Step-by-step explanation:
it is a right-angled triangle, so the side lengths need to fulfill the Pythagoras rule :
c² = a² + b²
where c is the Hypotenuse, the baseline opposite of the 90 degree angle. and a and b (often called legs) are the sides "enclosing" the 90 degree angle.
so, we have
20² = a² + 12²
400 = a² + 144
a² = 256
a = 16
FYI - we could have picked the right answer also by eliminating the wrong given answer options.
as this is a right-angled triangle :
a cannot be longer than the baseline (20).
that eliminates already the first 2 options.
and then look at the picture : a cannot be shorter than b (the other side line (12)).
that eliminates the third option.
Given two points; (x₁,y₁) and (x₂,y₂) the slope is:
m=(y₁-y₂) / (x₁-x₂) or m=(y₂-y₁) / (x₂-x₁)
In this case:
(4,3)
(5,2)
m=(5-4)/(2-3)=1/-1=-1
Answer: the slope is -1
Answer:
(4x+3)^2 = 18
16x+9=18
16x=9
<u>x=9/16</u>
Step-by-step explanation:
Answer:
$115.92
Step-by-step explanation:
To calculate compound interest, which Amount - Principal but we dont know the value for amount so we find the amount first by using the formula.
A = P ( 1 + <u>R</u> ) ^n
100
where p = principal ($800)
a = amount (?)
r = interest rate (7%)
n = time ( no of years) (2)
A = 800 ( 1 + <u>7 </u>) ^2
100 A = 800 ( 1 + 0.07) ^2
A = 800 ( 1.07)^2 = 800 ( 1.1449)
A = 915.92.
We then find compound interest with:
C = Amount - Principal = $915.92 - $800 = $115.92
Answer:
1
Step-by-step explanation:
cause if :
y=4
4(x)=4
4(1)=4
4=4
hope this helps
