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Pavlova-9 [17]
3 years ago
5

Subtract: 6a3 - 2a2 + 4 from 5a3 - 4a + 7

Mathematics
2 answers:
wlad13 [49]3 years ago
8 0

subtract like terms

5a^3 - 6a^3 = -a^3

7 - 4 = 3

answer is -a^3 + 2a^2 - 4a + 3

maria [59]3 years ago
8 0

Answer:

-1a^3+2a^2-4a+3

Step-by-step explanation:

Subtract:6a^3 - 2a^2 + 4 from 5a^3 - 4a + 7

(5a^3-4a+7)-(6a^3-2a^2+4)

To subtract multiply the negative sign inside the parenthesis and combine like terms

5a^3-4a+7-6a^3+2a^2-4

Combine the like terms

5a^3-6a^3= -1a^3, 7-4=3

No like terms for -2a^2 and 4a. so it remains the same

5a^3-4a+7-6a^3+2a^2-4

-1a^3+2a^2-4a+3

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Plz help with this math
Dmitry_Shevchenko [17]

Answer: Split it into a trapezoid and rectangle and the answer is = 120

Step-by-step explanation:

Trapazoid is A = (a+b)/2 times h so (4+8) divided by 2 times 4 = 24

Rectangle is 12*8 = 96

96+24 = 120

6 0
3 years ago
Read 2 more answers
The base pyramid below has a dimension of 16" x 16" a slant height of 17 inches in an altitude of 15 inches find the total surfa
pentagon [3]

Answer:

800 in²

Step-by-step explanation:

Applying,

TSA (A) = Area of the base+ Lateral area of the

A = lw+1/2ps................ Equation 1

Where l = lenght of the base, w = width of the base, p = perimeter of the base, s = slight height of the base.

But,

p = 2(l+w)............. Equation 2

Substitute equation 2 into equation 1

A = lw+1/2[2(l+w)s)

A = lw+s(l+w)............. Equation 3

From the question,

Given: l = 16 in, w = 16 in, s = 17 in

Substitute these values into equation 3

A = (16×16)+17(16+16)

A = 256+544

A = 800 in²

6 0
3 years ago
For the dinner special at a restaurant, the customer must choose an appetizer, a salad, an entree, a side dish, and a dessert. H
Ostrovityanka [42]

Answer:

The number of possible dinner specials are 4368.

Step-by-step explanation:

The number of dinner specials = 5

They include appetizer, a salad, an entree, a side dish, and a dessert.

Possible items to choose from = 16.

They are 1. Appetizer Chicken strips, 2. Shrimp cocktail, 3. Buffalo wings, 4. Potato skins, 5. Salad Garden, 6. Caesar Entree T-bone steak, 7. Pot roast, 8. Lamb Side dish Corn, 9. Rice, 10. French fries, 11. Baked potato, 12. Pinto beans, 13. Dessert Chocolate cake, 14. Brownies, 15. Ice cream, 16. Apple pie

This is a combination problem requiring a combination solution with the following formula and steps:

C (n, r) =? C (n, r) = ?

n choose r

n (objects) =  16

r (sample) =  5

C (n, r) =? C (n, r) = ?

C (n, r) =C (14,5) C (n, r) =C (16,5)

=16! (5! (16−5)!) =16! (5! (16−5)!)

= 4368

3 0
3 years ago
Four square pieces of corkboard are lined up to make a rectangle. The area of the entire corkboard is
Pavel [41]

9514 1404 393

Answer:

  a) attached

  b) 100 square inches, 1/4 of the total

  c) square root of area

  d) multiply by 4

Step-by-step explanation:

a) A diagram is attached

__

b) If the total area consists of 4 squares of the same size, then the area of one square will be 1/4 of the total area. 1/4 of 400 square inches is 100 square inches, the area of one square.

__

c) The area of a square is the square of the side length. You find the side length by finding the square root of the area. √(100 in²) = 10 in, the side length of each square.

__

d) The rectangle is 4 squares laid side by side, so its length is 4 times the side length of one square: 4×10 in = 40 in.

4 0
3 years ago
(2x+3y-4z)-(x-y-z) combine like terms
Fittoniya [83]

Given :-

... ( 2x + 3y - 4z ) - ( x - y - z )

... 2x + 3y - 4z - x + y + z

... x + 4y - 3z is the answer.

Hope it helps!

6 0
3 years ago
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