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3 years ago

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

$x=y-2$

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

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

$4y+x^2=49$ ----> 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

$x^2+4x-41=0$

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

substitute in the formula

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

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

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

$x=-2\pm3\sqrt{5}$

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