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Levart [38]
2 years ago
11

Pls help me i will mark as brilliantpls write the step​

Mathematics
1 answer:
djyliett [7]2 years ago
4 0

1a) Firstly, lets start by expanding the brackets. x × x is x². So x(x+1) = x² + x. Then we do the second part. 2 × x = 2x and 2 × 1 = 2. Now we have

x² + 3x + 2.

Now what we do is simplify through quadratic formula. We look at the last digit which is 2. What two numbers multiplies to give you 2? 2 and 1. 2 x 1 = 2 and 2 + 1 = 3. Our second number is 3 so this is the right amount. so now we just put the two factors together. (x + 1)(x+2). This is the answer.

b) I have explained above and so am just gonna write the answers. After expanding we get x² + 2x + 1. We get simplify to

= (x + 1)(x+1)

c) y² + 3y + 4. This cannot be simplified into the format so we leave it like this.

d) = 0.

Have a go at the last ones by yourself, if you still need help, I am available!

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6.Madeline made the wooden steps shown. What is the volume of the steps? The wooden steps have two parts, both of which are rect
Lelu [443]

Answer:

840 cubic inches

Step-by-step explanation:

Given:

The wooden steps have two parts.

Both of which are rectangular prisms.

The top part is 6 inches tall, 5 inches wide and 10 inches long.

The bottom part is 6 inches tall, 9 inches wide and 10 inches long.

Question asked:

What is the volume of the steps?

Solution:

<u>For top part</u>

Length = 10 inches

Width = 5 inches

Height = 6 inches

<u><em>As we know:</em></u>

<u><em /></u>Volume\ of\ rectangular\ prism =length\times width\times height

                                                 =10\times5\times6=300\ cubic\ inches

<u>For bottom part</u>

Length = 10 inches

Width = 9 inches

Height = 6 inches

Similarly

Volume\ of\ rectangular\ prism =length\times width\times height

                                                 =10\times9\times6=540\ cubic\ inches

Volume of two steps = 300 + 540 = 840 cubic inches

<em>Therefore, the volume of the steps are 840 cubic inches.</em>

<em></em>

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-10 + 4 = 2a

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8 0
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