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drek231 [11]
3 years ago
11

Which expression is equivalent to -1/2(-3/2x+6x+1)-3

Mathematics
1 answer:
stira [4]3 years ago
7 0

Answer:

-\frac{9}{4}x-\frac{7}{2}

Step-by-step explanation:

We want to find an expression that is equivalent to -\frac{1}{2}(-\frac{3}{2}x+6x+1)-3.

Since we can;t get the options, we simplify the given expression.

The reason is that, the given expression will be equivalent to the simplified one.

We combine similar terms to get:

-\frac{1}{2}(\frac{9}{2}x+1)-3

We now expand to get:

-\frac{1}{2}*\frac{9}{2}x-\frac{1}{2}-3

We perform the subtraction of the last two terms to get:

-\frac{1}{2}*\frac{9}{2}x-\frac{7}{2}

We now multiply to get:

-\frac{9}{4}x-\frac{7}{2}

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If MN=14, NO=11, and QR=27, find the length of PQ. Round your answer to the nearest tenth if necessary. Figures are not necessar
allsm [11]

Answer:

PQ = 34.4

Step-by-step explanation:

First, we know that the angles in a triangle add up to 180 degrees. Therefore, angle M = 48 and angle R = 74

Next, because there is a corresponding angle in each triangle, they are similar. This means that the ratios between corresponding sides are the same. For example, the side opposite angle O (MN) over the side opposite angle R (PQ) is equal to the side opposite angle N (OM) over the side opposite angle Q (RP)

This can be written as MN/PQ = OM/RP. Note that both the numerators are on the same triangle, and MN and PQ correspond, as well as OM and RP.

We are given MN, NO, and QR. Because NO is opposite a 48 degree angle (angle M) as well as QR (angle P), we can say that NO/QR = another ratio of a pair of corresponding sides. Because we want to find PQ, and both PQ and MN are opposite 74 degree angles, we can say that

NO/QR = MN/PQ

Thus,

11/27 = 14/PQ

multiply both sides by PQ to remove a denominator

PQ * 11/27 = 14

multiply both sides by 27 to remove the other denominator

PQ * 11 = 14 * 27

divide both sides by 11 to isolate the PQ

PQ = 14 * 27 /11

PQ = 34.4

4 0
3 years ago
Yooo someone
natita [175]

Answer:

39 sq cm

Step-by-step explanation:

Ok.  Since ΔAED is isosceles, then the height of the trapezoid is 3 cm

One base is 16 and the other base is 16 - 3 - 3 = 10.

A = 1/2 h(b_{1} + b_{2})  where b_{1} and b_{2} are lengths of the bases

A = 1/2(3)(10 + 16)

  = 1/2(3)(26)

  = 39 sq cm

8 0
3 years ago
A large national park has an area of 91,417 acres. What is its area in hectares
aliya0001 [1]

Answer:

36995.1474

Step-by-step explanation:

multiply the area value by 2.471

3 0
3 years ago
What is 65/8 as a mixed number
lukranit [14]
8 1/65
 thats the answer to the simple question


8 0
3 years ago
Read 2 more answers
I need help pls help me what is the answer to -2(8)
AnnZ [28]

Answer:

-16

Step-by-step explanation:

hope this helps love <3

3 0
3 years ago
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