Since 5 is a odd number and 46 is even, the only number that can go into both evenly is 1.
<h3>
Answer: x = 61</h3>
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Explanation:
The angle x and the 29 degree angle combine to form a 90 degree angle. This is because the square maker on the left has that angle at 90 degrees, and all of the angles combine to form 180. So 180-90 = 90 is the left over amount.
Add up x and 29 to get 90
x+29 = 90
Solve for x by subtracting 29 from both sides
x+29-29 = 90-29
x+0 = 61
x = 61
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An alternative is to solve the equation below for x
x+29+90 = 180 ... see note below
x+119 = 180
x+119-119 = 180-119 ... subtract 119 from both sides
x = 61
we get the same answer
note: this equation turns into x+29 = 90 if you subtracted 90 from both sides
6)
A quadratic function has the form
y = ax^2 + bx + c
Use point (3, 5) in the equation above:
5 = a(3^2) + 3b + c
5 = 9a + 3b + c
9a + 3b + c = 5 Equation 1
Use point (4, 3) in the equation above:
3 = a(4^2) + 4b + c
16a + 4b + c = 3 Equation 2
Use point (5, 3) in the equation above.
5 = a(5^2) + 5b + c
25a + 5b + c = 5 Equation 3.
Now solve the system of equations of equations 1, 2, and 3 to find the coefficients, a, b, and c.
9a + 3b + c = 5
16a + 4b + c = 3
25a + 5b + c = 5
Subtract the first equation from the second equation.
Subtract the second equation from the third equation.
You get
7a + b = -2
9a + b = 2
Subtract the first equation above from the second equation to get.
2a = 4
a = 2
Substitute:
7a + b = -2
7(2) + b = -2
b = -16
9a + 3b + c = 5
9(2) + 3(-16) + c = 5
18 - 48 + c = 5
c - 30 = 5
c = 35
The equation in standard form is
y = 2x^2 - 16x + 35
We can find it in vertex form:
y = 2(x^2 - 8x) + 35
y = 2(x^2 - 8x + 16) + 35 - 32
y = 2(x - 4)^2 + 3
Answer:
A. Selecting one person from a group of four boys and two girls.
Step-by-step explanation:
A dice has six sides and here we have six people we're trying to choose from. If each person is assigned a number on the dice rolling the dice once will pick out of the six of them.
Check the picture below
use the far-arc near-arc equation
bear in mind, your far-arc and near-arc are both in y-terms, so, the angle will be in y-terms as well
