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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Answer:
D
Step-by-step explanation:
Remember how absolute values turn everything inside of it into a positive number? Like |-4|=4 and |4|=4 as well.
Well, it works the same for equations.
When you have an absolute value equation like this, you have to split it into two parts.
The positive version
| d-3.5 | ≤ 1.5
and the negative version
|-(d-3.5)| ≤ 1.5
solve for the value of d in both equation.
<em>Remember that you have to flip the inequality sign when dividing or multiplying by a negative number</em>
I assume you know how to graph the inequality once you get the value for d.
d≤5 and d≥2
so
2 ≤ d ≤ 5
meaning d is between 2 and 5.
Answer:
x = 50
Step-by-step explanation:
10x + 300 = 800
subtract 300 from both sides
10x = 500
divide each side by 10
x = 50
29/50 represents the amount of remaining pepperoni pizza that the leader brought
Answer:
If we used the quadratic formula to solve the equation we can say:
-b = -5
b² - 4ac = 13
2a = 2
Solving the first and last equations we get b = 5 and a = 1. Substituting these values into the second equation we get:
25 - 4c = 13
Solving this we get c = 3 so the answer is x² + 5x + 3.
