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11Alexandr11 [23.1K]
3 years ago
15

What is the result of isolating x2 in the equation below?

Mathematics
1 answer:
Alex73 [517]3 years ago
4 0

Answer:

Step-by-step explanation:

X^2=-y^2+10y+5

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A triangular bookself has a base of 10 inches,12 inches and 18 inches. Will the bookself fit in the corner of a square living ro
melisa1 [442]

Answer:

No, if fit means that the sides of the book case need to be flush with the wall, which means that the sides of the bookcase are touching the wall and the bookcase fits perfectly in that spot

Step-by-step explanation:

A square room will have corners that meause 90°, so we need to see if any of the vertices of the bookcase measure 90°.  All right triangles have a 90° in them, so we can use Pythagorean Theorem to solve this.

 Pythagorean Theorem is  a² + b² = c²,    where a and b are the legs, and c is the hypotenuse.  Since the hypotenuse is always the longest side, for our bookshelf, 10 and 12 are the legs, and 18 would be the hypotenuse if it is a right triangle.   Plug the values in to see if the equation is true or false

10² + 12² = 18²

  100 + 144 = 324

     244 ≠ 324   so the bookcase does not form a right angle, and won't fit in the corner of the room

4 0
3 years ago
Perform the indicated operation & simplify. Express the answer as a complex number. ( 6 − 7 i ) ( − 8 + 3 i ) =___
slega [8]

( 6 − 7 i ) ( − 8 + 3 i )

First FOIL:

( 6 − 7 i ) ( − 8 + 3 i )  = -48 + 18i + 56i -21i^2

Combine like terms

                                 = -48 + 74i -21i^2

Convert i^2 = -1

                                 = -48 + 74i -21(-1)

And simplify

                                 = -48 + 74i + 21

                                 = -27 + 74i

6 0
2 years ago
What is the Circumference of a circle if its radius in 15 inches? Please help always a procrastinator in math! Thanks!
Tems11 [23]
Circumference Formula:
C = 2\pi \times R
R = Radius = 15 in

C = 2\pi \times 15
C = 30\pi \: inches

Or C = 94,2 inches
7 0
3 years ago
4 Points
Vladimir [108]

Answer:

35

Step-by-step explanation:

One is given the following function (y=3x+5). The given problem asks one to find the output of the function when the input is (10). Keep in mind, a general rule for dealing with functions is that, when present, the variable (x) represents the input. Whereas the variable (y) represents the output. Thus, if one were to substitute (10) in place of (x), and simplify: the result one would get is the output. Apply this idea to the given scenario:

y=3x+5

y=3(10)+5

y=30+5

y=35

4 0
3 years ago
Is 2(x-5)=5x+23 a true or false equation ​
sergiy2304 [10]
False ......................................
5 0
3 years ago
Read 2 more answers
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