Answer:
62) vertex (-1,-4) x intercepts are (1,0) and (-3,0)
63) vertex (4,-4) x-intercepts are (6,0) and (2,0)
64) vertex (-3,-4) x-intercepts are (-1,0) and (-5,0)
65) vertex (-4,-1) x-intercepts are (-3,0) and (-5,0)
Step-by-step explanation:
Step-by-step explanation:
x+3y=-4(eqn1)
x=-4-3y
from (eqn 2)
2(-4-3y)+6y=5
-8-6y+6y=5
y=5+8=13.
y=13
from eqn 1
x+3(13)=-4
x+39=-4
x=-4-39
x=-43.
Answer: 5^2
Step-by-step explanation:
Since the base are all the same, you will add the exponents and let the exponents stay the same.
5^3 * 5^4= 5^7 * 5^-5= 5^2
<h2>
Answer:</h2>
y = 2
<h2>
Step-by-step explanation:</h2>
To determine the equation of the line that passes through (10,2) and (-3,2), we need to determine the slope of the line. Then substitute the slope and any given point in point slope form to obtain the equation of the line.
<h3>Finding the Slope of the line:</h3>


<u>Substitute the coordinates of the given points:</u>

<u>Simplify the equation to determine the slope:</u>

∴ 0 divided by ANY number is ALWAYS 0.

<h3>Finding the equation of the line:</h3>
Point slope form formula: y - y₁ = m(x - x₁)
- x₁ and y₁ are the coordinates of any given point.
- m is the slope
<u>Substitute the values in the point slope form:</u>


<u>Simplify the equation to determine the equation of the line:</u>
∴ Any number multiplied by 0 is 0.



Thus, the equation of the line is y = 2.
Answer:
V≈146.57ft^3
Step-by-step explanation:
V=πr^2·h/3 since d is 14.4, we would divide it by 2 to find the radius which is 7.2
so V= π(7.2)^2· (2.7)/3
V≈146.57ft^3
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