The values of x are 2 and -1.
Solving the equation created by substitution listed in the question:
-2x+14=x²-3x+12
Add 2x to both sides:
-2x+14+2x=x²-3x+12+2x
14=x²-1x+12
Subtract 14 from both sides:
14-14=x²-1x+12-14
0=x²-1x-2
Factoring this, we want factors of -2 that sum to -1; -2(1) = -2 and -2+1=-1:
0=(x-2)(x+1)
Using the zero product property, we know that either x-2=0 or x+1=0:
x-2=0
x-2+2=0+2
x=2
x+1=0
x+1-1=0-1
x=-1
Answer:
The value of k is 5/8
Step-by-step explanation:
The value of k is found by dividing the numerator of the original ratio, 5, by the sum of the numerator and denominator of the ratio
When finding a point, P, to partition a line segment AB into the ratio a/b, we find a ratio c = a / (a + b)
According to this formula we find the value of k.
k = a/(a+b)
where a = 5
b = 3
Now plug the values in the formula:
k = 5/(5+3)
k = 5/8 ....
The 3 inside angles of a triangle equal 180.
Add the 3 angles together to equal 180:
X + (5x-20) + 4x = 180
Simplify the left side by adding like terms:
10x-20 = 180
Add 20 to each side:
10x = 200
Divide both sides by 10:
x = 20
Angle A = x = 20
Angle B = 4X = 4(20) = 80
Angle C = 5x-20 = 5(20) -20 = 100-20 = 80
11. y = -23x - 21
You can get this by starting with y = mx + b (slope intercept form). Then put in all the knowns and solve for the b.
2 = -23(-1) + b
2 = 23 + b
-21 = b
Then add that to the end of the equation with m = -23
12. -5
The y-intercept of an equation is always the number added on at the end of an equation. It is also the number with no x attached to it.
13. 8x^9y^6
When you use the law of exponents, you need to make sure the exponent goes to each individual term. When we cube the 2, it becomes 8. When you cube x^3, you get x^3*x^3*x^3 or x^9. And with y^2 you get y^6
Answer:
4335
Step-by-step explanation:
Its the answer i did the test once give brainliest
