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mash [69]
3 years ago
10

I need to factor 4n^2+4n-3. How??

Mathematics
1 answer:
charle [14.2K]3 years ago
5 0
Simple.....

you have: 4n^{2} +4n-3

What multiplies to -12 and adds to 4?

6*-2=-12

6+-2=4

If you plug it into the box method you should get...--->>>

(2n-1)(2n+3)

Thus, your answer.
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Find the area of a rhombus with side length 6 and an interior angle with measure $120^\circ$.
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Answer:

The area of a rhombus is 18\sqrt{3} square units.

Step-by-step explanation:

Side length of rhombus = 6 units.

Interior angle of rhombus = 120°

another Interior angle of rhombus = 180°-120° = 60°.

Draw an altitude.

In a right angled triangle

\sin \theta=\frac{opposite}{hypotenuse}

\sin (60)=\frac{h}{6}

\frac{\sqrt{3}}{2}=\frac{h}{6}

Multiply both sides by 6.

3\sqrt{3}=h

The height of the rhombus is 3\sqrt{3}.

Area of a rhombus is

Area=base\times height

Area=6\times 3\sqrt{3}

Area=18\sqrt{3}

Therefore, the area of a rhombus is 18\sqrt{3} square units.

8 0
2 years ago
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Carrie is planning her birthday party at a restaurant. She cannot spend more than $75 on the party. The cost per person for the
abruzzese [7]

Answer:

carrie can invite 5 friends with some money left over

Step-by-step explanation:

12f+10<75

12f<75-10     *carry the 10 over

12f<65           *simplify

f<65/12        *carry the 12 over

f<5.42         *simplify

4 0
3 years ago
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A cylinder has a volume of 360 cubic centimeters. Find the volume of a cone with the same height and diameter as
harina [27]

Formula for the cylinder = V=πr2h

Formula for the cone = 1/3πr²H

Description:

So if the  cone and a cylinder have the same radius and the same height then it will be greater. So plug in these formula.

Formula:

Vcone = 3Vcone

Vcylinder = 360cm³

Vcone = 1/3 360cm³ = 120cm³

Answer: 120cm³

Hope this helps.

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3 years ago
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What number is 30% of 7
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Bus Stop:
Arlecino [84]

Answer:

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Bus Stop, 5 miles from home

In which scenario does Seth travel at a greater speed, and what was the rate?

Friends house, 2 miles every 3 minutes.

Step-by-step explanation:

I already took the assignment, good luck

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3 years ago
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