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Kobotan [32]
2 years ago
8

Solve the following system by the substitution method. Check the solution(s)

Mathematics
1 answer:
denpristay [2]2 years ago
3 0

Answer:

x = 2; y = -1

Step-by-step explanation:

We can solve (first for y, then for x) using substitution:

x+y=1\\7x+4y=10\\(x+y=1)-y\\x=1-y\\\\7(1-y)+4y=10\\7-7y+4y=10\\(7-3y=10)-7\\(-3y=3)/-3\\y=-1\\\\(x-1=1)+1\\x=2

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Define an altitude of a triangle.
Setler79 [48]
An altitude is a line which passes through a vertex of a triangle, and is at right angles to the opposite side. A triangle has three altitudes.
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4 years ago
A rectangle has a perimeter of 34 cm in an area of 52 cm squared it's length is 5 more than twice its width write and solve the
valina [46]

Let l be the length and w be the width of the rectangle.

Given perimeter of the rectangle

2(l+w)=34 \; l+w=17

Area of the rectangle is

lw=52

Also length is 5 more than twice its width,

l=2w+5

From the above equations

(l-w)^2=(l+w)^2-4lw=17^2-4*52=81\\ l-w=9,\; since \; l>w

Now 2l=9+17=26\;,l=13,w=4

The dimensions of the rectangle are length l=13, and width w=4.


8 0
4 years ago
Read 2 more answers
If f(5) = 3.7 and f(6) = 8.7...<br> f(7) =<br> f(8) =<br> Recursive Function Is
Hitman42 [59]

Answer:

f(7) = 13.7

f(8) = 18.7

Recursive Function Is: f(1) = -16.3; (fn) = f(n - 1) + 5

Step-by-step explanation:

The recursive function of the arithmetic sequence is

f(1) = first term; f(n) = f(n-1) + d, where

  • d is the common difference between each two consecutive terms

∵ f(5) = 3.7 and f(6) = 8.7

∵ d = f(6) - f(5)

∴ d = 8.7 - 3.7

∴ d = 5

∵ f(7) = f(6) + 5

∴ f(7) = 8.7 + 5

∴ f(7) = 13.7

∵ f(8) = f(7) + 5

∴ f(8) = 13.7 + 5

∴ f(8) = 18.7

→ To find f(1) subtract from each term the value of d

∵ f(5) = f(4) + d

∴ f(4) = f(5) - d

∴ f(4) = 3.7 - 5

∴ f(4) = -1.3

∵ f(3) = f(4) - 5

∴ f(3) = -1.3 - 5

∴ f(3) = -6.3

∵ f(2) = f(3) - 5

∴ f(2) = -6.3 - 5

∴ f(2) = -11.3

∵ f(1) = f(2) - 5

∴ f(1) = -11.3 - 5

∴ f(1) = -16.3

∴ Recursive Function Is: f(1) = -16.3; (fn) = f(n - 1) + 5

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Answertimes 6x8 then divide the 2,000 number

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