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3 years ago

12

1.792 x 10^11 What’s the answer?

1 answer:

belka [17]3 years ago

3 0

Answer:

179200000000

Step-by-step explanation:

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Use the Quadratic Formula to solve the equation 4x^2−7=4x.

tino4ka555 [31]

Answer:

$\large\boxed{x=\dfrac{1}{2}-\sqrt2\ or\ x=\dfrac{1}{2}+\sqrt2}$

Step-by-step explanation:

$\text{The quadratic formula of}\ ax^2+bx+c=0:\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

$\text{We have:}\\\\4x^2-7=4x\qquad\text{subtract}\ 4x\ \text{from both sides}\\\\4x^2-4x-7=0\\\\a=4,\ b=-4,\ c=-7\\\\b^2-4ac=(-4)^2-4(4)(-7)=16+112=128\\\\\sqrt{b^2-4ac}=\sqrt{128}=\sqrt{64\cdot2}=\sqrt{64}\cdot\sqrt2=8\sqrt2\\\\x=\dfrac{-(-4)\pm8\sqrt2}{(2)(4)}=\dfrac{4\pm8\sqrt2}{8}\qquad\text{simplify by 4}\\\\x=\dfrac{1\pm2\sqrt2}{2}\to x=\dfrac{1}{2}\pm\sqrt2$

6 0

3 years ago

Choose two number sentences below that equal 39:

Vanyuwa [196]

A, because 71-32 is equal to 39
C, because 85-46 is also equal to 39

7 0

2 years ago

. If there are 20 girls in a class of 30 students, find out the percentage of boys in the class?

Katena32 [7]

Answer:

10

Step-by-step explanation:

because there are 20 girls and 10 boys = 30

4 0

2 years ago

Read 2 more answers

210 students were asked whether they want to go to a water park or a roller skating rink for a class party.

Brrunno [24]

Answer:

60.3

Step-by-step explanation:

hope this helps

4 0

3 years ago

Arrange the steps in the correct order to express cos3x in terms of cosx cos(2x)cos(x)-sin(2x)(x) [1-sin^2(x)]cos(x)-[2sin(x)cos

noname [10]

cos(3x) = cos(2x+x)

= cos(2x) cos (x) -sin(2x)sin(x)

$=(1-2sin^2(x)) cos(x)-(2 sin(x) cos(x)) sin(x)$

$= cos x -2sin^2(x) cos(x) -2sin^2(x) cos(x)$

$= cos(x) - 4 sin^2(x) cos(x)$

$cos(x)(1-4sin^2(x))$

$=cos(x(1-4(1-cos^2(x))$

$=cos(x)(1-4+4cos^2(x))$

$= cos(x)-4cos(x)+4cos^3(x)$

$=-3cos(x)+4cos^3(x)$

4 0

3 years ago