Answer:
14 : 21
Step-by-step explanation:
---> 2:3 ----> 2+3=5
---> Stick's length = 35 inches
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<u>For the first portion</u>
2/5 x 35
2/1 x 7
= 14 inches
<u>For the second portion</u>
3/5 x 35
3/1 x 7
= 21 inches
To confirm: 14 + 21 = 35 inches
14 : 21
Divide both by 7
2 : 3
Answer:
Try working from Right to left
Step-by-step explanation:
That way the exponits will work out.
Answer:
(1, 5)
Step-by-step explanation:
The solution to the system of equations is the point of intersection of the two lines. From inspection of the graph, the point of intersection is at (1, 5).
<u>Proof</u>
The solution to a system of equations is the point at which the two lines meet.
⇒ g(x) = f(x)
⇒ 3x + 2 = |x - 4| + 2
⇒ 3x = |x - 4|
⇒ 3x = x - 4 and 3x = -(x - 4)
⇒ 3x = x - 4
⇒ 2x = -4
⇒ x = -2
Inputting x = -2 into the 2 equations:
⇒ g(-2) = 3 · -2 + 2 = -4
⇒ f(-2) = |-2 - 4| + 2 = 8
Therefore, as the y-values are different, x = -2 is NOT a solution
⇒ 3x = -(x - 4)
⇒ 3x = 4 - x
⇒ 4x = 4
⇒ x = 1
Inputting x = 1 into the 2 equations:
⇒ g(1) = 3 · 1 + 2 = 5
⇒ f(1) = |1 - 4| + 2 = 5
Therefore, as the y-values are the same, x = 1 IS a solution
and the solution is (1, 5)
Answer:
Step-by-step explanation:
3<3
Answer:
Imagine that the number that we are looking for is x
We know that:
x/5 - 78 = 9
x/5 = 9 + 78
x/5 = 87
x = 87 . 5 = 435
So the number we need is 435
