y = ax^2 + bx + 7 because when x = 0 y = 7
when x = -1 y = 14 so we have
14 = a - b + 7
so a - b = 7...............(1)
when x = 1 y = 4
so 4 = a + b + 7
a + b = -3.................(2)
Adding equations (1) and (2) we eliminate b so:-
2a = 4
a = 2
Substitute a = 2 in equation (1)
2 - b = 7
b = -5
so our equation is y = 2x^2 - 5x + 7
The quadratic equation:
4x^2 + 34x + 60 = 0
4x^2 + 24x + 10x + 60 = 0
4x(x + 6) + 10(x + 6)
(4x + 10) (x + 6)
x = - 6 , - 5/2
the answer is : c. -6, -5/2
hope this help
Answer:
The angle is 90 degrees
Step-by-step explanation:
Required
Angle subtended by the diameter
The theorem to solve this is:
The angle subtended by an arc is twice the angle it subtends.
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<em>The diameter forms </em>
<em> on the circle, so we have:</em>
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Where
is the angle subtended
Solve for 

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Answer:
Paul might have written the expression
.
Step-by-step explanation:
Given:
Length of the leg 1 = a
Length of the leg 2 = b
Hypotenuse = h
We need the expression Paul has written:
Solution:
Now we know that;
The figure sketched by Paul is a right angle triangle.
Now by Pythagoras Theorem which states that;
"The square of the length of the hypotenuse is equal to sum of the square of the length of the legs."
equation can be framed as;

Hence Paul might have written the expression
.
3 over 8 plus 2 over 3 plus 1 over 3 = 11 over 8 or 1.375