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Tpy6a [65]
4 years ago
11

Solve, using the substitution method. m + n = 5 m – n = 3

Mathematics
2 answers:
vova2212 [387]4 years ago
8 0
First rearrange the first equation and solve it for 'm':

m + n = 5

Subtract n to both sides:

m = -n + 5

Now plug in -n + 5 for 'm' in the 2nd equation:

-n + 5 - n = 3

Combine like terms:

-2n + 5 = 3

Subtract 5 to both sides:

-2n = -2

Divide -2 to both sides:

n = 1

Now we can plug this back into any of the two equations and solve for 'm':

m + n = 5

m + 1 = 5

Subtract 1 to both sides:

m = 4

So our full answer is (4, 1)
Kay [80]4 years ago
7 0
M + n = 5
m= n + 3

plug m=n+3 into the first equation. 

(n+3)+n=5
n+n+3=5
2n+3=5
2n=2
n=1

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Answer:

512 ft.

Step-by-step explanation:

From the parking lot at the Red Hill Shopping Center, the angle of sight (elevation) to the top of the hill is about 25. From the base of the hill you can also sight the top but at an angle of 55. The horizontal distance between sightings is 740 feet. How high is Red Hill? Show your subproblems.

Solution:

Let x be the distance from the base of the hill to the middle of the hill perpendicular to the height, let h be the height of the hill. Therefore:

tan 25 = h/(x + 740)

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Hence:

(x + 740)tan 25 = xtan 55

0.4663(x + 740) = 1.428x

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0.9617x = 345.07

x = 359 ft.

h = xtan55 = 359 tan(55) = 512 ft.

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The Pyraminx is a Rubik's cube-type toy in the shape of a tetrahedron. The Pyraminx shown below has edges 15\,\text{cm}15cm long
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Answer:

8.727

Step-by-step explanation:

Since the below edge, d = 15 cm, and the height, h = 12.2 cm, we will use the Pythagorean  theorem to find the distance r.

d^2=r^2+h^2

(15)^2 = r^2+(12.2)^2

r^2 = (15)^2-(12.2)^2=225-148.84=76.16

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4 0
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