Answer:
B (2, 4)
Step-by-step explanation:
A (-1,-9); M (0.5, -2.5); B (xB, yB)
M is the midpoint of AB, therefore we have these 2 equations:
(*) xA + xB = 2. xM
(**) yA + yB = 2. yM
(*) <=> xB = 2. xM - xA = 2x0.5 - (-1) = 1 + 1 = 2
(**) <=> yB = 2. yM - yA = 2x(-2.5) - (-9) = -5 + 9 = 4
So, B (2, 4)
Answer:
2/10 or 1/5 of the flowers are daises.
4/10 of the flowers are tulips.
Since there is 10 flowers, that will be your denominator. 2 out of the ten flowers, so 2 is your numerator. There is 8 flowers left over and half of that is 4.
Answer:
(a) 1024 ways
(b) 243 ways
Step-by-step explanation:
When answers are independent, the total number of ways all questions can be answered is the product of the number of ways each question can be answered.
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<h3>(a)</h3>
The first question can have one answer 4 ways. The second question can be answered 4 ways for each of the ways the first question was answered. That is, the two questions can be answered 4×4 = 16 ways. Similarly, each additional question multiplies the number of ways the questions can be answered by 4.
The 5 questions can be answered 4×4×4×4×4 = 4^5 = 1024 ways.
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<h3>(b)</h3>
There are 3 ways to answer the first question incorrectly. Each additional question can be answered incorrectly 3 ways for each of the ways previous questions were answered. The total number of ways all questions can be answered incorrectly is ...
3^5 = 243
A student can answer all questions wrong in 243 different ways.
Use the power rule
d(x^n)/dx = n·x^(n-1)
to form the derivative.
f'(x) = 4·2x -4
f'(x) = 8x - 4
Now, substitute "a" for "x" to find f'(a):
f'(a) = 8a - 4
A equals to 2.
<u>Step-by-step explanation:</u>
y = mx + c is the equation of the line and m is the slope and c is the y- intercept.
In the given equation, y = ax , a is the slope.
Slope A can be found by means of the formula, and using the points (2,4) and (-2-4)
slope, A = (y₂ -y₁) / (x₂-x₁)
Plugin the values as,
A = (-4-4) / (-2-2) = (-8) / (-4) = 2
So the value of A is 2.
