what he received to Justin.

To find:

How many paper clips did Justin get?

Solution:

Leon had 84 paper clips and he gave [tex]\dfrac{3}{4}[/tex] of them to Joe.

Number of paper clips Joe has = [tex]\dfrac{3}{4}\times 84[/tex]

                                                    = [tex]63[/tex]

Joe gave [tex]\dfrac{2}{7}[/tex] of what he received to Justin.

Number of paper clips Justin has = [tex]\dfrac{2}{7}\times 63[/tex]

                                                       = [tex]18[/tex]

Therefore, Justin has 18 paper clips.

Answer:

45 pages in 1 hour

Step-by-step explanation:

Find the unit rate by dividing the number of pages by the number of hours

135/3

= 45

This means he can read 45 pages in 1 hour.

The unit rate is 45 pages in 1 hour.

Answer:

(0,1) is the answer

Step-by-step explanation:

hope it helped!!!

Answer:

2 because it holds the same value as -2 and its the additive inverse

Answer:

Let x represent minutes.

The inequality derived from the question is...

58 > 18 + 5x

Solve for x...

58 > 18 + 5x

58 - 18 > 5x

40 > 5x

40/5 > x

8 > x

So it will take more than 8 minutes to have 58 liters.

Step-by-step explanation:

Step-by-step explanation:

Answer:

it's b on edge

Step-by-step explanation:

Answer:

[tex]y=2(\frac{1}{3})^x[/tex]

Step-by-step explanation:

Let the equation of the given exponential function is,

y = a(b)ˣ

Graph of the given exponential function passes through (0, 2) and (-1, 6)

For a point (0, 2),

2 = a(b)⁰

a = 2

For another point (-1, 6),

6 = 2(b)⁻¹

3 = b⁻¹

b = [tex]\frac{1}{3}[/tex]

Therefore, equation of the exponential function will be,

[tex]y=2(\frac{1}{3})^x[/tex]

Answer:

The scale factor is 1/4

Step-by-step explanation:

20/5 = 4

1200/240=5

so 240 goes into 1200 5 times, just like 20% goes into 100% 5 times.

The answer would be 20%.

Hope this helps!

Answer:

70[tex]x^{2}[/tex]+30x-140

Step-by-step explanation:

(7x+3) (10x-14)

70[tex]x^{2}[/tex]-98+30x-42

70[tex]x^{2}[/tex]+30x-42-98

70[tex]x^{2}[/tex]+30x-140

Answer:

x = 9

Step-by-step explanation:

These are vertical angles, and thus the angles are equal.

7x + 3 = 10x - 24

Combining like terms, we get

27 = 3x, so that x must be 9.

x = 9