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3 years ago

Which of the following is a radical equation?

Mathematics

1 answer:

MrMuchimi3 years ago

5 0

It is A because it can’t be B and it can’t be C and it can’t be D so my answer is A

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Find the coordinates of point B that lies along the directed line segment from A(-5, 2) to C(11, 0) and partitions the segment i

olga2289 [7]

Answer:

B ( 5 , 3/4 )

Step-by-step explanation:

Solution:-

We are given two points in the cartesian coordinate system as:

A ( -5 , 2 ) C ( 11, 0 )

The point B lies on the line segment from A to C. The ratio of segment given is:

AB / BC = 5 / 3

To solve such type of problems. We will use vector equation of line AC.

To form a vector equation of line representing AC. We will first determine the direction vector ( d ) that is parallel to the line AC as follows:

d = OC - OA

d = < 11, 0 > - < -5,2 >

d = < 16 , -2 >

The fixed point on the line is taken. We will take point A. The vector equation of line from point A to point C is expressed as:

< x , y > = OA + t*d

< x , y > = < -5, 2 > + t* < 16 , - 2 >

The above equation satisfies all the points that lies on the line AC. To determine the coordinates of ( B ). We will plug in the appropriate value of parameter ( t ) and evaluate. We are given the ratio 5:3.

So point B is 5/8 th the magnitude of the distance AC from A. Hence, t = 5/8 as follows:

< x , y > = < -5 , 2 > + ( 5/8 ) * < 16 , -2 >

< x , y > = < -5 , 2 > + < 10 , -5/4 >

< x , y > = < 5 , 3/4 > ... Answer

4 0

3 years ago

Please help!

Vedmedyk [2.9K]

Answer:

Step-by-step explanation:

sorry

3 0

3 years ago

FSA Mathematics Practice Test Questions

Luda [366]

There is no number line shown...
Brainliest would be nice

8 0

3 years ago

In a quadrilateral ABCD, AB ∥ DC and AD ∥ BC . Find the perimeter of ΔCOD if the diagonals of the quadrilateral intersect each o

SVEN [57.7K]

Answer Perimeter = 33in

Step-by-step explanation:

AC = 20

BD = 20

AB = 13

O is the midpoint

OD = OC = 20/2 = 10

AB = DC = 13 in

P = DC + OD + OC = 13+10+10 = 33in

5 0

3 years ago

The sum of two consecutive integers is 65. what are the two integers? show steps please.

Gnoma [55]

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to find the two integers, given that they are consecutive, and their sum is 65.

$\triangle~\fbox{\bf{KEY:}}$

Consecutive integers are right next to each other, like 12 and 13. or 65 and 66.

Let the first integer be x, and let the second integer be x+1.

Their sum is 65. Let's set up our equation:

$\longmapsto\sf{x+x+1=65}$

Combine like terms:

$\longmapsto\sf{2x+1=65}$

Subtract 1 from both sides of the equal sign:

$\longmapsto\sf{2x=64}$

Divide both sides by 2:

$\longmapsto\sf{x=32}$

To find the second integer, subtract the first integer from the sum of the two integers:

$\longmapsto\pmb{65-32}$

$\longmapsto\pmb{33}$

The integers are: 33 and 32.

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

7 0

2 years ago