Let A and B represent the number of hours that plans A and B last, respectively. Then the problem statement tells you
7A +9B = 12
5A +3B = 6
There are many ways this set of equations can be solved. I find it fairly simple to use a graphing calculator. The one shown tells me the workouts are each 3/4 of an hour.
Plan A lasts 45 minutes (3/4 hour)
Plan B lasts 45 minutes (3/4 hour)
Answer for 1 is 22 degrees
Answer:
y-3 = 4/7(x-7)
Step-by-step explanation:
Point slope form is
y-y1 = m(x-x1)
We know the slope (4/7)
and a point (7,3)
Lets substitute into the equation
y-3 = 4/7(x-7)
Answer:
the slope intercept formula would be: y=3/4x-3. Hope this helps!
Step-by-step explanation:
Answer:
The value of x = 13cm and y = 12cm.
Step-by-step explanation:
P is the exterior point to the circle with centre O
Radius = 5cm
Length of the tangent = 12 cm
Distance between the point and centre of the circle = x cm
We know that
The angle between the radius of the circle and the tangent at the point of contact is 90°
By Pythagoras Theorem
Hypotenuse² = Side²+Side²
⇛x² = 12²+5²
⇛x² = 144+25
⇛x² = 169
⇛x² = 13²
<h3>⇛x = 13 cm</h3>
We know that
The lengths of tangents drawn from the exterior point to the circle are equal.
<h3>y = 12 cm</h3>
<u>Answer</u><u>:</u> The value of x=13cm and y = 12cm.
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