Points A, B, and C are collinear. Point B is the midpoint of AC. AB=12x-398. BC=22. Solve for x

Answer:

x=3

Step-by-step explanation:

Answer:

[tex]\boxed {\tt x=3}[/tex]

Step-by-step explanation:

We are given the equation:

[tex]5x-2=3x+4[/tex]

We want to solve for x, therefore we must isolate x on one side of the equation.

First, move all the constants to one side of the equation. 2 is being subtracted from 5x. The inverse of subtraction is addition. Add 2 to both sides.

[tex]5x-2+2=3x+4+2[/tex]

[tex]5x=3x+4+2[/tex]

[tex]5x=3x+6[/tex]

Next, move all the terms with variables to one side. 3x is being added to 6. The inverse of addition is subtraction. Subtract 3x from both sides.

[tex]5x-3x=3x-3x+6[/tex]

[tex]5x-3x=6[/tex]

[tex]2x=6[/tex]

x is being multiplied by 2. The inverse of multiplication is division. Divide both sides of the equation by 2.

[tex]\frac{2x}{2} =\frac{6}{2}[/tex]

[tex]x=\frac{6}{2}[/tex]

[tex]x=3[/tex]

x is equal to 3 and the correct answer is D. x=3

Answer: y=K/5z

Step-by-step explanation:

To solve for y, you need to use algebraic properties to isolate y.

K=5yz            [divide both sides by 5z]

K/5z=y

y=K/5z

Answer:

the answer is A

Step-by-step explanation:

those who want to save money and will only use product for a few years

Answer:

those who want to save money  an will use the product for only a few years

Step-by-step explanation:

i took a test on edge 2020!!!

Answer:

A triangle is a three sided figure.

Explanation:

A triangle is a polygon with three sides.

Answer:

Step-by-step explanation:

Remove the brackets

3x*x^2 - 5x*3x + 3x*1 - 2x^2+3x -7  

Combine

3x^3 - 15x^2 + 3x - 2x^2 + 3x - 7

3x^3 17x^2 +6x - 7

Answer:

15

Step-by-step explanation:

one side is equal to 5. So 5 ×3

Answer:

Q4. a) 2000 cm³

b) 0.982 cm³ (3 s.f.)

c) 183 cm³ (3s.f.)

d) 2196 cm³

e) 2380 cm³

Q5. 8376 handles

Step-by-step explanation:

Please see the attached pictures for the full solution.

Answer:

  2)  c)  (x-3)² + (y+2)² = 25

  5)  x^2 +y^2 -8x -16y +54 = 0

  6)  x^2 +y^2 -10x -12y +36 = 0

Step-by-step explanation:

2) The standard form equation for a circle is ...

  (x -h)^2 +(y -k)^2 = r^2

You are given the center: (h, k) = (3, -2) and a point on the circle. So, the equation will be ...

  (x -3)^2 +(y +2)^2 = r^2

Since we know a point on the circle we know that ...

  (7 -3)^2 +(1 +2)^2 = r^2 = 16 +9 = 25

So, the circle's equation is ...

  (x -3)^2 +(y +2)^2 = 25 . . . . . matches choice C

__

5) As in the previous problem, the standard form equation is ...

  (x -4)^2 +(y -8)^2 = (-1-4)^2 +(7-8)^2 = 25+1 = 26

To put this in general form, we need to subtract 26 and eliminate parentheses.

  x^2 -8x +16 +y^2 -16y +64 -26 = 0

  x^2 +y^2 -8x -16y +54 = 0

__

6) A circle tangent to the y-axis will have a radius equal to the x-value of the center point.

  (x -5)^2 +(y -6)^2 = 5^2

  x^2 -10x +25 +y^2 -12y +36 = 25

  x^2 +y^2 -10x -12y +36 = 0

Answer:

The car is 13 years old

Step-by-step explanation:

Lets say Car is x and the Truck is y, so the trucks age = x + 3 = y

    Lets find the value of the Car or x

x + 3 = 1/2(x + 7)------- >

first we will divide x by 1/2 and 7 by 1/2, So...

x + 3 = (x / 1/2 + 7 / 1/2)------- >

x + 3 = 1/2x + 3.5------->

next Isolate variable x,

x + 1/2x = 3 + 3.5

1/2x = 6.5, So...

x = 13 and in turn, y = 13 + 3

:)

Answer:

(C) [tex]h = \frac{2a}{b}[/tex]

Step-by-step explanation:

Here we have the formula for the area of a triangle: [tex]A = \frac{1}{2}bh[/tex]. Our goal is to isolate h on one side of the equation.

To do this, let’s treat the rest of the equation as if there were no variables.

Multiply both sides by 2:

[tex]2a = bh[/tex]

Divide both sides by [tex]b[/tex]:

[tex]\frac{2a}{b} = h[/tex]

Hope this helped!

