Use the figure to the right to find the value of PT. T is the midpoint of PQ.
PT = 4x + 5 and TQ = 8x-7

Answer:

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

Step-by-step explanation:

The distance formula states that [tex]D(x_{1} ,y_{1})(x_{2},y_{2} )=\sqrt{(x_{2} } -x_{1} )^2+(y_{2}-y_{1} )^2\\[/tex]

We plug in our points, (6,0) and (-4,5), and compute.

[tex]\sqrt{(-4-6)^2+(5-0)^2} \\\sqrt{(-10)^2+5^2} \\\sqrt{100+25} \\\sqrt{125} \\5\sqrt{5}[/tex] (Make sure you see why I put parentheses around the -10 in (-10)^2. -x^2 and (-x)^2 are not the same) (Also here is why the simplification of the radical works)

[tex]\sqrt{125} =\sqrt{5^2*5} =\sqrt{5^2} *\sqrt{5} =5*\sqrt{5} =5\sqrt{5}[/tex]

The * stands for multiplication.

Step-by-step explanation:

8-1,2,4,8

12-1,2,3,4,6,12

15-1,3,5,15

20-1,2,4,5,10,20

Answer:

2.345

Step-by-step explanation:

Answer:

Two collinear rays are parallel to each other.

Step-by-step explanation:

Two collinear rays parallel to each other, and they are on the same plane. Thus they do not meet even when extended till infinity.

An example of collinear rays is when you draw two parallel rays on a plain paper placed on an horizontal surface.

Your drawing should look like what is attached to this answer.

Yes, two collinear rays that do not intersect along with the figure attached at he end.

To draw two collinear rays that do not intersect, you can follow these steps:

1. Start by drawing a straight line segment. This will be the common line for the collinear rays.

2. Choose a point on one end of the line segment. This will be the starting point of the first ray.

3. Draw a line extending from the chosen point, in the same direction as the line segment, but do not let it intersect the line segment.

4. Choose another point on the other end of the line segment. This will be the starting point of the second ray.

5. Draw a line extending from the second point, also in the same direction as the line segment, but make sure it does not intersect the line segment or the first ray.

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The rate of change is obviously that term that describe the change over a certain period. In this problem, we are given with the condition that LaToya is able to burn 20 calories per minute. Therefore, the rate of change is 20 calories per minute.

\

Answer:B

Step-by-step explanation:20 calories per minute

Answer:

x = 4; 15 - x > 11

Step-by-step explanation:

Step 1: set up equation

15 - x = 11

- x = 11 - 15

- x = - 4

x = - 4 ÷ - 1

x = 4

For inequality:

15 - x > 11

a) x= 54÷3 = 18

b) y= 7×5 = 35

c) t= (24-6)÷4 = 4.5

Answer:

wfs

Step-by-step explanation:

Answer:

x=-400

x=-95

Step-by-step explanation:

They are negative because a negative times a negative is a positive.

Answer:

  C

Step-by-step explanation:

The table shows the sign of the function is the opposite of the sign of x, so ...

  as x → ∞, f(x) → -∞; as x → -∞, f(x) → ∞ . . . . . matches the 3rd choice

Answer:

it is C

Step-by-step explanation:

cuz i got it right

Step-by-step explanation:

Hey there!

Distance = 12x^2+11x+2.

And Time = 3x+2 hours.

Now;

[tex]speed = \frac{distance}{time} [/tex]

Put all values.

[tex]s = \frac{12 {x}^{2} + 11x + 2}{3x + 2} [/tex]

Use mid term factorization is numerator and simplify them to get answer.

[tex]s = \frac{12 {x}^{2} + (8 + 3) x+2 }{3x + 2} [/tex]

[tex]s = \frac{12 {x}^{2} + 8x + 3x + 2 }{3x + 2} [/tex]

[tex]s = \frac{4x(3x + 2) + 1(3x + 2)}{(3x + 2)} [/tex]

[tex]s = \frac{(4x + 1)(3x + 2)}{(3x + 2)} [/tex]

[tex]s = (4x + 1)[/tex]

Therefore the speed is (4x+1)/hr.

Hope it helps..

Answer:

a³ + b³

Step-by-step explanation:

Given

(a + b)(a² - ab + b²)

Each term in the second factor is multiplied by each term in the first factor, that is

a(a² - ab + b²) + b(a² - ab + b²) ← distribute both parenthesis

= a³ - a²b + ab² + a²b - ab² + b³ ← collect like terms

= a³ + b³

Answer:

a^3 + b^3 ("the sum of two cubes")

Step-by-step explanation:

If you want to express exponentiation please use the symbol " ^ ":  a^2.

