Find the missing sides of the given similar triangle

Mathematics

1 answer:

tiny-mole [99]3 years ago

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Factor completely h^3+2h^2-9h-18

guapka [62]

Step 1: Group this into two groups:

$h^3 + 2h^2-9h-18=(h^3 + 2h^2)+(-9h-18)$

When you do that, be sure to group the "–" into the group with the 9 and make sure there's "+" between the groups.

Step 2: Factor out the GCF from both individual groups:

$(h^3 + 2h^2)+(-9h-18) = h^2 (h+2) -9(h+2)$

Step 3: Notice both groups have that (h+2)? That's a new GCF between the two groups, so factor that out:

$h^2 (h+2) -9(h+2) = (h+2)(h^2-9)$

Step 4: That $(h^2-9)$ piece can be factored further, since it's a difference of squares:

$(h+2)(h^2-9) = (h+2)(h+3)(h-3)$

Now it's factored.

8 0

2 years ago

Number of sides of shape: _5<br>Number of degrees inside:<br>

Gwar [14]

Answer:

Step-by-step explanation:

The sum of the interior angles of a polygon with n side is

$180(n-2)$

So, for a polygon with 5 sides the expression is

$180\cdot 3 = 540$

5 0

3 years ago

Michael can spend a maximum of $234 on office supplies. Each ream of paper costs $6. Each ink cartridge costs $18. Which of the

Mashutka [201]

There is no graph in your question. If p is number of reams of paper, and c is number of ink cartridges, then

3p + c = 234, wich p and c natural numbers (including 0)

This means that 13 ink cartridges and 0 paper will satisfy the end amount, but also 0 ink cartridges and 39 paper. There are 14 combinations possible.

5 0

3 years ago

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Simplify: 2k– 3k+ 3k

Sonbull [250]

Step-by-step explanation:

2k - (3k - 3k) = 2k

please give me a brainliest answer

7 0

2 years ago

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