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Andreas93 [3]
3 years ago
10

Find three consecutive odd integers such that the sum of the largest and twice the smallest is 25,

Mathematics
1 answer:
rusak2 [61]3 years ago
4 0

Answer:

Step-by-step explanation:

If the smallest integer is x, the next odd number would be x + 2, and the largest would be x + 4.  The sum of the largest (x+4) and twice the smallest (2x) is 25.  The equation for that would be (x+4)+2x=25 which is 3x + 4 = 25.  Not sure how far you have to go with it.  But that equation could be solved for x.

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If x = 5 units, y = 6 units, and h = 6 units, find the area of the trapezoid shown above using decomposition. A. 102 square unit
Kitty [74]

Answer:

C. 66 square units

Step-by-step explanation:

The area of the middle rectangle would by base × height, or y × h, or 6 × 6.

The area is 36.

The area for one triangle would 1/2 × base × height.

(But since there are two triangles to solve for, the 1/2 is not necessary, and we can just do base × height again.)

So, it would be x × h, or 5 × 6.

The area is 30.

Combine both areas to get the whole area of 66 units²

3 0
2 years ago
Simplify the expression:<br> 5(-1 + x) =
mamaluj [8]

Answer:

5x-5

Step-by-step explanation:

hope this helped!

6 0
3 years ago
Read 2 more answers
How do you find the middle term of a perfect square trinomial?
Lyrx [107]

Answer:

Take the square root of the constant (number w/o the variable) and then multiply that by 2.

Step-by-step explanation:

A perfect square trinomial is something like this: x^{2} +6x+9. If I have 6x, and I want to find the last term I would take half a six and then square it to get 9.

SO.... To get the middle term of a perfect square trinomial, you would need to do the reverse.. So...

1) Take the square root of the constant...

2) Multiply that by 2

4 0
3 years ago
Write an equation for the line that is parallel to the given line and that passes through the given point. y = –6x + 2; (–1, 2)
kap26 [50]
Parallel=same slope
Y=mx+b
Sub in the slope and point to solve for b
2=-6(-1)+b
2=6+b
2-6=b
-4=b
The equation is y=-6x-4; the answer is B
Hope this helps!
6 0
3 years ago
Please help with areas
Softa [21]

Answer:

Step-by-step explanation:

7) The formula for determining the area of a parallelogram is expressed as

Area = base × height.

Length of base = Area/height

Therefore,

Length of base = 7/2 = 3.5 feet

8) The formula for determining the area of a trapezoid is expressed as

Area = 1/2(a + b)h

Where

a and b are the length of the bases

h is the height. Therefore

21 = 1/2(2 + 4)h

21 = 3h

h = 21/3 = 7 inches

9) Area = base × height.

Height = Area/Length of base

Height = 28/14 = 2 inches

10) a and b are 10 inches each.

Area = 1/2(a + b)h

Therefore,

35 = 1/2(10 + 10)h

35 = 10h

h = 35/10

h = 3 inches

7 0
3 years ago
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