If the value of two integers differs by 3, and the product of the two integers is 108, what is the sum of the two integers?
A.21
B.19
C.25 D.23

Answer:

A. [tex](x+5)^2+(y-4)^2=16[/tex]

B. [tex](x-1)^2+(y-4)^2=2\\[/tex]

C. [tex]$\left(x-3\right)^2+\left(y-5\right)^2=9$[/tex]

Step-by-Step Explanation:

A. Tangent to x-axis, r=4, contains (-5,8)

The equation of a circle is this: [tex](x-h)^2+(y-k)^2=r^2\\[/tex]

Therefore, we know that our equation will be: [tex](x-h)^2+(y-k)^2=4^2=16[/tex]

Because the circle is tangent to the x-axis, the point (-5,8) will be the top of the circle.

Therefore, the center is (-5,4), where -5=h and 4=k.

The answer is [tex](x+5)^2+(y-4)^2=16[/tex]

B. Diameter endpoints (2,5) and (0,3)

To solve for the diameter, we can use this equation: [tex]d=\sqrt{(x_{1}-x_{2})^2+(y_{1}-y_{2})^2 }[/tex]

[tex]d=\sqrt{(2-0)^2+(5-3)^2 }\\\\d=\sqrt{2^2+2^2}=\sqrt{4+4} =\sqrt{8}= 2\sqrt{2}[/tex]

Because the radius is half of the diameter, [tex]r=\sqrt{2}[/tex]

Therefore, we know that our equation will be: [tex](x-h)^2+(y-k)^2=(\sqrt{2}) ^2=2[/tex]

Then, we can decipher that h=1, as the midpoint of 0 and 2 is 1, and k=4, as the midpoint of 3 and 5 is 4.

The answer is [tex](x-1)^2+(y-4)^2=2[/tex]

C. Center on x=3, tangent to y-axis at (0,5)

We can see that the center is (3,5). Therefore, the equation is [tex](x-3)^2+(y-5)^2=r^2\\[/tex]

To solve for r, we can substitute the point (0,5) into the equation.

[tex](0-3)^2+(5-5)^2=r^2\\(-3)^2+(0)^2=r^2\\r^2=9[/tex]

The answer is [tex](x-3)^2+(y-5)^2=9[/tex]

Hope this helped!

Answer:

vvhcfggfcc

Step-by-step explanation:

ccgvvhhh I don't I need more points buddy

Answer:

The slope of the line given by the linear equation is -2

The slope of the line shown in the graph is -1

Step-by-step explanation:

The line equation, y = -2x + 7 is written in the slope-intercept form, which is represented by the formula, y = mx + b.

m is the slope, while b is the y-intercept.

Therefore, the slope of the line of the linear equation, y = -2x + 7 is -2.

Find the slope of the line shown in the graph using the formula, [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex].

Use the coordinates of any two points on the line. Let's use (0, 5) and (5, 0)

Let,

[tex] (0, 5) = (x_1, y_1) [/tex]

[tex] (5, 0) = (x_2, y_2) [/tex]

[tex] m = \frac{0 - 5}{5 - 0} = \frac{-5}{5} = -1 [/tex]

Therefore:

The slope of the line given by the linear equation is -2

The slope of the line shown in the graph is -1

Answer:

2

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

The function intersects the y-axis at 1, and its slope is 1, so the function of the graph is y = x+1. Plugin 4, and you get y = 5.

Answer:

y= 2/4x + 16

Step-by-step explanation:

do da math

So basically you factor 4 out of 16

4(4b-1)

Answer:

18x^2 - 40x / 3

Answer:

(140-15)÷15=W

Step-by-step explanation:

140-15=125

125 still needed.  divide that by the amount that will be saved each week which is 15 a week and you get 8.3.  If they want an actual answer you would say 9 weeks because if you only did 8 Anthony would be short $5 so hed have to wait an additional week to have enough to cover the purchase.  So thats why the answer would be 9

Brainliest please!!!

Answer:

janelle is 2,015.75 ft above sea level the altimeter should read plus 2,015.75

2,015.75 ft is the Janelle's position relative to sea level while hiking and the altimeterread this position as 2,015.75.

hope this hep you

Answer: actually the mass

Step-by-step explanation: regardless on where you are the mass never change, it's the wait within a substance or a matter

Answer:  see below

Step-by-step explanation:

Domain represents the x-values from the smallest (furthest left) to the biggest (furthest right).

Range represents the y-values from the lowest (furthest down) to the highest (furthest up).

Interval notation: If a value is included (closed dot), use a bracket [  ]

                      If a value is NOT included (open dot), use a parenthesis (  )

                     Note that ± ∞ is never included.

