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3 years ago

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Mathematics

2 answers:

seraphim [82]3 years ago

7 0

A parallel line has the same gradient

First you will need to rearrange the equation 10x+2y=-2

Then once you do that please comment

If you don’t know how please comment

timurjin [86]3 years ago

7 0

Answer:
a) y = -5x + 12

10x + 2y = -2
-10x -10x
2y = -10x - 2
/2v /2
y = -5x - 1

y = mx + b
y - y1 = -m(x - x1)
y - 12 = -5(x - 0)
y - 12 = -5x + 0
y - 12 = -5x
+ 12 + 12
y = -5x + 12

Hope this helps!

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Marissa dug three fifths of a hole in one tenth of an hour. Find the rate<br> in holes per hour

snow_lady [41]

Answer:

Step-by-step explanation:

This might be easier to do in decimals. Let's try it.

3/5 = 0.6

1/10 = 0.1

rate = holes / hours

rate = 0.6/0.1

rate = 6 holes per hour

Try it with fractions.

rate = $\frac{\frac{3}{5} }{\frac{1}{10} }$ Invert and multiply the 1/10

rate = $\frac{3}{5} *\frac{10}{1}$ = 30/5 = 6

It's the same answer. Pick the method that you feel most comfortable with.

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3 years ago

6.8% increase in $44,000

tatuchka [14]

(100+6.8=106.8%)
106.8\100 x 44000=$46992

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4 years ago

A survey asked 36 students to choose their favorite type of music from the choices of rock, pop, and country. The results of the

mina [271]

Answer:the answer is b

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

How many different strings of length 12 containing exactly five a's can be chosen over the following alphabets? (a) The alphabet

N76 [4]

Answer:

Part (A) The required ways are 792.

Part (B) The required ways are 101376.

Step-by-step explanation:

Consider the provided information.

Part (A) The alphabet {a, b}

The length of strings is 12 that containing exactly five a's.

The number of ways are: $\frac{12!}{5!7!}$

After filling "a" we have now 7 places.

For 7 places we have "a" and "b" alphabet but we already select a's so now the remaining place have to fill by "b" only.

Thus, the required ways are: $\frac{12!}{5!7!}\times 1=792$

Part (B) The alphabet {a, b, c}

We have selected five a's now we have now 7 places.

For 7 places we have "b" and "c".

Thus, there are 2 choices for each 7 place that is $2^7$

Therefore the total number of ways are: $792\times 2^7=101376$

Thus, the required ways are 101376.

7 0

4 years ago

6. The length of a rectangle is 8 cm more than twice the width. The perimeter of the rectangle is 34

balandron [24]

Answer: Width = 3 and Length = 14

Step-by-step explanation:

Length = 2W + 8

Width = W

Perimeter= 2(width) + 2(length)

34 = 2W + 2(2W +8)

Distribute

34 = 2W + 4W + 16

Combine like terms

34 = 6W + 16

Solve for W

34- 16 = 6W

18 = 6W

W = 3

Substitute 3 in for W in Length equation.

L = 2(3) + 8 = 14

4 0

4 years ago