Answer:
Solution: { -29/3 , -10/3 }
Step-by-step explanation:
2y = x + 3 ---------> equ 1
5y = x - 7 equ 2
equ 1 - equ s ====> -3y = 10
y = -10/3
Put y = -10/3 in equ 1
2 * (-10/3) = x + 3
-20/3 = x + 3
(-20/3) - 3 = x
(-20/3) - (9/3) = x
(-20 - 9) / 3 =x
x = -29/3
Solution: { -29/3 , -10/3 }
Answer:
(x + 7) (x + 5)
Step-by-step explanation:
Factor the following:
x^2 + 12 x + 35
The factors of 35 that sum to 12 are 7 and 5. So, x^2 + 12 x + 35 = (x + 7) (x + 5):
Answer: (x + 7) (x + 5)
Answer: 60
Step-by-step explanation:
Using Heron's formula, we know that
Step 1: Calculate "s" (half of the triangles perimeter):
s = (a+b+c)/2
Step 2: Then calculate the Area:
Herons formula A = sqrt( s(s-a)(s-b)(s-c) )
So S = 36/2 = 18
so
So our final answer is the square root of 3600, which equals 60.
First we want to isolate x from 5x + y = 9 so to do so. We subtract y from both sides.
5x + y - y = 9 - y
Simplify.
5x = 9 - y
Divide both sides by 5.
5x/5 = 9/5 - y/5
Simplify again.
x = 9 - 5/y
Substitute x = 9 - 5/y
So 10 * 9 - 5/y - 7y = -18.
We wanna isolate y so...
10 * 9 - 5/y
Multiply the fractions.
(9 - y) * 10/5
Divide the numbers (10/5 = 2)
2(-y + 9)
Now we want to expand this.
2 * 9 + 2(-y)
Apply the minusplus rule
2 * 9 - 2y
This gives us 18 - 2y
From there we can add the similar elements
-2y - -7y = -9y
18 - 9y = -18
Subtract 18 from both sides.
18 - 9y - 18 = -18 - 18
Simplify again.
-9y = -36
Now divide both sides by -9
-9y/-9 = -36/-9
This gives us y = 4.
For x we just want to substitute 4 into it.
So 9 - 4/5 which is 5/5 which translates to 1.
Therefore y = 4 and x = 1.
X=22
(X+1)+ (3x+1)= 90
4x+2=90
4x=88
x=22