Answer:
y=-2x+2
Step-by-step explanation:
Just follow the slope-intercept form formula-
Formula: y= mx+b
Key:
y = y-coordinate
m = slope
x = x-coordinate
b = y-intercept
Feel free to ask if you have any questions, hope this helps!(:
Answer:
The rational form of the given number 0.1777 = ![\frac{1777}{10,000}](https://tex.z-dn.net/?f=%5Cfrac%7B1777%7D%7B10%2C000%7D)
Step-by-step explanation:
The rational number is expressed as a number on the form of ![(\frac{p}{q} ) , q \neq 0](https://tex.z-dn.net/?f=%28%5Cfrac%7Bp%7D%7Bq%7D%20%29%20%2C%20q%20%5Cneq%200)
Now,here the given number in decimal form = 0.1777
To remove the decimal, firstly count the number of digits AFTER DECIMAL.
Here, number of digits after decimal = 4
SO, the decimal can be removed and replaced by 1 , by dividing with 1,0000.
![\implies 0.1777 = \frac{01,777} {10,000} = \frac{1777}{10,000}](https://tex.z-dn.net/?f=%5Cimplies%200.1777%20%20%3D%20%5Cfrac%7B01%2C777%7D%20%7B10%2C000%7D%20%20%3D%20%5Cfrac%7B1777%7D%7B10%2C000%7D)
Hence, the rational form of the given number 0.1777 = ![\frac{1777}{10,000}](https://tex.z-dn.net/?f=%5Cfrac%7B1777%7D%7B10%2C000%7D)
Answer:
The equation that matches the function shown is option;
C. ![y = sin\left (\dfrac{1}{2} \cdot x\right)](https://tex.z-dn.net/?f=y%20%3D%20sin%5Cleft%20%28%5Cdfrac%7B1%7D%7B2%7D%20%5Ccdot%20x%5Cright%29)
Step-by-step explanation:
The given graph of the function is a sinusoidal graph
The values of 'x' and 'y' coordinates at the maximum, x-intercept and minimum points are given as follows;
x,
y
0
0
π
1
2·π
0
3·π
-1
4·π
0
We note that sin(π/2) = 1, sin(π) = 0 sin(3·π/2) = -1, and sin(4·π/2) = sin(2·π) = 0
Therefore;
y = the sine of half the x-value
Which is presented as follows;
.
Answer:
Step-by-step explanation:
height of triangle=√(11²-8.6²)=√(11+8.6)(11-8.6)=√(19.6×2.4)
=√(4×4.9×4×0.6)=4√(4.9×0.6)=4√2.94
area of triangle=1/2 bh=1/2×2×8.6×4√2.94
=34.4×√2.94
≈58.984