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tiny-mole [99]
3 years ago
7

Complete the equation so that it is

Mathematics
1 answer:
Setler [38]3 years ago
8 0

Answer:

Any number other than 2

Step-by-step explanation:

Well if we plug in any number other than 2 like 1  for the blank and distribute,

the right side becomes,

3x + 6 = 3x + a number other than 6

Parallel lines have the same slope but different y intercept.

Look at the image below ↓

<em>Thus,</em>

<em>to make the equation have no solution the blank has to be any number other than 2.</em>

<em />

<em>Hope this helps :)</em>

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2. A square-based tent has the cross-sectional
ollegr [7]

(a) Length of the height is 2.732 m

(b) Length of the base is 5.466 m

<u>Explanation:</u>

An image is attached for reference.

(a)

In ΔAOB,

sin 30^o = \frac{AO}{AB} \\\\0.5 = \frac{AO}{2} \\\\AO = 1 m

In ΔBGD,

sin 60^o = \frac{BG}{BD} \\\\0.866 = \frac{BG}{2} \\\\BG = 1.732 m

According to the figure, BG = OE = 1.732 m

Height of the tent, AE = AO + OE

                                  = 1 m + 1.732 m

                                  = 2.732 m

(b)

DF = ?

In ΔAOB,

tan 30^o = \frac{AO}{OB} \\\\0.577 = \frac{1}{OB} \\\\OB = 1.733 m\\\\\\

According to the figure, OB = GE = 1.733 m

In ΔBGD,

tan 60^o = \frac{BG}{DG} \\\\1.732 = \frac{1.732}{DG}\\ \\DG = 1m

According to the figure, DE = DG + GE

                                      DE = 1 m + 1.733 m

                                     DE = 2.733 m

Length of the base, DF = 2 X DE

                              DF = 2 X 2.733 m

                               DF = 5.466 m

8 0
3 years ago
The parent function f(x)=x^3 is represented by graph A. Graph A is transformed to get graph B and Graph C. Write the functions r
miv72 [106K]
What the answer option
8 0
3 years ago
Kendal bought x boxes of cookies to bring to a party. Each box contains 12 2 points
valina [46]

9514 1404 393

Answer:

  • y = 12x +24
  • 744

Step-by-step explanation:

If there are x boxes, each containing 12 cookies, then the number of cookies in the boxes is 12x. If there are 24 more cookies than that at the party, we have ...

  y = 12x +24 . . . . . equation modeling party cookies

__

For x=60, the number of cookies at the party is ...

  y = 12·60 +24 = 720 +24

  y = 744 . . . cookies at the party

7 0
3 years ago
Solve:<br> – 8 = -m<br> 2m<br> + 10
sukhopar [10]

Answer:

m = -18

Step-by-step explanation:

<u>Step 1:  Combine like terms</u>

-8 = -m + 2m + 10

-8 = m + 10

<u>Step 2:  Subtract 10 from both sides</u>

-8 - 10 = m + 10 - 10

-18 = m

Answer:  m = -18

6 0
3 years ago
The drama club is running a lemonade stand to raise money for its new production. A local grocery store donated cans of lemonade
Vitek1552 [10]

Answer:

Step-by-step explanation:

The drama club is running a lemonade stand to raise money for its new production. A local grocery store donated cans of lemonade and bottles of water. Cans of lemonade sell for $2.50 each and bottles of water sell for $1.25 each. The club needs to raise at least $600 to cover the cost of renting costumes. The students can accept a maximum of 460 cans and bottles.

Write a system of inequalities that can be used to represent this situation.

The club sells 144 cans of lemonade. What is the least number of bottles of water that must be sold to cover the cost of renting costumes? Justify your answer

8 0
3 years ago
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