Find x if f(x)=2x-7 and f(x) = 18.

Answer: 21

Step-by-step explanation:

The measure of the tangent to the circle CD = 21

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The perimeter of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle

Given data ,

Let the 2 tangents to the circle be AE and BD respectively

The measure of the line segment BD = 56

Now , the ratio of the line AE is

AC : AE = 5 : 3

The measure of AE = measure of CD

Let the value of AC = 5x

Let the value of AE = 3x

Now , the measure of AE = measure of BD

Substituting the values in the equation , we get

5x + 3x = 56   be equation (1)

On simplifying the equation , we get

8x = 56

Divide by 8 on both sides of the equation , we get

x = 7

Now , the measure of CD = 3x

Substituting the value of x in the equation , we get

CD = 3 ( 7 ) = 21

Therefore , the measure of CD = 21

Hence , the measure of CD = 21

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Answer:

The investment rate that you need for a 5000$ invest compounded annually to double in 10 years is 55,000

Step-by-step explanation:

Answer:

[tex]||v||\approx7.28[/tex]

Step-by-step explanation:

Sum of the vectors

[tex]\langle4,5\rangle+\langle-2,2\rangle=\langle4+(-2),5+2\rangle=\langle2,7\rangle[/tex]

Magnitude of the resultant vector

[tex]||v||=\sqrt{x^2+y^2}=\sqrt{2^2+7^2}=\sqrt{4+49}=\sqrt{53}\approx7.28[/tex]

Problem 16

Work Shown:

[tex]2ax - 5x = 2\\\\x(2a - 5) = 2\\\\x = \frac{2}{2a-5}\\\\[/tex]

I factored out x, then divided both sides by (2a-5)

=========================================================

Problem 17

Work Shown:

1 yard = 3 feet

1/3 yard = 1 foot

x/3 yards = x feet

In the second step, I divided both sides by 3. Afterward, I multiplied both sides by x.

#16

Option C

#17

So

[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

        What is the circumference of a circle with a radius of 3 and a diameter of 14?

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

[tex]\bold{Circumference_{(circle)}=\pi d}[/tex]

First, we multiply the radius times 2 in order to get the diameter (the radius is exactly one-half of the diameter).

Now, we substitute 6 (3•2) for d:-

[tex]\sf{C=\pi *6}[/tex]            [π=3.14]

[tex]\bigstar[/tex]On simplification,

[tex]\sf{C=3.14\times6}[/tex]

[tex]\bigstar[/tex] Which results in

[tex]\sf{C=18.84\:cm}[/tex]

                 [tex]\rule{200}{2}[/tex]

Now, let's find the circumference of a circle whose diameter is 14:

[tex]\sf{C=\pi d}[/tex]

Substitute 14 for d:-

[tex]\sf{C=14\pi }[/tex]                   Next, substitute 3.14 for pi:-

[tex]\sf{C=14\times3.14}[/tex]

[tex]\bigstar[/tex] Which results in:-

[tex]\sf{C=43.96\:units}[/tex]

         [tex]\rule{290}{2}[/tex]

Answer:

50.24

Step-by-step explanation:

you can use pi r^2

Answer:1.  72.5

Step-by-step explanation: in number one you add so is equal to 0.2 ÷ 14.5

number to we put 1÷25(42,000) so is equal to 1680 the we substract 42000-1680=40,320

Answer:

9 sections

Step-by-step explanation:

We can find the number of section by dividing the total number of CDs by the number of CDs that each case holds.

    [tex]\sf \text{Number of CDs =$\dfrac{36}{4}$}[/tex]

                              = 9

Answer:

-6/4

Step-by-step explanation:

equivalent, that means something that is equal to so if you break -6/4 to the lowest you get -6/4

The total pipe used for each of the shorter sides of the poster is 2 if Michael uses a total of 14 pipe cleaners, with 5 pipe cleaners each on the longer sides of the poster.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

We have:

Michael glues pipe cleaners around the edges of a rectangular poster. He uses a total of 14 pipe cleaners, with 5 pipe cleaners each on the longer sides of the poster.

Total pipe Michael uses = 14

He used a total of 5 pipe cleaners on each long side.

Total pipe cleaner on two long sides = 5×2 = 10

The pipe used on shorter side = 14 - 10 = 4

Total pipe for each of the shorter sides of the poster = 4/2 = 2 pipes

Thus, the total pipe for each of the shorter sides of the poster is 2 if Michael uses a total of 14 pipe cleaners, with 5 pipe cleaners each on the longer sides of the poster.

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Answer:

6.6

Step-by-step explanation:

41.4-15 = 26.4

26.4 divided by 4 equals 6.6

Idil would need to ride an average of 6.6 miles per day for the next 4 days to meet her goal of 41.4 miles for the week.

