Can someone help me answer this please?

Uhhhh a rational solution? an nonintegral solution? A  system of linear equations? Multiple systems of nonlinear equations?

Answer:

[tex]x = 10[/tex]

Step-by-step explanation:

[tex]\sqrt{x+6} =x-6\\[/tex]

square both sides:

[tex]\implies x+6=(x-6)^2[/tex]

Expand brackets:

[tex]\implies x+6=x^2-12x+36[/tex]

Collect and combine like terms:

[tex]\implies x^2-13x+30=0[/tex]

[tex]\implies (x-10)(x-3)=0[/tex]

[tex]\implies x=10, x=3[/tex]

Substitute values back into original equation:

[tex]x=10: \sqrt{10+6} =10-6 \implies 4 = 4 \ \ \checkmark[/tex]

[tex]x=3: \sqrt{3+6} =3-6 \implies 3 = -3 \ \ \textsf{incorrect!}[/tex]

Therefore, [tex]x=10[/tex] only

[tex]\\ \tt\rightarrowtail \sqrt{x+6}=x-6[/tex]

[tex]\\ \tt\rightarrowtail x+6=(x-6)^2[/tex]

[tex]\\ \tt\rightarrowtail x+6=x^2-12x+36[/tex]

[tex]\\ \tt\rightarrowtail x^2-13x+30=0[/tex]

[tex]\\ \tt\rightarrowtail x^2-10x-3x+30=0[/tex]

[tex]\\ \tt\rightarrowtail (x-3)(x-10)=0[/tex]

[tex]\\ \tt\rightarrowtail x=3,10[/tex]

Answer:

23 degrees

To get this:

5x means 5 squared, also known as 5 times itself. 5x5 is 25.

25 - 2 is 23.

23 degrees should be it.

Answer:

The value of x is 16 degree

Step-by-step explanation:

5x-2=78(vertically opposite angle)

or,5x=78+2

or,x=80/5

   x=16

Answer:

yes

Step-by-step explanation:

48 - 30 = 18

18/30 = 3/5 = 60%

Answer:

solution:

2+2cos (60)

Step-by-step explanation:

wc:>

Answer:

i like how to tell us to answer something with no file

Step-by-step explanation:

The total amount of rainfall is the sum of the rainfall on each day

The total amount of rainfall is [tex]3\frac 38[/tex] inches

From the dot plot, we have the following frequency table

Rainfall    Frequency

0                  4

1/8               5

1/4               1

3/8              2

1/2               1

1 1/4             1

So, the total amount of rainfall is:

[tex]Total = 0 * 4 + \frac 18 * 5 + \frac 14 * 1 + \frac 38 * 2 + \frac 12 * 1 + 1\frac 14 * 1[/tex]

Evaluate the sum

[tex]Total = 3\frac 38[/tex]

Hence, the total amount of rainfall is [tex]3\frac 38[/tex] inches

Read more about dot plots at:

https://brainly.com/question/15853311

Answer:

68

Step-by-step explanation:

=> g²+13g

putting the value of g which is 4

=> 4²+13(4)

=> 16+52

=> 68

Answer:

68

Step-by-step explanation:

We simply just plug in 4 for g since the problem states that "g=4"

Which turns our expression to "[tex]4^{2} +13(4)[/tex]"

_________________________

We start by calculating what [tex]4^{2}[/tex] equals which is 16 (4 * 4)

Now we do 13 times 4 which is 52

52 + 16 = 68

Answer:

5 is the answer..................

Answer:

920 cm^2

Step-by-step explanation:

There are 2 rectangles in the overall shape, find the areas of each rectangle... The first one is 800 and the second is 120 then we add those to make the whole shape: 920!

Answer:

Here is the graph for the equation, which is y = 4^x

Step-by-step explanation:

Hope this helps =)

Answer:

15ft square

Step-by-step explanation:

Area of triangle =1/2b×h

=1/2×6ft×5ft

=1/2×30ft square

=15ft square

Linear regression are used to represent scatter plots

The linear regression equation is: [tex]y = -0.223x + 24.081[/tex]

Start by entering the table values in a graphing calculator.

From the graphing calculator, we have the following calculation summary

Hence, the linear regression equation is:

[tex]y = -0.223x + 24.081[/tex]

Read more about linear regression at:

https://brainly.com/question/25987747

The line of best fit is y = -0.223x + 24.081

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope of the line (rate of change) and b is the y intercept (initial value of x).

Plotting the values of the table using geogebra online graphing tool, the line of best fit is y = -0.223x + 24.081

Find out more on Linear equation at: https://brainly.com/question/14323743

Answer:

x <16/3

Step-by-step explanation:

7x - 4< 4(x+3)

Distribute

7x - 4< 4x+12

Subtract 4x from each side

7x-4x - 4< 4x-4x+12

3x-4 < 12

Add4 to each side

3x-4+4 < 12+4

3x<16

Divide each side by 3

3x/3 <16/3

x <16/3

Slope:-

[tex]\\ \rm\longmapsto m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\\ \rm\longmapsto m=\dfrac{6-8}{-7-4}[/tex]

[tex]\\ \rm\longmapsto m=\dfrac{2}{11}[/tex]

Answer:

Step-by-step explanation:

Total Cost = 150 + 69.50*12

Total Cost = 150 + 834

Total Cost = 984

Hidden in that is a 6% sales tax

Cost before sales tax =  1.06 * x = 984. This is the key step. The 6% sales tax is hidden in the 1.06. So you call the original price = x.

1.06 * x = 984                 Divide by 1.06

x = 928.3                        without the sales tax

The question seems to be answered by 984. The sales tax is in that cost.

Answer:

yes a negative number is less than a positive.

Step-by-step explanation:

Because  the negative number is below zero and positive number are above Zero

Answer:

51 calories per serving

Step-by-step explanation:

Take the total number of calories and divide by the number of servings

408 calories / 8 servings

51 calories per serving

Answer:

a) f(-8) = 1

b) f(-4) = 5

c) f(2) is undefined

Step-by-step explanation:

f(x) notation means "the function of x".  Therefore, for f(-8) you need to find the y value when x = -8.  Locate -8 on the x-axis and then follow up (or down) until you meet the curve/line.  Then find the corresponding y-coordinate of this point.

From inspection of the graph:

a) f(-8) = 1

b) f(-4) = 5

c) f(2) is undefined

Answer:

D. d ≈ 9.4

Step-by-step explanation:

[] We can use the distance formula to solve

-> The distance formal is attached.

[tex]d = \sqrt{(4-9)^{2}+ (2-10)^{2} }[/tex]

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

[tex]d = \sqrt{25+ 64 }[/tex]

[tex]d = \sqrt{89}[/tex]

d ≈ 9.4

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Answer:

[tex]A=784\pi[/tex]

Step-by-step explanation:

Calculate area of the circle:

[tex]A=784\pi[/tex]

Answer:

120

Step-by-step explanation:

Kelly = 64 tokens

Ron = 40 tokens

Pierce = 16 tokens

Total = 120 tokens

The height of the lighthouse from the top of the cliff is 161.2 cm

The situation forms two right angle triangle.

Right angle triangle has one of its angles as 90 degree. Therefore, the sides and angles can be found using trigonometric ratios as follows;

tan 51.3 = opposite / adjacent

where

opposite = height of cliff and light house = x

adjacent  = distance of the ship from the base of the cliff

Therefore,

tan 51.3 = x / 980

cross multiply

x = 980 tan 51.3

x = 1223.23995563 meters

tan 47.3 = opposite / adjacent

where

opposite = height of cliff = y

adjacent = distance of the ship from the base of the cliff

tan 47.3 = y / 980

y = 980 tan 47.3

y = 1062.01582791 meters

The height of the lighthouse from the top of the cliff = 1223.23995563 -  1062.01582791 = 161.224127725  = 161.2 cm

learn more on trigonometric ratio here: https://brainly.com/question/26299702

Answer:

2m 60cm-4ft 8in=1.1776 meters which in feet

3.86351706 ft

Hope This Helps!!!

Answer:

The volume of the prism is 20 meters.

Step-by-step explanation:

2 x 2 x 5 equals 20

Answer:

20 m³

Step-by-step explanation:

Volume of a rectangular prism = width x length x height

Given:

⇒ volume = 2 x 2 x 5 = 20 m³

Answer:

9.25 ft

Step-by-step explanation:

We know that area of parallelogram= base × height

Answer:

The triangle's area formula is half of the quadrilateral's area formula

Step-by-step explanation:

If we put triangle ONE on top of triangle MHS, we could compare each angle, and we would find that the corresponding angles are all congruent. If we measured the angles, we would find that the corresponding angles are congruent. Therefore, these quadrilaterals are similar.

Answer:

39.2 m/s

Step-by-step explanation:

Let a = 9.8 m/s^2, t = 8 sec, find the initial velocity v

After time t, the rock hit the ground, so the height h = 0

Use h = vt - at^2/2 = 0

v = at/2 = 9.8 * 8/2 = 39.2 m/s

Answer:

12

Step-by-step explanation:

you will have to divide $15 by $180 and when you do that your result should end up being 12, hope that helped