Answer:
C. (5, -3)
Step-by-step explanation:
4x + 3y = 11
x - y = 8 (multiply by 3) --> 3x - 3y = 24
4x + 3y = 11
3x - 3y = 24
---------------------add
7x = 35
x = 5
5 - y = 8
y = 5 - 8
y = -3
(5, -3)
Answer:
C. (5, -3)
Step-by-step explanation:
Rewrite the first equation.
Multiply the second equation by 3 and write it under the first equation.
4x + 3y = 11
3x - 3y = 24
Now add the equations.
7x = 35
Divide both sides by 7.
x = 5
Substitute 5 for x in the original first equation:
4(5) + 3y = 11
20 + 3y = 11
3y = -9
y = -3
Solution: (5, -3)
300Pi cubic feet
1,500Pi cubic feet
2,250Pi cubic feet
6,000Pi cubic feet
1500 cubic feet water is needed to fill the tank. Option B.
Step-by-step explanation:
Given,
The diameter of the cylindrical water tank is 20 ft.
So, the radius (r) = 10 ft
Height (h) = 15 ft
To find the water to be filled in the tank we need to find out the volume.
Formula
volume of cylinder (V) = πr²h
Now,
Putting the values of r and h in the given formula we get,
V = π×10²×15 = 1500π cubic feet
Hence,
1500 cubic feet water is needed to fill the tank.
Answer:
b
Step-by-step explanation:
Answer:
its the multiplication property
Step-by-step explanation:
4) fall on a line with a slope of
-
7. What is the value of t?
t=
Answer:
t = -3
Step-by-step explanation:
To answer this problem, first you have to know how to calculate the slope of a line. Since we know that y1-y2/x1-x2 is the equation to calculate slope, we are ready to tackle this problem.
Because y1 is t, y2 is 4, x1 is 4, and x2 is 5, we can now plug this in to our equation. The equation becomes t-4/4-5. And because we know the slope is 7, the equation is now (t-4)/(4-5)=7. If you solve this equation, you will get that t=-3
Question:
Evaluate the expressions 3x - 2 and 4x + 4 for the following values of x. When you have found the value for each expression, write a statement using <, >, or = that shows how the two values are related. a. x = 0 b. x = -6 c. x = 5 d. x = -2
Answer:
Part a:
Part b:
Part c:
Part d:
Explanation:
Part a: Substituting , we get,
The value of is less than
Thus,
Part b: Substituting , we get,
The value of and are equal.
Thus,
Part c: Substituting , we get,
The value of is less than
Thus,
Part d: Substituting , we get,
The value of is less than
Thus,