Answer:
1 is the - Slope
4 is the y-intercept
Step-by-step explanation:
To find slope, you have to use two points and use the formula ![\frac{y2-y1}{x2-x1}](https://tex.z-dn.net/?f=%5Cfrac%7By2-y1%7D%7Bx2-x1%7D)
Here one point is (2,6), and other point is (4,8)
Substitute to get
which equals 1.
To find y-intercept, x should be 0. If x is 0 then why in this case would be 4
Answer:
7,387,128
Step-by-step explanation:
Seeing that the human has 3 meals a day they would consume 666.66 calories per meal
Answer:
80.78°
Step-by-step explanation:
When the 30 cm long string will be bent in the form of a sector it's two sides will be radii of the sector and lower part be the arc. Length of the arc can be found as given below.
Length of the string = 30 cm
radius of sector (r)= 8.8 cm
Length of the arc (l) = 30 - 2*8.8 = 30 - 17.6 = 12.4 cm
Let the sector makes
angle at the centre of the circle.
Formula for length of arc of a sector is given as:
![\huge \red{l=\frac{\theta}{360\degree}\times 2\pi r}](https://tex.z-dn.net/?f=%5Chuge%20%5Cred%7Bl%3D%5Cfrac%7B%5Ctheta%7D%7B360%5Cdegree%7D%5Ctimes%202%5Cpi%20r%7D)
Plugging the values of l and r in the above formula, we find:
![12.4 = \frac{ \theta}{360 \degree} \times 2(3.14)(8.8) \\ \\\implies12.4 = \frac{ \theta}{360 \degree} \times 55.264 \\ \\ \implies \: \theta = \frac{12.4 \times 360 \degree}{55.264} \\ \\ \implies \: \theta =80.775 \degree \\ \\ \implies \: \theta \approx \: 80.78 \degree](https://tex.z-dn.net/?f=12.4%20%3D%20%20%5Cfrac%7B%20%5Ctheta%7D%7B360%20%5Cdegree%7D%20%20%5Ctimes%202%283.14%29%288.8%29%20%5C%5C%20%20%5C%5C%5Cimplies12.4%20%3D%20%20%5Cfrac%7B%20%5Ctheta%7D%7B360%20%5Cdegree%7D%20%20%5Ctimes%2055.264%20%5C%5C%20%20%5C%5C%20%20%5Cimplies%20%5C%3A%20%20%5Ctheta%20%3D%20%20%5Cfrac%7B12.4%20%5Ctimes%20360%20%5Cdegree%7D%7B55.264%7D%20%20%5C%5C%20%20%5C%5C%20%5Cimplies%20%5C%3A%20%20%5Ctheta%20%3D80.775%20%5Cdegree%20%5C%5C%20%20%5C%5C%20%5Cimplies%20%5C%3A%20%20%5Ctheta%20%20%5Capprox%20%5C%3A%2080.78%20%5Cdegree)
It can be helpful to rearrange numerators and denominators so you can see the factors cancel. The result is negative if the number of negative factors is odd. Mixed numbers are often easier to multiply if changed to improper fractions first.
- (5/16)(-2)(-4)(-4/5) = -(5/5·(4·4)/16·2) = -2
- (2/3)(-4)(9) = -(9/3·2·4) = -24
- (2 3/5)(7/9) = 13/5·7/9 = (13·7)/(5·9) = 91/45
- (-3/4)(7/8) = -(3·7)/(4·8) = -21/32