<span>
4. The x-coordinate of the solution is 9.</span><span>
5. The y-coordinate of the solution is −8 .</span><span>
6.The ordered pair that is the solution to the system lies in Quadrant IV .</span><span>
Proof:
Solve the following system:
{4 x + 3 y = 12 | (equation 1)
{2 x + 3 y = -6 | (equation 2)
Subtract 1/2 × (equation 1) from equation 2:
{4 x + 3 y = 12 | (equation 1)
{0 x+(3 y)/2 = -12 | (equation 2)
Multiply equation 2 by 2/3:
{4 x + 3 y = 12 | (equation 1)
{0 x+y = -8 | (equation 2)
Subtract 3 × (equation 2) from equation 1:
{4 x+0 y = 36 | (equation 1)
{0 x+y = -8 | (equation 2)
Divide equation 1 by 4:
{x+0 y = 9 | (equation 1)
{0 x+y = -8 | (equation 2)
Collect results:
Answer: {x = 9 , y = -8</span>
Answer:
2,750+170d
Step-by-step explanation:
Calculation to Enter and simplify an expression for the amount in dollars that the company is paid
First step
Let d represent numbers of day
15(100+3d)
Second step is the Expression for the food booths
25(50+5d)
Third step is Expression for the game booths
15(100+3d)+25(50+5d)
Fourth step is the Expression for both game and food booths
15*100+15*3d+25*50+25*5d
=1,500+45d+1,250+125d
Fifth step is to make use of distributive Property
1,500+1,250+45d+125d
Last step is to make use of cumulative property
(1,500+1,250)+(45d+125d)
=2,750+170d (combine like terms)
Therefore expression for the amount in dollars that the company is paid is 2,750+170d
Answer:

Step-by-step explanation:
Use tangent function.

Take the arctan

which is about
0.98279372.
Convert from radians to degrees in you will get
56 degrees.
Answer:
6. 4.8m
7. a. 48 b. 31.4 c. 170
Step-by-step explanation:
6. 4.5^2 x 1.6^2 = c^2
22.81 = c^2
square root of 22.81 = 4.8
7.
a. 12^2 x 16^2 = c^2
400 = c^2
square root of 400 is 20, 20 + 12 + 16 = 48
b. 9^2 x b^2 = 13^2
88 = b^2
square root of 88 is 9.4, 9.4 + 9 + 13 = 31.4
c. 25^2 x b^2 = 65^2
3600 = c^2
square root of 3600 is 60, 60 + 60 + 25 + 25 = 170
Hello!
To solve this you have to find the ratio between the two cylinders
Cylinder 1 height is 30
Cylinder 2 height is 20
this is a 30:20 ratio
This can be reduced to a 3:2 ratio
Now you look for one that are also equal to 3:2
3 * 7 = 21
2 * 7 = 14
The answers are 3:2 and 21:14
Hope this helps!