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iren [92.7K]
3 years ago
6

the sum of the square of a positive number and the square of 3 more than the number is 17 what is the number

Mathematics
1 answer:
Advocard [28]3 years ago
4 0

Answer:

  1

Step-by-step explanation:

Let x represent the number. The given relation is ...

  x² +(x+3)² = 17

  2x² +6x +9 = 17 . . . . simplify

  x² +3x -4 = 0 . . . . . . subtract 17 and divide by 2

  (x +4)(x -1) = 0 . . . . . factor

The solutions make these factors zero: -4 and +1. The positive solution is 1.

The number is 1.

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if angle 1 and angle 4 are supplementary which theorem leads to the conclusion that a is parallel to s​
Lubov Fominskaja [6]

Answer:

Supplementary Angle's Theorem

Step-by-step explanation:

The supplementary angle theorem states that if two angles are said to be supplementary to the same angle, then the two angles are said to be congruent.

7 0
3 years ago
How do I find the missing value
liberstina [14]
Okay. Since the "y" value and 82* are on the same straight line, their values will always add up to make a sum of 180. So if you subtract 82 from 180 you get 98*. So your "y" value is equal to 98*.

Now, all of the degree values added together should give you a sum of 360, so now we must add the values we know, in order to find the "x" value. So, 112*+82*+98*=292. Now we know that the difference of 360 and 292 will give us the x value. So finally, 360-292=68. So your "x" value is equal to 68.

y=98
x=68
6 0
3 years ago
Write 0.125 as if it was 2 to a power
Westkost [7]

Answer:

2^{-3}

Step-by-step explanation:

0.125 as a fraction is 125/1000 or 1/8

  • 1 is the same as 2^{0} (anything to the power of 0 is 1)
  • 8 is the same as 2³ (2 × 2 × 2 = 8)
  • 2^{0} ÷ 2³ = 2^{-3} (You subtract the powers: 0 - 3 = -3)

Hope this helps!

4 0
3 years ago
Solve the equation: f(x) = 3r - 2x +5
Aleks04 [339]
X= 3r+5/2 is the answer I believe
4 0
3 years ago
I = Prt
Olegator [25]

Answer:

r=3.5\%

Step-by-step explanation:

we know that

The simple interest formula is equal to

I=P(rt)

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=5\ years\\ P=\$1,200\\ I=\$210\\r=?

substitute in the formula above

210=1,200(5r)

solve for r

r=210/6,000

r=0.035

convert to percentage (multiply by 100)

r=3.5\%

6 0
3 years ago
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