Answer:
??
Step-by-step explanation:
Answer:
The point-slope form would be y - 4 = x - 2
Step-by-step explanation:
In order to find the equation of the line, we first need to find the slope. For that, we use the slope formula.
m (slope) = (y1 - y2)/(x1 - x2)
Now we plug the numbers into the equation.
m (slope) = (y1 - y2)/(x1 - x2)
m (slope) = (4 - -1)/(2 - -3)
m (slope) = 5/5
m (slope) = 1
Now we can use point-slope form along with the slope and either point to write the equation.
y - y1 = m(x - x1)
y - 4 = (x - 2)
Answer:
p =
and q = 
Step-by-step explanation:
Given equations:
2p - 3q = 4 -----------(i)
3p + 2q = 9 ------------(ii)
Let's solve this equation simultaneously using the <em>elimination method</em>
(a) Multiply equation (i) by 3 and equation (ii) by 2 as follows;
[2p - 3q = 4] x 3
[3p + 2q = 9] x 2
6p - 9q = 12 -------------(iii)
6p + 4q = 18 -------------(iv)
(b) Next, subtract equation (iv) from equation (iii) as follows;
[6p - 9q = 12]
<u> - [6p + 4q = 18] </u>
<u> -13q = -6 </u> -----------------(v)
<u />
<u>(c)</u> Next, make q subject of the formula in equation (v)
q = 
(d) Now substitute the value of q =
into equation (i) as follows;
2p - 3(
) = 4
(e) Now, solve for p in d above
<em>Multiply through by 13;</em>
26p - 18 = 52
<em>Collect like terms</em>
26p = 52 + 18
26p = 70
<em>Divide both sides by 2</em>
13p = 35
p = 
Therefore, p =
and q = 
Answer:
Solution given:
length of cube[a]=6ft
volume of cube =a³=6³=216ft³
again
For cylinder
d=4ft
r=2ft
h=6ft
volume of cylinder=πr²h=π×2²×6=75.4ft³
Now
remaining volume=216-75.4=<u>140.6ft³</u>
is a required answer.