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kicyunya [14]
3 years ago
9

C) Find the point of trisection of the line segment AB, where A (-6, 11) and B (10, -3).

Mathematics
1 answer:
PtichkaEL [24]3 years ago
6 0

Answer:

Step-by-step explanation:

Δx = 10-(-6) = 16

Δy = -3-11 = -14

(-6+16/3, 11-14/3) = (-⅔, 6⅓)

(10-16/3, -3+14/3) = (4⅔, 1⅔)

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Which of these statements best describes the zero(s) of this function?
Vanyuwa [196]
Sorry, i rlly need the points
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3 years ago
The point A(−4,5) is reflected over the point (2,3) and its image is point B. What are the coordinates of point B?
Allisa [31]

Answer: (8,1)

Step-by-step explanation:

The line that connects (-4,5) and (2,3) has a slope of (-2/6) or -1/3. The y-intercept is calculated from one of the points: 3 = -(1/3)*(2) + b

b = 3 2/3

The equation for the line is y = -(1/3)x + 3 2/3

The reflection covers a distance of x of (2 - (-4)) = 6. Add 6 to the x value of (2,3) and calculate the resulting y. (8,y): y = -(1/3)(8) + 3 2/3, y = -8/3 + 11/3 = 3/3 or 1

The point is (8,1)

3 0
3 years ago
Z + 81 = 9z -7 help solve
Ede4ka [16]
8z-7=81
8z=88
z=11
Have a good day!
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5 0
3 years ago
Read 2 more answers
A sweater originally priced at $80 was marked down by 25%. What was the sale price of the sweater?
crimeas [40]
The original price of the sweater is $80 which is 100% of the price.
If the price is reduced by 25%, then the new price is 75% of the original price since 100% - 25% = 75%.
Now we need to find 75% of $80.

To find a percent of a number, multiply the percent by the number.
To convert a percent into a decimal, divide the percent by 100 which is the same as moving the decimal point two places to the left.

Here's how to change 75% into a decimal.
75% = 75/100 = 0.75

Here's how you calculate 75% of $80.
75% of $80 =

= 75% * 80

= 0.75 * $80

= $60

Answer: The sale price is $60.
6 0
3 years ago
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A nest of ants has been growing exponentially in such a way that its population, P, as a function of w weeks is given by P(w)=24
Hunter-Best [27]

Answer:

0.9%

Step-by-step explanation:

Given that:

A nest of ant is represented by the exponential growth function :

P(w)=24,000(1.063)^w

Where w = number of weeks

Recall :

Growth function is generally represented as :

P(t) = A(1 + r)^t

Where ; A is the initial population figure; r = growth rate and t = time

Hence, the growth rate per week of the function given is :

(1 + r) = 1.063

r = 1.063 - 1

r = 0.063

Number of days in a week = 7

Hence, growth rate per day = r /7

0.063 / 7

= 0.009

(0.009 * 100%) = 0.9%

8 0
3 years ago
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