1. Domain: smallest x-value is -4 (included). biggest x-value is 3 (included)

  Range: lowest y-value is 2 (included). highest y-value is 5 (included)

                 D: x = [-4, 3]        R: y = [2, 5]

2. Domain: smallest x-value is -∞ (←). biggest x-value is 2 (included)

  Range: lowest y-value is 2 (included). highest y-value is ∞ (↑)

                 D: x = (-∞, 2]        R: y = [2, ∞)

3. Domain: smallest x-value is -∞ (←). biggest x-value is ∞ (→)

  Range: lowest y-value is -∞ (↓). highest y-value is ∞ (↑)

                 D: x = (-∞, ∞)        R: y = (-∞, ∞)

4. Domain: smallest x-value is -∞ (←). biggest x-value is ∞ (→)

  Range: lowest y-value is -∞ (↓). highest y-value is 4 (included)

                 D: x = (-∞, ∞)        R: y = (-∞, 4]

5. Domain: smallest x-value is -∞ (←). biggest x-value is ∞ (→)

  Range: lowest y-value is 3 (included). highest y-value is ∞ (↑)

                 D: x = (-∞, ∞)        R: y = [3, ∞)

6. Domain: smallest x-value is -2 (included). biggest x-value is ∞ (→)

  Range: lowest y-value is -3 (included). highest y-value is ∞ (↑)

                 D: x = [-2, ∞)        R: y = [-3, ∞)

Answer:

BC=FD

Step-by-step explanation:

Answer: I agree it’s BC congruent to FD

Step-by-step explanation:

Answer:A

Step-by-step explanation:

There is a pattern where every two days the previous log is multiplied by three. If you divide 3 by 2 you get 1.5 this is the increase per one day so just multiply day 6 by 1.5 to get the answer for day 7.

Answer:

its either D or C

Step-by-step explanation:

A makes no sense because u only moving 2 and for B too and E it not it

Answer:

2/5 is bigger

Step-by-step explanation:

2/5 is 0.40

Answer:

its b Brother

Step-by-step explanation:

Answer:

The correct answer is B) (7,2).

Step-by-step explanation:

I hope this helps!

The question is incomplete. The full question is below.

The path of a particular punt follows the quadratic function

[tex]h(x)=\frac{-1}{8}(x-25)^{2}+50[/tex]

where h(x) is the height of the ball in yards and x corresponds to the horizontal distance in yards. Assume x=0 corresponds to midfield (the 50 yards line). For example, x=20 corresponds to the punter's own 30 yard line, whereas corresponds to the other team's 30 yard line.

a. Find the maximum height the ball achieves.

b. Find the horizontal distance the ball covers. Assume the height is zero when the ball is kicked and when the ball is caught.

Answer: a. Maximum height = 50

              b. Horizontal distance = 40

Step-by-step explanation: A quadratic function has its maximum or minimum point on its vertex.

When the function is negative, function has a maximum point.

The quadratic function h(x) is written in vertex form, meaning the coordinate of vertex is explicit in the function.

General vertex form: [tex]f(x)=A(x-h)^{2}+k[/tex]

A is vertical scaling parameter

(h,k) are the coordinates of vertex

So, the quadratic function for the height for the ball:

[tex]h(x)=\frac{-1}{8}(x-25)^{2}+50[/tex]

shows its vertex:

(h,k) = (25,50)

a. The maximum height the ball achieves the maximum value corresponds to the y-axis, which means, maximum height is 50 yards.

b. Horizontal distance is when h(x)=0, so:

[tex]\frac{-1}{8}(x-25)^{2}+50=0[/tex]

[tex]\frac{-1}{8}(x-25)^{2}=-50[/tex]

[tex](x-25)^{2}=400[/tex]

[tex]x^{2}-50x+625=400[/tex]

[tex]x^{2}-50x+225=0[/tex]

Solving quadratic equation:

[tex]x_{1}=\frac{50+\sqrt{1600} }{2}[/tex] = 45

[tex]x_{2}=\frac{50-\sqrt{1600} }{2}[/tex] = 5

When ball is kicked, it is in position 5. When is caught, is position 45. So, distance the balls covers is 40 yards.

Answer:

5, 10, 15 , 20

Step-by-step explanation:

Answer(-14x power2+18x)

Answer:

the value of x is 45 degree

Answer:

45

Step-by-step explanation:

Step 1:

2x + 55° + x - 10° = 180°            Sum of a Δ

Step 2:

3x + 45° = 180°            Combine Like Terms

Step 3:

3x = 135°      Subtract 45° on both sides

Step 4:

x = 135° ÷ 3     Divide

Answer:

x = 45

Hope This Helps :)

Answer:

y=6x

Step-by-step explanation:

direct variation equation is like y=kx (k: constant)

substitute (5,30) to solve k,

30=5k

k=6

Answer:y=6x

Step-by-step explanation:

Answer:

hey you can use google

Step-by-step explanation:

first write your question then look for useful answers

Answer:

where points are on a grid

Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation:

-17 = x - 15

+15      +15

------------------

-2 = x

Answer:

I believe the answer is A

Step-by-step explanation:

I say it's A because the volume is double like it told us. Compared to the new box it's twice as long as the old boxes.

I hope this helps! ~~~~

The volume of the new box is 8 times the volume of the old box.

The correct answer is option (D).

The volume of a rectangular box with length L, width W and height H is,

V = L × W × H

Given: -

Let [tex]l,w,h[/tex] represents the length, width and height of the old rectangular boxes.

Let [tex]V_o[/tex] represents the volume of the old rectangular box.

⇒ [tex]V_o=l\times w \times h[/tex]

The length, width and height of the new boxes are all twice as long as those of the old boxes.

This means the length, width and height of the new boxes would be [tex]2l,2w,2h[/tex].

Let [tex]V_n[/tex] represents the volume of the new rectangular box.

So, the volume of the new rectangular box would be,

⇒ [tex]V_n=2l \times 2w \times 2h[/tex]

⇒ [tex]V_n = 8 \times l \times w \times h[/tex]

⇒ [tex]V_n=8 \times V_o[/tex]

This means, the volume of the new box is 8 times the volume of the old box.

Hence, option (D) is the correct answer.

Learn more about rectangular prism here:

https://brainly.com/question/21308574

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