MATHEMATICS MIDDLE SCHOOL

Tyler simplified the expression. His procedure is shown below.
Tyler simplified the expression. His procedure is shown below. - 1

Answers

Answer 1
Answer:

Answer:

B:Both powers should be in the denominator with positive exponents.

Step-by-step explanation:

We are given that Tyler simplified an expression

x^(-3)y^(-9)

We have to find an error which Tyler makes in her simplification

Step 1: x^(-3)y^(-9)

Step 2:(1)/(x^3)\cdot y^(-9)

Step 3:(1)/(x^3y^9)

Hence, Tyler's error is both exponents should be denominator with positive exponents.

Answer:B:Both powers should be in the denominator with positive exponents.
Answer 2
Answer:

Answer:

Step-by-step explanation:

                                                        1

Tyler correctly rewrote x^(-3) as ------- , but

                                                       x³

                                                       1

he incorrectly wrote y^(-9) as   ---------

                                                    y^(-9)

Both x^9 and y^9 should be in the denominator.  This corresponds to the 2nd given possible answer.

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-3q + 12 greater than equal too 4q - 30 solve for q

Answers

Solving the inequality -3q+12\geq 4q-30 the value of q is q\leq 6

Step-by-step explanation:

We need to solve the inequality: -3q+12\geq 4q-30 and find value of q

Solving:

-3q+12\geq 4q-30\nAdding\,\,-12\,\,on\,\,both\,\,sides:\n-3q+12-12\geq 4q-30-12\n-3q\geq 4q-42\nAdding\,\,-4q\,\,on\,\,both\,\,sides:\n-3q-4q\geq 4q-42-4q\n-7q\geq -42\nDivide\,\,both\,\,sides\,\,by\,\,7\n(-7q)/(7)\geq (-42)/(7)\n -q\geq -6\nMultiply\,\,both\,\,sides\,\,by\,\,-1\,\,and\,\,reverse\,\,the\,\,inequality:\nq\leq 6

So, solving the inequality -3q+12\geq 4q-30 the value of q is q\leq 6

Keywords: Solving inequality

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Systems of Equations: Solve each system by setting the equations equal to each other and solving.y=x
y= -x

Answers


Since ' x ' and '-x ' are both equal to ' y ', they must be equal to each other.

                                     x = -x

Add ' x ' to each side:     2x = 0

Divide each side by  2 :    x = 0
                        whence   y = 0 .

That's the only possible solution to the system [ y = x  and  y = -x ] .
since x and -x both equal y they must be equal to each other:
x= -x 
+x  +x (add x to both sides)
2x=0
x=0 
when x=0, y=0

This right square pyramid has a base length of 4 inches and a slant height of 7 inches what is the surface area of this pyramid?

Answers

Hence Surface are of pyramid is74.24 inches^(2)

What is a square pyramid?

A pyramid with base as square is said square pyramid

How to calculate Surface area?

Formula to calculate surface area=A=a^(2) +2a\sqrt{(a^(2) )/(4) +h^(2) }

where a =4 ,h=7

=4^(2) +2(4)\sqrt{(4^(2) )/(4)+7^(2) }

= 16+8\sqrt{(4)/(1 ) +49

=16+8*7.28

=16+58.24

=74.24 inches^(2)

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Final answer:

The surface area of the right square pyramid is calculated by adding the area of the square base (16 square inches) and the combined area of the triangular faces (56 square inches). Hence, the total surface area of the pyramid is 72 square inches.

Explanation:

To calculate the surface area of a square pyramid, you need to calculate the area of the base and the area of the four triangular sides. Firstly, the area of the square base is found using the formula A = s², where s is the side length. In this case, the base area (A) would be 4² = 16 square inches.

Secondly, to find the area of a single triangular face you use the formula A = 0.5*base*height, in this case, the base is the same as the square base and the height corresponds to the slant height (7 inches). Thus, the area for one triangle would be 0.5*4*7 = 14 square inches. As the pyramid has four equal triangular faces, to find the total area of these faces you would multiply 14 by 4 giving 56 square inches.

Finally, to find the total surface area of the pyramid, you add the base area and the area of the triangular faces together, which results in 16 + 56 = 72 square inches.

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What is the slope of the x-axis?

Answers

the slope of the x axis is 0/1
A horizontal line has a slope of 0

Solve for x

−4.5 (x−8.9) =12.6

Answers

-4.5x + 40.05 = 12.6
-4.5x = -27.45
x = 6.1

20% of 50 is what number

PLEASE HELP

Answers

 To find a percentage, multiply the number by the percentage as a decimal. 20% as a decimal is .2.
50 times .2 is 10
50×.2=x
50×.2 = 10
10=10

20% of 50 is 10!
To get 20% of a question you would have to be able to divide by 5 so 50/5=10. So the answer is 10. Hope this helped.
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