The slope-intercept form is written under the form of
y=mx+b where m represent the slope and y represent y-intercept. In this case, we know that the m is 8, but we don't have b yet. To find the answer, substitute (0,5) into an equation where y=5 and x=0
y=mx+b
y=8x+b
5=8(0)+b
5=b, so we have the complete y-intercept form which is y=8x+b
Or
You can you this
y-y1=m(x-x1) where point (x1,y1) represent point (0,5) in this case which led to:
y-y1=m(x-x1)
y-5=8(x-0)
y-5=8x-8(0)
y-5=8x
Add 5 to each side
y-5+5=8x+5
y=8x+5 represent the slope-intercept form. Hope it help!
1. (0,1) , (1,6) , (2,11)
2. (0,10) , (1,9) , (2,8)
3. (0,0) , (1,2) , (2,4)
hope this helps.
Using simpler trigonometric identities, the given identity was proven below.
<h3>
How to solve the trigonometric identity?</h3>
Remember that:

Then the identity can be rewritten as:

Now we can multiply both sides by cos⁴(x) to get:

Now we can use the identity:
sin²(x) + cos²(x) = 1

Thus, the identity was proven.
If you want to learn more about trigonometric identities:
brainly.com/question/7331447
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25 tickets
I put the information into this equation 5+0.65x=10+0.45x
I solved the equation by first subtracting the 0.45x from both sides to get the variable on one side. I was left with 5+0.20x=10. Then I subtracted the 5 from both sides and got 0.20x=5. Finally I divided both sides by 0.20 to get the X by itself and got X=25
The total population in the region is 942000
<u>Step-by-step explanation:</u>
Radius of the region= 10 miles
Population density= 1500 per square mile
Area of the region = 2π(r x r)
= 2π(10 x 10)
=2(3.14) (100)
= 628 square miles
Population = 1500 x 628
= 942000
The total population in the region is 942000