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3 years ago

Point A is at (-6,6) and point C is at (-6,-2). Find the coordinates of point B on Ac such that AB =3/4AC

Mathematics

1 answer:

BartSMP [9]3 years ago

3 0

Answer:

B(-6, 0)

Step-by-step explanation:

You want to find B such that ...

(B -A) = (3/4)(C -A) . . . . the required distance relation

4(B -A) = 3(C -A) . . . . . . multiply by 4

4B = 3C +A . . . . . . . . . . add 4A, simplify

Now, we can solve for B and substitute the given coordinates:

B = (3C +A)/4 = (3(-6, -2) +(-6, 6))/4 = (-24, 0)/4 = (-6, 0)

The coordinates of point B are (-6, 0).

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One number exceeds another by 44. the sum of the numbers is 24. what are the numbers?

baherus [9]

Let, the numbers = x,y

x+y= 24 1st eqn

x-y = 44 2nd eqn

24-y-y = 44

-2y = 44-24

y = 20/-2 = -10

substitute that in equation 1st x = 24+10 = 34

so, the numbers would be 34 & -10

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3 years ago

Mr. Bojorquez has 32 homework papers and 28 tests to return. Ms. Williams has 104 homework papers and 98 tests to return. Find e

Aleks04 [339]

Answer:

No they are not equivalent

Step-by-step explanation:

The ratio for Ms.Bojorquez is 32:28 which simplified is 8:7

The ration for Ms.Williams is 104:98 which simplified is 52:49

These rations are not equivalent.

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2 years ago

Read 2 more answers

25 POINTS!!! The equation y=470x represents the relationship between x, the time that a plane flies in hours, and y, the distanc

sineoko [7]

Answer:

Step-by-step explanation:

For plane A,

Equation that represents the relationship between time 'x' and distance 'y' is,

y = 470x

By comparing this equation with the slope-intercept form of the equation,

y = mx + b

m = slope = 470

b = 0

Here, slope represents the speed of plane A.

Therefore, speed of plane A = 470 mi per hour

For plane B,

From the given table,

Slope of the graph = $\frac{y_2-y_1}{x_2-x_1}$

= $\frac{960-480}{2-1}$

= 480

Speed of plane B = 480 miles per hour

Since, speed of plane B is more than plane A,

Plane B is flying faster.

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2 years ago

Please answer this!!! No links !!!

stealth61 [152]

My work for your question

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2 years ago

Help asap please i don't know the answer lol

Sveta_85 [38]

Answer:

Step-by-step explanation:

The parallel line BC divides the sides AD and AE in proportion, that is

$\frac{AB}{BD}$ = $\frac{AC}{CE}$ , that is

$\frac{2}{3}$ = $\frac{AC}{4}$ ( cross- multiply )

3AC = 8 ( divide both sides by 3 )

AC = $\frac{8}{3}$ = 2 $\frac{2}{3}$ , hence

AE = AC + CE

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3 years ago

Point A is at (-6,6) and point C is at (-6,-2). Find the coordinates of point B on Ac such that AB =3/4AC​

Point A is at (-6,6) and point C is at (-6,-2). Find the coordinates of point B on Ac such that AB =3/4AC