(2y -2) divided by x for x=2 and y=5

The area of the triangle ABC for the considered triangle plotted in the considered image is 66.5 sq. units approximately.

The shortest distance(length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.[/tex]

The coordinates of the points A, B, C, and D in the given figure are:

Finding the length of the line segments AD and CB, which will be the distance between A and D, and C and B respectively.

Thus, we get:

Length of line segment AD = |AD| = distance between A and D = [tex]\sqrt{(0-7)^2 + (7-(-2))^2} = \sqrt{7^2 + 9^2} = \sqrt{130} \: \rm units.[/tex]

Similarly, we get:
|CB| = [tex]\sqrt{(-3-7)^2 + (-4-(-2))^2} = \sqrt{10^2 + 6^2} = \sqrt{136} \: \rm units.[/tex]

If we take CB as the base of ABC triangle, then as AD is perpendicular on CB, and touches the peak of the triangle ABC from its base, so AD is height of the triangle.

Thus, as we know know that:

Thus, the area of the triangle ABC is:

[tex]A = \dfrac{base \times height}{2} = \dfrac{\sqrt{130} \times \sqrt{136}}{2} \approx 66.5 \: \rm unit^2[/tex]

Thus, the area of the triangle ABC for the considered triangle plotted in the considered image is 66.5 sq. units approximately.

Learn more about distance between two points here:

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Answer:

78 x 10^9

Step-by-step explanation:

Hope this helps!

Answer:

7.8 x

Step-by-step explanation:

Scientific notations are being used to write very large or very small numbers. In line with this, the other details regarding 78 million in scientific notation are indicated above.

Answer:

17

Step-by-step explanation:

step-by-step explanation

Answer:

-120

Step-by-step explanation:

Answer:

-120

Step-by-step explanation:

First solve the parenthesis which leaves you with the equation.

10 × -12

Multiply that and you get -120

If you want me to explain it more lemme know! Hopefully this helps and have a great day!

Answer:

3.6 x 10 is 36

3.6 x 100 is 360 l

3.6 x 1000 is 3600

Answer:

1 2 3 6 9 18 27 and 54 I hoped this helps

Answer:

The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54

Step-by-step explanation:

Answer: A. The actual product is reasonable because it is near 80 but greater than 80. Both factors were rounded down, making the estimate lower than the actual product.

Step-by-step explanation:

Answer: A. The actual product is reasonable because it is near 80 but greater than 80. Both factors were rounded down, making the estimate lower than the actual product.

Step-by-step explanation:

Answer:

-7 (Not here)

Step-by-step explanation:

1. A negative plus a negative equals a negative/ a negative minus a positive equals a negative so: -10 -4 = -14

2. -14 + 7 = -7 so your answer is -7 and it's not an answer choice so you would select "Not here"

Answer:

x = 52.5

<A = 152.5°

<BCG = 45°

Step-by-step Explanation:

Sum of interior angles of n-sided polygon = (n - 2)180

Sum of interior angles of hexagon = (6 - 2)180 = 4(180) = 720°

Therefore, sum of all the interior angles in the given hexagon = 720.

Thus:

3x - 5 + 2x + 140 + 135 + 2x + 30 + x = 720

Solve for x. Add like terms.

8x + 300 = 720

Subtract 300 from both sides

8x = 720 - 300

8x = 420

Divide both sides by 8

8x/8 = 420/8

x = 52.5

<A = (3x - 5)

Plug in the value of x

<A = 3(52.5) - 5 = 152.5°

<BCG = 180 - (2x + 30) (angles on a straight line)

Plug in the value of x

<BCG = 180 - (2(52.5) + 30)

<BCG = 180 - (105 + 30)

<BCG = 180 - 135

<BCG = 45°

Answer:

x + y = 10,999.5 (rounded up to 11000)

x - y =  3,000.3 (this would be rounded down to 3000)

Step-by-step explanation:

Assume;

Two numbers are x, y

So,

x + y = 11,000 .......eq1

x - y = 3,000 .........eq2

eq1 + eq2

So,

2x =14,000

x = 7,000

So y = 4,000

For rounding number

x = 6,999.9 (rounded up to 7,000)

y = 3,999.6 (rounded up to 4,000)

Sum;

x + y = 10999.5 (rounded up to 11000)

x - y =  3000.3 (this would be rounded down to 3000)

Answer:

I think you use the row that had the same number of terms as the exponent.

Step-by-step explanation:

Answer:

The plot coordinates are (3,3).

Step-by-step explanation:

Given:

A function f(x) and its inverse is f-1(x)

To find :

The plot of the coordinates for the intersection.

Solution:

Now we know that inverse function is changing the y=f(x) and then

changing to x to y and y to x

So given function is f(x)

Inverse function is y,

But value of inverse function is f-1(x)

So y=f(x)=f-1(x)

Therefore it becomes

y=x

Hence the value is y=x coordinates

Answer:

Wall of Jericho

Step-by-step explanation:

The Wall of Jericho was a Pre-Pottery Neolithic A (PPNA) defensive or flood protection wall suggested to date to approximately 8000 BC.[1] If interpreted as an "urban fortification", the Wall of Jericho is the oldest city wall discovered by archaeologists anywhere in the world.[2] It is built of undressed stones and is located at the archaeological mound known as Tell es-Sultan, in the city of Jericho on the West Bank.

