Step-by-step explanation:
when multiplied together, the gradients of the 2 graphs should equal -1 (of they are perpendicular).
x-7y=4
-7y= -x + 4
y= -1/7 x + 4/7
21x+ 3y=11
3y=-21x+11
y=-21/3 x + 11/3
-21/3 * -1/7 = 1
when multipled together, the 2 gradients dont equal -1 therefore they are not perpendicular
unless I've made a mistake with the signs at some point haha
(A)
Vertex:(0,4)
Focus : (0, -7/2)
Axis of symmetry: x = 0
Directrix : y = - 9/2
(B)
Vertex:(-3,-4)
Focus : (-3,-31/8)
Axis of symmetry: x = -3
Directrix: y = - 33/8
Hello from MrBillDoesMath!
Answer:
1 cubic inch.
Discussion:
If each side of the sugar cube is 1, the volume, which is the product of the length, width, and height, equals
1 * 1 *1 =
1 cubic inch.
Thank you,
MrB
Setting y=0, we can solve the quadratic equation or factor the polynomial to
(5x-1)•(5x-1) = 0
(5x-1)^2 = 0
5x-1=0
x=1/5 or 0.2
So there is only one root and the function intersects the x-axis at only one point.
The answer is B. 1.
We already know that he is trying to save 10 dollars a week and his goal is 300 so we know that has to be in the equation. 160 is the only one not mentioned in the back round information so we can say that the 160 dollars is the amount of money he already had saved before he started working
