PLEASE HELP ME!!!! 50 points! Given the points C(-1, -3) and D(5, 6), find the coordinates of the point E on directed line segment CD that partitions CD into the ratio 2 to 1.

A. (1, 0)

B. (3, 3)

C. (-3, 3)

D. (2, 1.5)

Answers

Answer 1

Answer:

Answer:

B. (3,3)

Step-by-step explanation:

In order to find the coordinates of point E that partitions the line segment CD into a ratio of 2:1, we can use the following formula for finding the coordinates of a point that divides a line segment in a given ratio:

For a line segment with endpoints A(x1, y1) and B(x2, y2), and a division ratio of m:n, the coordinates of the point E(x, y) that divides the line segment in this ratio are given by:

$\sf x =( (m* x_2 + n* x_1) )/((m + n))$

$\sf y =( (m* y_2 + n* y_1) )/((m + n))$

In this case, we want to divide the line segment CD into a ratio of 2:1, so m = 2 and n = 1.

Wehave the coordinates of C(-1, -3) and D(5, 6).

Using the formula:

$\begin{aligned} x &\sf =( (2* 5 + 1* (-1)))/( (2 + 1)) \n\n &\sf = (10-1)/(3)\n\n &\sf = (9)/(3)\n\n &\sf = 3 \end{aligned}$

and

$\begin{aligned} y &\sf =( (2* 6 + 1* (-3)) )/( (2 + 1)) \n\n &\sf = (12-3)/(3) \n\n &\sf = (9)/(3)\n\n &\sf = 3 \end{aligned}$

So, the coordinates of point E that partitions the line segment CD into a ratio of 2:1 are E(3, 3).

So, the answer is B. (3,3)

Answer 2

Answer:

Answer:

Step-by-step explanation:

bc yes

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-4 is less than or equal to x, and 0 is greater than x

Answers

Answer:

$4\leq x \leq 0$

Step-by-step explanation:

Which of the following functions has the greatest y-intercept?f(x)

x y
−3 −15
−2 −8
−1 −1
0 3
1 6
2 10
g(x) = −4 sin(5x) + 3

Answers

The y intercept occurs when x = 0

So for first function y-intercept = 3.

Second function:-

y intercept = -4 sin (5*0) + 3

= -4(0) + 3 = 3

y - intercepts are equal.

The area of a rectangle is 5x^3+19x^2+6x-18 with length x + 3. Using synthetic division, what is the width of the rectangle?

Answers

To compute for the area of the rectangle, we multiply the dimensions so if we need to find the width of the rectangle, we have

$width = (Area)/(length)$

Thus, given an area of (5x³ + 19x² + 6x - 18) and a length of (x + 3), to find the width, we have

width = (5x³ + 19x² + 6x - 18) / (x + 3)

Through the coefficients of the polynomial, we can apply synthetic division to find the quotient as shown below.

5 19 6 -18 | -3
-15 -12 18
_____________
5 4 -6 0

Thus, the given values below the line are the coefficients of the width. So, we have the rectangle's width as (5x² + 4x - 6) units.

Answer: (5x² + 4x - 6) units

Answer:

Step-by-step explanation:

For edge

Consider the following food chain: Plants are eaten by grasshoppers, which are eaten by mice, which are eaten by snakes. What would happen to the other members of the food chain if the plant population was wiped out?
a. The populations of grasshoppers, mice, and snakes would increase.
b. The populations of grasshoppers and mice would increase, while the population of snakes would decrease.
c. The populations of grasshoppers would decrease, while the population of mice and snakes would increase.
d. the number of plants will increase, the number of grasshoppers will increase, the number of snakes will increase

Answers

Answer;

-The populations of grasshoppers, mice, and snakes would decrease.

Explanation;

-The food web or a food chain describes the series of relationships that occur between predators and prey in an ecosystem.

-Several types of life forms form the food web. Green plants that can make their own food through photosynthesis are the web's producers. They form the bottom of the chain. Animals that get food from other animals and plants are consumers. Decomposers feed off dead plants and animals because decomposers cannot make their own food.

-If producers were removed in a food chain then, all the other animals in the food web would die too, because their food supplies would have died out. The populations of the consumers would fall as the population of the producer fell.

Answer:

Step-by-step explanation:

I need to write the number 36 in expanded form

Answers

For this case we have the following number:

We want to rewrite this number, in its expanded form.

What we must do in this case is to rewrite the number as the sum of two numbers.

We have then that the expanded form for the number 36 is given by:

Answer:

the number 36 in expanded form is:

$36 = 30 + 6$

i think thats when you write every number place.. for 36 it is 30 and 6

the world's smallest country is Vatican City it covers 17/100 square mile what is Vatican City area written as a decimal

Answers

17/100 is the same as 17÷100. 17÷100 =0.17 sqr mile.
OR 17/100, the denominator means what place it is in. The denominator is100, so it's in the hundredth place. 0.17

Answer:

Step-by-step explanation:

17/100=17÷100=0.17 km2

I hope it'll help you much

Thank you for asking

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