Note: T is the midpoint of PO.
PT = 6x + 4 and TO = 52.

Answers

Answer 1

Answer:

x=8

Step-by-step explanation:

if T is the midpoint of PO then PT=TO

6x+4=52

-4        -4

6x     = 48

:6           :6

x=8

Answer 2

Answer:

The length of PO would be 104 though. If PT=TO, then 6x+4=52. That means both lengths are 52. 52+52 is 104


Related Questions

A line passes through (-5, -3) and is parallel to -3x - 7y= 10. The equation of the line in slope-intercept form is
Y=-3/7x-36/7
Y=-3/7x-6/7
Y=-7/3x-36/7
Y=-7/3x-6/7

Answers

Answer:

A.

Step-by-step explanation:

-3x-7y = 10

In slope - intercept form

y = -3/7x - 10/7

Since the lines are parallel so the slopes will be equal

m = -3/7

Now

Point = (x,y) = (-5,-3)

So, x = -5, y = -3

Putting in slope intercept form to find b

y = mx+b

-3 = (-3/7)(-5) + b

-3 = 15/7 + b

7b = -21-15

7b = -36

b = -36/7

Now the slope intercept form for the line is

y = -3/7x-36/7

The average low temperature for a town during the month of May is 53 degrees Fahrenheit. For the past 8 years, the low temperature has been not more than 11 degrees above or below that average during the month of May. Write an inequality to represent this situation. Sketch the inequality on a number line.

Answers

Answer:

8

Step-by-step exp8lanation:


Triangle EFG is dilated by a scale factor of one half centered at (1, 1) to create triangle E'F'G'. Which statement is true about the dilation?


- The slope of segment EF is the same as the slope of segment E prime H prime.

- segment E prime G prime will overlap segment EG.

- segment GF and segment G prime F prime both pass through the center of dilation.

- segment EF ≅ segment E prime F prime.

Answers

Answer:

- segment GF and segment G prime F prime both pass through the center of dilation.

Step-by-step explanation:

The center of dilation (1, 1) is the same point that vertex F, then, both F and F' are located at (1, 1).

G is located at (-2, 1). After the dilation by a scale factor of one half, G' is located at (-0.5, 1), so that the distance between G' and F' is half the distance between G and F. Therefore, segment GF and segment G'F' both pass through the center of dilation.

Answer:

segment GF and segment G prime F prime both pass through the center of dilation.

Step-by-step explanation:

Let U = {5, 10, 15, 20, 25, 30, 35, 40} A = {5, 10, 15, 20} V = {25, 30, 35, 40} C = {10, 20, 30, 40}. Find A C.

Answers

The perimeter of the rectangle below is 202 units. Find the value of .

What is the opposite of the number -2.5? How does the position of -2.5 compare to its opposite on the number line?

Answers

Answer:

-2.5 and 2.5 compare to eachother on the number line because they are the exact same distance away from 0.

Step-by-step explanation:

0 is in the very middle and to get -2.5 you go to the left 2.5 paces but to get to +2.5 you go to the right 2.5 paces. Either way you have to move Exactly 2.5 paces either to the left or right depending on if you want a positive or negative.

f(x) = x + 2 g(x) = x – 4

(f g)(x) =
2x – 2
x2 – 8
x2 – 2x – 8
x2 + 2x – 8

Answers

Answer:

x² - 2x - 8

Step-by-step explanation:

The notation (f·g)(x) means to multiply the two functions. Use the distributive property to simplify.

(f·g)(x) = (x+2)(x-4) = x² + 2x - 4x - 8 = x² - 2x - 8

 

Give me brainliest please

Answer:

x² - 2x - 8

Step-by-step explanation:

multiply (x+2)(x-4) to get x² - 2x - 8

John has 24 blue, 96 green, 16 grey, 16 red and 32 white marbles. If he wants to place them in identical groups without any marbles left over, what is the greatest number of groups John can make?


Help please. ;-;.

Answers

Answer:

Don't take my word for this but I think the max groups he can do is 16 because that is the lowest amount of marbles.

Step-by-step explanation:

The greatest number of groups which John can make with marbles in order to place them in identical groups without any marbles left over is 4.

What is GCF (greatest common factor)?

