Answer:
Step-by-step explanation:
If two lines are parallel, their slopes (gradients) will be the same.
Ensure both line equations are in the format y = mx + b (where m is the slope and b is the y-intercept):
Line L1: y = 2x + 5
Line L2: 2y - 4x = 6
⇒ 2y = 4x + 6
⇒ y = 2x + 3
As the slopes of L1 and L2 are both 2 and therefore the same, this proves that the two lines are parallel.
Answer:
A
Step-by-step explanation:
a^2+b^2=c^2 is the pythagorean theorem
solution a just has it flipped around
Answer:
- intercepts: (-3, 0), (5, 0)
- vertex: (1, -16)
Step-by-step explanation:
a. Compare the given equation to the standard form to see what the coefficients are:
ax^2 +bx +c = 0
x^2 -2x -15 = 0
Comparing these, we see that ...
a = 1, b = -2, c = -15
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b. Using the quadratic formula we find the intercepts to be ...
The x-intercepts of the function are (-3, 0) and (5, 0).
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c. The midpoint between the vertices is ...
x = (-3+5)/2
x = 1
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d. The value of the function for x=1 is ...
y = 1^2 -2(1) -15
y = -16
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e. The coordinates of the vertex are ...
(x, y) = (1, -16)
Alternate realities depending how you look at it, but in math, it's a measurement in one direction such as length width or height.
First one
20cm=diameter
perimiter of this one is (pi times radius^2)divided by 2+ 20
diameter=2radius
radius=diameter times 1/2
diameter=20
20/10=radius=10
3.14 times 10^2=314
314 times 1/2=157
157+20=177 cm
perimiter=177 cm