Simplify 3a(2a+7)-2a²

Hello there!

We are given the equation of the line

y=2x+3

What's the equation of the line perpendicular to it?

Therefore, this is the equation. Hope it helps. Good luck.

To clarify any doubts, use the comment section.

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Answer:

There are 1084 pupils in that school.

Step-by-step explanation:

If there are 542 girls and boys then you would have to double 542 to get the total number of people. So, there are 1084 people in that school.

Hope this helps!

Answer:

1084

Step-by-step explanation:

542+542

The quotient of 110 divided by 4 is 27 with a remainder of 2.

To solve 110 divided by 4 using the area model, we can represent the division problem visually by creating an area model.

Draw a rectangle to represent 110.

Divide the rectangle into four equal parts to represent dividing by 4.

Distribute the value of 110 evenly across the four parts. Since 110 is not divisible evenly by 4, distribute as much as possible to each part.

Determine the quotient. Count the number of equal parts, which in this case is 27.

Therefore, the quotient of 110 divided by 4 is 27 with a remainder of 2.

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Answer:

hope it helps B-Y, C-Z, A-X

Answer:

1) 98°

2) 65°

Step-by-step explanation:

Sum of the angles in any triangle = 180°

in first triangle the third inner angle =  180 - (18 + 80) = 82 then measure of (1) = 180 - 82 = 98°

The missing interior angle of the second triangle = 180 - 124 = 56° then measure of (2) = 180 - (59+56) = 65°

Answer:

Corresponding Angles and Alternate Exterior

Step-by-step explanation:

The angles are corresponding if same side in a parallel.

This is because as the lines are parallel to one another that means that the next following angle measure is the same in approach.

For the other problems if they are opposite sides from one another.

They are called alternate exteriors.

Answer:

9.2 ft

Step-by-step explanation:

The shape is a triangle, the 11 ft is your hypotenuse

You need to use the Pythagorean Theorem!

a^2 + b^2 = c^2 (solve for a, the missing length that they ask for)

so --->

a^2 + (6^2) = 11^2

      a^2 + 36 = 121

             ~subtract 36 to the right side~

               a^2 = 85

now find the square root of 85:

               a = 9.21954

        round it to the nearest tenth:

                   a = 9.2

final answer: 9.2 ft

hope this helpsss

Step-by-step explanation:

Apply Pythagoren Theorem.

[tex] {x}^{2} + {y}^{2} = {c}^{2} [/tex]

where x and y is the legs (the sides that form a right triangle) and c is the hypotenuse.

the legs are 6 and our unknown. so let x represent the unknown

[tex] {6}^{2} + {x}^{2} = {11}^{2} [/tex]

[tex]36 + {x}^{2} = 121[/tex]

[tex] {x}^{2} = 85[/tex]

[tex]x = \sqrt{85} [/tex]

x=9.2

The statements that are true are:

a. The rate of change of segment T is decreasing

b. Difference between the rate of change of segments S and R is 3½

To determine which statements are true, find the rate of change of each segment in the graph.

Rate of change for Segment R:

Segment R is horizontal, therefore the rate of change = 0.

Rate of change for Segment S:

Rate of change = rise/run = 7/2 = 3½.

Rate of change for Segment T:

Rate of change = rise/run = 8/-8 = -1.

Rate of change for Segment U:

Rate of change = rise/run = 5/3 = 2⅔.

The rate of change of segment T is negative, therefore, it is decreasing. (Option 1 is true).

Difference between Rate of change of segment S and R = 3½ - 0 = 3½. (Option 2 is also true).

Rate of change for segment T, -1, is less than rate of change for segment S, 3½. (Option 3 is not true).

Option 4 is false. Rate of change for segment U is rather 2⅔.

Option 5 is also not true. Segment R has a rate of change of 0.

