Answer:
20 units²
Step-by-step explanation:
The x-intercepts are symmetrically located around the x-coordinate of the vertex, so are at
1.5 ± 5/2 = {-1, 4}
Using one of these we can find the unknown parameter "a" in the parabola's equation (in vertex form) ...
0 = a(4 -1.5)² +12.5
0 = 6.25a +12.5 . . . . . simplify
0 = a +2 . . . . . . . . . . . divide by 6.25
-2 = a
Then the standard-form equation of the parabola is ...
y = -2(x -1.5)² +12.5 = -2(x² -3x +2.25) +12.5
y = -2x² +6x +8
This tells us the y-intercept is 8. Then the relevant triangle has a base of 5 units and a height of 8. Its area is given by the formula ...
A = (1/2)bh = (1/2)(5)(8) = 20 . . . . units²
Answer: Third Option
yes; k = 4 and y = 4x
Step-by-step explanation:
Observe in the values of x and y given that when x decreases the variable-y also decreases.
Then the variation is direct.
Then, if between any two points of the function, the rate of variation k remains the same then the variation is constant.
We can test whether these conditions are met by using the given points.
(-2, -8) and (-4, -16)
The rate of variation k for these points is:
Now we calculate the variation rate for the points
(-4, -16) and (-6, -24)
The rate of variation is constant and equal to 4.
Then the answer is yes; k = 4 and y = 4x
Answer:
1109.12 sq inches is the answer sorry
Answer:
4/15 or 4:15
Step-by-step explanation:
We know a ratio is basically for everyone of this we will have a "x" number of the other for example
1:4 or 1:33
In order to solve this, all our data should be in the same unit
so in this case let's work with minutes
48min : 3hr after converting 3hr to min we get...
48min : 180min
now we can simplify this to make this visually easier im going to use a fraction format
48 24 12 4
------- ÷2 ---------- ÷2 -------- ÷3 ----- I can not simplify any further
180 90 45 15
So my answer is 4/15 or 4:15
The angle x and 70 are alternate interior so that means they measure the same.
In an isoceles triangle the base angles are the same so that means that both the x angles are 70.
Now we can subtract their sum by 180 to find the measure of angle 1.
180 - (70 + 70) = 40
So the measure of angle 1 is 40.
Hope this helps :)<span />