MATHEMATICS HIGH SCHOOL

What is the next logical statement in the proof below?given: M is the midpoint of AB
prove:2(AM) = AB
a) AM+AM=AB
b) AM=AB-MB
c) AB=AM+MB
d) M (A+B)=AB

Answers

Answer 1
Answer: First, we have write down, in the language of mathematics that M is the midpoint of AB. This means that AB will have two parts, each of them ending with (or beginning with) M. This is how we do it: 

c) AB=AM+MB
Answer 2
Answer: The correct answer is AM+AM=AB I know what test this is.

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The maximum weight allowed per car on The Wildcat carnival ride is 221 pounds. Your friend weighs 60 pounds. To be able to ride in a car together, how much can you weigh? Write and solve an inequality.x – 60 inequality-lessthanorequalto 221; at most 60 pounds
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x + 60 inequality-lessthanorequalto 161; at most 221 pounds

Answers

161 + 60 inequality-lessthanorequalto 221; at most 161 pounds

221 - 60 =161

Answer:

The answer would be 161

Step-by-step explanation:

D

Determine the value of the expression 4^3 × 4^-6 .A) -12
B)-1/12
C)64
D)1/64

Answers

\bf 4^3-4^(-6)\implies 4^(3-6)\implies 4^(-3)\n\n-----------------------------\n\nnow\quad recall\implies a^{-{ n}} \implies \cfrac{1}{a^( n)}\qquad \qquad\cfrac{1}{a^( n)}\implies a^{-{ n}}\n\n-----------------------------\n\n4^(-3)\implies \cfrac{1}{4^3}\implies \cfrac{1}{64}

Answer:

1/64

Step-by-step explanation:

i got this on usatestprep.

You are going to mix a gallon bucket of window cleaner. The

You are going to mix a gallon bucket of window cleaner. The instructions

direct you to mix 1 part cleaner to 3 parts water. How much cleaning 
solution will you need to use?*

Answers

x-amount of cleaning soulution
1Gal=x+3x
1Gal=4x
x=1/4 Gal

The amount of solution needed will be 0.25 Gal.
Hope it helped!

Speed of Plane A = 450 mph.Speed of Plane B = 350 mph.
Both planes leave from Kansas City at the same time.
Plane A flies due West.
Plane B flies due South.

After 2.5 hours, how far is Plane A from Plane B?
A. 1,425.0
B. 1,322.0
C. 1,258.5

Answers

The distance between Plane A from Plane B is,

⇒ 1,425.0 m

What is Pythagoras theorem?

The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.

Given that;

Speed of Plane A = 450 mph.

Speed of Plane B = 350 mph.

And, Both planes leave from Kansas City at the same time.

Here, Plane A flies due West.

And, Plane B flies due South.

Now, Distance cover by plane A in 2.5 hours is,

⇒ 450 × 2.5

⇒ 1125 m

And, Distance cover by plane B in 2.5 hours is,

⇒ 350 × 2.5

⇒ 875 m

Thus, The distance between Plane A from Plane B is,

⇒ √1125² + 875²

⇒ 1425.0 m

Learn more about the Pythagoras theorem visit:

brainly.com/question/343682

#SPJ3
The answer would be A:

You would use distance=rate•time to solve:

450 • 2.5 = 1125
350• 2.5 = 875

Since plane A is going west and B is going south, they form a right triangle, so you can use the Pythagorean theorem to solve for the distance between them, which we will represent as x:

1125² + 875² = x²
1265625 + 765265 = x²
2030890 = x²

Once you square root x, it's about 1425.09298, which is closest to answer A, 1425.0

Evaluate 2|3y-8|+y if y =2.5

Answers

2|3y-8|+y if y =2.5
2|3（2.5）-8|+2.5 
2|7.5-8|+2.5 
2(0.5)+2.5 
1+2.5
=3.5
Subtitute value of y to the expression:

2 · |3 · 2.5 - 8| + 2.5 = 2 · |7.5- 8| + 2.5 = 2 · |-0.5| + 2.5

= 2 · 0.5 + 2.5 = 1 + 2.5 = 3.5

What is the factored form of 27d^6+8g^12?

Answers

Answer

(3d² + 2g⁴)(9d⁴ - 6d²g⁴ + 4g⁸)


Explanation

We can factor out the following equation as follows:

27d⁶ + 8g¹² = 3³d⁶ + 2³g¹²

               = (3d²)³ + (2g⁴)³

                = (3d² + 2g⁴)((3d²)² - 3d²2g⁴ + (2g⁴)²)

               =  (3d² + 2g⁴)(9d⁴ - 6d²g⁴ + 4g⁸)
I hope this helps you
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