Answer:
x = 6
Step-by-step explanation:
5 (x - 3) + 2 = 5 (2x - 8) - 3
<em>remove the parenteses</em>
5x - 15 + 2 = 10x - 40 - 3
<h3><em>calculate</em></h3>
5x - 13 = 10x - 43
<h3><em>move the terms</em></h3>
5x - 10x = -43 + 13
<h3><em>collect like terms </em></h3><h3><em>calculate</em></h3>
-5x = -30
<h3><em>divide both sides</em></h3><h3><em /></h3>
Solution
x = 6
Step-by-step explanation:
Volume= [(20+20) x (20+20) x 100] - (20 x 20 x 100)
=120000cm^3
surface area= 2 x 40 x 100 + 2 x (40 x 40 - 20 x 20) + 4 x 20 x 100
=18400cm^2
Answer:
y=-2x+160
Step by Step:
The equation of a line can be determined using the point slope formula:
y-y1=m (x-x1)
To make a substitution, we must ensure we have the correct information. The question gives:
y1=60
x1=50
y=1/2x+10 This is the formula of a line that is perpendicular to the one we are trying to find.
It tells us that the gradient of the perpendicular line is 1/2. The gradient of the line we are trying to find can be found using m1×m2=-1 because we know that when lines are perpendicular, the product of their gradients must equal 1
So if we replace m1 with 1/2
1/2×m2=-1
m2=-2
We now have all the relevant information to make a substitution:
y-60=-2 (x-50)
expand brackets
y-60=-2x+100
rearrange to get in the form y=mx+b
y=-2x+160
By its center, hope this helps.
