In the coordinate plane, point C lies on segment AB. If the ratio of the length of segment AC to the length of segment CB is 3:1, find the x-coordinate of C given the coordinates of A(3, 12) and B (14, 17).


Question 14 options:


A. 11.25



B. 6



C. 5.75



D. 12

Answer:

The correct answer is C.

Step-by-step explanation:

In the equation of a circle, if the variable [tex]x[/tex] and [tex]y[/tex] are added or subtracted by any number before being squared, the entire circle with be translated in the opposite amount that was added or subtracted to the circle. For example, [tex](x-8)^2 + (y-8)^2[/tex] shifts the center 8 to the right and up of the origin, [tex](x+1)^2+(y+4)^2[/tex] shifts the center 1 to the left and 4 down of the origin. Since the circle represented in the graph is centered directly on the origin, that means the equation will have [tex]x^2+y^2[/tex], which helps you eliminate choices A and C. For the equation of a circle, the radius is the value of the constant on the right side of the equal sign taken to its square root. Since the radius of this circle is 8, that means the constant at the right side of the circle would be 64 or [tex]8^2[/tex], so the correct answer would be choice C: [tex]x^2+y^2=8^2[/tex].

Answer:

Parallel: a and b, p and q, p and r, q and r

PErpendicular: p&a, p&b, q&a, q&b, r&a, r&b

Step-by-step explanation:

Parallel lines have the same slope so both of the lines would be going in the same direction and will never cross each other.

Perpendicular lines cross at a 90 degree angle.

Technically you do not know if q&a and q&b are perpendicular because you do not know if there is a 90 degree angle

Answer:

Parallel lines are equally spaced out in the same direction so it would be p,q, and r, Purpendicular Lines intersect at a 90 degee angle so it would be q and a, q and b, r and b, and r, and so on

Step-by-step explanation:

Answer:

B) [tex]\frac{15}{4}[/tex]

Step-by-step explanation:

Area of a rectangle formula:

A = bh

Given:

b = [tex]2\frac{1}{2}[/tex]

h = [tex]1\frac{1}{2}[/tex]

Work:

A = bh

A = [tex](2\frac{1}{2} )(1\frac{1}{2} )[/tex]

A = [tex]\frac{15}{4}[/tex]

Answer:

This simplified would be 32xm

Hope this helps!

Mark me brainliest if I'm right :)

Answer:

181 mi^2

Step-by-step explanation:

Dimensions of large rectangle, on the left, are 6 mi by 8 m; area is 48 m^2;

Dimensions of small rectangle, in the middle of the diagram, are 4 mi by 5 mi, or 20 mi^2; area is 20 mi^2.

Dimensions of circle:  r = 12 mi; area of quarter circle is (1/4)(3.14)(12 mi)^2, or 113 mi^2.

Total area is 113 mi^2 + 20 mi^2 + 48 mi^2, or 181 mi^2

Answer:

Step-by-step explanation:

So first off. lets take chunks of this shape. We have a 6x8 rectangle, a 4x5 rectangle, and a 1/4 circle with a radius of 12.

The area of a rectnagle is just length x width.

So lets plug in our values for our two ractnagles, and see what we get:

6*8

=

48

So our first rectangle has a area of 48

Next we have:

4*5

=

20

So our second rectangle has an area of 20.

Add these otgether you get 68.

Finally we have our 1/4 circle. To solve this, find the area of the full circle and divide by 4.

We already know the radius, which is 12, and the formula for area of a circle is:

a=πr^2

Plug in 12:

a=π12^2

=

a=π144

dividing by four for the 1/4circle:

a=π36

So this means your answer is either:

68 +36π

Or:

181.097(solving pi*36)

Either of these work, if the problem allows pi, then use the first one, If not, use the bottom one.

Hope this helps!

Answer:

52 cm²

Step-by-step explanation:

First, we find the area of the bottom rectangle. We see it's 4 high and 10 wide, so 4x10 is 40. Then, we see that the small figure in the top right has a height of 4 and width of 3, so 4x3 = 12, add those and you get 52.

Answer:

What does it mean but just Million dollar?

Step-by-step explanation:

Answer:

.

Step-by-step explanation:

Answer:

What???? (confusion)

Answer:

D

Step-by-step explanation:

Based off of previous responses and my incorrect answer, I am going to say the answer is D.

Answer: d

Step-by-step explanation: edge

Answer:

Step-by-step explanation:

on the dive boat deck :)

Answer:

0.11314

Step-by-step explanation:

The Long John Silver's restaurant parameters are;

The mean time spent at the window, μ = 59.3

The standard deviation, σ = 13.1

The time distribution is skewed right

The number of cars in the sample, n = 40 cars

The mean time spent at the window with the delivery system, [tex]\overline x[/tex] = 56.8 seconds

The Z-value for a mean time of 56.8 seconds is given as follows;

[tex]Z=\dfrac{\bar{x}-\mu }{\dfrac{\sigma }{\sqrt{n}}}[/tex]

Therefore, we get;

[tex]Z=\dfrac{56.8-59.3 }{\dfrac{13.1 }{\sqrt{40}}} \approx -1.20697620617[/tex]

Therefore, the z-value ≈ -1.21

From the normal probability table, we have;

P([tex]\overline X[/tex] ≤ 56.8) = P(Z < -1.21) = 0.11314

The probability of obtaining a sample mean of 56.8 second or less, assuming that the population mean is 59.3 seconds P([tex]\overline X[/tex] ≤ 56.8) = 0.11314.

