Answer:
x=7
Step-by-step explanation:
The two triangles are congruent so the equation is
9x-15=7x-1
9x-7x=15-1
2x=14
x=7
Method A: I think is 31 because you first have to get out of the negatives which is already 12, then you have to go to positive 19 which is 19 more, so add those and you get 31.
Method B: The absolute value of the difference between the two numbers is positive 31. This is because the absolute value of -12 is 12 and the absolute value of 19 is 19. Just add.
Answer:
90
Step-by-step explanation:
Answer:
35/2
Step-by-step explanation:
y ~ x
y=ky
7=2k
k=7/2
y=(7/2) × 5
y=35/2
Answer:
k = 13
smallest zero = -6
Step-by-step explanation:
f(x) is basically the function of x.
x could be any integer. f(x) is the solution of the function of x.
f(x) is defined as x² + 3x - 10
f(x) = x² + 3x - 10
Now, f(x+5) = x² + kx + 30
This statement here says that if the value of x is x+5, then the answer would be x² + kx + 30.
f(x) = x² + 3x - 10
f(x+5) = (x+5)² + 3(x+5) - 10
f(x+5) = x² + 10x + 25 + 3x + 15 - 10
f(x+5) = x² + 13x + 40 - 10
f(x+5) = x² + 13x + 30
x² + 13x + 30 = x² + kx + 30
hence, k = 13
Smallest zero = The smallest x value.
f(x+5) = x² + 13x + 30
Let's take f(x+5) = 0
x² + 13x + 30 = 0
which two numbers products give us 30 and add up to 13?
== 6 and 5
(x+6)(x+5) = 0
x+6 = 0
x = -6
x+5 = 0
x = -5
The two solutions are -6 and -5
The smallest out of these two is -6.
