If we have the equation of a line: y=ax+b
How to find a if with only the x<span>-intercepts (called m)</span> and y-intercepts (called n)
+ First we have y=0 and x=m or 0=a*m+b or b= -a*m
+ Then we have x=0, y=n or n=a*0+b or b=n
And if m≠0 we have a= -n/m
and if m=0 this line has no slope
143 square inches <span> </span>
Answer:
The correct answer is 12.
To get this you will divide 60minutes into 5.
You will get the answer "12"
Thus, there are 12, 5 minute segments, in one hour.
Hope this helps, good luck!
Answer & Explanation:
Energy is heat. For example, if you boil a cup of water it has more energy than a cup at room temperature. It is considered a physical change because its properties do not change only the state of matter. On the other hand, if wood burns then that is a chemical change because it changes its chemical properties. Please rank as Brainliest if this helps! Thank you!
Answer:
The other side was decreased to approximately .89 times its original size, meaning it was reduced by approximately 11%
Step-by-step explanation:
We can start with the basic equation for the area of a rectangle:
l × w = a
And now express the changes described above as an equation, using "p" as the amount that the width is changed:
(l × 1.1) × (w × p) = a × .98
Now let's rearrange both of those equations to solve for a / l. Starting with the first and easiest:
w = a/l
now the second one:
1.1l × wp = 0.98a
wp = 0.98a / 1.1l
1.1 wp / 0.98 = a/l
Now with both of those equalling a/l, we can equate them:
1.1 wp / 0.98 = w
We can then divide both sides by w, eliminating it
1.1wp / 0.98w = w/w
1.1p / 0.98 = 1
And solve for p
1.1p = 0.98
p = 0.98 / 1.1
p ≈ 0.89
So the width is scaled by approximately 89%
We can double check that too. Let's multiply that by the scaled length and see if we get the two percent decrease:
.89 × 1.1 = 0.979
That should be 0.98, and we're close enough. That difference of 1/1000 is due to rounding the 0.98 / 1.1 to .89. The actual result of that fraction is 0.89090909... if we multiply that by 1.1, we get exactly .98.