GCF or greatest common factor is the common number which all the term has in a group of terms. It is the number which can divide each number of the group.

John has 24 blue, 96 green, 16 gray, 16 red and 32 white marbles. He wants to place them in identical groups without any marbles left over.

To find such identical groups, we have to find the greatest common factor of all these numbers. The factors of all the numbers are,

24=2×2×2×396=2×2×2×2×2×316=2×2×2×216=2×2×2×232=2×2×2×2×2

Here, the 2×2×2 is the common factor which is appears in all the terms.

[tex]2\times2\times2=8[/tex]

Thus, the greatest number of groups which John can make with marbles in order to place them in identical groups without any marbles left over is 8.

Learn more about the GCF here;

https://brainly.com/question/219464

#SPJ2

0.2(d − 6) = 0.3d + 5 − 3 + 0.1d. Help needed

Answers

[tex]\text{Solve for d}\\\\0.2(d − 6) = 0.3d + 5 − 3 + 0.1d\\\\\text{Combine like terms:}\\\\0.2(d - 6) = 0.4d + 2\\\\\text{Use the distributive property:}\\\\0.2(d - 6) = 0.4d + 2\\\\0.2d-1.2=0.4d+2\\\\\text{Subtract 0.4d from both sides}\\\\-0.2d-1.2=2\\\\\text{Add 1.2 to both sides}\\\\-0.2d=3.2\\\\\text{Divide both sides by -0.2}\\\\\boxed{d=-16}[/tex]

On a coordinate plane, triangle A B C is shifted 4 units to the right and 2 units up to form triangle A prime B prime C prime. Identify the rule for the transformation shown in the figure that translates triangle ABC into triangle A'B'C'. (x, y) Right-arrow (x – 4, y – 2) (x, y) Right-arrow (x + 4, y – 2) (x, y) Right-arrow (x – 4, y + 2) (x, y) Right-arrow (x + 4, y + 2)

Answers

Answer:

(x, y) ⟶ (x + 4, y + 2)  

Step-by-step explanation:

If you shift a point four units to the right, x ⟶ x + 4.

If you shift it up two units, y ⟶ y + 2.

If you combine the two shifts into one transformation, the rule becomes

(x, y) ⟶ (x + 4, y + 2)

Answer: the correct answer is (D.) or (x, y) Right-arrow (x + 4, y + 2)

Step-by-step explanation:

find the loss percentage if cp is 400 rs and sp is 380rs

Answers

Answer:5%

Solution,

Cost price(CP)=Rs 400

Selling price (SP)=RS 380

loss percentage=?

Now,

Loss percentage=CP-SP/CP*100%

=400-380/400*100%

=20/400*100%

=5%

Hope it helps..

Good luck on your assignment

5% is the correct answer

pls answer i will mark as brainliest

Answers

Answer
Ans a) Angle XBC = 55 degree because corresponding angles in parallel lines are equal
Ans b) Angle XBC = Angle XCB ( Given )
Let the angle BXC be x
55 + 55 + x = 180 ( Angle sum property of a triangle
110 + x = 180
x = 180 - 110
x = 70
Hope you got the answer to the question

Which expression is equivalent to 10√5

Answers

Answer: square root of 500

Step-by-step explanation:

10 squared is 100

100 * the square root of 5 = the square root of 500.

Homework Help please!

Answers

Answer:

7x4

28

Step-by-step explanation:

Answer:

The correct answer is D. 28 miles

Step-by-step explanation:

Because 7 miles in 2 hrs so in 8 hrs it will be 28 miles.

Hope it helps you !!!!

Use the values in the table to verify the relationship
between the functions representing the investments.
Which conclusion can be made?
O The functions are inverses because the domain of Table
A is the same as the range of Table B.
The functions are inverses because the range of Table A
is different from the domain of Table B.
the functions are not inverses because for each
ordered pair (x, y) for one function, there is no
corresponding ordered pair (x, y) for the other function.
O The functions are not inverses because for each
ordered pair (x, y) for one function, there is no
corresponding ordered pair (y, x) for the other function.

Answers

Answer:

The functions are not inverses because for each  ordered pair (x, y) for one function, there is no  corresponding ordered pair (y, x) for the other function.  

