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rosijanka [135]
3 years ago
8

Simplify (2x+3y)+(7x-3y)

Mathematics
2 answers:
dsp733 years ago
7 0
(2x + 3y) + (7x - 3y)
(2x + 7x) + (3y - 3y)
9x + 0y
9x
Radda [10]3 years ago
3 0
(2x+3y)+(7x-3y) First, group like terms together, so (2x+7x) + (3y-3y). Then simplify within the parentheses. 2x+7x = 9x and 3y-3y = 0, so you have 9x, which cannot be simplified any further. The answer is 9x.
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A triangular pyramid has the same base and height as a triangular prism. The volume of the pyramid is 26 cubic centimeters. What
LUCKY_DIMON [66]
The formula for the volume of a triangular pyramid is:

V=1/3AH (where A=area of the base and H=height)

The formula for the volume of a triangular prism is:

V=AH (where A=area of the base and H=Height)

Since the base and the height are the same in this problem for both the prism and the pyramid, solving for the volume of the prism is simple.

Looking at the formulas, you'll see that the volume of the pyramid (assuming that both the height and the area of the base are the same) is 1/3 the volume of the prism.

V(pyramid)=1/3V(prism)

Now lets input the volume of the pyramid

26cm³=1/3 V(prism)
Divide both sides by 1/3
78cm³=V(prism)

Answer=78cm³
8 0
3 years ago
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A carpenter has a rectangular wooden board. The diagonal of the board is 18 inches long and one side of the board is 12 inches l
BaLLatris [955]

In this question, it is given that the diagonal of the board is 18 inches long and one side of the board is 12 inches long.

Let the other side is of length b inches .

Now we use pythagorean identity, which is

a^2 + b ^2 = c^2

Here, a = 12 and c=18

Substituting these values, we will get

12^2 + b^2 = 18^2 \\ 144 + b ^2 = 324 \\ b^2 = 324-144 \\ b^2 = 180 \\ b= \sqrt{180} \\ b = 13.4164 inches

And the formula of perimeter is

Perimeter = 2(Sum\ of \ legs)

Substituting the values of the two legs, we will get

Perimeter = 2(12+13.4164) = 50.83 inches


3 0
3 years ago
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How to solve a system of two linear equations:
antiseptic1488 [7]

Answer:

Step-by-step explanation:

...

5 0
2 years ago
−1 ≤ x/-4 − 3<br><br>Solve the inequality. Show all steps.
makkiz [27]

Answer:

≤ − 8

Step-by-step explanation:

-1 ≤ \frac{x}{-4} -3

4 ×(-1) ≤ 4 × \frac{x}{-4} -4×3

-4 × (-1) ≤ -x - 4×3

-4 ≤ -x - 12

x ≤ -12 + 4

x ≤ -8

4 0
2 years ago
What is a reasonable estimate for the product 43 times 68
dsp73
43 times 68.

43
x68

8 times 3 is 24. Bring the 2 over the 4.
8 times 4 is 32. Add 4. Equals 36.
Answer so far is 364.

Add a 0 before answering.
3 times 6 is 18. Bring the 1 over the 4.
4 times 6 is 24. Add 4. Equals 28.
Answer so far is 288

Add 364 + 288
Final answer is 652.
7 0
3 years ago
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