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almond37 [142]
3 years ago
14

Please answer 15 POINTS

Mathematics
2 answers:
algol133 years ago
8 0

Answer:

b i believe

Step-by-step explanation:

skelet666 [1.2K]3 years ago
8 0
___________B__________________
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A positive real number is 2 less than another. When 4 times the larger is added to the square of the smaller, the result is 49.
Kobotan [32]

Answer:

The numbers are

-2+3\sqrt{5}   and 3\sqrt{5}

Step-by-step explanation:

Let

x -----> the smaller positive real number

y -----> the larger positive real number

we know that

A positive real number is 2 less than another

so

x=y-2

y=x+2 ----> equation A

When 4 times the larger is added to the square of the smaller, the result is 49

so

4y+x^2=49 ----> equation B

substitute equation A in equation B

4(x+2)+x^2=49

solve for x

x^2+4x-41=0

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

x^2+4x-41=0

so

a=1\\b=4\\c=-41

substitute in the formula

x=\frac{-4\pm\sqrt{4^{2}-4(1)(-41)}} {2(1)}

x=\frac{-4\pm\sqrt{180}} {2}

x=\frac{-4\pm6\sqrt{5}} {2}

x=-2\pm3\sqrt{5}

so

The positive real number is

x=-2+3\sqrt{5}

Find the value of y

y=x+2

y=-2+3\sqrt{5}+2

y=3\sqrt{5}

6 0
3 years ago
Can someone explain to me what 7.1 x 10^-3 is in standard form?
tiny-mole [99]

71000 is in the standard form of 7.1 x 10^-3 .

Step-by-step explanation:

I wish if I could explain you with steps but this is the question I've never done with steps. I always give direct answers from those questions !!

3 0
3 years ago
A.1.5
telo118 [61]

Answer:

x=50 y=10

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Question 5 :)) What is the measure of the missing angle?​
Stella [2.4K]
The answer is 115 because the interior angle is 65 and 115 plus 65 is 180. You want 180 because the angles are opposite and make a straight line
6 0
3 years ago
Which is equal to the product of HJ?
jok3333 [9.3K]
H = 1st row   4 -2  5
       2nd row 6  1 -3

J = 1st column 7 3 8

1st row and 1st column:  4*7 + -2*3 + 5*8 = 28 - 6 + 40 = 62
2nd row and 1st column: 6*7 + 1*3 + -3*8 = 42 + 3 - 24 = 21

Answer is 2nd option. 62 and 21.

7 0
3 years ago
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