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Olenka [21]
2 years ago
8

Find the length of the altitude drawn to the hypotenuse.

Mathematics
1 answer:
loris [4]2 years ago
3 0

Answer:

A. 4 \sqrt{5}

Step-by-step explanation:

By geometric mean theorem:

Length of altitude

=  \sqrt{5 \times 16}  \\  =  \sqrt{5 \times  {4}^{2} }  \\  = 4 \sqrt{5}

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Which of the following constants can be added to x2 - 3x to form a perfect square trinomail?
serious [3.7K]

The constant that can be added to x^2 - 3x to form a perfect square trinomial is 2\frac{1}{4}

The given expression is

x^2 - 3x

To form a perfect square trinomial

(a-b)^2 =a^2-2ab+b^2

The given expression is

x^2 - 3x

first we have to add a constant term with it

x^2 - 3x + z

By comparing the given expression and the perfect square trinomial

a^2 =x^2

a = x

Similarly

-2ab = 3x

where know a =x

Then,

-2b = 3

b = -3/2

Similarly

b^2 = z

(\frac{-3}{2})^2 = z

9/4 = z

Convert the simple fraction to mixed fraction

9/4 = 2\frac{1}{4}

Hence, the constant that can be added to x^2 - 3x to form a perfect square trinomial is 2\frac{1}{4}

The complete question is :

Which of the following constants can be added to x2 - 3x to form a perfect square trinomial?

1\frac{1}{2},2\frac{1}{4} and 4\frac{1}{2}

Learn more about perfect square trinomial here

brainly.com/question/16615974

#SPJ1

4 0
11 months ago
Simplify the algebraic expression. -2(x - 5) + 4(9 + x)
AnnZ [28]

Answer:

2x+46

Step-by-step explanation:

-2(x-5)+4(9+x), Multiply

-2x+10+36+4x, Combine like terms

Simplified= 2x+46

5 0
3 years ago
Help me please I need this now
puteri [66]
192!
you do length times width times height
hope this helps
4 0
3 years ago
Plz help me I dont get it
wlad13 [49]
So you have to decrease £30 by 20%

To do this, an easy way would be to first take away 100% from 20% because you are DECREASING :
100 - 20 = 80

Then divide your answer by 100 :
80 / 100 = 0.8

This means 0.8 is going to be your multiplier so you do
0.8 * 30 = 24

Answer = £24
5 0
3 years ago
What is the value of y in the equation 6 + y = −3?
oee [108]
The value of y is -9
6 0
3 years ago
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