Therefore, the statements that are true are:

a. The rate of change of segment T is decreasing

b. Difference between the rate of change of segments S and R is 3½

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Answer:

B.3/7

Step-by-step explanation:

Answer: 20%

Step-by-step explanation:

1       5

100  x

100*5/1 = 20%

Answer:

x=8

Step-by-step explanation:

4(2x-5) = 5x + 4

First, use distributive property for the first part of the equation:

8x - 20 = 5x + 4  

Then, move everything to the left of the equation:

Remember, when you move something over an equals sign, the sign in front of the number changes.

8x - 20 - 5x - 4 = 0

Then, combine the like terms:

3x - 24 = 0

Move the -24 to the other side of the equation:

3x = 24

Finally, divide both sides by 3 to isolate the x.

3x/3 = 24/3

3 cancels out on the first half.

x = 24/3

x = 8

Hope this helps! Have a great day!

Answer:

x=8

Step-by-step explanation:

Step 1.

4(2x-5)=5x+4

8x-20=5x+4

Step 2.

Add 20 to both sides

8x-20=5x+4

8x-20+20=5x+4+20

Step 3.

Simplify add the numbers

8x=5x+24

Step 4.

Subtract 5x from both sides of the equation

8x=5x+24

8x-5x=5x+24-5x

Step 5

Simplify

combine like terms

3x=24

Step 6

Divide both sides of the equation by the same term

3x=24 3x/3=24/3

Step 7

Simplify

Cancel terms that are in both the numerator and denominator

divide the numbers

x=8

Answer: 2,511 km

Step-by-step explanation:

5828.6*4.75 = 2,510.85 rounded to 2,511

Answer: y is 2

Step-by-step explanation:

[tex]\huge \bf༆ Answer ༄[/tex]

Let's solve for y ~

Value of y is 2

Answer:

ok points

Step-by-step explanation:

Answer:

Answer;

23:12

Step-by-step explanation:

The ratio between the US and Russia is 23:12

The quantitative relation between two amounts shows the number of times one value contains or is contained within the other. for example-"the ratio of computers to students is now 2 to 1"

Given here  US has 46 and Russia has 24 and thus the ratio is

46:24=23:12

Hence, the required ratio is 23:12

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Answer:

117 square inches

Step-by-step explanation:

234/2

Answer:

A = 117 in²

Step-by-step explanation:

The area (A) of the triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here b = 18 and h = 13 , then

A = [tex]\frac{1}{2}[/tex] × 18 × 13 = 9 × 13 = 117 in²

Answer:

48

Step-by-step explanation:

You can easily find the percent of a number by multiplying the percent in decimal format (0.32) by the number you want to find the percent of.

150 * 0.32 = 48

Step-by-step explanation:

when finding the percentage of a number, multiply the number by the percentage's decimal form.

here's an example: 20% of 300

20% is 20/100 which is 0.20

now we just multiply

0.20×300=60

now for 32% of 150

32%--->32/100---->0.32

0.32×150=48

there you go! hope that helped

Answer:

Q6. 49π or about 153.94

Q7. 42

Q8. 17.5

Step-by-step explanation:

6. the formula for the area of a circle is πr², and you have that r, or the radius, is 7. then, you just plug that in, which would be π·7² = π·49 = 49π.

7. the formula for the area of a parallelogram is base times height, and you have base = 6 cm and height = 7 cm. this means the area is 6 · 7 = 42.

8. The formula for the area of a triangle is base times height divided by 2, and you have base = 5 and height = 7. this means the area is 5 · 7 ÷ 2 = 35÷2 = 17.5

Answer:

Two plus two equals sixxxxxxx

Answer: the answer should be true

The highlighted part of the triangle is an angle. It is on the inside of the triangle and formed by two sides coming together.

Hope this helps! :)

Answer:

Angle

Step-by-step explanation:

Vertices (plural for vertex) are basically the points of the triangle.

Angles are the amount of space between two line segments (typically measured in degrees)

Sides are line segments of a shape.

Therefore, B is right.

Answer:

115

Step-by-step explanation:

They are opposite angles. You can tell because they are on the same line, and one is smaller than the other. So together they equal 180.

180 - 65 = 115

I hope this helps!!

Answer:

50 is the answer

Step-by-step explanation:

you need to add 45+5 the you will get 50