MATHEMATICS HIGH SCHOOL

The area of a square piece of cardboard is 81 square inches. What is the length of the cardboard?

Answers

Answer 1
Answer:

By definition, the area of a square is given by:

Where,

L: length of the sides of the square.

Substituting values we have:

From here, we clear the value of L.

We have then:

Answer:

the length of the cardboard is:

L = 9 in
Answer 2
Answer: The square root of 81 is 9.  9*9=81. The length is 9 inches.

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Determine whether each equation has the given ordered pair as a solution.y = 5x + 8; (0,8)

How do you solve this 3 = 4x+31/5

Answers

3=4x+31/5
3=4x+6.2
3-6.2=4x-+6.2-6.2
3.2=4x
3.2/4=4x/4
0.8=x

Explain how slope is used to determine if a triangle is a right triangle.

Answers

A right triangle contains a right angle, so it must have two sides that are perpendicular. If the slopes of two sides can be shown to be negative reciprocals of each other, then it can be concluded that a right angle is formed. If a triangle contains a right angle, then it is a right triangle.
Do determine if a triangle is a right triangle using slopes, you have to understand perpendicular slopes/negative reciprocals. 

You can calculate the slope of all 3 sides of the triangle and if two of the slopes are negative reciprocals, then those two lines intersect creating a right angle/right triangle. 

Let's say there's triangle ABC. 

If the slope of AB is 1/2
and the slope of BC is 2/5
and the slope of CA is -2/1
then AB and CA intersect resulting in a right angle (triangle). 

I used 9 sheets of toilet paper each day for 7 days. The roll had 96 sheets when it was new.How many sheets of toilet paper have not been used?

Answers

33. This is a multi step problem. 6 x 9 = 63. 96 - 63 = 33.

Final answer:

You have used 63 sheets of toilet paper in 7 days (9 sheets per day). By subtracting that from the initial 96 sheets, you find that there are 33 sheets of toilet paper left unused.

Explanation:

To solve this question, first determine how many sheets of toilet paper were used in total over the 7 days. As you mentioned, you used 9 sheets per day for 7 days. So, multiply 9 sheets by 7 days to get a result of 63 sheets used in total. Subtraction is then needed to find out how many sheets were left unused on the roll. You start with 96 sheets on the roll. If you subtract the 63 sheets that were used, the result is 33. So, 33 sheets of toilet paper have not been used.

Learn more about Subtraction here:

brainly.com/question/20438352

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Math help please! Will give 20 points!1. A football is kicked at 40 yards away from a goal post that is 10 feet high. Its path is modeled by y = -0.03x 2 + 1.6x, where x is the horizontal distance in yards traveled by the football and y is the corresponding height above the ground in feet.

Does the football go over the goal post? How far above or below the goal post is the football? Use two or more complete sentences to explain your answers. (Hint: The unit conversion is built into the given function.)



Vertical Motion Model

The height, h, in feet of a projectile can be modeled by h = -16t 2 + vt + s where t is the time in the air in seconds, v is the initial vertical velocity, and s is the initial height in feet.



2. A ball is thrown from 4 feet off the ground with a vertical velocity of 30 feet per second.

Write an equation to model the height of the ball: h = -16t 2 ___t + ____.

Complete the table.

Time t in seconds 0 0.5 1 1.5 ?
Height h in feet ? ? ? ? 0


3. A ball is thrown from 4 feet off the ground with a vertical velocity of 30 feet per second.

Is the ball at its maximum height after 1 second? In two or more complete sentences, explain how you know whether or not the ball is at its maximum height.

Answers

at goal post x= 35 
the height will be y= –0.03x2 + 1.6x= 19.25 > 15  
is 4.25 feet above the goal post.

Which of these is a simplified form of the equation 7p 4 = − p 9 2p 3p? 13p = 13 3p = 5 7 = 4 11 = 15

Answers

Answer:

  • \boxed{\sf{3p=5}}

Step-by-step explanation:

To find:

  • The value of p

Given:

  • 7p + 4 = −p + 9 + 2p + 3p

\sf{7p+4=-p+9+2p+3p}

Isolate the term of p, from one side of the equation.

Combine like terms.

\rightarrow \sf{7p+4=-p+2p+3p+9}

Add the numbers from left to right.

-p+2p+3p=4p

7p+4=4p+9

Then, you subtract by 4 from both sides.

\sf{7p+4-4=4p+9-4}

Solve.

7p=4p+5

Subtract by 4p from both sides.

7p-4p=4p+5-4p

Solve.

\boxed{\sf{3p=5}}

Divide by 3 from both sides.

3p/3=5/3

Solve.

p=5/3

Divide is another option.

5/3=1.6666

So, the final answer is 3p=5.

I hope this helps, let me know if you have any questions.

Can someone please help me and look over this and answer this?I have a huge E.A and this make up my whole grade please help.

Answers

1. (Species\ A)/(Species\ B) = ((3x^(2)y)^(2))/(6(xy)^(3)) = (3x^(4)y^(2))/(6x^(3)y^(3)) = (x)/(2y)

2. (Species\ C)/(Species\ D) = \frac{20√(xy)}{4\sqrt{x^(2)y}} = (5)/(√(x)) = (5)/(√(x)) * (√(x))/(√(x)) = \frac{5√(x)}{\sqrt{x^(2)}} = (5√(x))/(x)
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