Answer:
So if a line was parallel it would have same slope. You can search up what slope-intercept form means. But if you have an equation like this:
y = mx+b
The slope will be m. Your question is written in the form. 2/5 = m.
The slope is 2/5
The y-intercept is 4/5
Area of square = 24cm²
⇒ Length = √24
Find the diagonal of half the square:
a² + b² = c²
c² = (0.5√24)² + (√24)²
c² = 6 + 24
c² = 30
c = √30
The diagonal of half of the square is the radius of the circle.
⇒ radius = √30
Area of the semicircle = 1/2πr² = 1/2π(√30)² =15π
Answer: 15π²
Given:
The function is:
The graphs of functions 
and 
.
To find:
The function .
Solution:
We have,
The function is vertically compresses to get the graph of the function . So, the function is:
...(i)
From the given graph it is clear that the graph of the function passes through the point (3,3). So, putting 
and 
in the above function, we get
Putting 
in (i), we get
Therefore, the correct option is D.
The estimate for the total population size is 1600.
Setting up a proportion for this, we know that 150 out of our 300 turtle sample is marked; this is the first ratio for the proportion. We also know that we marked 800 of our total population, which we will call x:
150/300 = 800/x
Cross multiply:
150*x = 300*800
150x = 240000
Divide both sides by 150:
150x/150 = 240000/150
x = 1600
Answer:
The sum must be greater than 1
Step-by-step explanation:
Two fractions that are greater than 1/2 let's say
<u>Example 1</u>
3/4 and 7/8, the sum will be
3/4+7/8 with LCM of denominator as 8 sum=
which is more than 1
<u>Example 2</u>
6/9 and 5/8 with the LCM of denominator as 72, the sum=
which is greater than 1
<u>Example 3</u>
8/9 and 7/9 with the LCM of denominator as 9, the sum=
which is greater than 1
