Answer:
a) (1,3)
b) x=1
Step-by-step explanation:
The general form of a parabola in vertex form is f(x)=a(x-h)^2+k, where h is the x coordinate of the vertex, and k is the y coordinate, while a indicates how "squished" the graph is, or how quickly it grows in relation to the parent graph. In this case, h is shown to be 1, and k is 3, meaning that the vertex is at (1,3). The axis of symmetry , for a vertical parabola, just runs vertically through the vertex, meaning that in this case it is at x=1. Hope this helps!
The correct comparison as shown in the figures are:
- QR < QS
- AB > CD
- m<FJG > m<HJG
- m<QSP > m<QSR
From the given diagram, we are to fill in the blank spaces with a < or > symbol.
21) The measure of the angles is a function of the measure of the sides.
Since the angle facing the side QR is less than that of QS, hence QR < QS
22) Similarly for this figure, the angle facing the side AB is greater than that of CD, hence AB > CD
23) Also, for this figure, the side facing the angle m<FJG is greater than the side facing the angle m<HJG, hence m<FJG > m<HJG
24) Also, for this figure, the side facing the angle m<QSP is greater than the side facing the angle m<QSR, hence m<QSP > m<QSR
Learn more on angles here: brainly.com/question/16281260
The amortization formula can be used to figure this.
... A = P(r/n)/(1 -(1 +r/n)^(-nt))
where A is the monthly payment, P is the amount borrowed, r is the annual interest rate, n is the number of times per year interest is compounded, and t is the number of years.
Fill in the given information, and solve for P (in either order).
... 821.69 = P(.065/12)/(1 - (1 +.065/12)^(-12*30)) ≈ 0.00632068023P
... P ≈ 130,000.25 . . . . . divide by the coefficient of P
Rounded to the nearest dollar, you borrowed $130,000.
F(x) = 3x-6
add 6 to each side
6=3x
dived each side by 3
2=x
<span>\int_c\vec f\cdot d\vec r, in two ways, directly and using stokes' theorem. the vector field \vec f = 5 y\vec i - 5 x\vec j and c is the boundary of s, the part of the surface z = 16 -x^2-y^2 above the xy-plane, oriented upward.</span>