Answer: He rides for 2.5 hours or 2 and a half hours.
Step-by-step explanation:
He needs to complete a trajectory of 22.5 kilometers.
He rides 9 kilometers per hour.
Divide the total by the amount of kilometers that he rides.
ANSWER
See explanation
EXPLANATION
The table contains these two points (-4,-3) and (2,-4.5)
The slope of this line is given by;
The y-intercept can be obtained by finding the equation of the line in the form:
We plug in the slope and the point (-4,-3) to find c.
This implies that,
Hence the y-intercept is -4.
The given line is
This is already in the slope intercept form:
The slope is
The y-intercept is c=1
There are 12 inches in 1 foot, and each bracelet takes 6 inches
12 divided by 6 = 2
there can be 2 bracelets per foot of yarn
5 x 2 = 10 bracelets can be made
let me know if you have any further questions
:)
<span>A)x-y+3 is your answer
Proof:
(5 x)/4 - 8 y - x/4 + 7 y + 3
Put each term in (5 x)/4 - 8 y - x/4 + 7 y + 3 over the common denominator 4: (5 x)/4 - 8 y - x/4 + 7 y + 3 = (5 x)/4 - (32 y)/4 - (x)/4 + (28 y)/4 + 12/4:
(5 x)/4 - (32 y)/4 - x/4 + (28 y)/4 + 12/4
(5 x)/4 - (32 y)/4 - x/4 + (28 y)/4 + 12/4 = (5 x - 32 y - x + 28 y + 12)/4:
(5 x - 32 y - x + 28 y + 12)/4
Grouping like terms, 5 x - 32 y - x + 28 y + 12 = (28 y - 32 y) + (5 x - x) + 12:
((28 y - 32 y) + (5 x - x) + 12)/4
28 y - 32 y = -4 y:
(-4 y + (5 x - x) + 12)/4
5 x - x = 4 x:
(-4 y + 4 x + 12)/4
Factor 4 out of -4 y + 4 x + 12:
(4 (-y + x + 3))/4
(4 (-y + x + 3))/4 = 4/4×(3 + x - y) = 3 + x - y:
Answer: 3 + x - y
</span>
Ok
First factor out the first 2 terms as follows:-
y = 1/2(x^2 - 8x) + 21
Now complete the square on x^2 - 8x:-
y = 1/2[ (x - 4)^2 - 16] + 21
y = 1/2(x - 4)^2 - 8 + 21
y = 1/2(x - 4)^2 + 13 Answer
