Answer:
1/2
Step-by-step explanation:
Answer:
Function 2
Step-by-step explanation:
The slope m is a measure of the rate of change.
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
Change both functions into this form
- 2x + 5y = 10 ( add 2x to both sides )
5y = 2x + 10 ( divide all terms by 5 )
y =
x + 2 ← in slope- intercept form
with slope m = ![\frac{2}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B5%7D)
- 6x + 3y = 18 ( add 6x to both sides )
3y = 6x + 18 ( divide all terms by 3 )
y = 2x + 6 ← in slope- intercept form
with slope m = 2
Now 2 > ![\frac{2}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B5%7D)
Thus Function 2 has the greater rate of change
Y=10°
If we're solving for the ninety degree angle, which I seem to doubt, then if 3x=90 then 2x=60 giving a missing total of 30. 30/3 equals 10
Answer:
The radius of the circle A is
times greater than the radius of circle B
Step-by-step explanation:
step 1
Find the scale factor
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
z-----> the scale factor
x----> the area of the clock A
y----> the area of the clock B
-----> equation A
we have
-----> equation B
substitute equation B in equation A
square root both sides
![z=\sqrt{2}](https://tex.z-dn.net/?f=z%3D%5Csqrt%7B2%7D)
step 2
Find how many times greater is the radius of Clock A than the Clock B radius
we know that
If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor
Let
z-----> the scale factor
x----> the radius of the clock A
y----> the radius of the clock B
![z=\frac{x}{y}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx%7D%7By%7D)
we have
![z=\sqrt{2}](https://tex.z-dn.net/?f=z%3D%5Csqrt%7B2%7D)
substitute
![\sqrt{2}=\frac{x}{y}](https://tex.z-dn.net/?f=%5Csqrt%7B2%7D%3D%5Cfrac%7Bx%7D%7By%7D)
![x=\sqrt{2}y](https://tex.z-dn.net/?f=x%3D%5Csqrt%7B2%7Dy)
therefore
The radius of the circle A is
times greater than the radius of circle B
Answer: its b
Step-by-step explanation: