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3 years ago

Given AC with A (4,-7) and (-4,11) if point B divides AC five-sixths of the way from A to C find the coordinates of B

Mathematics

1 answer:

Taya2010 [7]3 years ago

5 0

Answer:

B: (-8/3 , 8)

Step-by-step explanation:

A (x₁,y₁) (4,-7) and C (x₂,y₂) (-4,11), B (x,y)

AB (a):BC (b) = 5:1

x = (bx₁ + ax₂) / (a+b) = (1*4+5*-4) / (5+1) = -16/6 = - 8/3

y = (by₁ + ay₂) / (a+b) = (1*-7+5*11) / (5+1) = 48/6 = 8

B: (-8/3 , 8)

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Which of the following is being constructed in the image.

Sliva [168]

Answer:

3. a line perpendicular to a given line through a point not on the line

Step-by-step explanation:

The point not on the line suggests that choices 1 and 3 are possibilities. The fact that the dotted line is not parallel (and is perpendicular) to the solid line suggests that choice 3 is applicable and choice 1 is not.

The short arcs are equidistant from the end points of the chord that intercepts the larger arc. Hence the line through the crossing point of the short arcs and the point on the other side of the line will be the perpendicular bisector of the chord, and will be perpendicular to the solid line. Creating that perpendicular is likely the purpose of the construction.

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2 years ago

Write an algebraic equation for this tape diagram. Then determine the value of x. You may use a calculator.

tresset_1 [31]

Answer:

3× + 16 = 22.75

3× = 22.75 - 16

3x = 6.75

3 3

x = 2.25

7 0

2 years ago

On March 24, 1989, the Exxon Valdez oil tanker ran aground and leaked millions of gallons of oil into Prince William Sound. The

Tema [17]

Answer:

592 hours

Step-by-step explanation:

Given

$Area = 11000m^2$

$Radius = 0.10m/h$

Required

Determine the time taken to cover the area

Since, the oil formed a circular pattern; the question will be answered using area of a circle

$Area = \pi r^2$

Let t represent the time take to cover 11000m²;

The relationship between these parameters is:

$11000 = \pi * (0.10t)^2$

Substitute 3.14 for π

$11000 = 3.14 * (0.10t)^2$

Divide both sides by 3.14

$\frac{11000}{3.14} = \frac{3.14 * (0.10t)^2}{3.14}$

$\frac{11000}{3.14} =(0.10t)^2$

$3503.18471338 = (0.10t)^2$

Take square root of both sides

$\sqrt{3503.18471338} = \sqrt{(0.10t)^2}$

$\sqrt{3503.18471338} = 0.10t$

$59.1877074516 = 0.10t$

Divide both sides by 0.10

$\frac{59.1877074516}{0.10} = \frac{0.10t}{0.10}$

$\frac{59.1877074516}{0.10} = t$

$591.877074516 = t$

$t = 591.877074516$

$t = 592\ hours$ (Approximated)

Hence, it'll take approximately 592 hours to cover the given area

3 0

3 years ago

Read 2 more answers

What is the probability of drawing two yellow marbles if the first one is NOT placed back into the bag before the second draw?

polet [3.4K]

Answer:

2/10 on the first draw and 1/9 on the second draw

Step-by-step explanation:

In the first draw, 2 marbles are yellow out of 10, but on the second draw, you don't replace a yellow marble leaving 1 yellow marble out of 9 total marbles in the bag.

6 0

2 years ago

Order the following numbers from least to greatest. -14 1/5, -14.04, -14.4

Ilya [14]

Answer:

-14.4, -14 1/5, -14.04

Step-by-step explanation:

1/5=0.2

-14..04 is closest to 0 on a number line

the more i think about it the more i doubt myself but i hope its right. pretty sure it is.

3 0

2 years ago