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Lelu [443]
2 years ago
14

What type of triangle is shown below check all that apply

Mathematics
2 answers:
zimovet [89]2 years ago
4 0

obtuse triangle.

obtuse triangle

sineoko [7]2 years ago
3 0

Answer:

The first image is an Isosceles Triangle and Acute

Step-by-step explanation:

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Which statement describes the inverse of m(x) = x^2 – 17x?
DochEvi [55]

Given:

The function is

m(x)=x^2-17x

To find:

The inverse of the given function.

Solution:

We have,

m(x)=x^2-17x

Substitute m(x)=y.

y=x^2-17x

Interchange x and y.

x=y^2-17y

Add square of half of coefficient of y , i.e., \left(\dfrac{-17}{2}\right)^2 on both sides,

x+\left(\dfrac{-17}{2}\right)^2=y^2-17y+\left(\dfrac{-17}{2}\right)^2

x+\left(\dfrac{17}{2}\right)^2=y^2-17y+\left(\dfrac{17}{2}\right)^2

x+\left(\dfrac{17}{2}\right)^2=\left(y-\dfrac{17}{2}\right)^2        [\because (a-b)^2=a^2-2ab+b^2]

Taking square root on both sides.

\sqrt{x+\left(\dfrac{17}{2}\right)^2}=y-\dfrac{17}{2}

Add \dfrac{17}{2} on both sides.

\sqrt{x+\left(\dfrac{17}{2}\right)^2}+\dfrac{17}{2}=y

Substitute y=m^{-1}(x).

m^{-1}(x)=\sqrt{x+(\dfrac{189}{4}})+\dfrac{17}{2}

We know that, negative term inside the root is not real number. So,

x+\left(\dfrac{17}{2}\right)^2\geq 0

x\geq -\left(\dfrac{17}{2}\right)^2

Therefore, the restricted domain is x\geq -\left(\dfrac{17}{2}\right)^2 and the inverse function is m^{-1}(x)=\sqrt{x+(\dfrac{189}{4}})+\dfrac{17}{2}.

Hence, option D is correct.

Note: In all the options square of \dfrac{17}{2} is missing in restricted domain.

7 0
3 years ago
Solve each system by elimination.
max2010maxim [7]

Answer:

Step-by-step explanation:

-x-2y+4z=-14

x=-2y+4z+14

2x+2y+2z=-6

2x=-2y-2z-6

x= -y-z-3

-x-6z=-3

x=3-6z

8 0
3 years ago
What is the maximum volume of a square pyramid that can fit inside a cube with a side length of 14 cm?
sukhopar [10]

Answer:

Step-by-step explanation:

Pyramid height should be 14

Base area should be 14*14(196)

So, Base area is 196

1. Multiply the Base area by the height of the pyramid:

196*14=2744

2. Divide the number above by 3:

2744/3=914.7

7 0
2 years ago
Find the midpoint of the line segment joining the points (6,1) and (-2, -1).
tiny-mole [99]

Step-by-step explanation:

By the formula of slope, we have

( \frac{y  _{2}  - y_{1} }{x _2 - x _{1} }) \\ (  \frac{ - 1 - 1}{ - 2 - 6}  ) \\ ( \frac{ - 2}{ - 8} ) \\ (  \frac{1}{4} )

5 0
3 years ago
Read 2 more answers
Simplify <br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%5E%7B2%7D%20%2B%2012x%20%2B%2036%20%7D%7Bx%5E%7B2%7D%20%2B%204x%20
kolbaska11 [484]

Answer:

(x-2)/(2x+8)

Step-by-step explanation:

The first step to solve this expression is to use a² - 2a b + b² = (a - b)² to factor the expression

Factor out 2 from the expression

Write 2x as a difference

Factor out x from the expression

Factor out -2 from the expression

Factor out x + 4 from the expression

Reduce the fraction with x - 2

Finally,, distribute 2 through the parenthesis to find your answer

This means that the correct answer to your question is (x-2)/(2x+8)

3 0
3 years ago
Read 2 more answers
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