Step-by-step explanation:
A cooler contains 5 cans of soda, 2 colas 2 orange and 1 cherry. Two cans are selected at random without replacement. Find the p
1 answer:
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Answer: see proof below
<u>Step-by-step explanation:</u>
Use the Double Angle Identity: cos 2A = 2cos²A - 1
Use the Difference Identity: cos (A - B) = cosA · cosB + sinA · sinB
Use the Unit Circle to evaluate: cos (π/2) = 0 & sin (π/2) = 1
<u>Proof LHS → RHS</u>
LHS = RHS: sin A = sin A
Consider the picture.
Let MN be the midsegment of the trapezoid.
That is M is the midpoint of AD, N is the midpoint of BC.
Being the midsegment of the trapezoid, MN is parallel to the bases.
Let O and K be the intersections of the diagonals with the midsegment.
MN//AB, so MO//AB, and since M is the midpoint of DA, O must be the midpoint of DB,
Similarly we prove that K is the midpoint of CA.
Thus O is F and K is E.
O and K lie on the midsegment MN, so F and E lie on the midsegment.
MO is a midsegment of triangle ABD so |MO|=1/2 |AB|=1/2 * 10=5
MK is a midsegment of triangle ADC, so |MK|=1/2 * |DC|=1/2 * 22=11
|OK|=|MK|-|MO|=11-5=6 (units)
Let MN be the midsegment of the trapezoid.
That is M is the midpoint of AD, N is the midpoint of BC.
Being the midsegment of the trapezoid, MN is parallel to the bases.
Let O and K be the intersections of the diagonals with the midsegment.
MN//AB, so MO//AB, and since M is the midpoint of DA, O must be the midpoint of DB,
Similarly we prove that K is the midpoint of CA.
Thus O is F and K is E.
O and K lie on the midsegment MN, so F and E lie on the midsegment.
MO is a midsegment of triangle ABD so |MO|=1/2 |AB|=1/2 * 10=5
MK is a midsegment of triangle ADC, so |MK|=1/2 * |DC|=1/2 * 22=11
|OK|=|MK|-|MO|=11-5=6 (units)
Answer:
Therefore the equation of the line has a slope 2 and passes through ( 10 , 17 ) is
2x - y = 3
Step-by-step explanation:
Given:
Slope = 2 = m ( say )
Let,
point A( x₁ , y₁) ≡ ( 10 , 17 )
To Find:
Equation of Line AB =?
Solution:
Equation of a line passing through a points A( x₁ , y₁) and having slope m is given by the formula,
Substituting the given values in a above equation we get
Therefore the equation of the line has a slope 2 and passes through ( 10 , 17 ) is
2x - y = 3