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Kaylis [27]
3 years ago
15

Given directed line segment AB determine point X on the graph such that X partions the segment A to B in a ratio of 1:4 and give

n its coordinates A(5,1) and b(-5,4)
(NEED THIS ASAP!!)
Mathematics
1 answer:
Viktor [21]3 years ago
8 0

Answer:

The coordinates of point X that divides the line in 1:4 are: (3,8/5)

Step-by-step explanation:

When a point divides a line with coordinates (x1,y1) and (x2,y2) in ratio m:n,

the coordinates of point are given by:

(x,y) = (\frac{mx_2+nx_1}{m+n} , \frac{my_2+ny_1}{m+n})

Given points are:

(x1,y1) = (5,1)

(x2,y2) = (-5,4)

Putting the values in the formula

X(x,y) = (\frac{(1)(-5)+(4)(5)}{1+4} , \frac{(1)(4)+(4)(1)}{1+4})\\= (\frac{-5+20}{5}, \frac{4+4}{5})\\=(\frac{15}{5}, \frac{8}{5})\\=(3,\frac{8}{5})

Hence,

The coordinates of point X that divides the line in 1:4 are: (3,8/5)

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You are planning on retiling your bathroom floor and buy 96 square feet of tile. If the length of the bathroom is
Rudik [331]

Answer:

8 feet

Step-by-step explanation:

Given that 96 sq. feet of tile is bought to retile the bathroom.

It means area of bathroom is 93/2 x^2 = 96\\=> 3 x^2 = 96*2=192\\=>  x^2 = 192/3 = 64\\=>\sqrt{x^2}  = \sqrt{64} \\=> x = 86 sq. feet

Width of bathroom be x

Given that the length of the bathroom is  one and a half times the width

Length of bathroom in term sod width = 1 1/2* x = 3/2 x

we know area of rectangle is given by length * width

therefore area of bathroom =( x* 3/2 x) = 3/2 x^2

Also area of  bathroom is 86 sq. feet, therefore

3/2 x^2 = 96\\=> 3 x^2 = 96*2=192\\=>  x^2 = 192/3 = 64\\=>\sqrt{x^2}  = \sqrt{64} \\=> x = 8

Thus, width of bathroom is 8 feet.

4 0
3 years ago
Suppose someone tells you that she has a triangle with sides having lengths 3.5, 4.5 and 5.5 yards. Is this a right triangle?
Katarina [22]
You can solve by using Pythagoras theorem.
Let the longest side be c.
a^2 + b^2 = c^2
If this holds, it is a right angle.

But, 3.5^2 + 4.5^2 is not equal to 5.5^2.
5 0
3 years ago
Read 2 more answers
Which expression is equivalent to<br> 94<br> 94<br> 310<br> 95<br> 94<br> 310<br> (9².3³) ²₂
a_sh-v [17]

Answer:

Step-by-step explanation:           The simplification form of the provided expression is 2y⁴/x⁴ option (A) 2y⁴/x⁴ is correct after applying the integer exponent properties.

What is an integer exponent?

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

The question is incomplete.

The complete question is attached in the picture, please refer picture.

We have an expression:

Thus, the simplification form of the provided expression is 2y⁴/x⁴ option (A) 2y⁴/x⁴ is correct after applying the integer exponent properties.

Learn more about the integer exponent here:

brainly.com/question/4533599

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5 0
1 year ago
express 121,200 in exponential (powers of 10) notation. express the earth sun distance in kilometers in powers of 10 notation.
Mashutka [201]

The exponential form of given number 121200 is 1.212 × 10^5

And the earth sun distance in kilometers in powers of 10 notation is 1.5 × 10^8

For given question,

We need to express 121,200 in exponential (powers of 10) notation.

To use scientific notation, pick a value between 1 and 10, then multiply it by 10ˣ.

The number between 1 and 10 in 121200 is 1.212 with 5 decimal points.

So, the exponential notation of given number would be,

121,200 = 1.212 × 10^5

Earth's average distance from the Sun is around 93 million miles (150 million kilometers). That's one AU.

So the number between 1 and 10 in 150,000,000 is 1.5, with 8 decimal points.

So, the distance between he Earth and the Sun is:

150,000,000 = 1.5 × 10⁸

Therefore, the exponential form of given number 121200 is 1.212 × 10^5

And the earth sun distance in kilometers in powers of 10 notation is 1.5 × 10^8

Learn more about the powers of 10 here:

brainly.com/question/13303295

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4 0
1 year ago
a grocery clerk has 16 oranges, 20 apples, and 24 pears. The clerk needs to put an equal number of apples, oranges, and pears in
wolverine [178]

Answer:

4

Step-by-step explanation:

Here you find the greatest common factor of 16,20 and 24

The  greatest common factor of a set of whole numbers is the largest positive integer  that divides evenly into all numbers with no remainder.

Here, the G.C.F will be

   16    20    24

2    8    10     12

2    4     5      6

2×2=4

4 0
3 years ago
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