Step-by-step explanation:

In the figure attached, the tables are shown.

For example, in table A the pair (1, 1051.21) is present, but the pair (1051.21, 1) is not present in Table B. Therefore, the functions are not inverses.

Answer:

The answer is D

Step-by-step explanation:

is 3/3 and integer or no

Answers

3/3 (assuming you mean as a fraction) is an integer because it is equal to one (a whole number)

Answer:

yes

Step-by-step explanation:

yesyesyesyeysyesyyesyeyyelja;eifjjkae

Find the value of x.

Answers

Answer:

root 30

Step-by-step explanation:

10/x=x/3

x^2=30

x= root 30

1/2 divided by 2/3 = 1/2 times ?/2 = 3/?

Answers

Answer:

3, 4

Step-by-step explanation:

do KFC or KCF doesn't matter you get the same answer

1/2 times 3/2 is 3/4

if you want to make sure it is correct multiply 3/4 by 2/3 and it gives you 1/2

Answer:

1/2 ÷ 2/3 = 1/2 × 3/2 = 3/4

Step-by-step explanation:

plz answer im desperate thank you!

Answers

The answer is 4 hope this helps

Hey!!

(56-24)/8

=32/8

=4

The right answer is 4.

hope it helps

Good luck on your assignment

If f(x) = 5x – 2 and g(x) = 2x + 1, find (f+g)(x).
O A. 3x-1
O B. 4x-3
O c. 7x-1
O D. 7x-3
SHUB
Help plzzz

Answers

Answer:

C

Step-by-step explanation:

(f + g)(x) = f(x) + g(x), thus

f(x) + g(x)

= 5x - 2 + 2x + 1 ← collect like terms

= 7x - 1 → C

Answer:

it is C.

Step-by-step explanation:

A number cube with the numbers 1 through 6 is rolled. What is the theoretical probability, as a decimal, of the number cube showing a 1? Round the decimal to the nearest hundredth.

Answers

Answer:

The probability of the number cube showing a 3 = 0.1667

Step-by-step explanation:

A number cube with the numbers 1 through 6 is rolled.

So, The numbers which are marked on the cube : 1, 2, 3, 4, 5, 6

Total no. of numbers which are marked on the number cube = 6

No. of times the number cube is rolled = 1

We need to find the theoretical probability, as a decimal, of the number cube showing a 3.

Therefore, The probability of the number cube showing a 3 is given by :

Easy question for y'all ;D
About how many times larger is the world population compared to the US population? World: 7,010,000,000 US: 317,000,000.

Answers

Answer:

the United States 2020 population is estimated at 331,002,651 people at mid year according to UN data. the United States population is equivalent to 4.25% of the total world population.

Answer:

x22.1135647

Step-by-step explanation:

7,010,000,000 divide 317,000,000 =22.1135647

please help i attached the question as a picture

Answers

Answer:

0, 1, and 4

Step-by-step explanation:

Since the denominator of a fraction must not be 0 or it would be undefined, when the denominator is 0 is where you will find your restrictions:

[tex]x^3-5x^2+4x=0 \\\\x(x^2-5x+4)=0 \\\\x(x-1)(x-4)=0[/tex]

Therefore, by the zero product property, the restrictions are 0, 1, and 4. Hope this helps!

Answer:

X cannot equal 0,1,4

Step-by-step explanation:

The restrictions are when the denominator goes to zero

x^3 -5x^2 +4x

Factor an x

x( x^2 -5x+4)

x( x-4) (x-1)

Set each term to zero

x=0  x-4 =0   x-1=0

x=0  x=4   x=1

X cannot equal 0,1,4

Checking
Quick
Check
Use additive inverses and their properties to find the equivalent expressions.

Answers

Answer:

Equivalent expression:

a) -9

b) 3

c) 9

d) -3

Step-by-step explanation:

The Property of Additive Inverse states that the summation of a number and it's Additive inverse = 0

An Additive inverse of a positive integer is a negative integer and vice versa.

