Answer:
The equation of the line that passes through (1, 2) is y = - 2x + 4
Step-by-step explanation:
2x + y - 1 = 0
2x + y - 1 + 1 = 0 + 1
2x + y = 1
2x - 2x + y = 1
y = - 2x + 1
parallel lines have the same slope, so the equation line will be -2
plug in the point, y = mx + b (x, y)
y = (-2)x + b , (1, 2)
(2) = (-2)(1) + b
2 = -2 + b
2 + 2 = -2 + 2 + b
4 = b
y = - 2x + 4
Any quadrilateral which can be inscribed in a circle, is called a cyclic quadrilateral.
The main theorem about these quadrilaterals is the following:
In any cyclic quadrilateral, the sum of the measures of the opposite angles is 180°.
This means, m(∠S)+m(∠Q) =180°,
thus
(7x-2)+(5x+14)=180
12x+12=180
12x=168
x=168/12=14
Thus the measures of angles Q and S are respectively:
7x-2 = 7*14-2=96 (degrees) and
5x+14=5*14+14=6*14=84 (degrees)
Answer: D
Answer:
Right of X = 635.5
Step-by-step explanation:
By using the normal approximation to the Binomial random variable, we usually make use of continuity correction.
According to the rule of continuity;
P(X ≤ k) becomes P( X ≤ K + 0.5)
P(X < K) becomes P(X < K - 0.5)
P(X ≥ K) becomes P(X ≥ K - 0.5)
P(X > K) becomes P(X > K + 0.5)
P(X = K) becomes P(K - 0.5 ≤ X ≤ K + 0.5)
From the given question, Assume that we are to determine the probability that more than 635 Americans support the bill.
Then we use the > sign.
∴
P(X > K ) becomes P(X > K + 0.5)
P(X > 635) becomes P(X > 635 + 0.5)
⇒ P(X > 635.5) tot the right.
Right of X = 635.5
Answer:
The points form a curve
Step-by-step explanation:
Jk the points are in a straight line
Answer:
240.8
Step-by-step explanation:
→ Calculate time taken
16:43 - 14:56 = 1 hour and 47 minutes
→ Write the speed formula and make distance the subject
Speed = Distance ÷ Time ⇔ Distance = Speed × Time
→ Convert 1 hour and 47 minutes into decimal format
1.78333333 or 
→ Substitute values into formula
135 × = 240.75
