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Scrat [10]
2 years ago
11

Can someone help i don't understand this

Mathematics
1 answer:
Fantom [35]2 years ago
8 0
A) h = 2sqrt2 because for a 45-45-90 triangle both legs have the same measurement and to find the hypotenuse, you would multiply the leg by square root of 2.

b) d = sqrt3 because in order to find the short leg for a 30-60-90 triangle, you would need to divide your long leg by a square root of 3 (if you have the hypotenuse and wanted to find the short leg, divide the hypotenuse by 2).
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leva [86]
The whole equation simplified to one answer is 5
6 0
3 years ago
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Are the two expressions equivalent 5(3x+8) 8x+8 when x=10
Brums [2.3K]

Answer:no

Step-by-step explanation:

5(3(10)+8)

5(30+8)

5(38)=190

8(10)+8

80+8

88

88≠190 so no

7 0
3 years ago
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How to solve this?<br>\int \frac { 4 - 3 x ^ { 2 } } { ( 3 x ^ { 2 } + 4 ) ^ { 2 } } d x​
ivanzaharov [21]

\Large \mathbb{SOLUTION:}

\begin{array}{l} \displaystyle \int \dfrac{4 - 3x^2}{(3x^2 + 4)^2} dx \\ \\ = \displaystyle \int \dfrac{4 - 3x^2}{x^2\left(3x + \dfrac{4}{x}\right)^2} dx \\ \\ = \displaystyle \int \dfrac{\dfrac{4}{x^2} - 3}{\left(3x + \dfrac{4}{x}\right)^2} dx \\ \\ \text{Let }u = 3x + \dfrac{4}{x} \implies du = \left(3 - \dfrac{4}{x^2}\right)\ dx \\ \\ \text{So the integral becomes}  \\ \\ = \displaystyle -\int \dfrac{du}{u^2} \\ \\ = -\dfrac{u^{-2 + 1}}{-2 + 1} + C \\ \\ = \dfrac{1}{u} + C \\ \\ = \dfrac{1}{3x + \dfrac{4}{x}} + C \\ \\ = \boxed{\dfrac{x}{3x^2 + 4} + C}\end{array}

5 0
3 years ago
What is the range of the function y= -|x|
Katen [24]
Hello, again!!

So, the range is the outcome when you plug in any x. In other words, the y.
Because this is absolute value, the x will turn positive. However, the number will then turn negative.
Therefore, y will ALWAYS be negative.

The answer is C.

Hope this helps!! Let me know if you have ANY questions.
4 0
3 years ago
Four more than twice a number is less than negative twelve. Find all numbers that make this statement true.
andreev551 [17]

Answer:

x<-8

Step-by-step explanation:

four more than twice a number = 4+2X

is less than negative twelve = <-12

4+2X<-12

(4-4)+2X< -12-4

2x<-16

X<-8

7 0
3 years ago
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