Answer:
Step-by-step explanation:
1. When two chords intersect each other inside a circle, the products of their segments are equal. ... One chord is cut into two line segments A and B. The other into the segments C and D. This theorem states that A×B is always equal to C×D no matter where the chords are.
2. If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle . In the figure, m∠1=12(m⌢QR+m⌢PS) .
3. The intersecting chords theorem or just the chord theorem is a statement in elementary geometry that describes a relation of the four line segments created by two intersecting chords within a circle. It states that the products of the lengths of the line segments on each chord are equal.
P = ( 2 / 3 )s;
s = ( 3 / 5 )t ;
p + s + t = 280 ;
Then, p =( 2 / 3 )( 3 / 5 )t ;
p = ( 2 / 5 )t;
We solve the equation : ( 2 / 5 )t + ( 3 / 5 )t + t = 280 ;
( 2 / 5 )t + ( 3 / 5 )t + ( 5 / 5 )t = ( 1400 / 5 )t;
10t = 1400 ;
t = 1400 ÷ 10 ;
t = 140 postcards has Tim;
p = ( 2 / 5 ) × 140 = 56 postcards has Paul;
s = ( 3 / 5 ) × 140 = 84 postcards has Shawn ;
Answer:dy/dx=3x^2 + 2
Step-by-step explanation:
y=x^3 + 2x - 1
dy/dx=3x^2 + 2
Answer:
The solution is: (1,-3)
Step-by-step explanation:
Given equations are:
x-y=4 Eqn 1
4x+y = 1 Eqn 2
Substitution involves finding value of a variable from one equation and putting in other equation
From equation 1
x = y + 4
Putting in equation 2
Putting y = -3 in equation 1
Hence,
The solution is: (1,-3)
Answer:
Option D, 2x^2y(x - 1)(x^2 + x + 1)
Step-by-step explanation:
<u>Step 1: Factor</u>
2x^5y - 2x^2y
2x^2y(x^3 - 1)
<em>2x^2y(x - 1)(x^2 + x + 1)</em>
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Answer: Option D, 2x^2y(x - 1)(x^2 + x + 1)
