The point-slope form:
We have
Therefore
<h3>slope = -3 and the point (-2, 6)</h3>
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<h3>y + 2 = 2(x - 1)</h3>
2x - y = 4 <em>it's standard form Ax + By = C</em>
y = 2x - 4 <em>it's slope-intercept form y = mx + b</em>
y - x = 4 →<em> </em>x - y = -4 <em>t's standard form Ax + By = C</em>
Answer:
At a point when r = 6 ft
The rate of change of Area with time is given as
(dA/dt) = 36π = 113.1 ft²/min
Step-by-step explanation:
Area of a circle, A = πr²
A = πr²
(dA/dt) = (dA/dr) × (dr/dt)
(dA/dr) = 2πr, (dr/dt) = 3
(dA/dt) = 2πr × 3 = 6πr
At a point when r = 6 ft
(dA/dt) = 6πr = 6π × 6 = 36π = 113.1 ft²/min
Answer:
(a)
Equation is
(b)900ft
Step-by-step explanation:
Let the distance of flower bed from hive to be d
Time the bee stays at the flower bed=11
Time the bee is away from the hive=15
Time the bed was flying to the flower bed and back to the hive will be;
15 -11=4 minutes--------------changes to seconds by multiplying by 60
=4*60=240 seconds
Formular for time is Distance/speed
Time of fright=240 seconds
Form expression for time of flying;
Time for flying from hive to flowerbed= d/10ft/s
Time for flying from flower bed to Hive= d/6ft/s
=This means
(a) Equation is
(b) The flower bed is 900ft away from the hive
brainly.com/question/13195377
Answer:
x = 14
Step-by-step explanation:
Extend line AB so that it intersects ray CE at point G. Then angles BGC and BAD are "alternate interior angles", hence congruent.
The angle at B is exterior to triangle BCG, and is equal to the sum of the interior angles at C and G:
138 = (376 -23x) +(x^2 -8x)
Subtracting 138 and collecting terms we have ...
x^2 -31x +238 = 0
For your calculator, a=1, b=-31, c=238.
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<em>Additional comment</em>
You will find that the solutions to this are x = {14, 17}. You will also find that angle BCE will have corresponding values of 54° and -15°. That is, the solution x=17 is "extraneous." It is a solution to the equation, but not to the problem.
For x=14, the marked angles are A = 84°, C = 54°.
