Answer:
The distance between these two given points is:

Step-by-step explanation:
We are given two points:
(-3,7),(0,4)
<em>The distance between two points (a,b) and (c,d) is given by the distance formula as:</em>
<em>
</em>
similarly we can find the length of a line segment by considering the distance between the end points of the line segment.
So here (a,b)=(-3,7)
and (c,d)=(0,4).
Hence distance between these two points is given by:

Alright here it is:
-2/7x + y = -7
The answer is
round cake - 82.42 in²
rectangular cake - 114 in²
Round cake:
d = 7 in
r = d/2 = 7 in / 2 = 3.5 in
h = 2 in
The surface are of a cylinder is:
A = 2πr² + 2πrh
The surface are of the round cake (which is actually a cylindrical cake) excluding the bottom is:
A = 2πr² + 2πrh - πr²
A = πr² + 2πrh
A = 3.14 * 3.5² + 2 * 3.14 * 3.5 * 2
= 38.46 + 43.96
= 82.42 in²
Rectangular cake:
w = 6 in
l = 9 in
h = 2 in
The surface are of a rectangle is:
A = 2wl + 2wh + 2lh
The surface are of the rectangular cake excluding the bottom is:
A = 2wl + 2wh + 2lh - wl
A = wl + 2wh + 2lh
A = 6 * 9 + 2 * 6 * 2 + 2 * 9 * 2
= 54 + 24 + 36
= 114 in²
Step-by-step explanation: This answer is not mine but JcAlmighty’s so all credits go to them.
Answer:
The answer is -0.25.
Step-by-step explanation:
Using PEMDAS, add 9.5 + 11 first, which results in 20.5. Then substract 20.5 from 20.25, 20.25 - 20.5. This leads to -0.25 or -1/4.
Answer:
a. 
b. 
c.
or 
d.
or 
e. 
Step-by-step explanation:

Expand

Open brackets


Collect Like Terms


Express 25 as 9 + 16

Factorize:





Expand


Open Brackets

Collect Like Terms


Factorize

Expand the expression in bracket

Factorize:




Factorize


The answer can be in this form of further expanded as follows:

Apply difference of two squares


Express
as 

Expand



The answer can be in this form of further expanded as follows:

Apply difference of two squares


Represent as squares

Apply difference of two squares

Represent as squares

Apply difference of two squares
