To find the area of the triangle, you use the formula A=bh/2. This gives you the area of 49in^2 for the triangle, eliminating choices C and D. The area of the entire square is 14^2, or 196in^2, which gives us 4 when divided by the area of the triangle, 49in^2. Therefore, the answer is B, or that the area of the triangle is 49in^2 so she can create only 4 triangles.
Answer:
B
Step-by-step explanation:
If you don't understand some steps, comment it for me please.
1. Find diagonal.
d = 2r
d = 2(9)
d = 18
2. Find length of square.
each length of square = x
3. Find area of circle and square.
Area for circle
Area for square
4. Subtract area of circle to area of square.
254.4690... - 162 = 92.4690...
5. Find the shaded region.
92.4690... / 4 = 23.1172...
Rounded to the nearest hundredth = 23.12
To solve this problem shown in the image attached, you must apply the following proccedure:
1. You have the following quadratic equation:
2x^2-2x-12=0
2. When you factor the quadratic equation shown above, you obtain:
2(x^2-x-6)=0
2(x-3)(x+2)=0
3. Then, you obtain:
(2x-6)(x+2)=0
Therefore, as you can see, the correct answer is the Option C.
Answer:
Step-by-step explanation:
We can write the equation of a line in 3 different forms including slope intercept, point-slope, and standard depending on the information we have. We have a point (8,1) and a slope from the equation. We will chose point-slope since we have a point and slope.
Point slope:
in our new equation because it is perpendicular to it. This means we will need to change it into its negative reciprocal which is .
We will substitute and .
This is the equation of the line perpendicular to the equation given that crosses through (-2,3).
The correct notation is: x ∈ [-6, +∞)