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arlik [135]
3 years ago
11

Given the three side lengths, how can you tell if a triangle is a right triangleWhich scenario cannot be modeled by a right tria

ngle?
A 13-foot ladder is placed 5 feet away from a wall. The distance from the ground straight up to the top of the wall is 12 feet.
Wendy leaves school to go home. She walks 60 yards north and then 80 yards west. She is 10 yards from the school.
The dimensions of a triangular-shaped garden are 28 yards, 53 yards, and 45 yards.
A Babylonian writing mentioned a triangle with side lengths 120, 169, and 119.
Mathematics
2 answers:
Flauer [41]3 years ago
5 0

if the sides satisfy the pythagorean’s theorem(a^2+b^2 = c^2). a and b being the legs and c being the hypotenuse. just plug in and solve. :)3.......................................

zzz [600]3 years ago
3 0

Answer:

B

Step-by-step explanation:

A right-triangle obeys the Pythagorean relationship where the sum of squares of two sides equal the square of the other side.

In A; 12²+5²=13²

In B; 60²+80²=100² NOT 10²

In C; 28²+45²=53²

In D; 120²+119²=169²

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3^2 - 2x + 4 and g(x) = 5x^2 + 6x - 8 find f-g(x)
sveta [45]

Answer:

For the given functions f(x) and g(x) (f-g)(x) = -2x^{2}  - 8x +12

Step-by-step explanation:

Here, the given function are:

f(x)  = 3x^{2}  - 2x+ 4\\g(x) = 5x^{2}  + 6x -8

Now, simplifying for (f-g)(x)  =  f(x) -  g(x):

f(x) - g(x)  = (3x^{2}  - 2x+ 4) - (5x^{2}  + 6x -8)

 = 3x^{2}  - 2x+ 4- 5x^{2}  - 6x +8

Doing operation on LIKE TERMS,  we get

f(x) -  g(x) = ( 3x^{2}- 5x^{2})   + (-2x - 6x)  +( 4 +8) = -2x^{2}  - 8x + 12

Hence, for the given functions f(x) and g(x) (f-g)(x) = -2x^{2}  - 8x +12

4 0
3 years ago
If you apply the changes below to the absolute value parent function, f(x) = [xl,
TEA [102]

Answer: g(x)=|x+8|-3

Questions please feel free to ask. Thanks

7 0
3 years ago
(2) The population density of a region in Alaska is 3,000 people/200 mi? Which of the
Vesna [10]

Answer:

15 people/mi

Step-by-step explanation:

The population density of a region in Alaska is 3,000 people/200 mi.

We need to find the equivalent to the population density of this Alaskan region.

x=\dfrac{3000\ \text{people}}{200\ \text{mi}}\\\\x=\dfrac{30\ \text{people}}{2\ \text{mi}}\\\\x=\dfrac{15\ \text{people}}{\text{mi}}

So, the correct option is (c) "15 people/mi"

8 0
2 years ago
Which statement belongs in Step 4?
Gala2k [10]

Answer:

Step-by-step explanation:

TQ = QR

Ray t bisects TR. TR is divided into  two equal parts

3 0
3 years ago
A frost has caused a temporary spike in the price of orange juice. the price is now $10 a gallon. before the frost, the price wa
Tema [17]
It is $6 more now than before...maybe you were looking for percent increase?

%change=100(final-initial)/initial

%change=100(10-4)/4=150% increase
3 0
3 years ago
Read 2 more answers
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