for line segment ac, point b is between points a and c. points abc are collinear. if ab=x-7, bc=2x-2, and ac=x+13. solve for bc

Answer:

d = 5.10

Step-by-step explanation:

The distance between two points is given by

d = sqrt( ( y2-y1)^2 + ( x2-x1)^2 )  where ( x1,y1) and ( x2,y2) are the two points

d = sqrt( ( 5-6)^2 + (8-3)^2 )  

d = sqrt( ( -1)^2 + (5)^2 )  

d = sqrt(  1+25)

d = sqrt(26)

d = 5.099019514

Rounding to the nearest hundredth

d = 5.10

Answer:

[tex]d=\sqrt{26}\approx5.10[/tex]

Step-by-step explanation:

To find the distance between any two points, we can use the distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

We can see that Point R is at (3,6), and Point E is at (8,5).

Let's let (3,6) be (x₁, y₁) and let's let (8,5) be (x₂, y₂). So, substituting them into our formula, we'll get:

[tex]d=\sqrt{(8-3)^2+(5-6)^2[/tex]

Subtract:

[tex]d=\sqrt{(5)^2+(-1)^2[/tex]

Square:

[tex]d=\sqrt{25+1}[/tex]

Add:

[tex]d=\sqrt{26}[/tex]

Approximate. Use a calculator:

[tex]d=\sqrt{26}\approx5.10[/tex]

So, the distance between RE is approximately 5.1 units.

And we're done!

Answer:

$5 and $3

Step-by-step explanation:

Cost of banana split = b

Cost of hot fudge sundae = s

From the first equation we get:

Replacing in the second equation:

Then

So banana split costs $5 and hot fudge sundae costs $3

Answer:

the answer is five

Step-by-step explanation:

first think of it like 40 over 200 then simplified down. which will get you 1/5 ,therefore five is the answer.

2x and 4x + 108 are supplementary angles and that means they add up to 180 degrees.

2x + 4x + 108 = 180

Combine like terms

6x + 108 = 180

Subtract 108 from both sides.

6x = 72

Divide both sides by 6

x = 12

Answer:

w = 24

I hope this helps!

Answer:

The value of x = 7 to make lines L and M parallel.

Answer:

It would be C for it is the lowest.

Step-by-step explanation:

Since all of these numbers are fractions we can divide them by the denominator and see which one would be the lowest.  If we do that we will end up getting C.

A - 0.5

B - 0.5

C - 0.4

D - 0.45

Complete Question

The complete question is shown on the first uploaded image

Answer:

6a

    [tex]V(3) =  113.112[/tex]

6b

     [tex]V(\frac{3}{2})  = 14.139  [/tex]

6c

   [tex]V(2r) =  33.514r^3[/tex]

7a

  [tex] h(5) = 0 [/tex]

7b

    [tex] h(t) = -5.76 [/tex]

7c

[tex] h(x+5) = x(x+5)[/tex]

Step-by-step explanation:

Considering the question 6

The function given is [tex]V(r) = \frac{4}{3} \pi r^3[/tex]

For  V(3) we have  

        [tex]V(3) =  \frac{4}{3} \pi 3^3[/tex]

       [tex]V(3) =  \frac{4}{3} * 3.142 * 3^3[/tex]

       [tex]V(3) =  113.112[/tex]

For  [tex]V(\frac{3}{2})[/tex]

        [tex]V(\frac{3}{2})  =  \frac{4}{3} *  \pi *   (\frac{3}{2})^3 [/tex]

        [tex]V(\frac{3}{2})  =  \frac{4}{3} * 3.142 *   (\frac{3}{2})^3 [/tex]

        [tex]V(\frac{3}{2})  = 14.139  [/tex]

For   V(2r)

            [tex]V(2r) =  \frac{4}{3} \pi (2r)^3[/tex]

           [tex]V(2r) =  \frac{4}{3} * 3.142*8r^3[/tex]

           [tex]V(2r) =  33.514r^3[/tex]

Considering the question 7

     The function given is  [tex] h(t) = t^2 - 5t [/tex]

For  h(5)

          [tex] h(5) = 5^2 - 5(5) [/tex]    

           [tex] h(5) = 0 [/tex]  

For  h(1.8)

            [tex] h(t) = 1.8^2 - 5(1.8) [/tex]

            [tex] h(t) = -5.76 [/tex]

For  h(x+ 5)

              [tex] h(x+5) = (x+5)^2 - 5(x+5) [/tex]

               [tex] h(x+5) = x^2 + 25+10x-5x-25[/tex]

             [tex] h(x+5) = x(x+5)[/tex]

Answer:

3.25 * .75 = $2.44

Step-by-step explanation:

Answer:

Your answer should be $2.44 or around there

Step-by-step explanation:

Answer:

x will equal 61 degrees

Step-by-step explanation:

The total degree of a pentagon is 540. You subtract all the angles you have (138, 144, 107, and 90) and that will get your sum.

