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exis [7]
3 years ago
6

Evaluate the algebraic expression 18 + (- 31) =

Mathematics
1 answer:
frosja888 [35]3 years ago
8 0

Answer:

-13

Step-by-step explanation:

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What is the standard form of 5x^2+5y^2-10x+20y-30=0
o-na [289]

5x^2+5y^2-10x+20y-30=0

We need to get the equation in square form

We apply completing the square method

5x^2-10x+5y^2+20y-30=0

Divide all the terms by 5

x^2-2x+y^2+4y-6=0

Group x  terms and y terms separately  

(x^2-2x)+(y^2+4y)-6=0

By completing the square method, we take half of coefficient of x  and square it

\frac{-2}{2} = -1

square it (-1)^2= 1

Add 1 on both sides

(x^2-2x+1)+(y^2+4y)-6=+1

\frac{4}{2} = 2

square it (2)^2= 4

Add 4 on both sides

(x^2-2x+1)+(y^2+4y+4)-6=0+1+4

Add 6 on both sides

(x^2-2x+1)+(y^2+4y+4)=6+1+4

Now factor both parenthesis

(x-1)^2+(y+2)^2=11

The equation of the circle is (x-1)^2+(y+2)^2=11

7 0
4 years ago
What value of c makes the expression equal a number less than 3 ?
goldfiish [28.3K]

Answer: it A

Step-by-step explanation:

5 0
3 years ago
The coordinates of point E are (−9, −5) and the coordinates of point F are (−2, −1) .
Ksenya-84 [330]
-1+5
--------. =
-2+9

-4
----- = 7/4
7
8 0
4 years ago
GIVING 100 POINTS!!! An observer (O) is located 900 feet from a building (B). The observer notices a helicopter (H) flying at a
slamgirl [31]

Answer:

1035.33 feet

Step-by-step explanation:

OBH is a triangle and the sum of the angles of a triangle = 180

∠OBH = 90°

∠OHB = 180 -(49 + 90) = 41°

The law of sines that the ratio of each side of a triangle to the sin of the angle opposite it is the same

Thus

A/sinα  = B/sinβ = C/sinγ

where A, B and C are the three sides of the triangle and α, β, γ corresponding respectively to the angles opposite them.

Using the law of sines  

\frac{OB}{sin 41}  = \frac{BH}{sin49}

Therefore BH which is the height the helicopter is flying at is

BH = OB \frac{sin49}{sin41}

≈   1035.33 feet

8 0
2 years ago
Read 2 more answers
The following graph of f(x)=x2 has been shifted into the form f(x)=(x-h)2+k
EastWind [94]
K is the y coordinate of the vertex   which is -2.
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3 years ago
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