Dubai Mall and Deira City Centre are equidistant from Wafi Mall. Considering Wafi Mall as origin, the position of Deira City Centre is ( 0,7). If the ordinate of the position of Dubai Mall is zero, then write the coordinates of the position of Dubai Mall.

Answer:

The coordinates of the point Q is (4, 1)

Step-by-step explanation:

The given parameters are;

The directed line segment  extends from R(-2, 4), to S(18, -6)

The ratio in which the point Q partitions the directed line segment = 3:7

Therefore, the proportions of the R to Q = 3/(3 + 7) = 3/10 the length of RS

Which gives;

(-2 + (18-(-2))×3/10,  4 +(-6 -4)×3/10) which is (4, 1)

The coordinates of the point Q = (4, 1)

We check the length from R to S is given by the relation for length as follows

[tex]l =\sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

Where;

R(-2, 4) = (x₁, y₁)

S(18, -6) = (x₂, y₂)

Length of segment RS  = 22.36

length from R to Q = 6.7086

We check RQ/RS = 6.7082/22.36 = 0.3

Also QS/RS = (22.36 - 6.7082)/22.36 = 0.6999≈ 0.7

The coordinates of the point Q = (4, 1).

Answer:

$15 and 3600ft^2

Step-by-step explanation:

C) There are 16 white tiles used. The unit cost of a white tile=240/16=$15

E) The cafeteria area consists of 36 tiles of dimensions 10 ft x 10 ft, so the area of the floor is 3600ft^2

Answer:

Each dog has 2 ears (unless a dog had genetic disorder)

So-

14 x 2

= 28

So she counted of 28 Ears of total

(honestly that's a weird thing to do but ok)

Answer:

14 x 2 = 28

Step-by-step explanation:

Each dog has 2 ears

14 dogs has 28 ears

Answer:

y=-2x+4

x | y

0 | 4

2 | 0

Step-by-step explanation:

Answer:

its 30 sugar maple trees and 10 red oak trees

Step-by-step explanation:

Number of red oak trees = 10

And, Number of sugar maples trees = 30

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A landscaping company placed an order for 40 new trees.

And, The red oak trees cost $25 a piece and the sugar maples trees cost $18. the total order was for $790.

Let number of red oak trees = x

And, Number of sugar maples trees = y

Hence, We can formulate;

⇒ x + y = 40

⇒ 25x + 18y = 790

By solving we get;

y = 30

x = 10

Thus, Number of red oak trees = 10

And, Number of sugar maples trees = 30

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AC will be 4√2 when AB = 4 and BC = 4, in the given right triangle.

According to Pythagoras' Theorem, in a right triangle, the square of the length of the longest side, that is, the hypotenuse, that is, the side opposite to the right angle is equal to the sum of the squares of the lengths of the other two sides.

In the question, we are given a right triangle, with sides AB = 4 and BC = 4.

We are asked to find AC.

To find AC, we will use the Pythagoras theorem, according to which, we can write:

AC² = AB² + BC²

or, AC² = 4² + 4²,

or, AC² = 16 + 16,

or, AC² = 32,

or, AC = √32,

or, AC = √(16 * 2) = 4√2.

Therefore, AC will be 4√2 when AB = 4 and BC = 4, in the given right triangle.

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Answer:

see explanation

Step-by-step explanation:

The minimum is at the vertex (- 3, 1 ), that is y = 1

Since the graph is a minimum then it opens vertically up U

The range of the values of y are therefore

range [ 1, ∞ )

Answer:

Graph would be nice.

Step-by-step explanation:

Answer:

1st sequence is F

2nd sequence is B

3rd sequence is G

4th sequence is A

5th sequence is D

6th sequence is E

7th sequence is C

Step-by-step explanation:

A) 1600*0.25= 400- the first term of the sequence

1600*0.25^2= 100- the second term

so it is 4th sequence

B) y=800* (1/2)^x

The first term is 800*1/2=400

The second term is 800*(1/2)^2= 800*1/4=200

the 2nd sequence

C) y= 2/5*5^x

The first term is y=0.4*5=2

The second term is y= 0.4*5^2=10

7th sequence

D) y=1/5* 5^x

The first term is y=1/5*5=1

The second term is y= 1/5 *5*5=5

The 5th sequence

E) y=2000*(1/2)^x

The first term of 2000*1/2=1000

The only sequence with such the first term is 6th sequence

F) y=1/3*3^x

y= 1/3*3=1 - the first term

y= 1/3*3*3=3

1st sequence

G) y= 2*2^x

y=2*2= 4 - the first term

it is the third sequence

Answer:

Below

Step-by-step explanation:

For a given shape to be a rhombus, it should satisfy these conditions:

● The diagonals should intercept each others in the midpoint.

