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irinina [24]
3 years ago
13

Consider the line y = x+4.

Mathematics
1 answer:
alexgriva [62]3 years ago
8 0
When finding the perpendicular slope, you wanna find the reciprocal of the slope and make it negative if it’s originally positive and positive if it’s originally negative. For instance, a slope of 2 would become -1/2. Hope this helps!

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Eli has saved $8 more than 1/3 of Angela's savings.If they each save $10 more Eli will have saved &4 more than Angela's savi
statuscvo [17]

Answer:

Eli has saved $10

Step-by-step explanation:

Let us use the first letters of their names to represent them.

A for Angela and E for ELi

So, from the first statement, we can write out an equation: E = \frac{1}{3}A + 8, that is, <em>one-third of Angela's savings + $8 will give us Eli's savings</em>

From the second statement, we can write out: E + 10 = (A + 10) + 4 which means that <em>if $10 is added to both their savings, Eli will still have $4 more than Angela.</em>

So, we can solve both equations;

Equation 1: E = \frac{1}{3}A + 8

Equation 2: E + 10 = (A + 10) + 4; which can be rewritten as E + 10 = A + 14

and then E = A + 4

The two equations (in bold), can then be solved simultaneously.

Let us carry out this operation to <u>eliminate the E:</u> Subtract equation 1 from equation 2, so that;

A + 4 - ( \frac{1}{3}A + 8) = E - E

\frac{2}{3}A - 4 = 0

\frac{2}{3}A = 4

A = 4 × \frac{3}{2} = 6

So, if A is 6, and E = A + 4 (from equation 2, that means that E = 6 + 4 = 10

So, Eli has saved $10, while Angela has saved $6.

If we check what was said in the question about their savings, which is what we have represented using the equations, the answers can be confirmed.

3 0
4 years ago
Read 2 more answers
Solve for x.<br> x + 5 &gt; 4
Delvig [45]

Answer:

x > -1

Step-by-step explanation:

Isolate the variable, x. Treat the > sign like an equal sign, what you do to one side, you do to the other.

Subtract 5 from both sides:

x + 5 (-5) > 4 (-5)

x > 4 - 5

x > -1

x > -1 is your answer.

~

8 0
3 years ago
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According to his running log, Reid averaged 4 miles per week and 6 miles per week this month. By what percent has his average in
Bas_tet [7]

Answer:

24 cause u take 4 time 6 is 24 u got ya answer

6 0
3 years ago
I have a bag of trail mix. One half of the bag is peanuts 1/4 of the bag is chocolate candies,1/4 of the bag is dried fruit. Wha
lana66690 [7]
50% or 1/2 or 1:2 would be your answer
3 0
3 years ago
HELP ASAP PLEASE 15P
UNO [17]

Answer:

4

Step-by-step explanation:

It goes through that one on the graph

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3 years ago
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