Answer:
12,13 and 14
Step-by-step explanation:
Let the three consecutive integers be n, n+1 and n+2
ATQ,
The sum of twice the second integer and 4 times the third integer is two less than seven times the first integer.
[2(n+1)+4(n+2)] = 7n-2
or
2n+2+4n+8=7n-2
Taking like terms together,
6n-7n = -2-8-2
n = 12
So,
First integer = 12
Second integer = 12+1 = 13
Third integer = 12+2 = 14
Hence, three consecutive integers are 12,13 and 14.
Answer:
$24.00
because 1.2 percent of 2000 is 24
Call those two angles x and y, where x is the larger one.
If they are complementary, then their sum equals 90°:
x + y = 90° (i)
Also, the ratio between x and y is 3 : 2, so
x 3
—— = ——
y 2
Product of the extremes = product of the means:
2x = 3y
2x – 3y = 0 (ii)
Now, just solve this system of equations:
x + y = 90° (i)
2x – 3y = 0 (ii)
Solve it with elimination. Since you want to know the value of the larger angle, which is x, then eliminate the variable y by doing the following:
Multiply the equation (i) by 3,
3x + 3y = 270° (iii)
2x – 3y = 0 (ii)
then add both equations, so you cancel out the variable y:
3x + 2x + 3y – 3y = 270° + 0
3x + 2x = 270°
5x = 270°
270°
x = ———
5
x = 54° <——— this is the measure of the larger angle.
I hope this helps. =)
Tags: <em>system of linear equations elimination method solve complementary angles algebra geometry</em>
Answer:
i can what is it that u need help on?
Step-by-step explanation:
Answer:
c.) -3x + 6 = -9
Original question answer:
2x - 4 = 6
2x = 6 + 4
2x = 10
x = 10/2 = 5
===========
a) 5x - 6 = -11
5x = -11 + 6
5x = -5
x = -1
b) -4x - 2 = 10
-4x = 10 + 2
-4x = 12
x = 12/-4 = -3
c) -3x + 6 = -9
-3x = -9 - 6
-3x = -15
x = -15/-3 = 5
d) 2x + 3 = 7
2x = 7 - 3
2x = 4
x = 4/2 = 2
