The slope is 5/3 and the y- intercept is -2/3
Answer:
The answer is t=1/9
Step-by-step explanation:
If we substitute sqrt(t) = u, then we can write the equation as 3u^2+5u-2=0.
Using the <em>quadratic formula</em>, we can solve that <u>u = 1/3 and u = -2.</u>
We can go back to our original substitution and say that <em>sqrt(t) = 1/3</em>. The sqrt(t) can not be -2 because a <u>square root can not be negative.</u>
If we solve the equation sqrt(t) = 1/3, we get that t=1/9.
Answer:
Step-by-step explanation:
I'm going to assume you mean passes through the point (-2,5) since -2 and 5 could mean a lot of different things
To find the perpendicular line's gradient, you would know that m1*m2 = -1
In this case m1 = 7, so m2 must be -1/7
Now we substitute the gradient into the equation
y = -1/7x + b
To find b, we substitute (-2,5) into the equation above
5 = -1/7*-2+b
5 = 2/7 + b
b = 33/7
Therefore the equation of the line is
y = -1/7x+33/7
The volume of a cone is 1/3 pi*r^2 * h. Rearranging for height gives h = 3v / pi*r^2 = (3*294.38) / (3.14*7.5^2) = 5.00 (answer B)
Answer:
12n+5
Step-by-step explanation:
The difference is 12 so that means n is 12 and the +5 is what the number in the sequence is before 17