Answer:
Step-by-step explanation:
If I have 90 pounds shared between A, B, and C, then in a mathematical equation,
A + B + C = 90
However, we have way too many unknowns.
We are told that the ratio of A to B is 1 to 2, or
and cross multiplying,
2A = B or 
We are also told that the ratio of B to C is 4 to 3, or
and cross multiplying,
3B = 4C or 
Now we have everything in terms of B, so we will rewrite it like that:
, and
and
9B = 360 so
B = 40. If B is 40 and A is half of B, then A is 20.
2.6 because you substract
5x - 2y = 10
Isolating y:
-2y = 10 - 5x
y = (10 - 5x)/(-2)
y = 10/(-2) + (-5x)/(-2)
y = -5 + 5/2x
This equation has the slope-intercept form with a slope of 5/2 and a y-intercept of -5
Answer:
The Answer is B
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here diameter = 12, thus radius = 12 ÷ 2 = 6 and (h, k) = (2.5, - 3.5), thus
(x - 2.5)² + (y - (- 3.5))² = 6², that is
(x - 2.5)² + (y + 3.5)² = 36 ← equation of circle
Answer:
Figure 1: 226 
Figure 2: 111 
Step-by-step explanation:
For the first figure, you will split it into two rectangles. You would do 28 x 7 for the first rectangle and get 196. Then, you would do 6 x 5 for the second rectangle and get 30. You would then add these two numbers and get the area of 226 ft^{2}}.
For the second figure, you split it into one triangle and two rectangles. For the triangle, you would do 3 x 6 and then divide that by 1/2, since it is a triangle, and you get 9. For the first rectangle, you would do 10 x 7 and you would get 70. For the final rectangle, you would do 8 x 4 and get 32. You would then add all these numbers up and get the area of 111 mm^{2}.