(a + b)(a^2 - ab + b^2) is a "special product" that you should learn, even though you can multiply out these two factors using the Distributive Property of Multiplication.  Remember this:  (a + b)(a^2 - ab + b^2) = a^3 + b^3, which is "the sum of two cubes."

Answer: [-4,4]

Step-by-step explanation: Range is the set of y-values that are outputted by function f(x).

From the graph we see that our y-values span from -4 to 4. Since both are closed dot, they are included in the range:[-4, 4] or -4≤ y ≤ 4

Answer:

Subtract 15 from 142. -157

Step-by-step explanation:

Answer:-157

Step-by-step explanation:

When you are subtracting from negative numbers number get higher

Answer:

The answer is

Step-by-step explanation:

The sum of interior angles(s) of a polygon can be found by using the formula

Where n is the number of sides of the polygon

From the question

s = 900°

Substitute this value into the above formula and solve for n

That's

[tex]900 = (n - 2) \times 180 \\ 900 = 180n - 360 \\ 180n = 900 + 360 \\ 180n = 1260[/tex]

Divide both sides by 180

[tex] \frac{180n}{180} = \frac{1260 }{180} \\ [/tex]

We have the final answer as

n = 7

Therefore the polygon has 7 sides

Hope this helps you

Answer:

d

Step-by-step explanation:

I think its d but I'm not quite sure

Answer:

y = - 4x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 4, thus

y = - 4x + c ← is the partial equation

To find c substitute (- 1, 6) into the partial equation

6 = 4 + c ⇒ c = 6 - 4 = 2

y = - 4x + 2 ← equation of line

Answer:

y = - 4x + 2

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

They subtracted 4x when combining like terms, but they should have added it because it is a positive number. Had the term been -4x that would have been correct. -2x+4x should be 2x instead of -6x.

9514 1404 393

Answer:

  the power of 3 is the log, base 3, of the number

Step-by-step explanation:

The relationship between powers and logarithms is ...

  y = 3^x

  x = log₃(y) = log(y)/log(3)

__

For example, if you want 5 as a power of 3, that power will be ...

  log(5)/log(3) = 0.69897/0.47712 = 1.46497

That is, ...

  5 = 3^1.46497

Answer:

-4 & -6, 1 & 5, 3 & 5

Step-by-step explanation:

Answer:

adjacent

Step-by-step explanation:

Complementary angles add up to 90 degrees. These two do not. So they are not complementary.

Linear means they add up to 180o. (Same as supplementary). These two do not meet those conditions.

vertical angles are across from each other when two line segments or lines cross. These two do not.

The answer is adjacent. 90 <a+b<180

Step-by-step explanation:

-7b=21

Divide both sides by - 7

B= -3

Answer:

[tex]19x + 11.5y \geqslant 310[/tex]

19x+11.5≥310 is the  inequality that models this situation.

a relationship between two expressions or values that are not equal to each other is called 'inequality.

Given that Sneha works two part-time jobs

One job is at a tutoring company that pays $19 an hour,

Let x be the number of hours she works at the tutoring company

The other is pumping gas for $11.50 an hour

let y be the number of hours she works pumping gas.

Sneha wants to earn at least $310 a week

We have to find the inequality that models this situation.

19x+11.5≥310

Hence, 19x+11.5≥310 is the  inequality that models this situation.

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Answer:

$4.50

Step-by-step explanation:

You would divide 6 by 4 to get 1.5 being $1.50 and then muiltpy it by 3 to get 4.50.

Answer:

n = -5

I think the answer is -5, because:

The last number in the operation has a negative sign.

This can be a reason that it is-5.

Hope it helps!

Answer:

p=12

Step-by-step explanation:

DBC = 180

ABE = 180

ABC + DBA = 180

ABC = (5p -28)

DBA + (12p -4)

CBD = ABC + DBA = 180

-------------------------------------------------

180 = (5p - 28) + (12p + 4)

180 = 17p - 24

204 = 17p

12 = p

p = 12

------------------------------------------------------

180 = (5(12) - 28) + (12(12) +4)

180 = 60 - 28 + 144 +4

180 = 180

Answer:

the question mark is -2

Step-by-step explanation:

2^-8/2^2=2^-10

(2^5)^-2=2^-10

?=-2

Answer: D. domain; x>-2; range: y>0; Yes, it is a function

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

64.93

The  social security tax deducted from Gary's gross pay is $64.93.

This is the tax levied on both employers and employee to develop social security program.

The social security tax deducted from Gary's gross pay is calculated as follows;

Tax = Amount x rate

Tax = $1,047.30 x 0.062

Tax = $64.93

Thus, the  social security tax deducted from Gary's gross pay is $64.93.

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