Answer:
B as we start with X intercept =0
Step-by-step explanation:
x= 10 x 6 = 60
(v= 1/6x = 6x x 10y) x= 60v
y=10
When x=0 then y = 0 when x= 10 we have 10 minutes each count
So the graph will go up by 10 to 60 on the x axis.
value of nickle=6 and units of 10 nickles have value of 60
But this is a measure of time using nickles for x.
and measure of quarters can then show a pattern of zero each time. y=mc+x = 0 when y=0 = y=1x0+0 when x =6 and y=0
Answer:
Oy=2x+3
Step-by-step explanation:
CE = CD + DE;
17.1 = CD + 8;
CD = 17.1 - 8;
CD = 9.1;
The smallest amount of material needed is 54 square centimeters
<h3>How to determine the amount of material needed?</h3>
The given parameters are:
Volume = 36 cubic centimeters
Represent length with x, width with y and height with z.
So, we have
x = 3y
The volume is calculated as:
V = xyz
This gives
V = 3y²z
Substitute 36 for V
3y²z = 36
Divide by 3
y²z = 12
Make z the subject
z = 12/y²
The surface area is:
S = 2(xy + xz + yz)
This gives
S = 2(3y² + 3yz + yz)
Evaluate the like terms
S = 2(3y² + 4yz)
Expand
S = 6y² + 8yz
Substitute z = 12/y²
S = 6y² + 8y * 12/y²
This gives
S = 6y² + 96/y
Differentiate
S' = 12y - 96/y²
Set to 0
12y - 96/y² = 0
Multiply through by y²
12y³ - 96 = 0
Add 96 to both sides
12y³ = 96
Divide by 12
y³ = 8
Take the cube root of both sides
y = 2
Recall that:
x = 3y and z = 12/y²
This gives
x = 3 * 2 = 6
z = 12/2² = 3
Recall that:
S = 2(xy + xz + yz)
So, we have:
S = 2(6 * 2 + 3 * 3 + 2 * 3)
Evaluate
S = 54
Hence, the smallest amount of material needed is 54 square centimeters
Read more about surface areas at:
brainly.com/question/76387
#SPJ1
The <em>correct answer</em> is:
A) SSS
Explanation:
We are given the length of each side as well as the information that the pre-image sides are congruent to the image sides. This means we have side-side-side, or the SSS congruence theorem, to prove the triangles are congruent.
