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Elodia [21]
3 years ago
13

Factor the following expression: x2-4x-21

Mathematics
1 answer:
natka813 [3]3 years ago
3 0

Answer:

(x − 7)(x + 3)

Step-by-step explanation:

Step 1: You need to find out what to numbers add up to −4 and multiply −21?

−7 and 3

Step 2: Just rewrite the expression using the above and you're done!

(x − 7)(x + 3)

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Find the lengths of the missing side . Simplify all radicals !!!<br> help mee!!!!!!
larisa86 [58]

Answer:

e = 13\sqrt{2}

f = 13\sqrt{2}

Step-by-step explanation:

The ∆ given is an isosceles ∆ with a right angle measuring 90°, and two congruent angles measuring 45° each.

Using trigonometric ratio formula, we can find the lengths of the missing side as shown below:

Finding e:

sin(\theta) = \frac{opp}{hyp}

sin(\theta) = sin(45) = \frac{\sqrt{2}}{2}

hyp = 26

opp = e = ?

Plug in the values into the formula

\frac{\sqrt{2}}{2} = \frac{e}{26}

Multiply both sides by 26

\frac{\sqrt{2}}{2}*26 = \frac{e}{26}*26

\frac{\sqrt{2}}{2}*26 = e

\frac{\sqrt{2}}{1}*13 = e

13\sqrt{2} = e

e = 13\sqrt{2}

Since side e is of the same length with side f, therefore, the length of side f = 13\sqrt{2}

3 0
3 years ago
Is -12.161616 rational
Mars2501 [29]

Answer:

depends

Step-by-step explanation:

If you mean just -12.161616, then it’s rational.

If you mean recurring decimal, then it’s not.

8 0
3 years ago
The area of a square is 128x3y4 cm2. What is the length of one side of the square in simplest form
AlekseyPX

Answer:

We know that the area of the square of side length L is:

A = L*L = L^2

In this case, we know that the area is:

A = 128*x^3*y^4 cm^2

Then we have:

L^2 = 128*x^3*y^4 cm^2

If we apply the square root to both sides we get:

√(L^2) = √( 128*x^3*y^4 cm^2)

L = √(128)*(√x^3)*(√y^4) cm

Here we can replace:

(√x^3) = x^(3/2)

(√y^4)  = y^(4/2) = y^2

Replacing these two, we get:

L = √(128)*x^(3/2)*y^2 cm

This is the simplest form of L.

7 0
3 years ago
M<br> x-2<br> 20<br> L<br> Find the value of x.<br><br><br> A.2<br> B.4<br> C.6<br> D.8
valentina_108 [34]

Answer:

X=4

Step-by-step explanation:

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3 0
2 years ago
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Answer:

a

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