Step-by-step explanation:
Explanation:
Because
(2,6) is in the function, we can plug
6 as y
and
2 as x.
From that we get
6=a(2−1)2+k
6=a+k
Same for the next point:
12=a(3−1)2+k
12=22a+k
12=4a+k
Now we have this system of equations to solve:
a+k=6
4a+k=12
Solving it leads to the conclusion that
a=2,k=4 .
solution: option D is correct i.e., withdrawing money from savings.
explanation:
if someone is taking home loan then he has to pay it back also. but if he is withdrawing money from savings then he will don't have money to return in future. so he should save as much as he can.
so withdrawing money from savings would have a negative impact on determining eligibility for a home loan.
Answer:
1. To eliminate x-term, multiply the second by -2
2. To eliminate y-term, multiply the second by 3
Step-by-step explanation:
4x - 9y = 7 (1)
-2x + 3y = 4 (2)
1. To eliminate x-term, multiply the second by -2
-2x + 3y = 4 (2) × 2
-4x + 6y = 8 (3)
4x - 9y = 7 (1)
Add (3) and (1)
6y - 9y = 8 + 7
-3y = 15
y = 15/-3
y = -5
4x - 9y = 7 (1)
4x - 9(-5) = 7
4x + 45 = 7
4x = 7 - 45
4x = -38
x = -38/4
x = -9.5
4x - 9y = 7 (1)
-2x + 3y = 4 (2)
2. To eliminate y-term, multiply the second by 3
-2x + 3y = 4 (2) × 3
-6x + 9y = 12 (3)
4x - 9y = 7 (1)
-6x + 4x = 12 + 7
-2x = 19
x = 19/-2
x = -9.5
4x - 9y = 7 (1)
4(-9.5) - 9y = 7
-38 - 9y = 7
-38 - 7 = 9y
-45 = 9y
y = -45/9
y = -5
Answer:
(1,4)
Step-by-step explanation:
(1,-4) is over 1 and down negative 4 so reflected over the x-axis(the horizontal one) it would be four up so the answer is (1,4)
Answer:
The length of the bottom side of the banner is 17 in.
Step-by-step explanation:
Given,
Area of the Banner = 
Height of the Banner = 24 in
Top side of the Banner = 14 in
We have to find the length of the bottom side of the banner.
Solution,
Let the length of the bottom side of the banner be 'x'.
Since the banner is in the shape of trapezoid.
So according to the formula of area of trapezoid, which is;
Area of trapezoid =
Here top and bottom sides are parallel and distance between them is equal to the height of the banner.
Now substituting the values, we get;
Hence The length of the bottom side of the banner is 17 in.
