Answer:
x - 8
Step-by-step explanation:
Plug in -1 for x and you get x - 8
Answer:
a = 8
b ≠ 18
Step-by-step explanation:
y = 4x - 7
2y = ax + b
For there to be no solution, the lines (if graphed) should be parallel meaning that their slopes are equal but the y-intercepts are different
y = mx +b is the equation of a line where m is the slope and b is the y-intercept
Multiply the first equation by 2
2y = 8x - 14
2y = ax + b
So a has to equal 8
b can be anything except 14 (otherwise the lines would be the same)
Answer:
Your solution is (-10/7, 92/7)
Step-by-step explanation:
12x + y = -4
y = 2x + 16
To use substitution, we want to plug one variable's equation into the other equation.
We can see that y is already solved for us. Plug y into the first equation.
12x + y = -4
12x + (2x + 16) = -4
Combine like terms.
14x + 16 = -4
Subtract 16 from both sides.
14x = -20
Divide both sides by 14.
x = -20/14
x = -10/7
Now that we know x, we will plug it into one of the other equations.
y = 2x + 16
y = 2(-10/7) + 16
Multiply.
y = -20/7 + 16
Add.
y = -20/7 + 112/7
y = 92/7
Your solution is (-10/7, 92/7)
Hope this helps!
Answer:
<u>65.4 cubic inches</u>
Step-by-step explanation:
Formula for the volume of a cone :
<u><em>Volume (cone) = 1/3πr²h</em></u>
<u><em /></u>
=============================================================
Given :
⇒ diameter = 5 in. → radius = <u>2.5 in.</u>
⇒ height = <u>10 in.</u>
<u />
===========================================================
Solving :
⇒ Volume (cone) = 1/3 × π × (2.5)² × 10
⇒ Volume (cone) = 62.5π/3
⇒ Volume (cone) = <u>65.4 cubic inches</u>
