Find the distance between a point (6, 9) and a horizontal line at y = 5. A) 4 B) 11 C) 15 D) 14

Answer:

x = 6

Step-by-step explanation:

Area of rectangle = length * width

                              = 10 * (x +2)

                              = 10*x + 10*2

                              = 10x + 20 square units

Area of triangle = [tex]\frac{1}{2}*bh[/tex]

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

                          = (x + 4) square units

Area of rectangle = 8* area of triangle

10x + 20 = 8 *( x+ 4)

10x + 20 = 8x + 32

Subtract 20 form both sides.

10x  = 8x + 32 - 20

10x = 8x + 12

Subtract 8x form both sides

10x - 8x = 12

2x = 12

Divide both sides by 2

2x/2 = 12/2

x = 6

X' = U - X

= {1,2,3,4,5,6} - {1,4,5}

= {2,3,6}

(ZUX') = {2,3,5} U {2,3,6}

= {2,3,5,6}

(Z⋃X′)⋂Y = {2,3,5,6} ⋂ {1,2}

= {2}

Answer:

Probability that a random veteran will have been exposed to agent orange is 0.4667

Step-by-step explanation:

P(exposed to agent cancer and develop cancer) = 0.35

P(develop cancer given he is already exposed to agent orange) = 0.75

P(is exposed to agent cancer) = ?

P(A given B) = P(A and B)/P(B),

P(develop cancer | exposed to agent orange)  = P(develop cancer and exposed to agent orange)/P(exposed to agent orange)  

0.75 = 0.35/P(exposed to agent orange)  

P(exposed to agent orange) = 0.35/0.75

P(exposed to agent orange) = 0.4667

Step-by-step explanation:

sin⁴A + sin²Acos²A = sin²A

Proving the left hand side ( LHS)

That's

sin⁴A can be written as ( sin²A)(sin ²A)

So we have

( sin²A)(sin ²A) + sin²Acos²A

Next factor sin²A out

That's

sin²A ( sin²A + cos²A)

Using trigonometric identities

That's

Simplify the expression

That's

sin²A × 1

We have the final answer as

As proven

Hope this helps you

Answer:

i would say the 2nd or 3rd on bc that is kinda confusing

The answer is 80.

Please mark brainliest

Answer:

10(x + 3) - (-9x - 4) = x - 5+ 3

10x+30+9x+4=x-2

19x+34=x-2

19x-x= -2-34

18x=-36

x= -2

Answer:

12x-12

Step-by-step explanation:

I believe this is the correct answer, but correct me if I'm wrong.

Answer:

B. segment AG is congruent to segment OL

Step-by-step explanation:

Answer:

Step-by-step explanation:

Perimeter = 32

length = x - 3

width = 2x + 7

Perimeter = 2* Length + 2* width

Perimeter = 2*(x-3) + 2(2x + 7) = 32         Remove the brackets.

2x - 6 + 4x + 14 = 32                                  Combine

6x + 8 = 32                                                 Subtract 1 from both sides

6x = 32 - 8

6x = 24                                                       Divide by 6

x = 24/6

x = 4

So the base = x - 3 = 4 - 3 = 1

The height  = 2*4 + 7 = 8 + 7 = 15

Answer:

subtract u from

Step-by-step explanation:

the second answer is D. t=(v-u)/a

just did it on edge

Answer:

"subtract u from"

Step-by-step explanation:

correct on edge 2022 :)

Answer:

$66,092.50

Step-by-step explanation:

In 1988, the car cost $17,000

Annual inflation over this period was 3.54% from 1988 to 2017

After adjusted for inflation, $17,000.00 in 1978 is equal to $66,092.50 in 2017

Therefore, the cost of that car in 2017 is closest to $66,092.50

Answer: Average salary per month=$1,743

(NB--- I am thinking you meant  $1,977, $1,560, $1,820 instead of $1.977 $1.560. $1.820 ie a comma instead of decimal point, so i corrected and solved )

Step-by-step explanation:

Step 1

Average salary  =Total amount of employees salaries/ Number  of employees

Step 2

Employee         Amount of salary per month

Wilma                $1,820

Mavis,                $1,615

Martha,             $1,977

Tom                   $1,560.

Total =               $ $6,972

Average salary per month  = $1,820 + $1,615+$1.977+$1.560/4 =$6,972/4= $1,743

Answer:

Step-by-step explanation:

-32.5

Answer:

36,599 rounded to the nearest thousand is 37,000

100,699 rounded to the nearest thousand is 101,000

hope this helps! best of luck <3

Answer:

37000

101000

Step-by-step explanation:

Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

E(3, 7) and F(6, 5)

The distance between them is

[tex] |EF| = \sqrt{( {3 - 6})^{2} + ({7 - 5})^{2} } \\ = \sqrt{ ({ - 3})^{2} + {2}^{2} } \\ = \sqrt{9 + 4} \\ = \sqrt{13} \: \: \: \: \: [/tex]

We have the final answer as

[tex] \sqrt{13} \: \: \: \: units[/tex]

Hope this helps you

Answer:

Jamar is correct.

Step-by-step explanation:

The scores are as follows :

−3, 2, 0, −1, 2, −4.

These numbers include negative, positive and 0 as well. These numbers cannot written in a fractional form. It means they are integers.

Here, amar says these numbers can all be described as integers, while Sophia says they are whole numbers.

It would mean that Amar is correct. Sophia is incorrect because she told that the are whole numbers. Whole numbers are simply number like 0,1,2,3,4....

Answer:

6 x (-4)

= (-24)

Step-by-step explanation:

when multiplying integers, you first need to multiply the numbers. Then you need to look at the signs if both numbers have the same signs or if it doesn't. if the signs are the same, the product is a positive . If the two numbers have different signs, you will get a negative product.

NOTE: if a number doesn't have a sign, it's a positive number

Answer:

Step-by-step explanation:

The women used a crib and used force to push the baby's crib

That guy was speeding

The bikes accelerated as he pedaled

The guy needed velocity to turn his bike

You need to exert to push a door

Space has no gravity

Newton's first law was a great moment

That object has interia

SORRY THAT'S THE BEST I CAN DO...

we basically use inverse functions in our daily lives all the time

to give you a more complicated example : knowing the interest rate, you have a function to calculate the cumulative value of an installment payment

functions are also used in computing

Answer:

1.5*10^-5

Step-by-step explanation:

Hey there! I'm happy to help!

Scientific notation is writing a number 1-10 multiplied by ten to a certain power. We see that we can write the number 1.5 to fit this.

We want to multiply by ten to a negative power as the decimal has been moved to the left. Let's count how many times we need to move the decimal over to get to 1.5.

If we count this, we have to move 7 places to get the decimal in the right spot. Therefore, to write this in scientific notation, we would write 1.5×10^-7.

Have a wonderful day! :D

Answer:

-5/9

Step-by-step explanation:

Note. If the line is parallel, then the slope is shared. If the line is perpendicular (directly opposite), it means to flip the sign as well as the fraction.

The slope of line g is 9/5. This means that the slope of line h, (which is perpendicular to line g), would be the opposite, or -5/9

-5/9 is your answer.

~

Answer:

The answer is 95 degrees.

Step-by-step explanation: rtw and srw are vertical angles and therefore have the same angle measure

PLs give brainliest if someone else answers!

The measurement of the angle ∠ SRW in the given figure is 95°

An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

Angles formed by two rays lie in the plane that contains the rays.

Angles are also formed by the intersection of two planes.

Given is a figure, lines VS and TW are intersecting at the point R, making angles, TRV, TRS, VRW and SRW,

We need to find the measurement of the angle SRW,

Here, we can see that the angles TRV and SRW, are vertically opposite angles,

Vertically opposite angles :-

Vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines. Vertically opposite angles are equal to each other.

Therefore, we can say that, ∠ TRV = ∠ SRW

Since, ∠ TRV = 95°

Therefore, ∠ SRW = 95°

Hence, the measurement of the angle ∠ SRW in the given figure is 95°

Learn more about angles, click;

https://brainly.com/question/30147425

#SPJ7

Answer:

520

Step-by-step explanation:

Answer:

3x+9=57; Chris is 16 years old

Step-by-step explanation:

3x+9=57

Move the Constant to the right

3x=57-9

Calculate

3×=48

Divide both sides

x= 16