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lapo4ka [179]
3 years ago
6

PLEASE HELP!! 20 POINTS

Mathematics
1 answer:
WARRIOR [948]3 years ago
6 0
The answer to the first expression is
-21b + 7bc or (-7b * 3) + (7b * 6)
the answer to the second expression is the second and third option
You might be interested in
Which is the equation in slope-intercept form for the line that passes through (3, 7) and is perpendicular to 3x-5y=8
Natalija [7]

Answer:

C

Step-by-step explanation:

Perpendicular lines have slopes which are the negative reciprocal of each other. To find the slope, convert 3x-5y=8 into y=mx+b form.

3x-5y=8

-5y = -3x +8

y = 3/5 x - 8/5

The slope is 3/5 so its perpendicular slope is -5/3. Write the equation of this line through the point (3,7) using point slope form. Then simplify into y=mx+b form.

y-y_1=m(x-x_1)\\y-7 = -\frac{5}{3}(x-3)\\y-7=-\frac{5}{3}x + 5\\y = -\frac{5}{3}x+12

5 0
3 years ago
What is the surface area of the triangular prism?
miv72 [106K]

Answer:

168ft

Step-by-step explanation:

1/2(6)(4)=12

1/2(6)(4)=12

(9)(5)=45

(9)(5)=45

(9)(6)=54

12+12+45+45+54=168

6 0
3 years ago
Mrs. Java invests $4000 at 10% annual return and $6000 al 12% annual return. How much should she invest at 15% return so that he
erma4kov [3.2K]

Answer:

Step-by-step explanation:

Interpreting as: 6000

Input:

6000

Number line:

Number line

Number name:

six thousand

Roman numerals:

\!\(\("V"\)\&_\)M

Binary form:

1011101110000_2

Prime factorization:

2^4×3×5^3

Residues modulo small integers:

m | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9

6000 mod m | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 6

Properties:

6000 is an even number.

6000 is a number that cannot be written as a sum of 3 squares.

6000 has the representation 6000 = 3^5 5^2 - 75.

6000 divides 49^10 - 1.

Character code 6000:

| Tagbanwa letter sa

Unicode: U+1770 (decimal: 6000)

Mathematica: \:1770

(Tagbanwa)

3 0
2 years ago
Find all solutions in the interval [0, 2π).<br><br> 4 sin2 x - 4 sin x + 1 = 0
eimsori [14]

ANSWER

x =  \frac{\pi}{6}  \: or \: x =  \frac{5\pi}{6}

EXPLANATION

The given trigonometric equation is

4  \sin ^{2} x - 4 \sin(x)  + 1 = 0

This is a quadratic equation in sinx.

We split the middle term to obtain,

4  \sin ^{2} x - 2 \sin(x)  - 2 \sin(x)  + 1 = 0

Factor by grouping to get,

2 \sin(x) (2 \sin(x)  - 1) - 1(2 \sin(x)  - 1) = 0

This implies that,

(2 \sin(x)  - 1)(2 \sin(x)  - 1) = 0

\sin(x)  = 0.5

This gives us,

x =  \frac{\pi}{6}

in the first quadrant.

Or

x = \pi  - \frac{\pi}{6}

x =  \frac{5\pi}{6}

in the second quadrant.

8 0
3 years ago
Read 2 more answers
1) reflection across y = x
Harlamova29_29 [7]
I’m doing this so I can ask a question
4 0
3 years ago
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