Answer:

10

Step-by-step explanation:

let the unknown number be x

so half of x decreased by 3 is

1/2x -3

It is equal to 38 less than 4 times the number which is x; 4x-37

THEREFORE;

½x-3 =4x -38

x-6/2 = 4x-38

cross-multiply

x-6 =8x -76

x-8x = -76+6

-7x = -70

Divide both sides by -7

So x =10

Answer:

- 2 8/25

Step-by-step explanation:

Hope this helps! If it does, please mark me brainliest because it will help me. Thank you so much! ;) :)

Answer:

-2.32 as a mixed number is -2 32/100 = -2 8/25

Answer: just add givento number 1 and your all done bro

Step-by-step explanation:

Answer:

by my best guess, x = -5 (negative five)

Step-by-step explanation:

Answer:

The answer is ask ten students wearing football jersey each day for a week

Step-by-step explanation:

Answer:

it its the pizza one because people could be bias and that would not give a very acturate answer

Step-by-step explanation:

Answer:

This is for x

Step-by-step explanation:

SOLVE FOR X (COMPLEX SOLUTION)

x∈C

SOLUTION STEPS

2x+4=2x+4

This is true for any x.

x∈C

SOLVE FOR X

x∈R

SOLUTION STEPS

2x+4=2x+4

This is true for any x.

x∈R

Answer:

-14

Step-by-step explanation:

Let the number be x

[tex]2x + 18 = - 10 \\ 2x = - 28 \\ x = - 14[/tex]

Answer:

greater

Step-by-step explanation:

greater beacause 1 kilo =35.274 ounce

Answer :    x=−5

Step-by-step explanation: Step 1: Simplify both sides of the equation.

−3−3x=−4(2x+7)

−3+−3x=(−4)(2x)+(−4)(7)(Distribute)

−3+−3x=−8x+−28

−3x−3=−8x−28

Step 2: Add 8x to both sides.

−3x−3+8x=−8x−28+8x

5x−3=−28

Step 3: Add 3 to both sides.

5x−3+3=−28+3

5x=−25

Step 4: Divide both sides by 5.

5x /5 =  −25 /5

x=−5

Answer:

x=−5

Answer:

x²+1 is the second

Step-by-step explanation:

2x+24=40°

4x+43=75°

x²+1=65°

(2x+24) + (4x +43) + (x²+1)=180

x²+6x+68=180

x1=-14

x2=8

since there's no negative angle, we'll use x=8

Answer:

Angle A = 58 degrees

Angle B = 32 degrees

Step-by-step explanation:

First of all, we will need to know that complementary angles are angles that sum up to 90 degrees.

This means that if we add the values of angle A and angle B, they will both sum up to 90 degrees.

i.e (2x-10) + (x-2) = 90

3x -12 = 90

3x = 102

x = 34 degrees

We can substitute this value of x into the equations for angles A and B

A = (2 X (34) - 10 ) = 58 degrees

B =  ( 34 - 2) = 32 degrees

Therefore, angles A and B are 54 and 32 degrees respectively.

Check: We can add the two angles to see if we get 90 degrees. 58 + 32 = 90 degrees. This shows that the two angles are complementary and our answer is correct.

Answer:

10y+16

Step-by-step explanation:

Distribute and combine like terms

Answer:

77

Step-by-step explanation:

77 is the only correct answer

Answer: X = -4

Step-by-step explanation:

first you need to solve, so do what needs to be done in the equation, which is just multiply and add

147 = 5 - 35x + 2

147= 7 -35x

get rid of the numbers around x, which would be subtracting 7 from both sides

140 = -35x

x = -4

Answer:

Rational

Step-by-step explanation:

A rational number is a number expressed as a fraction. So the number could be a decimal or percent.

Hope This Helps :)

The given decimal number is rational number.

Rational numbers are in the form of p/q, where p and q can be any integer and q ≠ 0. This means that rational numbers include natural numbers, whole numbers, integers, fractions of integers, and decimals (terminating decimals and recurring decimals).

The given decimal number is -0.3535.

Here, the given decimal number is repeated and terminating decimal

So, the given decimal is rational number

Therefore, the given decimal number is rational number.

To learn more about the rational numbers visit:

brainly.com/question/19161857.

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