Since we have two possible pieces of information and 2 items to solve for, we know this is a system of equations.
Our first piece of information is that our shorter leg (s) is 2 feet shorter than our longer leg (l). This can be written as s=l-2.
Our second piece of information is that using the Pythagorean theorem that our shorter leg squared plus our longer leg squared is equal to our hypotenuse squared. This can be represented by s^2+l^2=10^2. Now we can solve.
We have already isolated for s in our first equation, so we can substitute l-2 in.
(l-2)^2+l^2=10^2
l-2+l=10
2l-2=10
2l=12
l=6
Now we can substitute in for s in our simpler equation
s=6-2
s=4
We now know that using our knowledge of systems of equations, the side lengths of this right angle triangle are 6 and 4.
Answer:
<h3>
Bob walked faster than Ion.</h3>
Step-by-step explanation:
90/4=22.5
Ian - 1 mile in 22.5 minutes
2x60=120
60/2=30
120+30=150
150/7=21.43
Bob - 1 mile in 21.43
The answer is 148 degrees it’s congruent
Answer:
a) For a constant increment in x-variable, there is a constant increment in y-variable, for example, for x = 0 to x = 0.5 (increment = 0.5) y-variable goes from 60 to 62 (increment = 2); the same is valid for any couple of (x,y) values. This behaviour is characteristic of linear equations.
b) slope:
m = (increment in y-variable)/(increment in x-variable) = 2/0.5 = 4
y-intercept:
y1 = m*x1 + h
60 = 4*0 + h
60 = h
equation: y = 4x + 60
where y represents scores and x represents hours spent studying
c) The slope indicates that you need to study 1 hour to increase your score in 4 points
The y-intercept indicates that you will get at least a score of 60, even though you hadn't studied
The GDO these 3 countries respectively are $ 16.8 trillion, $ 9.2 trillion and $ 4,9 trillion. so the sum of the GDPGDP total = 16.8 + 9.2 + 4.9= 30.9
hence the percentage of the total output of the 3 largest economies is as follows:percentage = ( total gdp / total output of the world ) x 100
percentage = ( 30.9 / 73 ) x 100percentage = 42.33 %