● The diagonals should be perpendicular.

● The sides should have the same length.

We will prove the conditions one by one.

■■■■■■■■■■■■■■■■■■■■■■■■■■

Let's prove that the diagonals are perpendicular:

To do that we will write express them as vectors

The two vectors are EG and DF.

The coordinates of the four points are:

● E(0,2c)

● G (0,0)

● F (a+b, c)

● D (-a-b, c)

Now the coordinates of the vectors:

● EG (0-0,0-2c) => EG(0,-2c)

● DF ( a+b-(-a-b),c-c) => DF (2a+2b,0)

For the diagonals to be perpendicular the scalar product of EG and DF should be null.

● EG.DF = 0*(2a+2b)+(-2c)*0 = 0

So the diagonals are perpendicular.

■■■■■■■■■■■■■■■■■■■■■■■■■■

Let's prove that the diagonals intercept each others at the midpoints.

The diagonals EG and DF should have the same midpoint.

● The midpoint of EG:

We can figure it out without calculations. Since G is located at (0,0) and E at (0,2c) then the distance between E and G is 2c.

Then the midpoint is located at (0,c)

● The midpoint of DF:

We will use the midpoint formula.

The coordinates of the two points are:

● F (a+b,c)

● D(-a-b,c)

Let M be the midpoint of DF

●M( (a+b-a-b,c+c)

● M (0,2c)

So EG and DF have the same midpoint.

■■■■■■■■■■■■■■■■■■■■■■■■■■

There is no need to prove the last condition, since the two above guarante it.

But we can prove it using the pythagorian theorem.

Answer:

y = -5/14 -13/7

Step-by-step explanation:

First find the slope

m = (y2-y1)/(x2-x1)

m = (1 - -4)/(-8 - 6)

    = (1+4)/(-8-6)

   = 5/-14

   =-5/14

Point slope form is

y-y1 = m(x-x1)

y - -4 = -5/14(x-6)

y+4 = -5/14(x-6)

We want the equation in slope intercept form y = mx+b

Distribute

y+4 = -5/14x + 15/7

Subtract 4 from each side

y+4 -4= -5/14x + 15/7-4

y = -5/14x +15/7 - 28/7

y = -5/14 -13/7

Answer:

see below

Step-by-step explanation:

6 - (3x+10) + 4(2 - x) =15

Distribute

6 - 3x -10 +8 -4x = 15

Combine like terms

4 -7x = 15

Subtract 4 from each side

4 -7x-4 =15-4

-7x =11

Divide each side by -7

-7x/-7 = 11/-7

x = -11/7

Step-by-step explanation:

Since it's a direct variation

y = kx

where k is the constant of proportionality

To find the value of y when x = –0.5 we must first find the relationship between the variables

When

x = 3

y = 2

2 = 3k

Divide both sides by 3

[tex]k = \frac{3}{2} [/tex]

So the formula for the variation is

When x = - 0.5 or - 1/2

[tex]y = \frac{3}{2} ( - \frac{1}{2} )[/tex]

We have the final answer as

Hope this helps you

Answer:

Step-by-step explanation:

To find the equation of the line given a point and the gradient, the formula to use is

y - y1 = m(x - x1)

where

m is the gradient and

( x1 , y1) is the point

From the question

The point is (0 , 2)

The gradient is 3

Substitute the values into the above formula

That's

y - 2 = 3( x - 0)

y - 2 = 3x

The final answer is

Hope this helps you

Answer:

ray df or ray fd because both of these letters are consecutive in both of the angles.  

Step-by-step explanation:

Answer:

Answer is Ray FD

Step-by-step explanation:

Given the following angles, what ray is the common side of ∠CFD and ∠DFE?

A. Ray FC

B. Ray FE

C. Ray FD

Hi

if " a" is negative then the line goes from up left corner to down right corner.

it's mean decreasing groth. value get more and more negative toward negative infinity as x is going upward to positive infinity.

Answer:

i)= 98     ii)= 9602

Step-by-step explanation:

hope it helps

Answer:

should be 15.

Step-by-step explanation:

Step-by-step explanation:

[tex]c^{2} = {a}^{2} + { b}^{2} [/tex]

Pythagoras theorem

x²=12² + 5²

x²=144+25

x²=169

[tex]x = \sqrt{169} [/tex]

x=13

Answer:

x = 13

Step-by-step explanation:

Using the Pythagorean Theorem to find the missing hypotenuse side:

[tex]a^2+b^2=c^2[/tex]

12 and 5 are a and b. 'x' would be c.

[tex]12^2+5^2=c^2\\\\12^2=144\\5^2=25\\\\144+25=c^2\\\\169=c^2\\\\\sqrt{169}=\sqrt{c^2}\\\\\boxed{13=c}[/tex]

'x' should be equal to 13.

Answer:

532

A

Step-by-step explanation:

A=86

B=180

C=94

D=266

now,

a+b+c+d_94

=86+180+94+266_94

=532

Answer:

see below

Step-by-step explanation:

Multiplying the equation by 2x - 2 on both sides to cancel out the denominator gives us (x - 1)(x + 2)(x - 3)(x + 7)(x - 5) = 0. Using Zero Product Property and setting each factor to 0, we get:

x - 1 = 0 or x + 2 = 0 or x - 3 = 0 or x + 7 = 0 or x -  5 = 0

x = 1, x = -2, x = 3, x = -7, x = 5

Unfortunately, x cannot be 1 as the numerator would become 0 and then the expression on the left side would become undefined so the final answer is x = -2, x = 3, x = 7, x = 5.

Answer:

see image

Step-by-step explanation:

Answer:

362880 ways

Step-by-step explanation:

Given

10 digits

Required

Number of 10 digits that can be formed if no repetition and 2 must always start;

Since digit 2 must always start and no repetition is allowed, then there are 9 digits left

Digit 2 can only take 1 position

9 digits can be arranged without repetition in 9! ways;

Calculating 9!

[tex]9! = 9 * 8 *7 * 6 * 5 * 4 * 3 * 2 * 1[/tex]

[tex]9! = 362880[/tex]

Number of arrangement  = 1 * 362880

Number of arrangement  = 362880 ways

Answer:

1,000

Step-by-step explanation:

First, there are 10,000 cents in $100.

So divide 10,000 by 10. (because 1 pencil is 10 cents)

1,000.

I hope this helps!

pls ❤ and mark brainliest pls

Answer:

I think it's D

Step-by-step explanation:

Answer:  I think its D

Step-by-step explanation:

Rigid transformation moves a shape without changing the size of the shape.

See attachment for the diagram that shows the position of D'

Answer:

3600 i think

Step-by-step explanation:

Answer:

About 89%

Step-by-step explanation:

8000 + 1000 = 9000.

To find the girls money as a percentage of the total sum of money, you must take 8000 and divide it by 9000.

8000/9000 = .8888 = 88.88 = 88.9% or about 89%.

Answer:

  7 seconds

Step-by-step explanation:

We assume h(t) represents the height above ground, so that h(t) = 0 will be the point where the ball hits the ground.

The factored form of the equation tells us ...

  h(7) = -16(7 -7)(7 +2) = 0

So, the baseball will land on the ground when t=7, seven seconds after first being thrown into the air.

_____

The other value of t that makes h(t) = 0 is -2. Since we only count time after the ball is thrown, t=-2 is an extraneous solution.

Answer:

Quarter 3

Step-by-step explanation:

The quarter that would have been the optimal investment period is the third quarter.

Stocks gives its holders ownership right in a company. Stockholders are paid dividends in some periods.

The optimal investment period is the period when the stock price is the lowest. This is the third quarter.

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Answer:

Hi, there!!!

The solutions in pictures will help you.

Best of luck....