Answer: 9π/20 radians  

How to: Convert from degrees to radians using the ratio π/180 .

Have a great day !

Answer:

24 meters

Step-by-step explanation:

First we need to show width and length as variables.

let width of garden 1 = W

let length of garden 1 = L

let width of garden 2 = w

let length of garden 2 = l

Now make equations that are explained in the question

L = 2W

l = L

w = W + 4

l × w = 120

Now with that we can find l and w.

Now by looking at the factors of 120, find the factors that work throughout the question.

That is 12 and 10.

l=12

w=10

This means that...

L=12

W=6

Now the answer is 24 meters

Answer:

12m

Step-by-step explanation:

just took the test

Answer: $4.99

Step-by-step explanation:

The amount that Savannah paid for the 3 pairs of socks will be gotten by subtracting $5.03 from $20 which will be:

= $20 - $5.03

= $14.97

Since each paid of socks cost thesame amount, the cost of each pair of socks will be:

= $14.97/3

= $4.99

Each pair of socks cost $4.99

Answer:

The answer is 12

Hope it helps

Answer:

x = 12

Step-by-step explanation:

Since the 2 legs and base angles are congruent the triangle is isosceles.

The line from the vertex to the base is a perpendicular bisector dividing the triangle into  2 right triangles.

Using Pythagoras' identity in either of the 2 right triangles with legs 3 and [tex]\frac{1}{2}[/tex] x , hypotenuse [tex]\sqrt{45}[/tex] , then

([tex]\frac{1}{2}[/tex] x )² + 3² = ([tex]\sqrt{45}[/tex] )²

[tex]\frac{1}{4}[/tex] x² + 9 = 45 ( subtract 9 from both sides ²)

[tex]\frac{1}{4}[/tex] x² = 36 ( multiply both sides by 4 to clear the fraction )

x² = 144 ( take the square root of both sides )

x = [tex]\sqrt{144}[/tex] = 12

Answer:

He is wrong because for the last part of foil he multiplies 3 times 3 and got 6 instead of 9.

Answer:

16. B

17. C

18. D

19. B

20. D

The midpoints of a rectangle always form parallelogram.

Answer:

x = 10

Step-by-step explanation:

First square both sides of the equation...

[tex]2\sqrt{x + 8} = 3\sqrt{x - 2} \\(2\sqrt{x + 8})^{2} = (3\sqrt{x - 2})^{2} \\ 4(x + 8) = 9(x - 2)\\4x + 32 = 9x - 18\\-5x = -50\\x = 10[/tex]

Answer:

I CAN ACTUALLY HELP FOR ONCE!!!! [tex]30m^{3}[/tex]

Step-by-step explanation:

Answer:

30m^3

Step-by-step explanation:

Answer:

215 cm^2

Step-by-step explanation:

Area for triangles: 1/2(b)(h)

Area for parallelograms: (b)(h)

18 - 6 - 5 = 7

20 - 10 = 10

1/2(7)(10)

1/2(70)

35

18(10)

180

180 + 35 = 215

Thank you for the Points but please stop taking answers from people who need help... Its not very kind

Answer:

he made a good choice, the width is: 4 inches

Step-by-step explanation:

12 x 8 x _4_ = 384

Diagrammatic representation of the summarized box plot is attached below :

Answer:

Range = 20

Median = 8

Step-by-step explanation:

The median value of a box plot is obtained at the point where a vertical line divides the box into two parts. In the boxplot Given the median of the representation is 8. This is the point where the vertical line divides the box.

The range of the distribution is the difference between the maximum and minimum value :

Minimum (starting point of whisker) = 5

Maximum (end point of whisker) = 25

Range = 25 - 5 = 20

Answer:

Shop B has a better value for their baked beans.

Step-by-step explanation:

Shop A:

5 kg = 5.65

1 kg = 5.65 / 5

= 1.13 pence

Shop B:

2 kg = 2.02

1 kg = 2.02 / 2

= 1.01 pence

Answer:

x = -1

Step-by-step explanation:

Answer:

That is not a circle; it has no y term

My guess:

center = (h, k) = (-4, 2)

r = √4 = 2

Step-by-step explanation:

If I had to guess what you intended:

(x  + 4)² + (y - 2)² = 4

The standard equation for a circle is

(x - h)² + (y - k)² = r²

(h, k) is the center and r is the radius

center = (h, k) = (-4, 2)

r = √4 = 2

Answer:

The height of the triangle could be found by the Pythagoras theorem, where the result is, with the data of the exercise:

And the area of the triangle is:

Step-by-step explanation:

When you have two measurements of a triangle, as the case in the picture, you can find the third with the Pythagoras theorem, which is:

As you can see in the picture, the measurement of the hypotenuse is 12, and the opposite leg could be 6, for this reason, we're gonna clear the adjacent leg of the formula above:

Now, we can replace the values in the formula obtained:

Now, as we just need the adjacent leg, we take the square root of both sides:

Now, with these data, we can find the area of the triangle with the next formula:

As the image does not contain units, it would be simply this number, however, you should know that the area units are usually given squared, for example: in^2 or ft^2.