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Veseljchak [2.6K]
3 years ago
8

The hypotenuse of a 45°-45°-90° triangle measures 128 cm.

Mathematics
1 answer:
PtichkaEL [24]3 years ago
6 0

Good evening ,

______

Answer:

None of them is correct.

___________________

Step-by-step explanation

We have to solve the equation:

x²+x²=128² ⇔ 2x²=128² ⇔ x²=128²/2 ⇔ x=128/(√2) ≈ 90,5.

:)

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F(x) = <img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%2B7%7D%20-%5Csqrt%7Bx%5E2%2B2x-15%7D" id="TexFormula1" title="\sqrt{x+7} -\
elena-s [515]

Answer:

x >= -7  ................(1a)

x >= 3   ...............(2a1)

Step-by-step explanation:

f(x) =  \sqrt{x+7}-\sqrt{x^2+2x-15}  .............(0)

find the domain.

To find the (real) domain, we need to ensure that each term remains a real number.

which means the following conditions must be met

x+7 >= 0  .....................(1)

AND

x^2+2x-15 >= 0 ..........(2)

To satisfy (1),  x >= -7  .....................(1a) by transposition of (1)

To satisfy (2), we need first to find the roots of (2)

factor (2)

(x+5)(x-3) >= 0

This implis

(x+5) >= 0 AND (x-3) >= 0.....................(2a)

OR

(x+5) <= 0 AND (x-3) <= 0 ...................(2b)

(2a) is satisfied with x >= 3   ...............(2a1)

(2b) is satisfied with x <= -5 ................(2b1)

Combine the conditions (1a), (2a1), and (2b1),

x >= -7  ................(1a)

AND

(

x >= 3   ...............(2a1)

OR

x <= -5 ................(2b1)

)

which expands to

(1a) and (2a1)   OR  (1a) and (2b1)

( x >= -7 and x >= 3 )  OR ( x >= -7 and x <= -5 )

Simplifying, we have

x >= 3  OR ( -7 <= x <= -5 )

Referring to attached figure, the domain is indicated in dark (purple), the red-brown and white regions satisfiy only one of the two conditions.

3 0
3 years ago
Read 2 more answers
HELP PLEASE ASAP..........
Usimov [2.4K]
Volume = l x w x h
180 = l (5 x 4)
180 = 20 l
6 = l

That means that the couch will fit, because the length of the van is 6 ft, which is also the length of the couch.
6 0
3 years ago
Which statement correctly explains how kasi could find a solution to the following system of linear equations using elimination
jarptica [38.1K]

A. She can multiply the bottom equation by -4 and then add the equations to solve for h.

-4g - 15h = -17

4g - 20h = -52

Add them to get

-15h = -17

-20h = -52

From here, you can solve for h.

5 0
3 years ago
Read 2 more answers
Which expression is a polynomial
patriot [66]

Answer:

4x^3-2x^2+5x-6+\frac{1}{x} is a polynomial

Step-by-step explanation:

a polynomial is a set of numbers with multiple terms that are not simplify able

9x^7y^{-3} z is not a polynomial because its actually one term, there is no addition/subtraction of different terms.

-13 is a single number, so not a polynomial

13x^-2 is also a single number, not a polynomial

8 0
3 years ago
Turn and Talk How are solving 2x + 4 = 20 and 2x - 4 = 20 alike? How are they different?​
hjlf

Answer:

they are both alike because you're dividing both equations by 2 . in both equations you're trying to get the variable by itself .

they are both different because both of the equations have a different x= . in equation 1 you subtract and in equation 2 you would add .

Step-by-step explanation:

For 2x+4=20 you would make +4 negative 4 to get the variable by itself .

then you'd subtract the numbers 20-4=16

then divide both sides by 2 2÷2 and 16÷2

x=8 is your answer

for 2x-4=20 you would make -4 and make it positive 4 to get the variable by itself

then you'd add the numbers 20+4

then divide both sides by 2 2÷2 and 24÷2

x=12

4 0
2 years ago
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