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Paladinen [302]
3 years ago
11

Consider the following pair of equations:

Mathematics
1 answer:
Zinaida [17]3 years ago
5 0

Answer:

The lines representing these equations intercept at the point (-4,2) on the plane.

Step-by-step explanation:

When we want to find were both lines intercept, we are trying to find a pair of values (x,y) that belongs to both equations, which means that it satisfies both equations at the same time.

Therefore, we can use the second equation that gives us the value of y in terms of x, to substitute for y in the first equation. Then we end up with an equation with a unique unknown, for which we can solve:

x+y=-2\\x+(2x+10)=-2\\x+2x+10=-2\\3x+10=-2\\3x=-2-10\\3x=-12\\x=\frac{-12}{3} \\x=-4

Next we use this value we obtained for x (-4) in the same equation we use for substitution in order to find which y value corresponds to this:

y=2x+10\\y=2(-4)+10\\y=-8+10\\y=2

Then we have the pair (x,y) that satisfies both equations (-4,2), which is therefore the point on the plane where both lines intercept.

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Gonna need help on this too. =/
krek1111 [17]

Answer:

The price for each pound of tuna appears to be the same

Predicted amount of tuna that sells for $40: 10 pounds

Step-by-step explanation:

16/4=4

28/7=4

36/9=4

$4 for 1 pound of tuna.

5 0
2 years ago
Determine whether the solids are similar.
alexandr402 [8]

Answer:

  The solids <u>are</u> similar.

Step-by-step explanation:

Every linear dimension of the larger solid is twice that of the smaller solid. Since the scale factor is the same in every direction, the figures <u>are similar</u>.

7 0
3 years ago
Pls solve I will give the barinliest answer plssss
ra1l [238]

Answer:

20 or 3

Step-by-step explanation:

good luck

hope it helps u

need more answers?

just follow me

8 0
2 years ago
Read 2 more answers
Fred bought a car for $5000.00 and sold it for $6125.00. What percent profit did he make?
Diano4ka-milaya [45]

Answer:

Thats an 22.5% profit margin

Step-by-step explanation:

5 0
2 years ago
Law of cosines in (triangle )rst if r = 14 yd s = 9 yd t = 6 yd find m
kotegsom [21]
In a triangle ABC, the law of cosines can be illustrated using the rules found in the attached image.

Now, applying this rule to the given triangle, we can calculate the measure of each angle as follows:
cos(r) = (s^2 + t^2 - r^2) / (2st) = (9^2 + 6^2 - 14^2) / (2*9*6) = -0.73148
angle r = 137.01 which is approximately 137 degrees

cos(s) = (r^2 + t^2 - s^2) / (2rt) = (14^2 + 6^2 - 9^2) / (2*14*6) = 0.8988
angle s = 25.99797 which is approximately 26 degrees

cos(t) = (r^2 + s^2 - t^2) / (2rs) = (14^2 + 9^2 - 6^2) / (2*14*9) = 0.9563
angle t = 16.99 which is approximately 17 degrees

Summing up the calculated angles:
sum = 137 + 26 + 17 = 180 degrees
which is the sum of the angles of the triangle

7 0
2 years ago
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