Answer:
vertex = (- 5, - 8)
Step-by-step explanation:
Given a quadratic in standard form : ax² + bx + c = 0 : a ≠ 0
Then the x- coordinate of the vertex is
= - 
Given x² + 10x = - 17 ( add 17 to both sides )
x² + 10x + 17 = 0 ← in standard form
with a = 1, b = 10, c = 17, then
= - 
= - 5
Substitute x = - 5 into the quadratic for the corresponding value of y
y = (- 5)² + 10(- 5) + 17 = 25 - 50 + 17 = - 8
Hence vertex = (- 5, - 8)
To substitute, solve for one variable and then plug it into the other equation you have. In this problem, y is already solved for on the top equation (y=x+2), so you just stuff it into the second equation.
y = x + 2
3y = 4x - 2
3(x + 2) = 4x - 2
3x + 6 = 4x - 2
-x = -8
x = 8
y = x + 2 = 8 + 2 = 10
solution:
x = 8
y = 10
hope this helps!! :)
Step-by-step explanation:
Am sorry I can answer this cuz I dont see the picture
The probability that both of them have landed 5 is 1/7.
Two fair dice have been tossed,
The total of their top faces is found to be divisible by 5,
Probability is a branch of mathematics that deals with calculating the likelihood of a given event's occurrence, which is expressed as a number between 1 and 0.
The probability that both of them have landed 5 is
E={(x,y)|x+y=5 or x+y=10, 1≤x,y≤6},
F={(5,5)}.
P(F|E)= 1/7.
Hence, The probability that both of them have landed 5 is 1/7.
Learn more about probability here brainly.com/question/13016819
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