Answer:
The Answer is: y = -1/4x + 6
Step-by-step explanation:
Given point: (4, 5)
Given equation: y = -1/4x - 11
Slope: m = -1/4, a parallel line will have the same slope.
Start with the point slope form and solve for y:
y - y1 = m(x - x1)
y - 5 = -1/4(x - 4)
y - 5 = -1/4x + 1
y = -1/4x + 1 + 5
y = -1/4x + 6
Proof:
f(x) = -1/4x + 6
f(4) = -1/4(4) + 6
= -1 + 6 = 5, giving (4, 5)
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Answer:
Step-by-step explanation:
1.2307692307692.
The first step is to find the proportionality constant.
The formula is
z = kx/y
1.2307692307692 = k * 4/13 Multiply both sides by 13
1.2307692307692 * 13 = 4k
16 = 4*k Divide by 4
k = 16/4
k = 4
=================================
z = k*x/y
x = 9
y = 20
k = 4
z = 4 *9/20
z = 36/20
z = 1.8
This is an impossible equation. If sqrt(x) = sqrt(x), and sqrt(x) + 2 = sqrt(x) + 12, then that would mean that 2=12, which is incorrect.
Answer:
Step-by-step explanation:
Answer:
They are compatible
Step-by-step explanation:
The first thing is to say that an "ace" and that it is a "coarse"
"ace" is card number 1. Group A
"coarse" is a type of the deck, found from number 1 to card 13. Group B
Thus:
Calculate A U B:
1 to 13 + 1 of the other types of cards in the deck.
At intersection B:
1 of "coarse"
Therefore, if group A is compatible with group B
. We will simplify the right side by squaring both terms. 
which simplifies even further to 
. In that polynomial, the leading coefficient, 4, is a perfect square, and so is the constant at the end, 9. So that polynomial is the sum of perfect squares. It will break down like this: 
so then taking the square root of both sides gives us that c = 2x + 3, choice on the top right.