Answer:
There are 6 units between (-4, 9) and (-4, 3)
idk what the answers are for the others sorry
Step-by-step explanation:
yus
Answer:
Step-by-step explanation:
<u>Given</u>
<u />
<u>Swap x and y and solve for y</u>
<u />
<u>Final answer</u>
<u />
Keep in mind that we need to swap the variables because a function and its inverse are symmetrical about the line y=x. See the graph below.
Answer: the commission that she earns for selling each suit is $13
the commission that she earns for selling each pair of shoes is $8
Step-by-step explanation:
Let x represent the commission that she earns for selling each suit.
Let y represent the commission that she earns for selling each pair of shoes.
One week, she earned $47 in commission for selling 3 suits and a pair of shoes. It means that
3x + y = 47 - - - - - - - - - - 1
The next week, she earned $107 in commission for selling 7 suits and 2 pairs of shoes. It means that
7x + 2y = 107 - - - - -- - - - -2
Multiplying equation 1 by 2 and equation 2 by 1, it becomes
6x + 2y = 94
7x + 2y = 107
-x = -13
x = 13
Substituting x = -13 ,into equation 1, it becomes
3×13 + y = 47
39 +y = 47
y = 47 - 39 =
y = 8
Answer:
16
Step-by-step explanation:
Distance formula = 
Depending on which point is A and Which point is B, the answer is one of the two.
However, there is no such thing as negative distance, so your answer is 16 points in a certain direction.
Answer:
Yes, at positive x-coordinates.
Step-by-step explanation:
Finding the equation for g(x):
Slope = (3-6)/ (1-0) = -3
y-intercept = y value when x = 0 = 6.
So g(x) = -3x + 6
Solve them simultaneously:
x^2 + y^2 = 16
g(x) : y = -3x + 6
Substitute for y in the first equation:
x^2 + (-3x + 6)^2 = 16
x^2 + ( 9x^2 - 36x + 36) = 16
10x^2 - 36x + 20 = 0
5x^2 - 18x + 10 = 0
x = [-(-18) +/- sqrt ( (-18)^2 - 4 * -18 * 10)] / (5*2)
= ( 18 +/- sqrt 124 )/ 10
= (1.8) +/- 1,114
These 2 roots are both positive.
