Consider the diagram.

Line l is a perpendicular bisector of line segment R Q. It intersects line segment R Q at point T. Line l also contains point S. Line segment R S is 3 x + 2. Line segment S Q is 5 x minus 8.

What is QS?

2 units.
5 units.
17 units.
33 units.

At 1.00Pm the temperature was -13°C

So

The equation is

The data given relating to the probability shows that the total number of customers will be 27300.

The total number of customers will be:

= 24300 + 3000

= 27300

The number of customers that applied for a home mortgage will be:

= 2430 + 150

= 2580

In conclusion, the total number of customers will be 27300.

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Answer: x = 5

Step-by-step explanation:

    If you need to solve for x,

Given:

-1 (1 + 7x) - 6(-7 -x) = 36

Distribute:

-1 - 7x + 42 + 6x = 36

Combine like terms:

- x + 41 = 36

Subtract 41 from both sides of the equation:

- x = -5

Divide both sides by -1:

x = 5

Answer:

=x^3/4

Step-by-step explanation:

(x^1/2)(x^1/4)

same base

1/2+1/4

=3/4

=x^3/4

Answer:

B

Step-by-step explanation:

i had this question on my test

Answer:

B

Step-by-step explanation:

This statement is false because quadrilaterals just mean a polygon with 4 sides, but a parallelogram is a shape with two sides of opposite length. For example, a scalene quadrilateral has 4 sides, but none are the same length.

Step-by-step explanation: Range is where you put the numbers from greatest to least, I believe you can also do least to greatest. Mode is whenever you have your numbers in order form greatest to least the number that shows up the most is the mode.   HOPE THIS HELPED !!!

Answer:

C

Step-by-step explanation:

C because 25% + 10% = 35% and 10% + 25% is also 35%

Answer:

29037.036 miles

Step-by-step explanation

There are two possible ways to solve this problem.

The first option starts with the $2800 dollars for the years. You first want to divide this by $2.70, because it will give you the amount of gallons of gas you can buy with that money.

2800/2.70 = 1037.037

This means you can buy 1037.037 gallons of gas in the year. Now you need to convert this to miles by multiplying by the amount of miles per gallon.

1037.037 x 28 = 29037.036 gallons

The second way to look at this is dimensional analysis. If you have learned this, then continue on reading this, but if you haven't I might only confuse you. I only suggest this because it can make it a little easier.

For the dimensional analysis, you need to start with what you are given and move to what you need to know, so you will start with the $2800 dollars and move to gallons. $2.70 per gallon and 28 miles per gallon are your conversion factors.

Set it up like this:

[tex]2800 dollars * \frac{1 gallon}{2.70 dollars} * \frac{28 miles}{1 gallon} = 29037.036 miles[/tex]

This allows the equation to be more organized, and you can check your work by canceling the units.

Hope this helps.

Answer:
x = 20

Step-by-step explanation:

to make 3x + 5 = 65, first you can subtract 5 from 65, then divide. 60/3, which equals 20, so x = 20

Answer:

No solution

Step-by-step explanation:

System of Linear Equations given :

[1]           6x-2y=8

 [2]           1-3x+y=-4

Equations Simplified or Rearranged :

  [1]    6x - 2y = 8

  [2]    -3x + y = -5

Solve by Substitution :

// Solve equation [2] for the variable  y

 [2]    y = 3x - 5

// Plug this in for variable  y  in equation [1]

  [1]    6x - 2•(3x-5) = 8

  [1]    0 = -2 =>  NO solution

Answer:

A) 4 of the 52 cards are queens on the first draw; 3 of the remaining 51 cards are queens on the second draw: (4/52)*(3/51)

B) 4 of the 52 cards are queens on each draw: (4/52)*(4/52)

Step-by-step explanation:

correct me if. wrong

Answer:

5 birds flew away

Step-by-step explanation:

1/6x6=1

( 1 bird flew away)

so, 6-1=5

Answer:

[tex]\huge\boxed{\bf\:5\:\:birds}[/tex]

Step-by-step explanation:

Number of birds that flew away = ?

Number of birds remaining = ?

[tex]\rule{150pt}{2pt}[/tex]

Answer:

6,12,18,24,30,36,42,48,54,60... All of the numbers in this list can be divided by 6 with no remainder.

A natural number that has at least one factor other than 1 and itself.

Answer:

See below for proof

Step-by-step explanation:

[tex]\tan^2x\sin^2x\\\\(\sec^2x-1)(\sin^2x)\\\\(\frac{1}{\cos^2x}-\frac{\sin^2x}{\sin^2x})(\sin^2x)\\\\(\frac{\sin^2x-\sin^2x\cos^2x}{\sin^2x\cos^2x})(\sin^2x)\\\\\frac{\sin^2x-\sin^2x\cos^2x}{\cos^2x}\\\\\frac{\sin^2x}{\cos^2x}-\sin^2x\\\\\tan^2x-\sin^2x[/tex]

Hence, the identity is proven

The actual number of respondents corresponding to the given percentage is 57.

Percentage is the fraction of an amount expressed as a number out of 100. The sign used to rerepresnt percentages is %. Percentages are a measure of frequency.

