All categories

3 years ago

2) -84 = 6(4a – 2) A) {2} C) No solution. B) {1} D) -3)

Mathematics

1 answer:

LenaWriter [7]3 years ago

5 0

In this question, you're solving for a.

Solve for a:

-84 = 6(4a - 2)

Distribute the 6 to the variables inside the parenthesis

-84 = 24a - 12

Add 12 to both sides

-72 = 24a

Divide both sides by 24

-3 = a

This means that answer choice D would be the correct answer.

Answer:

D). -3

You might be interested in

Find the point-slope equation for the line

rusak2 [61]

Answer:

y-10=5(x-15)

Step-by-step explanation:

Slope =5

15-10/16-15=5

Then plug in 10 as the y1 and 15 as y2.

3 0

3 years ago

HELP ME ASAP PLS.......

Sergio [31]

Answer:

Step-by-step explanation: 32

3 0

2 years ago

Cos^2x+cos^2(120°+x)+cos^2(120°-x) i need this asap. pls help me

o-na [289]

Answer:

$\frac{3}{2}$

Step-by-step explanation:

Using the addition formulae for cosine

cos(x ± y) = cosxcosy ∓ sinxsiny

---------------------------------------------------------------

cos(120 + x) = cos120cosx - sin120sinx

= - cos60cosx - sin60sinx

= - $\frac{1}{2}$ cosx - $\frac{\sqrt{3} }{2}$ sinx

squaring to obtain cos² (120 + x)

= $\frac{1}{4}$ cos²x + $\frac{\sqrt{3} }{2}$ sinxcosx + $\frac{3}{4}$ sin²x

--------------------------------------------------------------------

cos(120 - x) = cos120cosx + sin120sinx

= -cos60cosx + sin60sinx

= - $\frac{1}{2}$ cosx + $\frac{\sqrt{3} }{2}$ sinx

squaring to obtain cos²(120 - x)

= $\frac{1}{4}$ cos²x - $\frac{\sqrt{3} }{2}$ sinxcosx + $\frac{3}{4}$ sin²x

--------------------------------------------------------------------------

Putting it all together

cos²x + $\frac{1}{4}$ cos²x + $\frac{\sqrt{3} }{2}$ sinxcosx + $\frac{3}{4}$ sin²x + $\frac{1}{4}$ cos²x - $\frac{\sqrt{3} }{2}$ sinxcosx + $\frac{3}{4}$ sin²x

= cos²x + $\frac{1}{2}$ cos²x + $\frac{3}{2}$ sin²x

= $\frac{3}{2}$ cos²x + $\frac{3}{2}$ sin²x

= $\frac{3}{2}$ (cos²x + sin²x) = $\frac{3}{2}$

5 0

3 years ago

on October 17, 2006 in an article called US Population Reaches 300 million, the BBC reported that the US gains 1 person every 11

docker41 [41]

The area of an n-sided regular polygon approaches the area of a circle as n gets very large. ... If an N-gon (polygon with N sides) has perimeter P, then each of the N ... and we can use one of them to derive theequation sin(theta/2) ... 2*pi/N radians), R is the length of the lines to the center (the radius of the ...

6 0

3 years ago

Change the fraction 1/5 to a percent.

denis23 [38]

$\frac{1}{5} \cdot 100 \ \% = 0.2 \cdot 100 \ \% = 20 \ \%.$

5 0

3 years ago

Read 2 more answers