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2 years ago

8. Math on the Spot Write an equation in slope-intercept form for the line that passes

Mathematics

1 answer:

PolarNik [594]2 years ago

6 0

Answer: y=-x-1

Step-by-step explanation:

To find the answer, 5 and -6 have to be substituted in the place of x in the equation y = -x + b(The slope has to be the same because the line is parallel). -6 = -5 + b, b = -1. This means that the equation is y = -x - 1.

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Prove algebraically that (m + 2)2 – m 2 – 12 is always a multiple of 4

Julli [10]

Answer:

$(m + 2)^{2} - m^{2} - 12 = 4(m - 2)$

Step-by-step explanation:

Step 1:

Write the expression

$(m+2)^{2} - m^{2} - 12$

Step 2: Expand $(m + 2)^{2}$

$(m+2)^{2} - m^{2} - 12\\(m+2)(m+2) - m^{2} - 12\\m^{2} + 2m + 2m + 4 - m^{2} - 12$

Step 3: Collect similar terms

$m^{2} - m^{2} + 4m + 4 - 12\\4m - 8$

Step 4: Factor 4 out of the expression to prove that the expression is a multiple of 4.

$Therefore\\4m - 8 = 4(m - 2)\\Hence,\\(m+2)^{2} - m^{2} - 12 is a multiply of 4 because the expression is equal to 4(m-2)$

3 0

2 years ago

the temperature at the south pole was -39degree f at 8am. at 3pm it was 10degree f, by how many degrees did the temperature rise

natita [175]

Answer:

Step-by-step explanation: start at -39 degrees. You need to find how many degrees is between -39 and 10 degrees.

+39+10= 49 degrees risen

6 0

2 years ago

You plan to buy $12,000 in computers at a local chain store. There are two stores located about the same distance from your offi

wariber [46]

Lets calculate the taxes that would been payed at each city:
city1 = 12000(7%) = 12000(0.07) = 840
city2 = <span>12000(8.5%) = 12000(0.085) = 1020
So if you go to city1 instead of city2, you save 1020 - 840 = 180
So you would save $180 from $12000, that is:
180 out of 12000
= 180/12000
= 0.015
and that is the 1.5%, that is what you could save</span>

4 0

2 years ago

I need this done by today someone plzz help me !!!

Pie

(is/of=%/100)
(12/x= 35/100) = 34.29
(500/400=x/100) = 125

8 0

3 years ago

What is the area of the figure?

Pie

Answer:

80.2

Step-by-step explanation:

6 0

1 year ago