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3 years ago

Evaluate. Write in simplest form. 6-b / 3a

1 answer:

4 0

The answer is D.1/2

$a= 10 \\ b=-9 
\\ \frac{6-b}{3a} = \frac{6-(-9)}{3*10}= \frac{6+9}{30} = \frac{15}{30} = \frac{15:15}{30:15} = \frac{1}{2}$

You might be interested in

∆ABC rotates 90° clockwise about point P to form ∆A′B′C′.

OlgaM077 [116]

Assume P(xp,yp), A(xa,ya), etc.
We know that rotation rule of 90° clockwise about the origin is
R_-90(x,y) -> (y,-x)
For example, rotating A about the origin 90° clockwise is
(xa,ya) -> (ya, -xa)
or for a point at H(5,2), after rotation, H'(2,-5), etc.

To rotate about P, we need to translate the point to the origin, rotate, then translate back. The rule for translation is
T_(dx,dy) (x,y) -> (x+dx, y+dy)

So with the translation set at the coordinates of P, and combining the rotation with the translations, the complete rule is:
T_(xp,yp) R_(-90) T_(-xp,-yp) (x,y)
-> T_(xp,yp) R_(-90) (x-xp, y-yp)
-> T_(xp,yp) (y-yp, -(x-xp))
-> (y-yp+xp, -x+xp+yp)

Example: rotate point A(7,3) about point P(4,2)
=> x=7, y=3, xp=4, yp=2
=> A'(3-2+4, -7+4+2) => A'(5,-1)

6 0

4 years ago

Benwa bicycles 7 miles west to get from his house to school. After school, he bicycles 6 miles north to his friend Dante's house

Viefleur [7K]

Answer:

9.2 miles

Step-by-step explanation:

Patjagorean therom. 6squared plus 7squared equals c squared. 36+49=squared. it would be 9.2

8 0

3 years ago

manuel`s job pays 11.50 per hour for a 40-hour work week. If manuel works over 40 hours, he earns 1 1/2 times his hourly pay for

zhuklara [117]

The answer is $529, how I got my answer.

I multiplied $11.50×40=$460
then I multiplied 11.50×6=$69
then I added $460+$69=$529.

I hope this helps.

5 0

3 years ago

Write a trinomial whose binomial factors contain constant terms that sum to −11 and have a product of 18.

gulaghasi [49]

18 -2-5=11 that is the answer

7 0

3 years ago

I need help pls I WILL GIVE BRAINLIEST Pls help

uranmaximum [27]

Answer:

1. The square root of 100

2.c=27.11

d=13.96

e=12.6

Step by step explanation: 

1. 2×50=100 the geometric mean is the square root of 100

2. The diagram is made up of three right angled triangles the big outer one and two triangles inside the big one thus we can use the pythagorean theorem to come up with expressions which will help us in solving the unknown parts as below.

c²=30²-d²

c²=e²+24²

d²=e²+6²

both the following add up to c² meaning they are equal:

c²=30²-d²

c²=e²+24²

thus

30²-d²=e²+24²

I want to remain with d² only thus;

30²-24²-e²=d²

900-576=324 (squareroot of 324=18) so

d²=18²-e² and d²=e²+6²

both the above add up to d² meaning they are equal thus;

18²-e²=e²+6²

18²-6²=e²+e²

324-36=2e²

318=2e²

159=e²

e=12.61

Thus d²=e²+6²

d²=12.61²+6²

d²=159+36

d²=195

d=13.96

c²=e²+24²

c²=12.61²+24²

c²=159+576

c²=735

c=27.11

 

I hope this helps

3 0

3 years ago