This value of "a" is exactly the y-coordinate of the vertex of the parabola
y = x%5E2+%2B+4x++-+31.
To find it, complete the square:
x%5E2+%2B+4x++-+31 = %28x%2B2%29%5E2+-+4+-+31 = %28x%2B2%29%5E2+-+35.
So, this value of "a" is a = -35.
Figure. Plot y = x%5E2+%2B+4x++-+31.
1km = 1000m
1h = 60min = 3600s
9000m/3600s plug it into calculator
Opposite angles formed by two intersecting lines are equal, so angle 1 is the same as angle 4. That means angle 1 = angle 5 as well.
<span>When a line intersects two parallel lines, the corresponding angles are equal. That is, if r and s are parallel, then the angles formed when l intersects r are the same s the angles formed when l intersects s. Angle 1 = Angle 5, Angle 2 = Angle 6, and so forth. Since we know angle 1 = angle 5, so from that you can see that r and s are parallel</span>
Answer:
-12
Step-by-step explanation:
The Equation:
z + 7 = -5
Solve for the variable, z by isolating it. Note the equal sign, what you do to one side, you do to the other.
Note the rule PEMDAS.
PEMDAS is the order of operation & =
Parenthesis
Exponents (& roots)
Multiplication
Division
Addition
Subtraction
Isolate the variable. To do so, subtract 7 from both sides:
z + 7 = -5
z + 7 (-7) = -5 (-7)
z = -5 - 7
Simplify:
z = -5 - 7
z = -12
-12 is your value for z.
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