Answer:
x = 50
Step-by-step explanation:
The marked angles are vertical angles, so are congruent.
3x -3 = 147 . . . . congruent angles have equal measures
x -1 = 49 . . . . . divide by3
x = 50 . . . . . . add 1
We know that the graph goes in units of 1.
We know that the roots are -1 and 4. (Just assume it's accurate and not off by 0.0000000001.)
We can set it up as an equation: -1(x+1)(x-4) = y (I added -1 because there are two parabolas that go through those points on the x-axis, and since this parabola is facing down, I must add a negative a value.
Then multiply (F.O.I.L. - First, Outer, Inner, Last)
x^2 -4x + x - 4 = -(x^2 - 3x - 4) = -x^2 + 3x + 4
Then using -(b/2a) solve for vertex: -(3/-2) = 3/2
Plug 3/2 back into the equation.
-(3/2)^2 + 3(3/2) + 4 = -9/4 + (9/2) + 4 = 25/4
The vertex would be: (3/2, 25/4)
Axis of symmetry would be: x = 3/2
I think the answer is A.
So, when you are first given a set of data, order the numbers from least to greatest:
3, 4, 4, 5, 5, 5, 6, 6, 6, 8, 8, 8, 8, 9, 10, 10
Now we have to find the median...
3, 4, 4, 5, 5, 5, 6, (6, 6) 8, 8, 8, 8, 9, 10, 10
There is an even amount, so we have to add the 2 numbers in the middle and then divide by 2 to get the median. 6 + 6 = 12 /2 = 6
6 is the median. Now we have to find our minimum, maximum, and quartiles.
(3, 4, 4, (5, 5), 5, 6, 6) (6, 8, 8, (8, 8), 9, 10, 10)
Min= 3 , 1st quartile = 5, 2nd Quartile ( Median ) = 6 , 3rd Quartile = 8, Maximum = 10.
So you would plot the dots and connect the lines and make the box!
Hope this helps!
Answer:
M<2= 95° M<3=85° M<4=95°
Step-by-step explanation:
Remember that the angles could be either supplementary or congruent angles so since angle 2 and 1 are supplemental take 85 and subtract it from 180. So 2 =95 Now the congruent angle for angle 2 is 4 so 4=95. Applying the same property angle 1 is congruent to 3 so 3=85
Hope this helps!
Answer:
false
Step-by-step explanation:
The horizontal axis is the x axis.
I don't really know what your school wants in the blank but here's what I think it is:
The horizontal axis on the coordinate grid is the x axis.
Hope this helps! let me know if its right!
