Answer:
Starting from the one on the left.
Upper left:
145 degrees
Down left:
35 degrees
Down right:
145 degrees.
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Now for the right image.
Upper left:
153 degrees
Down left:
27 degrees
Down right:
153 degrees
Step-by-step explanation:
Apply the same steps for the second image as for the first.
One thing to keep in mind is that a flat line (horizontal or vertical), as an angle of 180 degrees.
And another useful reminder is that opposed angles have the same degree.
Starting from the one on the left.
Upper left:
180 - 35 = 145 degree
Down left:
since it is opposed to the upper right angle which is 35 degrees this one is also equal to 35 degrees.
Down right:
since it is opposed to the upper left angle which is 145 degrees this one is also equal to 145 degrees.
You can always double check by making sure one flat side (left or right or up or down), is equal to 180 degrees.
example: on the right image, for the down part, I wrote as answers 27 degrees (for down left because it is opposed to upper right) and 153 degrees (for down right because it is opposed to upper left) => 153 + 27 = 180 degrees
Answer:
infinite
Step-by-step explanation:
Answer:
y = -4x² + 32x - 48
Step-by-step explanation:
The standard form of a quadratic equation is
y = ax² + bx + c
We must find the equation that passes through the points:
(2, 0), (6,0), and (3, 12)
We can substitute these values and get three equations in three unknowns.
0 = a(2²) + b(2) + c
0 = a(6²) + b(6) + c
12 = a(3²) + b(3) + c
We can simplify these to get the system of equations:
(1) 0 = 4a + 2b + c
(2) 0 = 36a + 6b + c
(3) 12 = 9a + 3b + c
Eliminate c from equations (1) and (2). Subtract (1) from (2).
(4) 0 = 32a + 4b
Eliminate c from equations (2) and (3). Subtract (3) from (2).
(5) -12 = 27a - 3b
Simplify equations (4) and (5).
(6) 0 = 8a + b
(7) -4 = 9a - b
Eliminate b by adding equations (6) and (7).
(8) a = -4
Substitute (4) into (6).
0 = -32 + b
(9) b = 32
Substitute a and b into (1)
0 = 4(-4) + 2(32) + c
0 = -16 + 64 + c
0 = 48 + c
c = -48
The coefficients are
a= -4, b = 32, c = -48
The quadratic equation is
y = -4x² + 32x - 48
The diagram below shows the graph of your quadratic equation and the three points through which it passes.
Answer:
2/3
Step-by-step explanation:
Do 1/3 divided by 4/5 first.
So we are going to flip 4/5 to 5/4. The equation is now:
1/4+1/3 times 5/4
Now we are going to do the multiplication since multiply and division is before adding and subtraction.
1/3 times 5/4 = 5/12
Now we have to add 1/4+5/12
With adding ( and subtracting) we have to find the common denominator which is 12
So now we have 3/12 + 5/12 = 8/12 which reduces to 2/3
Answer:
5.89 feet.
Step-by-step explanation:
I just took the test :)
