If you go from point (-1, -3) to point (4, 4), you can find the slope of the line using the slope formula.
![m= \frac{4-(-3)}{4-(-1)}= \frac{7}{5}](https://tex.z-dn.net/?f=m%3D%20%5Cfrac%7B4-%28-3%29%7D%7B4-%28-1%29%7D%3D%20%5Cfrac%7B7%7D%7B5%7D%20%20)
. So our slope is 7/5. The line goes through the y axis at -3/2, so putting that together we get an equation for the line that is
![y= \frac{7}{5}x- \frac{3}{2}](https://tex.z-dn.net/?f=y%3D%20%5Cfrac%7B7%7D%7B5%7Dx-%20%5Cfrac%7B3%7D%7B2%7D%20%20)
, choice D from above.
Answer:
![x=20](https://tex.z-dn.net/?f=x%3D20)
![y=10\,\sqrt{3}](https://tex.z-dn.net/?f=y%3D10%5C%2C%5Csqrt%7B3%7D)
Step-by-step explanation:
In the triangle we have the following trigonometric equations:
![tan(60^o)=\frac{opposite}{adjacent} \\\sqrt{3} =\frac{y}{10} \\y=10\,\sqrt{3}](https://tex.z-dn.net/?f=tan%2860%5Eo%29%3D%5Cfrac%7Bopposite%7D%7Badjacent%7D%20%5C%5C%5Csqrt%7B3%7D%20%3D%5Cfrac%7By%7D%7B10%7D%20%5C%5Cy%3D10%5C%2C%5Csqrt%7B3%7D)
and also:
![cos(60^o)=\frac{adjacent}{hypotenuse}\\\frac{1}{2} =\frac{10}{x}\\x=20](https://tex.z-dn.net/?f=cos%2860%5Eo%29%3D%5Cfrac%7Badjacent%7D%7Bhypotenuse%7D%5C%5C%5Cfrac%7B1%7D%7B2%7D%20%3D%5Cfrac%7B10%7D%7Bx%7D%5C%5Cx%3D20)
Answer:
![y=100\cdot (1.07)^d](https://tex.z-dn.net/?f=y%3D100%5Ccdot%20%281.07%29%5Ed)
Step-by-step explanation:
Find the expression to represent how much you would expect a cub to weigh
days after it's born as exponential growth function
where
is the initial panda's weight and
is the rate of growth.
A newborn red panda weighs 100 grams, then ![a=100.](https://tex.z-dn.net/?f=a%3D100.)
A healthy cub gains about 7% of its newborn weight per day, then
![b=1+0.07=1.07](https://tex.z-dn.net/?f=b%3D1%2B0.07%3D1.07)
Hence,
![y=100\cdot (1.07)^d](https://tex.z-dn.net/?f=y%3D100%5Ccdot%20%281.07%29%5Ed)
(D) 4 shaded for every 2 unshaded! Hope this helps! :)