Answer:
Choice b.
.
Step-by-step explanation:
The highest power of the variable 
in this polynomial is 
. In other words, this polynomial is quadratic.
It is thus possible to apply the quadratic formula to find the "roots" of this polynomial. (A root of a polynomial is a value of the variable that would set the polynomial to 
.)
After finding these roots, it would be possible to factorize this polynomial using the Factor Theorem.
Apply the quadratic formula to find the two roots that would set this quadratic polynomial to . The discriminant of this polynomial is 
.
.
Similarly:
.
By the Factor Theorem, if 
is a root of a polynomial, then 
would be a factor of that polynomial. Note the minus sign between and 
.
- The root
corresponds to the factor 
, which simplifies to 
. - The root
corresponds to the factor 
, which simplifies to 
.
Verify that 
indeed expands to the original polynomial:
.
Answer:
Step-by-step explanation:
Area of the circle = 1400π
ie. πr^2 = 1400π . ie r^2 =1400. So r=10√14
Area A = πr^2.Differentiate w.r.t.t
dA/dt = 2πr. dr/dt
900 = 2×π×10√14 .dr/dt
So. dr/dt = 900/2×π×10√14 = 45/π√14 m/sec.
Hope this answer helps you :)
Have a great day
Mark brainliest
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Blue tripp:
Hikes 2/3 miles every 1/2 hour
Yellow troop:
Hikes 3/4 miles every 1/3 hour
How long does it take each troop to walk 1 1/2 miles, 1/2 mile, and 3/4 mile?
To hike 1 1/2 miles
Blue troop:
2/3 miles = 1/2 hours
3/2 miles = x
2/3x = 3/4
x = 3/4 * 3/2
x = 9/8 = 1 1/8 hours
Yellow troop:
3/4 = 1/3 hours
3/2 = x
3/4x = 3/6
x = 3/6 * 4/3
x = 12/18 = 2/3 hours
To hike 1/2 mile :
Blue troop:
2/3 miles = 1/2 hours
1/2 miles = x
2/3x = 1/4
x = 1/4 * 3/2
x = 3/8 hours
Yellow troop:
3/4 = 1/3 hours
1/2 = x
3/4x = 1/6
x = 1/6 * 4/3
x = 4/18 = 2/9 hours
To hike 3/4 miles :
Blue troop:
2/3 miles = 1/2 hours
3/4 miles = x
2/3x = 3/8
x = 3/8 * 3/2
x = 9/16 hours
Yellow troop:
3/4 = 1/3 hours
3/4 = x
3/4x = 3/12
x = 1/4 * 4/3
x = 4/12
x = 1/3 hours
Answer:
∣∣3.45∣∣=3.45
Step-by-step explanation:
Answer:
- The y-intercept is (0, -37/7).
Explanation:
When you have one point and the slope of a line you can find its equation by using the point-slope form of the linear function:
- m = slope
- point = (a, b)
- point-slope equation: (y - b) = m (x - a).
Now substitute m = -1/7 and (a,b) = (5, - 6)
Solve for y:
- y = -(1/7)x - 37/7 ← this is the slope-intercept form of the equation.
The y-intercept is the point when x = 0. So, the corresponding y-coordinate is the constant term in the last equation:
And the y-intercept is the point (0, -37/7).