For example:

5 -5 = 0

The additive inverse of 5 = -5

For the question above, we are asked to use the additive inverses and their properties to find the equivalent expressions.

a) 6 -(-3)

Additive inverse = - 6 + (-3)

= -6 - 3 = - 9

b) -6 -3

Additive inverse = 6 +(-3)

= 6 - 3 = 3

c) 6 - 3

Additive inverse = 6 + 3

= 9

d) -6 - (-3)

Additive inverse = -6 + 3

= -3

Answer:

6 - (- 3)     arrow goes to 6 + 3

6 - 3         arrow goes to 6 +  (- 3)

- 6 - (- 3)  arrow goes to -6 + 3

- 6 - 3       arrow goes to - 6 + (- 3)

Write each statement as an algebraic expression. The quotient of the number that is 1 greater than a number b and the number that is twice as large as b. RMS NEED BY 3:58 today 6/20/2020

Answers

Answer:

Quotient = (1 + b)/2b

Step-by-step explanation:

The term quotient implies the result after dividing a number or expression by another number or expression.

In other words,

Quotient = Dividend/Divisor

From the question, we understand that

Dividend = Number that is 1 greater than a number b

So,

Dividend = 1 + b

And

Divisor = Number that is twice as large as b...

So, Divisor = 2 * b

Divisor = 2b

Recall that:

Quotient = Dividend / Divisor

Quotient = (1 + b)/2b

What is the y-intercept of this quadratic function?
fin = -x^2 + 10x- 22

Answers

Answer:

- 22

Step-by-step explanation:

To find the y- intercept let x = 0 , that is

y = 0² + 10(0) - 22 = 0 + 0 - 22 = - 22 ← y- intercept

What is the second step when evaluating the expression 18 = (24 - 18) + 3-1?
18 = 6
O 24 - 18
-18 + 3
3-1

Answers

I believe you meant the equal signs to be division symbols haha. The next step would be 18/6.

Answer:

8/16

Step-by-step explanation:

please help me, i don't get this​

Answers

Answer:

A

Step-by-step explanation:

The rule is, whenever you plug in g(x) into f(x) or vice versa, they always must equal x. So if you plugged in g(x) into f(x), then the outcome should be x. If the output is not x, then they are not inverses.

Your answer should be A

Trapezoid DEFG is dilated according to the rule
DO,4(x,y) to form the image trapezoid D'E'F'G', which is shown on the graph.

On a coordinate plane, trapezoid D prime E prime F prime G prime has points (negative 8, 8), (negative 3, 8), (negative 5, 4), and (negative 8, 4).

What are the coordinates of point G of the pre-image?

Answers

Answer: A. (-2,1)

Step-by-step explanation:

Just took the test! Hope this helps!

Answer:

It's A

Step-by-step explanation:

Three functions are given below: f(x), g(x), and h(x). Explain how to find the axis of symmetry for each function, and rank the functions based on their axis of symmetry (from smallest to largest).

Answers

Answer:

three functions are

f(x) = 3(x + 4)^2 + 1

g(x) = 2x^2 - 16x + 15

h(x) = a(x - 1) - 3

Axis of symmetry for f(x) is x=-4 For g(x)

by taking the derivative

g'(x) = 4x - 16

= 4(x - 4)

The Axis of symmetry for g(x) is x=4

The Axis of symmetry for h(x) is x=1

hope it helps

Solve for x in the diagram below.
(2x + 30°
40°
40°
т

Answers

Answer:

x = 35°

Step-by-step explanation:

assuming that the straight line at the bottom of the figure is actually a straight line, that means all the angles along that straight line must add up to 180 °

i.e.

40 + (2x+30) + 40 = 180

40 + 2x+30 + 40 = 180

110 + 2x = 180  (subtract 110 from both sides)

2x = 180 - 110

2x = 70

x = 35

Answer:

x=35

Step-by-step explanation:

The 3 angles are on a straight line. A straight line is equal to 180 degrees. Therefore, the 3 angles are supplementary and add to 180 degrees.

40+2x+30+40=180

Combine like terms. Add all the terms on the left side without a variable.

2x+(40+30+40)=180

2x+110=180

We want to find out what n is. In order to do this, we have to get n by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

110 is being added to 2x. The opposite of addition is subtraction. Subtract 110 from both sides.

2x+110=180-110

2x=180-110

2x=70

x is being multiplied by 2. The opposite of multiplication is division. Divide both sides by 2.

2x/2=70/2

x=70/2

x=35

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