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emmasim [6.3K]
3 years ago
13

-3(x+2)=21 What is the answer and show the work please.

Mathematics
1 answer:
galina1969 [7]3 years ago
7 0
Find use the distributive property and bring down the ending result (21)
-3x-6=21

Next, add 6 on both sides and you should get:
-3x = 27

The last step is, you divide -3 from 27 and you end up with 9. So, the total answer is x = 9

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What is the length of BC? Round to the nearest tenth.
Kay [80]

Answer:

BC ≈ 14.5 cm

Step-by-step explanation:

Using the sine ratio in the right triangle

sin65° = \frac{opposite}{hypotenuse} = \frac{BC}{AB} = \frac{BC}{16} ( multiply both sides by 16 )

16 × sin65° = BC , then

BC ≈ 14.5 cm ( to the nearest tenth )

6 0
3 years ago
If f(x) = 4x - 12, what is f(2)?<br> O A. -4<br> O'B. 4<br> O c. -20<br> D. 8<br> Helpppp plzzz
photoshop1234 [79]

Answer:

-4

Step-by-step explanation:

f(x) = 4x - 12

Let x=2

f(2) = 4*2 - 12

     = 8-12

    = -4

8 0
3 years ago
Find an equation in standard form for the hyperbola with vertices at (0, ±9) and foci at (0, ±11)
Katen [24]

Answer:

\frac{y^{2} }{81} -\frac{x^{2} }{40} }=1 is standard equation of hyperbola with vertices at (0, ±9) and foci at (0, ±11).

Step-by-step explanation:

We have given the vertices at (0, ±9) and foci at (0, ±11).

Let (0,±a)  = (0,±9) and (0,±c)  = (0,±11)

The standard equation of parabola is:

\frac{y^{2} }{a^{2} } -\frac{x^{2} }{b^{2} }=1

From statement, a  = 9

c² = a²+b²

(11)²  = (9)²+b²

121-81  = b²

40  = b²

Putting the value of a² and b² in standard equation of parabola, we have

\frac{y^{2} }{81} -\frac{x^{2} }{40} }=1 which is the answer.

3 0
3 years ago
Helen spent $145 for shoes. This was $55 more than twice what she spent for a bag. How much was the bag?
marin [14]

Answer:

45 DOLLARS

Step-by-step explanation:

For these kind of problems, write an equation to figure out the answer.

55 + 2x = 145

x represents the bag cost

145 is the shoe cost

Take out the constant, which is 55, from both sides. A constant is a useful term you should learn.

The result is: 2x = 90

Divide 2x by 2, to get x, which is the bag cost, by itself.

Result: x= 45

Since x is the bag cost, the bag costs 45 dollars

Please mark me brainliest

8 0
3 years ago
What is the solution of 3x+9&lt;15
Zolol [24]

Answer:

Third one

Step-by-step explanation:

<u>Two </u>things to solve      3x+9 <= 15

                                        3x <= 6

                                         <u> x <= 2</u>

      <u>   and</u>   - (3x+ 9) <= 15

                  - 3x - 9 <= 15

                   - 3x <= 24

                      3x >= -24

                     <u>   x > = - 8 </u>

<u />

<u />

<u>s o   -8 <= x <= 2 </u>

3 0
2 years ago
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