Answer:

D = [tex]5\sqrt{5}[/tex]

Step-by-step explanation:

[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\d= \sqrt{(-7-(-2))^2+(-7-3)^2} \\d= \sqrt{(-5)^2+(-10)^2} \\d= \sqrt{25+100} \\d= \sqrt{125} \\d= 5\sqrt{5}[/tex]

Answer:

I don't get it

Step-by-step explanation:

Answer:

D; 21

Step-by-step explanation:

Mr. Stewart is making a scale drawing of his classroom. The actual dimensions of the room are shown below.

If transversal t cuts parallel lines r and s, then the angles  ∠3, ∠5 and ∠6 are congruent to  ∠2.

Coordinate systems are used to describe the (linear) position of points and the angular position of axes, planes, and rigid bodies.

A transversal is a line, ray, or line segment that intersects other lines, rays, or line segments on a plane at different intersecting points.

Congruent angles are two or more angles that are identical to each other.

The angle ∠2 measure is equal  to ∠3.

∠2 measure is equal  to ∠6.

∠6 measure is equal  to ∠5.

The measures ∠3, ∠5 and ∠6 are equal to the measure of ∠2.

∠3, ∠5 and ∠6 are congruent to  ∠2

Hence, if transversal t cuts parallel lines r and s, then the angles  ∠3, ∠5 and ∠6 are congruent to  ∠2.

To learn more on Coordinate system click:

https://brainly.com/question/29762404

#SPJ7

Answer:

first

area of rectangle = l*b

                         =     (3x-y+4) ( X+7)

                       = 3x²-xy + 4x+21x-7y+28

                       = 3x²-xy +25x-7y +28

Area of square = l²

                        = (x-2)²= x²- 4x +4

area of shaded region=( 3x²-xy +25x-7y +28) -(x²- 4x +4)

                                     =2x²-xy +29x-7y+24

Step-by-step explanation:

Hey there!☺

[tex]Answer:\boxed{3y+2}[/tex]

[tex]Explanation:[/tex]

[tex]3y+2[/tex]

Since there are no like terms and it can't be factored the answer is:

[tex]3y+2[/tex]

Hope this helps!

the answer is giga

Step-by-step explanation:

cause giga stands fir 1,000,000,000 1 billion

Answer:

giga

Step-by-step explanation:

Answer:

f(x) = expression

f(2) = 14 means that your x-value is 2. when you plug in 2 for x, you get 14 as y.

Answer:

6/2 + 6/8

3/1 + 3/4

12/4 +4/4

that is 1

Answer:

3,000.75

Step-by-step explanation:

this is the answer

Answer:

f(x) = x² + 5 / x - 5

There is infinite discontinuity at x = 5. At this value, the graph becomes undefined because the denominator is 0.

Answer: 3/4

Step-by-step explanation: Doing order of operations we first do 7x1=7, then 7-4=3, then finally do 4x1/4=3/4.

Hope this helps! :)

Answer:

= 6

Step-by-step explanation:

7 x 1 - 4 x 1/4

7 - 4 x 1/4

7 - 1

= 6

hope this helps

Answer:

sometime

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

7gd7ts7ts6rs6rsyrs6rstrar

Answer:

A plane has two dimensions because it is a flat surface that has length and width but no depth.

Step-by-step explanation:

wikipedia it

Answer:8:3

Step-by-step explanation:

there are 5 paper back and 3 hardcover

the first part of the ratio is 8 bc the TOTAL number of books is 8 then the second part (3) is the hardcover books making the ratio 8:3

Answer:

[tex]\frac{7x}{8}-\frac{1}{40}[/tex]

Step-by-step explanation:

[tex](\frac{3x}{4}-\frac{5}{8})+(\frac{x}{8}+\frac{3}{5})[/tex]

By combining the like terms,

= [tex](\frac{3x}{4}+\frac{x}{8})+(\frac{3}{5}-\frac{5}{8})[/tex]

= [tex](\frac{6x}{8}+\frac{x}{8})+(\frac{3}{5}\times \frac{8}{8}-\frac{5}{8}\times \frac{5}{5} )[/tex]

= [tex]\frac{7x}{8}+(\frac{24}{40}-\frac{25}{40})[/tex]

= [tex]\frac{7x}{8}-\frac{1}{40}[/tex]

Therefore, by solving the given expression we find the answer as [tex]\frac{7x}{8}-\frac{1}{40}[/tex].

Answer:

principal (p) = 2400

Amount (A) =2646

time (t) = 2 years

Interest = A-p

           =2646-2400=246

T = I * 100/(P*T)

  = 246*100/(2400 *2) = 5.125%

Step-by-step explanation:

The rate of interest will be 5.125% for the given data.

Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.

Given that the sum of rs 2400 compounded to rs 2646 in 2 years. The compound interest will be calculated as,

principal (p) = 2400

Amount (A) =2646

time (t) = 2 years

Interest = A-p

=2646-2400=246

T = I x  100/(P x T)

T = ( 246 x 100) / (2400  x 2)

T = 5.125%

Hence, the interest rate will be %5.125.

To know more about compound interest follow

https://brainly.com/question/28020457

#SPJ5

Answer:

5 5

Step-by-step explanation:

the second five is small five