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kifflom [539]
3 years ago
7

Find the equation of a line parallel to y - 5 = 6x – 10 that passes through the

Mathematics
1 answer:
Nataliya [291]3 years ago
4 0

Answer:

y=6x-14

Step-by-step explanation:

y=mx+b

m=slope

b=y-intercept

add 5 on both sides to make y on the left side and the other part on the right side.

y=6x-5

IMPORTANT: Parallel lines have the same slope

if the line passes through the point (4,10) we can substitute values for x and y into y=mx+b

10=4m+b

Now since we know that this line is parallel to y=6x-5 they have the same slope which means m is 6

10=4(6)+b

now solve for b

-14=b

so we know that m is 6 and b =14 now we substitute it back into y=mx+b for m and b

y=6x-14

Hope that helps :)

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If a pound of bread is worth 1.75 and a orange is worth 0.50 per pound. How many pounds of oranges have an equivalent cost to 3
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Answer:

  C.  10.5 pounds

Step-by-step explanation:

The worth of 3 loaves of bread is 3 times that of one loaf:

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You want the number of pounds of oranges (p) at 0.50 per pound that has this same worth:

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7 0
3 years ago
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Factor completely. (x^2 – 4)(x^2 + 6x + 9)<br>​
sertanlavr [38]
<h3>Answer:   (x-2)(x+2)(x+3)(x+3)</h3>

This is the same as (x-2)(x+2)(x+3)^2. The order of the factors doesn't matter.

===============================================

Explanation:

x^2-4 factors to (x-2)(x+2) after using the difference of squares rule

x^2+6x+9 factors to (x+3)(x+3) after using the perfect square trinomial factoring rule

So overall, the original expression factors to (x-2)(x+2)(x+3)(x+3)

We can condense this into (x-2)(x+2)(x+3)^2 since (x+3)(x+3) is the same as (x+3)^2

-------------------

Side notes:

  • Difference of squares rule is a^2 - b^2 = (a-b)(a+b)
  • The perfect square trinomial factoring rule is a^2+2ab+b^2 = (a+b)^2
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3 years ago
Only do question 15<br><br> 50 points<br><br> Topic: Percentage
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Answer:

see below

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567+324+156+89+678 =1814

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Percent hemlock = 678/1814 = .373759647=37.38%

The total should be 100 %

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