Rectangle ABCD has vertex coordinates A(1, -2), B(4, -2), C(4,-4), and D(1,

Mathematics

1 answer:

hram777 [196]3 years ago

4 0

The coordinates of C is, (3,-1)
A is the. Answer

You might be interested in

You wish to purchase a new car and can afford monthly repayments of up to $250 per month. You see a car you like for $12,000 and

White raven [17]

Answer:

Since the finance’s monthly required payment of $304.07 is greater than the $250 monthly that you can afford, this implies that you CANNOT afford to purchase the car on finance.

Step-by-step explanation:

The monthly required payment of the finance can be calculated using the formula for calculating the present value of an ordinary annuity as follows:

PV = M * ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)

Where;

PV = Present value or finance amount = $12,000

M = Finance’s monthly required payment = ?

r = Monthly interest rate = Annual interest rate / 12 = 17.9% / 12 = 0.179 / 12 = 0.0149166666666667

n = number of months = Number of years * 12 = 5 * 12 = 60

Substitute the values into equation (1) and solve for M, we have:

$12,000 = M * ((1 - (1 / (1 + 0.0149166666666667))^60) / 0.0149166666666667)

$12,000 = M * 39.464764662266

M = $12,000 / 39.464764662266 = $304.07

Since the finance’s monthly required payment of $304.07 is greater than the $250 monthly that you can afford, this implies that you CANNOT afford to purchase the car on finance.

4 0

3 years ago

Regular hexagon ABCDEF is inscribed in a circle with center H. What is the image of segment BC after a reflection over line FC?

AlladinOne [14]

Regular hexagon ABCDEF is inscribed in a circle with center H. What is the image of segment BC after a reflection over line FC?

5 0

3 years ago

Axis of symmetry: x=4; points: (3,-2), (6,-26); opening downward

Andru [333]

Vertex form is
y=a(x-h)^2+k
vertex is (h,k)
axis of symmetry is x=4, therfor h=4
y=a(x-4)^2+k

we have some points
(3,-2) and (6,-26)
input and solve for a and k

(3,-2)
-2=a(3-4)^2+k
-2=a(-1)^2+k
-2=a(1)+k
-2=a+k

(6,-26)
-26=a(6-4)^2+k
-26=a(2)^2+k
-26=a(4)+k
-26=4a+k

we have

-2=a+k
-26=4a+k
multiply first equation by -1 and add to second

2=-a-k
<u>-26=4a+k +</u>
-24=3a+0k

-24=3a
divide both sides by 3
-8=a

-2=a+k
-2=-8+k
add 8 to both sides
6=k

the equation is
$y=-8(x-4)^2+6$

3 0

3 years ago

The engine life for a certain brand of lawn mower is modeled by the function f(h) = 50 - 1 3 h where h represents hours used. Wh

Mkey [24]

Answer:

Step-by-step explanation:

The answer is c.

8 0

3 years ago

Solve -7x^2+x+9=-6x quadratic formula

myrzilka [38]

Answer: