Step-by-step explanation:
Our coordinates are (6, 0) and (0, -3).
We can use the formula (y₂-y₁)/(x₂-x₁) to find the slope-intercept form (y=mx+b)
Now, we plug the coordinates into the formula and solve.
(0-(-3))/(6-0)
=3/6
=
So, the slope is .
Now, we have to find the y-intercept, which is the point where the line on the graph intersects with the y-axis.
We can find the y-intercept (which is represented by b) by plugging the information we already know into the formula.
We can use either pair of coordinates for the formula, so I'll use (6, 0).
y=mx+b
0=(6)+b
Now, we can solve.
0=3+b
Subtract 3 from both sides.
-3=b
The y-intercept is -3.
Answer:
y=x-3
Answer:
The amount of paper needed = 363.3 in²
Total amount of paper and plastic needed = 564.3 in
Step-by-step explanation:
As the diagram isn't given.
Consider a right cone shown in the ATTACHMENT.
where
r = 8 in
h = 12 in
First find the value of hypotenuse s by using Pythagoras theorem
<h3>Find Lateral Area:</h3>The amount of paper needed to cover the candle is lateral area, which is given by:
Total amount of paper and plastic is the surface area:
Answer:
(1) Area of second triangle= 50 cm^2.
(2) Area of ΔABC=98 cm^2.
and Area of ΔDFG=175 cm^2.
Step-by-step explanation:
<em>" For two similar triangles the ratio of sides is equal to the ratio of square of their areas".</em>
i.e. if a,b are the corresponding sides of two similar triangles and let A and B denote the area of two triangles then we have the relation as:
(1)
for the first question:
we have a=2, b=5.
A=8 cm^2.
Hence,
B=50 cm^2.
Hence, the area of second triangle is 50 cm^2.
(2)
In second option we have:
a=6 and b=5.
A-B=77 cm^2.
A=77+B
Hence area of second triangle i.e. ΔDFG is 175 cm^2.
and area of first triangle i.e. ΔABC=175-77=98 cm^2.