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Lemur [1.5K]
3 years ago
6

2. Simplify each expression.

Mathematics
1 answer:
deff fn [24]3 years ago
8 0

Answer:

6n + 3 + 2n = 8n + 3

99-9-9 = 81

2p + 3p+ 6-p-3 = 4p + 3

2.25(14.3m + 6 + 2.7m) = 38.25m + 15.5

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An ellipse has a vertex at (1,0), a co-vertex at (0,4), and a center at the origin. Which is the equation of the ellipse in stan
Mamont248 [21]

Answer:

\frac{x^{2} }{1 } +\frac{y^{2} }{16 } =1

Step-by-step explanation:

The center of the ellipse at the origin, and (1,0) and (0,4) are the vertex and co-vertex of it.  

Therefore, the major and minor axis of the ellipse is X-axis and Y-axis respectively.

And the standard form of the equation of ellipse is \frac{x^{2} }{a^{2} } +\frac{y^{2} }{b^{2} } =1, where a = half of major axis length and b = half of minor axis length.

So, a = 1 and b = 4.

Therefore, the equation of the given ellipse is \frac{x^{2} }{1^{2} } +\frac{y^{2} }{4^{2} } =1

⇒  \frac{x^{2} }{1 } +\frac{y^{2} }{16 } =1 (Answer)

5 0
4 years ago
∠C and ​ ∠D ​ are vertical angles with m∠C=−2x+90 and m∠D=x−30 .<br><br><br><br> What is m∠D?
ElenaW [278]
Check the picture below.

3 0
3 years ago
Just help, what are the answer, Its due in 15 minutes and yea, ill mark brainliest and dont give me a link saying the answer is
Naddik [55]

Answer:

<h2><u><em>6. </em></u></h2><h2><u><em>   a. 11 and 2/3 yds. squared</em></u></h2><h2 /><h2><u><em>   b. Yes, the volume of the shed is 11 and 1/3 yards squared and what she's trying to put into it is only 10 yards squared, if put in properly, it will be able to fit.</em></u></h2><h2 /><h2><u><em>7. 1,110 in. squared</em></u></h2>

Step-by-step explanation:

6.

a.

(10/3)*(14/9)*(9/4)

= 11 2/3

b.

Yes, because the volume of the shed is about 11.67 yards long, the 10 yards of wood will fit in the shed.

7.

For this one, we have to break it into two pieces.

(I made them into a small box and and big box)

The measurements of the small box are 7*5*6.

The measurements of the big box are 20*5*9.

Using this information, we can make the following equation and solve it quickly.

(7*5*6) + (20*5*9)

(210) + (900)

1,110

Thus, the volume of this box is 1,110 in. ^2

7 0
3 years ago
Grant got 21 questions on his test correct and received a score of 84%. How many questions were on the test
Oliga [24]

Answer:

25

Step-by-step explanation:

Simplify 84/100 to get to 21/(?). To get to 21 you'd divide 84 by 4 so you'd have to do the same thing to the denominator. 100 divided by 4 is 25, therefore there were 25 questions.

3 0
3 years ago
Which addition expression is equivalent to -9.5 - (-18)? *
iren [92.7K]

Answer:

8.5

Step-by-step explanation:

Solution Steps

-9.5- (-18)

The opposite of -18 is 18.

-9.5+18

Add -9.5 and 18 to get 8.5

7 0
3 years ago
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