The topic of this article is the unique Neolithic-age stone wall, the earliest one of its kind. Other walls, such as contemporary house walls, or later, Bronze and Iron Age city walls, are only mentioned for the sake of context.

Answer:

500 students in the school

Step-by-step explanation:

100 - 68% = 32%

boys percentage 68%

girls percentage 32%

difference 68 - 32 = 36% = 180

36 ÷ 18 = 2 × 50 = 100

180 ÷ 18 = 10 × 50 = 500

Answer:

500 students.

Step-by-step explanation:

This a system of equations you could write where t is the total amount of students in the school, b is the number of boys, and g is the number of girls:

0.68t=b

b+g=t

180+g=b

0.68t+g=t

g=0.32t

180+g=b

180+0.32t=0.68t

180=0.36t

t=500

Answer:

Thus, the measure 660 cm is divided into 300 + 360 in the ratio of 5:6

Step-by-step explanation:

Equations

We are required to divide 660 cm in the ratio 5:6, or 5/6.

Let's call:

x = first part of 660

660 - x = second part of 660

The ratio between them is 5/6.

[tex]\displaystyle \frac{x}{660-x}=\frac{5}{6}[/tex]

The above equation will result in x as the smaller part of 660.

Multiply by (660-x)*6 to eliminate denominators:

[tex]\displaystyle (660-x)*6\cdot\frac{x}{660-x}=(660-x)*6\cdot\frac{5}{6}[/tex]

Operating:

[tex]6x=(660-x)*5[/tex]

[tex]6x=3300-5x[/tex]

Simplifying:

[tex]6x+5x=3300[/tex]

[tex]11x=3300[/tex]

Solving:

[tex]\displaystyle x=\frac{3300}{11}=300[/tex]

The other part is 660 - 300 = 360

Thus, the measure 660 cm is divided into 300 + 360 in the ratio of 5:6

Answer:

3

Step-by-step explanation:

as x is bigger than 0in which x is maximum and 0 is minumum

Answer:

t is  9/16

Step-by-step explanation:

Answer:

9/16

Step-by-step explanation:

Answer:

Step-by-step explanation:

Depending on what answer

you need, the decimal is −4.03846153846,

the improper fraction is -105/26 and the mixed number is -4 1/26

Hope this helps! <3

Answer:

yes

Step-by-step explanation:

An arbitrary right triangle can be partitioned into isosceles triangle by drawing a median from the right angle to the hypotenuse.

Right angled triangle are those triangle for which one of the angle is 90 degrees.

Let's take a right angled triangle ΔABC.

Let C be the right angle in this triangle.

Then AB will be the longest side of the triangle, which is the hypotenuse.

Median of a triangle is the line segment joining the vertex to the midpoint  of the opposite side of the triangle.

Suppose we draw a median from C to the midpoint of AB intersecting AB at a point P.

Then there are two triangles formed ΔAPC and ΔBPC.

AP = BP since P is the midpoint of AB.

PC = PC is the common side for both triangles.

So ΔAPC and ΔBPC are isosceles triangles, because two sides are equal.

Hence any right triangle can be partitioned into two isosceles triangles this way.

Learn more about Right Angled Triangles here :

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Answer:

4.5

Step-by-step explanation:

I did 45/1 I and it's 45 then 45/10

Answer:

jack is wrong

Step-by-step explanation:

Jack is wrong because 3,000 milliliters is equal to 3 liters.  If the tub already has 5 liters in it, adding 3 liters makes the tub have 8,000 liters. Angelina is correct when she says Jack is wrong.

Answer:

The answer would be b, c, e

Answer:

b,c,e

Step-by-step explanation:

4(n+1)

4n+4

n+n+n+n=4n

1+1+1+1=4

4n+4

2n+2n=4n

4n+4

4n+4

Answer:

x = 2/7

Step-by-step explanation:

Step 1: Write equation

20x + x - 2 = 4

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

20(2/7) + 2/7 - 2 = 4

40/7 + 2/7 - 2 = 4

42/7 - 2 = 4

6 - 2 = 4

4 = 4

Answer:

x = 2/7

Step-by-step explanation:

Collect like terms:

20x + x = 21x ----> 21x - 2= 4

Move the constant to the right hand side and change the sign of the constant:

21x = 4 + 2

Calculate:

21x = 4 + 2 ---> 21x = 6

Divide both sides by 21:

21/21 and 6/21 = 2/7

Solution:

x = 2/7 or x= 0.285714

Answer:

1.2in

Step-by-step explanation:

Answer:

(1) 1.2 inches

Answer:

1.30 :)

All you have to do is see if the number on your left is greater than 5 or not if it’s is round up 1 if not it stays the same !

Hope this helped !!!

Step-by-step explanation:

Answer: For the last answer its actually less than

Step-by-step explanation: Instead of you put less than you put Its less than or equal to which is wrong.