12=4x-3y Begin by moving the 4x away from the y. -3y=-4x+12. To get y by itself, divide both sides by -3. y= 4/3x -4. Therefore the slope is 4/3.
He will burn 225 calories. if you divide 150/20 it will equal 7.5 then multiply 7.5 by 30 and you’ll get 225
Answer:
The flag pole is 38.96 feet tall.
Step-by-step explanation:
The angle of depression from the top of the flagpole to an object on the ground is 33°.
The object is 60 feet from the base of the cliff.
We need to find the height of the flag pole.
Here, base, B = 60 feet
We know that,

Put all the values to find P.

So, the flag pole is 38.96 feet tall.
Answer:
<em>Option C</em>
Step-by-step explanation:
Consider each of these graphs. Let us formulate an inequality for each of them, and match the one with an inequality of
;

Graph 3 is the only one that matches with the inequality provided to us.
* Note that shaded circles are represented by a greater / less than or equal to, and non - shaded circles are represented by a greater / less than sign.
<em>Solution ⇒ Graph 3</em>
Answer:
Option 3) y = 3x+1
Step-by-step explanation:
<u><em>Given equation is:</em></u>
y = 
Perpendicular => <u><em>It will have a slope of negative reciprocal to this slope</em></u>
So the ⊥ line has a slope = m = 3
Now,
Point = (x,y) = (1,4)
So, x = 1, y = 4
<u><em>Putting this in slope intercept form to get b</em></u>
=> 
=> 4 = (3)(1) + b
=> b = 4-3
=> b = 1
<u><em>Now, Putting m and b in the slope intercept form to get the required equation:</em></u>
=> y = 3x+1