Salut. BC²=AC²-AB² , BC=√((10)²-(8)²) , BC=√(100-64) , BC=√36 , BC=6cm. J'espere t,avoir aidé
Find slope
slope betwen 2 points (x1,y1) and (x2,y2) is (y2-y1)/(x2-x1)
so
first make denoms same
denom is 10
(4/5,1/5) turns to (8/10,2/10)
(1/2,3/2) turns to (5/10,15/10)
slope=(15/10-2/10)/(5/10-8/10)=(13/10)/(-3/10)=13/-3=-13/3
use point slope
use (4/5,1/5)
y-y1=m(x-x1)
a point is (x1,y1) and slope is m
y-1/5=-13/3(x-4/5)
expand
wait, we don't need to do that, the only one with slope -13/3 is D
answer is D
<u>Given</u>:
The given expression is 
We need to determine the value of x using either base - 10 or base - e logarithms.
<u>Value of x:</u>
Let us determine the value of x using the base - e logarithms.
Applying the log rule that if
then 
Thus, we get;

Applying the log rule,
, we get;

Expanding, we get;

Subtracting both sides by
, we get;

Subtracting both sides by
, we get;

Taking out the common term x, we have;



Thus, the value of x is 
Answer:
It's 15.70796. Won't go in-depth since time seems to be of the essence
Step-by-step explanation:
Won't go in-depth since time seems to be of the essence
1. The formula for calculate the area of a rectangle, is:
A=LxW
A is the area of the rectangle
L is the length of the rectangle.
W is the widht of the rectangle
2. You have that:
-The<span> rectangular Corn Hole area has a width of 5 feet and a length of 10 feet, so:
L1=10 feet
W1=5 feet
- When</span> a uniform amount is added to each side (x), the area is increased to 84 feet². Then, you have a different length (L2) and a different width (W2):
3. The new length is:<span>
L2=L1+x+x
L2=L1+2x
L2=10+2x
4. The new width is:
W2=W1+x+x
W2=W1+2x
W2=5+2x
5. The new area is:
A2=84 feet</span>²<span>
6. Then, you have:
A=LxW
84</span>=(10+2x)(<span>5+2x)
7. When you apply the distributive property, you obtain a quadratic equation:
4x</span>²+30x-34=0
<span>
8. You can solve with by applyin the quadratic formula:
x=(-b±√(b^2-4ac))/2a
a=4
b=30
c=-34
9. Then, the answer is:
x=1 feet
</span><span>
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