4.2% x 1372 = 57

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Answer:

y < 1

Step-by-step explanation:

graphing with inequality

Answer:

3/1/2

Step-by-step explanation:

please mark me the brainiest

Answer: 44 units

Step-by-step explanation:

Opposite sides of a parallelogram are equal, hence sides

AB = DC

4y-2 = 2y+6

2y=8

y=4

and

BC = AD

2x+2=3x-1

x=3

AB = 4Y-2

y=4

AB=14

BC=2x+2

x=3

BC=8

Perimeter = 2 X (AB + BC)

= 2 X (14+8)

= 44

Answer:

44 units

Step-by-step explanation:

Answer:

B. Multiply each term in the 1st equation by 3

Step-by-step explanation:

Step-by-step explanation:

step 1

Multiply each term in the second equation with 4

step 2

Add equation 1 to equation 2

step 3

make x subject of formula and obtain value of X

step 4

substitute value of X in equation 1 and find Y

Answer:

Sometimes true

Step-by-step explanation:

This is only true for the numbers 0 and 1 because 0 squared is 0 and 1 squared is 1 making the different of their squares 1 and the difference of the numbers also 1.

For every other number combo this is untrue.

Answer: x = -1

Step-by-step explanation:

The problem is asking you the sum (+) of 3 times of a unknown number (let the unknown number be x) and 7, as in 3x + 7

According to the problem this expression is equal to 4,

3x + 7 = 4

1. Subtract 7 from both sides

3x = -3

2. Divide 3 on both sides

x = -1

Your final answer would be negative 1

Answer:

So it would be around 3.

Step-by-step explanation:

[tex]\sqrt{10}[/tex]= 3.16227766017

Answer:

$11,000

Step-by-step explanation:

let x = original price.

2x-2000=20000

2x=22000

x=11000

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

4t + 11 = 19

Subtract 11 from both sides

4t = 19 - 11

4t = 8

Divide both sides by 4

t = 8/4

t = 2

Answer:

the exact value of tan(-315) is 1

Answer:

The tangent of -315 is opp/adj = 1/1 = 1

Step-by-step explanation:

The angle -315 is in the 1st quadrant, in which we see a 45-45-90 triangle.  Thus, this triangle has 'opposite side' = 1, 'adjacent side' = 1, and hypotenuse √2.  The tangent of -315 is thus opp/adj = 1/1 = 1

Answer:

491 red apples

Step-by-step explanation:

1/6 are apples

then 5/6 are oranges

red apples = green apples + 291

there are 3455 oranges

total amount of fruits is :

3455 / (5/6) = (3455 x 6)/5 = 4146

4146 - 3455 = 691 apples ( total )

so red + green = 691

and red - green = 291

add the two equations

red + red + green - green = 691 + 291

2red = 982

red = 982 / 2 = 491 red apples

green = 691 - 491 = 200 green apples

so red is 291 more than green

then red = 491

Please attach some form of question first, thank you!

Step-by-step explanation:

If the equation is

[tex] \sqrt{x + 2} [/tex]

Then, here is the answer.

The definition of a derivative is

[tex] \frac{f(x + h) - f(x)}{h} [/tex]

Also note that we want h to be a small, negligible value so we let h be a value that is infinitesimal small.

So we get

[tex] \frac{ \sqrt{x + h + 2} - \sqrt{x + 2} }{h} [/tex]

Multiply both equations by the conjugate.

[tex] \frac{ \sqrt{x + h + 2} - \sqrt{x + 2} }{h} \times \frac{ \sqrt{x + h + 2} + \sqrt{x + 2} }{ \sqrt{x + h + 2} + \sqrt{x + 2} } = \frac{x + h + 2 - (x + 2)}{h \sqrt{x + h + 2} + \sqrt{x + 2} } [/tex]

[tex] \frac{h}{h \sqrt{x + h + 2} + \sqrt{x + 2} } [/tex]

[tex] \frac{1}{ \sqrt{x + h + 2} + \sqrt{x + 2} } [/tex]

Since h is very small, get rid of h.

[tex] \frac{1}{ \sqrt{x + 2} + \sqrt{x + 2} } [/tex]

[tex] \frac{1}{2 \sqrt{x + 2} } [/tex]

So the derivative of

[tex] \frac{d}{dx} ( \sqrt{x + 2} ) = \frac{1}{2 \sqrt{x + 2} } [/tex]

Part 2: If your function is

[tex] \sqrt{x} + 2[/tex]

Then we get

[tex] \frac{ \sqrt{x + h} + 2 - ( \sqrt{x} + 2) }{h} [/tex]

[tex] \frac{ \sqrt{x + h} - \sqrt{x} }{h} [/tex]

[tex] \frac{x + h - x}{h( \sqrt{x + h} + \sqrt{x}) } [/tex]

[tex] \frac{h}{h( \sqrt{x + h} + \sqrt{x} ) } [/tex]

[tex] \frac{1}{ \sqrt{x + h} + \sqrt{x} } [/tex]

[tex] \frac{1}{2 \sqrt{x} } [/tex]

So

[tex] \frac{d}{dx} ( \sqrt{x} + 2) = \frac{1}{2 \sqrt{x} } [/tex]