It takes at least 12 hours for the newer machine to make 10,000 cans
Answer:
(i) k =1
(ii) y-intercept is 7
Step-by-step explanation:
<u>Given line:</u>
<u>Divide all terms by k to get slope-intercept form of the line</u>
<u>Since the gradient (slope) of the line is 2:</u>
<u>The equation is now:</u>
<u>y - intercept is found when x = 0</u>
- x = 0 ⇒
- y = 2*0 + 7
- y = 7
Answer:
30
Step-by-step explanation:
This problem can be done without the Distance Formula (which is a way to find the distance between any two points in the plane).
The attached image shows the points and segments joining them.
PQ = 5 because the points are on the same horizontal line, and you can count spaces between them (or subtract x-coordinates: 4 - (-1) = 5).
PR = 12 because the points are on the same vertical line; count spaces or subtract y-coordinates, 7 - (-5) = 12.
The triangle is a right triangle, so the Pythagorean Theorem can be used to find the length of the hypotenuse.


The perimeter of the triangle is 5 + 12 + 13 = 30
Answer:
Center: the middle of the circle. Radius: the fixed distance from the center to any point on the circle is called the radius.
Step-by-step explanation:
The center is a fixed point in the middle of the circle; usually given the general coordinates (h, k). The fixed distance from the center to any point on the circle is called the radius.
A) C + A = 630
B) 2C + 5A = 2,910 Multiplying A by -2
A) -2C -2A = -1,260 Then adding it to B
B) 2C + 5A = 2,910
3A = 1,650
A = 550
A) C + 550 = 630
Children's tickets = 80