Answer:
The answer is A.
Step-by-step explanation:
y²-y¹/x²-x¹
16-(-5)/(-40)-16
21/-56
= -3/8
The measure of BD and BC are 7 and 7√2 respectively
<h3>Triangular altitude theorem</h3>
A triangle is a shape with 3 sides and angles.
According to the theorem
CD/BD = BD/DA
From the given figure
CD = DA = 14/2
CD = DA = 7
Substitute
7/BD = BD/7
BD² = 7²
BD² = 49
BD = 7
Determine the measure of BC
sin 45 = BD/BC
sin45 = 7/BC
BC = 7/sin45
BC = 7√2
Hence the measure of BD and BC are 7 and 7√2 respectively
Learn more on triangles here: brainly.com/question/17335144
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B. -4x + 7 = -5(x - 10)
-4x + 7 = -5x - 50
<u> +5x +5x </u>.
x + 7 = -50
<u> -7 -7</u>
x = -57
Complete question :
Between 12:00 PM and 1:00 PM, cars arrive at Citibank’s drive-thru at the rate of 6 cars per hour (0.1 car per minute). The following formula from statistics can be used to determine the probability that a car will arrive within t minutes of 12:00 PM. F(t)=1−e^−0.1t
Determine how many minutes are needed for the probability to reach 80%.
Answer:
16.09 minutes
Step-by-step explanation:
Given the function :
F(t)=1−e^−0.1t
To attain 80% probability ; 80% = 0.8
0.8 = 1 - e^-0.1t
0.8 - 1 = - e^-0.1t
-0.2 = - e^-0.1t
Take the In of both sides
In(0.2) = In( e^-0.1t)
−1.609437 = - 0.1t
Divide both sides by - 0.1
−1.609437 / -0.1 = - 0.1t / 0.1
16.09 = t
Hence, the time it'll take will be 16.09 minutes
Answer: None of these are correct
Step-by-step explanation:
I believe that the equation is showing transitive property.