Answer:
Expression: 2.89+(1.28x3) Answer: 6.73
Step-by-step explanation:
Number 1
Answer:
y = -2x^2 - 4x - 1
Step-by-step explanation:
We can see that the graph passes through (-2, -1), (-1, 1) and (0, -1).
Let's solve
ax^2 + bx + c = y
a(-2)^2 + b(-2) + c = -1
4a - 2b + c = -1
a(-1)^2 + b(-1) + c = 1
a - b + c = 1
a0^2 + b0 + c = -1
c = -1
we got c = -1 so we input it into the other 2
4a - 2b - 1 = -1
4a - 2b = 0
2a - b = 0
2a = b
a - b - 1 = 1
a - b = 2
a = b + 2
Let's input b = 2a
a = 2a + 2
-a = 2
a = -2
b = 2a = 2*(-2) = -4
c = -1
y = -2x^2 - 4x - 1
Given that <span>DG, EG, and FG are perpendicular bisectors of the sides of △ABC, this means that the point of intersection, G, is the circumcenter of the triangle and hence A</span><span>G, BG, and CG are equal.
Given that </span><span>DG = 5 cm and BD = 12 cm, then
![BG= \sqrt{DG^2+BD^2} \\ \\ = \sqrt{5^2+12^2} = \sqrt{25+144} \\ \\ = \sqrt{169} =13](https://tex.z-dn.net/?f=BG%3D%20%5Csqrt%7BDG%5E2%2BBD%5E2%7D%20%20%5C%5C%20%20%5C%5C%20%3D%20%5Csqrt%7B5%5E2%2B12%5E2%7D%20%3D%20%5Csqrt%7B25%2B144%7D%20%20%5C%5C%20%20%5C%5C%20%3D%20%5Csqrt%7B169%7D%20%3D13)
Since AG = BG = CG, therefore, CG = 13 cm.</span>
21.27*40= Annual premium is 850.8 51% of 850.8 is 433.9 ---> semi annual his quarterly is 26% of 850.8 so 221.2 and finally his monthly premium is 9 percent of 850.8 so it's 76.57
Answer:
A =
![cm^{2}](https://tex.z-dn.net/?f=cm%5E%7B2%7D)
Step-by-step explanation:
∵ The diameter of the mug is 8 cm and using to cut out circular cookies
∴ The diameter of each circular cookie is 8 cm
∴ Its radius = 8 ÷ 2 = 4
∵ Area of the circle = ![\pi r^{2}](https://tex.z-dn.net/?f=%5Cpi%20r%5E%7B2%7D)
∴ Area = ![\pi 4^{2}=16\pi cm^{2}](https://tex.z-dn.net/?f=%5Cpi%204%5E%7B2%7D%3D16%5Cpi%20cm%5E%7B2%7D)