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Maurinko [17]
2 years ago
5

A rectangular prism has a surface area of 25 square feet and a similar rectangular prism has a surface area of 49 square feet. I

f the volume of the smaller prism is 160 cubic feet, what is the volume of the larger prism?
Mathematics
1 answer:
My name is Ann [436]2 years ago
4 0
I couldn’t figure that one out as well but I picked 80 square feet
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How do you simplify this and write as a polynomial in standar form? (x-9)3x-7)+(3x^2-5x+2)​
nasty-shy [4]

Answer:

Standard form of (x-9)(3x-7) + (3x^{2} - 5x+2) =6x^{2}  - 39x + 65

Step-by-step explanation:

Here, the given expression is (x-9)(3x-7) + (3x^{2} - 5x+2)

Now, simplifying the above expression in parts, we get

(x-9)(3x-7) = 3x^{2}  - 7x -27x + 63 = 3x^{2}  - 34x + 63

hence, combining both parts:

(x-9)(3x-7) + (3x^{2} - 5x+2)=(3x^{2}   -34x +63) + (3x^{2} - 5x+2)

= 6x^{2}  - 39x + 65

The above expression is of the STANDARD FORM: ax^{2}  +bx + c

Hence, the standard form of (x-9)(3x-7) + (3x^{2} - 5x+2) =6x^{2}  - 39x + 65

6 0
3 years ago
Can some explain steps​
Mashutka [201]

Answer:

r = 3.

Step-by-step explanation:

16 = 10 + √(3r + 27)

√(3r + 27) = 6

Square both sides:

3r + 27 = 36

3r = 36 - 27 = 9

r = 3.

Check the result:

Left side of the equation = 16

Right side = 10 + √(9 + 27)

                  = 10 + √36 = 16

5 0
2 years ago
Read 2 more answers
F(x+h) = (x+h)² + 3(x+h)^3<br><br> How would I distribute this?
Leno4ka [110]

Answer:

f(x + h) = 3x³ + x² + 9h²x + 3h³ + h² + 9hx² + 2hx

General Formulas and Concepts:

  • Order of Operations: BPEMDAS
  • Distributive Property
  • Expand by FOIL (First Outside Inside Last)
  • Combining like terms

Step-by-step explanation:

<u>Step 1: Define function</u>

f(x) = x² + 3x³

f(x + h) is x = x + h

<u>Step 2: Simplify</u>

  1. Substitute:                              f(x + h) = (x + h)² + 3(x + h)³
  2. Expand by FOILing:               f(x + h) = (x² + 2hx + h²) + 3(x + h)³
  3. Rewrite:                                  f(x + h) = (x² + 2hx + h²) + 3(x + h)²(x + h)
  4. Expand by FOILing:               f(x + h) = (x²+2hx+h²) + 3(x² + 2hx + h²)(x+h)
  5. Distribute/Expand:                 f(x + h) = (x²+2hx+h²) + 3(x³+3hx²+3h²x+h³)
  6. Distribute 3:                            f(x + h) = (x²+2hx+h²)+(3x³+9hx²+9h²x+3h³)
  7. Combine like terms:               f(x + h) = 3x³+x²+9h²x+3h³+h²+9hx²+2hx
3 0
2 years ago
4. 1/3(3y - 6) = 8 i need the answer to this please​
tiny-mole [99]

1/3 (3y - 6) = 8

distribute: y - 2 = 8

add 2 to both sides: y = 10

10

8 0
2 years ago
Read 2 more answers
Find the missing side of the triangle:
maxonik [38]

Answer:

C. 12cm

Step-by-step explanation:

Sum of any two sides of a triangle must always be greater than the third side.

here 8 + 7 = 15 > 12

Hence, option C is the correct answer.

7 0
2 years ago
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