Answer:
The rate at which the radius is increasing
dr/dt = 1.91 cm/s
Step-by-step explanation:
The circumference C of a circle can be written as;
C = 2πr .....1
Where;
r = radius
The rate at which the circumference of the circle
is increasing can be written as dC/dt;
Differentiating equation 1, we have;
dC/dt = 2π dr/dt
Making dr/dt the subject of formula;
dr/dt = (dC/dt)/2π
Given;
dC/dt = 12cm/s
Substituting the value of dC/dt;
dr/dt = 12/2π
dr/dt = 1.909859317102 = 1.91 cm/s
The rate at which the radius is increasing dr/dt is 1.91 cm/s
The values of x that will give the quadratic equation no real number solutions are -5 and 9
<h3>What are real roots of a quadratic equation?</h3>
Real roots of a quadratic equation are values of x, whose numbers can be represented on a number line.
Analysis:
We have -
+3x +c = 0
- 4ac is called the discriminant of a quadratic equation.
if - 4ac < 0, then the quadratic equation has no real root.
where a = -1, b = 3 c = c
-4(-1)c < 0
9 + 4c < 0
4c < -9
c < -9/2
Which means values lower than -9/2 would give the solution no real root.
From, the options, only -5 would give no real solution, since it is lower than -9/2.
Learn more about real roots of a quadratic equation: brainly.com/question/7784687
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A = -10 b = 12 c = -9
x = [-12 +- sq root (144 - 4*-10*-9)] / -20
x = [-12 +- sq root (144 -360)] / -20
x1 = 3/5 + (14.7 i / -20)
x2 = 3/5 - (14.7 i / -20)
Step-by-step explanation:
1) r+28=180( being linear pair angle)
r=180-28
r=152
2) a= 110( being vertically opposite angle)
Answer:
5.2
Step-by-step explanation:
To find the height of the plant after 7 weeks, we need to find out the equation of the line of best fit and plug in 7 for x. We already have our y - intercept, which is 1, and we have a point on the x axis for which the y coordinate is an integer, (5, 4). Since we already have the y - intercept of +1 we have y = mx + 1. Since this applies to (5,4) we can plug this in to our equation. This is then 4 = 5m + 1. Subtracting 1 from both sides, we get 3 = 5m. Dividing by 5, we receive m = 3/5. Since now we have our slope, we can plug in 7 and find out our answer. Plugging in 7 we receive, y = 3/5 * 7 + 1, which is equal to y = 4.2 + 1. This means that y = 5.2, so 5.2 is our answer.
