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valina [46]
3 years ago
13

P = 4x + 3yx = 5y=-2(a) Work out the value of P.(b) Expand 4e(e + 2)​

Mathematics
1 answer:
Lunna [17]3 years ago
5 0

Answer:

P=4×5+3×-2

P= 20x-6y

4e²+8e

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If y varies directly as x, what happens to x if y increases?
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Answer:

Hi! If y varies directly as x, then k=y/x. If this is the case then, as y increases, x should increase also by the same factor.

Step-by-step explanation:

1. y varies directly as x: k=y/x or y=x*k; K is the constant or the factor that dictates the increase or decrease of y or x.

Hopefully that makes since! There is a good article on SparkNotes that explains this concept better I think.

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Find the volume of the rectangular prism <br> 7in 7in 6in
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294

Step-by-step explanation:

7x7=49

49x6=294

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(2b) A rectangular prism measures 2 &amp; 2/5 inches by 3 &amp; 1/5 inches by 2 inches. How many cubes with edge length 1/5 inch
erastova [34]

Answer:

1920 cubes.

Step-by-step explanation

Turn both the mix numbers into improper fractions.

2 2/5 = 12/5

3 1/5 = 16/5

Then you will turn 1/5 into its reciprocal and multiply both the improper fractions by it. You can just casually multiply 2 and 5.

12/5 * 5/1 = 12

16/5 * 5/1 = 16

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Next you multiply all together to get 1920 cubes.

(I could be missing a step. I apologize if I did.)

3 0
3 years ago
Explain why the triangles are similar. Then find the missing length, x. 5 m 8 m 4 m 10 m X 6 m Choose the reason that the triang
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Answer:

A. Both triangles contain right angles and a corresponding angle of equal measure. Thus, two angles of the large triangle are equal in measure to two angles of the small triangle

x = 3 m

Step-by-step explanation:

The figure given shows two right angles triangles having corresponding angles that are congruent and of the same measure.

If we find the ratios of their given corresponding side lengths, their ratios would be the same.

Thus: ratio of the side of the smaller ∆ to the larger ∆ = 4:8 = 5:10 = 4/8 = 5/10 = ½

½ is the scale factor. Therefore, both triangles are similar.

To find x, multiply the corresponding side length of the other triangle by the scale factor.

x corresponds to side length that is 6 m in the other triangle.

Therefore,

x = 6*½ = 3 m

6 0
3 years ago
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