We have the parabola with equation y = 4x².
We have to determine the shape and direction of it.
If we compare it to the standard equation y = ax² + bx + c, we can see that a = 4, b = 0 and c = 0.
As the value of a is positive, the parabola will open upward.
The parameter has an absolute value greater than 1. This means that y increases "faster" relative to x that a parabola with a = 1.
This means that the parabola will be narrow about its line of symmetry which we call vertical strecth.
Answer:
Because a is positive the parabola opens upward.
Because a has an absolute value larger than 1 the parabola is narrow about its line of symmetry which we call vertical stretch.
Answer:
#1 should be -22/7
Step-by-step explanation:
16+2x
You can’t simplify anymore since there’s no other variable or whole number.
The answer for this would be
C = 5000 + 200t
Answer:
9) JK = 24.5
10) LM = 24.5
11) m∡L = 51°
12) m∡M = 129°
Step-by-step explanation:
in a parallelogram, adjacent angles are supplementary (add to 180 degrees) and are also congruent
so, ∡K = ∡M and ∡J = ∡L
since ∡'s L and M are adjacent we can add them and set them equal to 180
5z - 6 + 2z - 3 = 180
7z - 9 = 180
7z = 189
z = 27
therefore, m∡M = 5(27)-6 = 129 and m∡L = 180-129, or 51
Also in a parallelogram, opposite sides are equal; so KJ = LM and KL = JM
7x = 3x + 14
subtract 3x from each side to get:
4x = 14
x = 14/4 = 3.5
to find measure of JK, substitute 3.5 for 'x' to get (3.5)(7) = 24.5
to find measure of LM, substitute 3.5 for 'x' to get (3.5)(3)+14 = 24.5
