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2 years ago

How do I get the answer for this quadratic equation in simplest form?

Mathematics

1 answer:

konstantin123 [22]2 years ago

3 0

Answer:

x = 7 ± $\sqrt{15}$

Step-by-step explanation:

Given

4(x - 7)² - 48 = 12 ( add 48 to both sides )

4(x - 7)² = 60 ( divide both sides by 4 )

(x - 7)² = 15 ( take the square root of both sides )

x - 7 = ± $\sqrt{15}$ ( add 7 to both sides )

x = 7 ± $\sqrt{15}$

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F(x)=x^2+3; g(x)=x+4<br> find (fog)(-2)

AnnyKZ [126]

(Fog) = f(g(x))
g(-2)=-2+4=2
f(2)=2^2 +3 = 4+3 =7

5 0

3 years ago

Which polynomial is equal to (x + 1)(2x + 1)

VladimirAG [237]

Answer:

2x^2+3x+1

Step-by-step explanation:

FOIL

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2 years ago

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Please I need help with this and show your steps

Lorico [155]

Answer:

-30/15 or -2

Step-by-step explanation:

2+8 = 10

3+2 = 5

14-2 = 12

4-1 = 3

10/5 - 12/3

(Find GCF)(GCF = 15)(5 times 3)

30/15 (10/5 times 3)

60/15 (12/3 times 5)

30/15 - 60/15 = -30/15 --> -2(simplified to 2)

7 0

2 years ago

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NEED HELP ! 20 POINTS

prohojiy [21]

If $z=1-i$ , then $|z|=\sqrt{1^2+(-1)^2}=\sqrt2$ and $\arg z=-\dfrac\pi4$ because $z$ lies in the fourth quadrant.

By DeMoivre's theorem,

$z=|z|e^{i\arg z}\implies z^{10}=(\sqrt2)^{10}e^{-i10\pi/4}=32e^{-i5\pi/2}=32e^{-i\pi/2}=-32i$

so the answer is B.

8 0

3 years ago

An 18 ft. tree casts a 15 ft. long shadow as shown in the following figure. Which of the following is the angle formed by the su

BabaBlast [244]

Answer:

The angle is 50.2°.

Step-by-step explanation:

The tree and its shadow from a right triangle with the tree being the perpendicular and the shadow being the base as shown in the figure attached.

Therefore the angle θ formed by the sun's rays and the ground is:

$\theta = tan^-1(\frac{18}{15} )=\boxed{50.2^o}$

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2 years ago