<span>rotated 90° about the origin
(x,y) = (-y, x)
so </span><span>(5, -2) is rotated 90° about the origin = (2, 5)
answer
</span><span>b.(2, 5)</span>
Answer:
$28
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 10%/100 = 0.1 per year,
then, solving our equation
I = 70 × 0.1 × 4 = 28
I = $ 28.00
The simple interest accumulated
on a principal of $ 70.00
at a rate of 10% per year
for 4 years is $ 28.00.
Answer:
25.5 and 1.5
Step-by-step explanation:
AC = 12 cm
BC = 13.5 cm
12 + 13.5 = 25.5 cm
13.5 - 12 = 1.5 cm
Answer:
19
Step-by-step explanation:
given:
f(x)=3x²-8
g(x)=4x+1
g(-1) = 4(-1)+1
g(-1) = -4 + 1
g(-1) = -3
hence
f[g(-1)]
= f(-3)
= 3(-3)²-8
= 3(9) - 8
= 19
Answer:
a = -0.3575
Step-by-step explanation:
The points A and D lie on the x-axis, this means that they are the x-intercepts of the parabola, and therefore we can find their location.
The points A and B are located where
This gives
Now given the coordinates of A, we are in position to find the coordinates of the point B. Point B must have y coordinate of y=2 (because the base of the trapezoid is at y=0), and the x coordinate of B, looking at the figure, must be x coordinate of A plus horizontal distance between A and B, i.e
Thus the coordinates of B are:
Now this point B lies on the parabola, and therefore it must satisfy the equation
Thus
Therefore