To find the average number of miles Idil would have to ride each day to meet her goal, we can use the following formula:

Average miles per day = (Total miles - Miles already ridden) / Number of days remaining

Given information:

Total miles she wants to ride = 41.4 miles

Miles already ridden = 15 miles

Number of days remaining = 4 days

Now, let's calculate the average miles per day:

Average miles per day = (41.4 - 15) / 4

Average miles per day = 26.4 / 4

Average miles per day = 6.6

So, Idil would need to ride an average of 6.6 miles per day for the next 4 days to meet her goal of 41.4 miles for the week.

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Your answer is 62.8

Have a good day

Answer:

the answer I believe will be 25.16

last option is the answer to the question

Answer:

F

Step-by-step explanation:

Evaluating the expression :

4 is clearly a rational number.

Hence, the right option is F.

Answer:

The answer is option C

Step-by-step explanation:

The solution is in the image

Answer:

58.5; 300; 196.5

Step-by-step explanation:

Area of triangle 1 = (1/2) * 9 * 13 = 58.5 inches^2

Area of whole figure = (1/2) * (14+26) * 15 = 300 inches ^2

Area of shaded region = 300 - 58.5 - [(1/2) * 6 * 15] = 241.5 - 45 = 196.5 inches^2

Answer:

280 seats

Step-by-step explanation:

40*7 = 280

Answer:

18

Step-by-step explanation:

Answer:

the answer will be (A)

Step-by-step explanation:

i think the closest will be the first option..

(sorry that i made a mistake earlier)

hope it helps .. please mark brainliest ♡

Answer:

the answer is A

Step-by-step explanation:

5 - 9 round up

1 - 4 round down

Answer:

2 and 3

Step-by-step explanation:

[tex]3*2=6\\3+2=5[/tex]

Answer:

see the attachment.

the answer is $ 32. 40/ Year

Answer:

4/9 = 0.4 with a line over the 4

Step-by-step explanation:

Answer:

C. 4/9

Step-by-step explanation:

On dividing 4/9 :

Option C gives the right answer.

Answer:

Angle VSR = 135 degrees.

Step-by-step explanation:

since it is a straight line at the top, those angles are going to add up to 180 degrees. The corners of a square is 90 degrees. And we know the other side is 45. 90 + 45 = 135 so 180 - 135 = 45 and that is the measure of the other angle. An easier way to do it would be that theres another square and the corners are still 90 degrees so you just do 90 - 45 and get 45 now you add the 45 to 90 and get 135 which is the answer.

Answer:

13

Step-by-step explanation:

13 will go inside this box  

Answer:

13

Step-by-step explanation:

Finding Upper Quartile (Q₃)

Finding Lower Quartile (Q₁)

Interquartile Range = Q₃ - Q₁

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's use slope - point form of line to get the required equation ~

[tex]\qquad \sf  \dashrightarrow \:y - y_1 = m(x - x_1)[/tex]

where,

Now, let's put in the values ~

[tex]\qquad \sf  \dashrightarrow \:y - 6= \dfrac{5}{9} (x - 9)[/tex]

[tex]\qquad \sf  \dashrightarrow \: y - 6 = \dfrac{5}{9} x - 5[/tex]

[tex]\qquad \sf  \dashrightarrow \: y = \dfrac{5}{9} x - 5 + 6[/tex]

[tex]\qquad \sf  \dashrightarrow \: y = \dfrac{5}{9} x + 1[/tex]

So, the correct choice is A

The equivalent to the length of the string in meters is 14 / 5 meters

The length of the string is expressed in a mixed fraction form.

length of the string = 2 16 / 20

let's express it in a simplified form. This is usually in an improper fraction form.

Therefore,

2 16 / 20 = 56 / 20

Hence,

56 / 20 = 14 / 5 meters

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Answer: H

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

We must equate f(x)=g(x) ;

x+3=2x^2-3

2x^2-x-6=0, when we solve for x in this equation we get 2 solutions:

x=2, x=-1.5

Since -1.5 is not seen in the table, we consider the value 2.

At x=2 in the table both f(x) and g(x) have the same value 5 and proves f(x)=g(x) has a solution at x=2.

Answer:

x = 2

Step-by-step explanation:

Given:

f(x) = |x| + 3

g(x) = 2x² - 3

From inspection of the table, the equation f(x) = g(x) has a solution when

x = 2 as this is the only value of x when the two functions have the same value of 5.

See attached graph for proof.  The points of intersection are the solutions:  (-2, 5) and (2, 5).  (Since x = -2 is not in the given table, this is not included in the answer to this question).