Answer:
x = 15m
Step-by-step explanation:
The second triangle (large) is 3 times greater than the first triangle (small).
6 x 3 = 18 4 x 3 = 12 5 x 3 = x
5 x 3 is 15, so x is 15m
Answer:
Smaller number: 12
Larger number: 34
Step-by-step explanation:
Let x represent the smaller number.
Let 3x - 2 represent the larger number (The larger number is two less than three times the smaller number, or x)
x + 3x -2 = 46
Add 3x + x:
4x - 2 = 46
Add 2 to both sides:
4x = 46 + 2
Add 46 + 2:
4x = 48
Divide both sides by 4:
4x/4 = 48/4
x = 12 is the smaller number
Since 12 is the smaller number, and the sum of the two numbers is 46, than the larger number must be 34.
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Answer:
d = 5
Step-by-step explanation:
We want to know what d would be when x = -1, so we can start off by plugging in -1 for x to get the following equation: 
. On the left hand side, 2 negatives become a positive sign, so the -(-1) becomes a +1, and 8+1 would equal 9. On the right hand side, we just multiply 2 and -1 to get -2. So, the equation now looks like this: 
. We know that 
= 3, so we would get 3 = d-2. THen we would add 2 to both sides to get d = 5. Hope this helps!
−8x + 4y = 24 -- (1)
−7x + 7y = 28 -- (2)
Eqn (1) & (2) are simplified as
y - 2x = 6 -- (3)
y - x = 4 -- (4)
By making y the subject of formula in (4), we have
y = x + 4 -- (5)
Substitute x + 4 for y in (3), then
x + 4 - 2x = 6
x - 2x = 6 - 4
- x = 2
x = - 2.
Substitute - 2 for x in (5), then
y = - 2 + 4
y = 2.
Therefore, (x, y) = (- 2, 2) ...Ans.
