Hi!
y = 16
x = 32
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In 30-60-90 triangles, the hypotenuse is double the length of the shortest leg, and the longer leg is times the shorter leg.</h3>
We are given the longest leg. To find the shortest leg, we must divide the longest leg value by
The radicals cancel out and we are left with 16.
The length of y (the shortest leg) is 16.
Now, we also know that the hypotenuse is double the shortest leg. The shortest leg is 16, so if we double that, it's 32.
Answer:
y = 8x+7
Step-by-step explanation:
firstly reduce the equation to an arithmetic series starting from the 0th term so:
7, 15, 23, 31, 39....
Secondly, identify the common difference: 8
we now know that the answer must contain 8x
Thirdly, form the equation 8x + c = y where y is a constant. Afterwards insert the values of any given x and y so:
8*0 + c = 7
c = 7
Thusly we now know that the series and thus equation is 8x+7 = y
Answer:
y = 2(x-3)^2 -12
y = -4/9(x-2)^2 +7 bonus
Step-by-step explanation:
The vertex form of a parabola is
y = a(x-h)^2 + k where (h,k) is the vertex
y = a(x-3)^2 - 12
We have one point given (0,6)
6 = a (0-3) ^2 -12
6 = a (-3)^2 -12
6 = 9a-12
Add 12 to each side
6+12 = 9a
18 = 9a
Divide each side by 9
18/9 = 9a/9
a=2
y = 2(x-3)^2 -12
We follow the same steps for the bonus
y = a(x-2)^2 +7
Substitute the point into the equation
3 = a (-1-2)^2 +7
3 =a (-3)^2 +7
3 = 9a +7
subtract 7 from each side
3-7 = 9a +7-7
-4 = 9a
Divide by 9
-4/9 =a
y = -4/9(x-2)^2 +7
CD = XY = 26 mm
hope that helps
Answer:
The simplified form of the given expression is (2x-1).
Step-by-step explanation:
Consider the given expression is
According to the Inverse Properties of In
In the given expression the power of e is (2x-1).
Using the Inverse Properties of In, we get
Therefore, the simplified form of the given expression is (2x-1).