Answer:
m=2 or y=2x+1
Step-by-step explanation:
first use the y2-y1/x2-x1 formula and then use y=mx+b formula
plug in 3 for y2 and 1 for y1
plug in 1 for x2 and 0 for x1
![\frac{3-1}{1-0} =\frac{2}{1} =2](https://tex.z-dn.net/?f=%5Cfrac%7B3-1%7D%7B1-0%7D%20%3D%5Cfrac%7B2%7D%7B1%7D%20%3D2)
so ur slope is 2
_______________
for y=mx+b *extra info ig if u need it just incase*
i usually use the first point for this but u can use any one u want
plug in 0 for x
plug in 1 for y
and plug in 2 for m
1=2(0)+b
2*0=0
1=0+b
subtract o on both sides
1=b and b is ur y-intercept
y=2x+1
hope this helps
The proof of the equation (sin²x) / (1-cosx) = (secx+1) / (secx) is given below.
<h3>What is trigonometry?</h3>
The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The equation is given below.
(sin²x) / (1-cosx) = (secx+1) / (secx)
Taking the left-hand side, then we have
⇒ [sin²x / (1 - cos x)] × [(1 + cos x) / (1 + cos x)]
⇒ [sin²x (1 + cos x)] / [1 - cos² x)]
⇒ [sin²x (1 + cos x)] / [sin² x)]
⇒ 1 + cos x
⇒ 1 + 1/sec x
⇒ (sec x + 1) / sec x = Right-hand side
More about the trigonometry link is given below.
brainly.com/question/22698523
#SPJ1
Y = 7/3 or 2.33333333
y = 3x - 7
+7. +7
——————
7y =3x
—. —
3. 3
y = 7/3 or 2.3333333
Answer:
![756\pi](https://tex.z-dn.net/?f=756%5Cpi)
Solution,
Volume of cone=270 pi cm^3
![\frac{1}{3} \pi \: {r}^{2} = 270\pi \\ or \: {r}^{2} \times 10 = 270 \times 3 \\ or \: {r}^{2} \times 10 = 810 \\ or \: {r}^{2} = \frac{810}{10} \\ or \: {r}^{2} = 81 \\ or \: r = \sqrt{81} \\ or \: r = \sqrt{ {9}^{2} } \\ r = 9 \: cm](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20%5C%3A%20%20%7Br%7D%5E%7B2%7D%20%20%3D%20270%5Cpi%20%5C%5C%20or%20%5C%3A%20%20%7Br%7D%5E%7B2%7D%20%20%5Ctimes%2010%20%3D%20%20%20270%20%5Ctimes%203%20%5C%5C%20or%20%5C%3A%20%20%7Br%7D%5E%7B2%7D%20%20%5Ctimes%2010%20%3D%20810%20%5C%5C%20or%20%5C%3A%20%20%7Br%7D%5E%7B2%7D%20%20%3D%20%20%5Cfrac%7B810%7D%7B10%7D%20%20%5C%5C%20or%20%5C%3A%20%20%7Br%7D%5E%7B2%7D%20%20%3D%2081%20%5C%5C%20or%20%5C%3A%20r%20%3D%20%20%5Csqrt%7B81%7D%20%20%5C%5C%20or%20%5C%3A%20r%20%3D%20%20%5Csqrt%7B%20%7B9%7D%5E%7B2%7D%20%7D%20%20%5C%5C%20r%20%3D%209%20%5C%3A%20cm)
Volume of semisphere:
![\frac{2}{3} \pi {r}^{3} \\ = \: \frac{2}{3} \times \pi \times 9 \times 9 \times 9 \\ = 486\pi](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B3%7D%20%5Cpi%20%7Br%7D%5E%7B3%7D%20%20%5C%5C%20%20%3D%20%5C%3A%20%20%5Cfrac%7B2%7D%7B3%7D%20%20%5Ctimes%20%5Cpi%20%5Ctimes%209%20%5Ctimes%209%20%5Ctimes%209%20%5C%5C%20%20%3D%20486%5Cpi)
Total:
![270\pi + 486\pi \\ = 756\pi](https://tex.z-dn.net/?f=270%5Cpi%20%2B%20486%5Cpi%20%5C%5C%20%20%3D%20756%5Cpi)
hope this helps...
Good luck on your assignment..