A,B and C are the vertices or a triangle.
A has the coordinates (4,6).
B has coordinates (2,-2)
C has coordinates (-2,-4)
D is the midpoint of AB.
E is the midpoint of AC.
Prove that DE is parallel to BC.
You must show each stage of your working.

Answer:

no

Step-by-step explanation:

no

when you add the squares of 4.7 and 10.4 you get 130.25

then take the square root of 130.25

it goes to around 11 which isnt 13

so no

Answer:

No

Step-by-step explanation:

Because 4.7, 10.4, and 13 cm make an obtuse scalene triangle.

(a) The area of triangle F is 4 times the area of triangle G.

(b) The area of triangle B is 1/4 times the area of triangle G.

(c) The area of triangle F is 16 times the area of triangle B.

(d) The area of triangle H is 1/9 times the area of triangle F.

(e) The area of triangle H is 4/9 times the area of triangle G.

(f) The area of triangle B is 9/16 times the area of triangle H.

(a) Triangle G and Triangle F

Consider triangle F,

The height of the triangle is 8.

The base of the triangle is 6.

The hypotenuse of the triangle is 10.

Area of ΔF = ( 1/2 ) × b × h = ( 1/2 ) × 6 × 8 = 24 square units.

Consider triangle G,

The height of the triangle is 4.

The base of the triangle is 3.

The hypotenuse of the triangle is 5.

Area of ΔG = ( 1/2 ) × b × h = ( 1/2 ) × 3 × 4 = 6 square units.

Therefore,

Area of ΔF = 4 × Area of ΔG

(b) Triangle G and Triangle B

Consider triangle G,

The area of the triangle is:

Area of ΔG = ( 1/2 ) × b × h = ( 1/2 ) × 3 × 4 = 6 square units.

Consider triangle B,

The height of the triangle is 2.

The base of the triangle is 3/2.

The hypotenuse of the triangle is 5/2.

Area of ΔB = ( 1/2 ) × b × h = ( 1/2 ) × 3/2 × 2 = 3/2 square units.

Now, 4 × 3/2 = 6

Therefore,

Area of ΔG = 4 × Area of ΔB

Area of ΔB = 1/4 × Area of ΔG

(c) Triangle B and Triangle F

Consider triangle B,

Area of ΔB = ( 1/2 ) × b × h = ( 1/2 ) × 3/2 × 2 = 3/2 square units.

Consider triangle F,

Area of ΔF = ( 1/2 ) × b × h = ( 1/2 ) × 6 × 8 = 24 square units.

Now, 16 × 3/2 = 24

Therefore,

Area of ΔF = 16 × Area of ΔB

(d) Triangle F and Triangle H

Consider triangle F,

Area of ΔF = ( 1/2 ) × b × h = ( 1/2 ) × 6 × 8 = 24 square units.

Consider triangle H,

The height of the triangle is 8/3.

The base of the triangle is 2.

The hypotenuse of the triangle is 10/3.

Area of ΔH = ( 1/2 ) × b × h = ( 1/2 ) × 2 × 8/3 = 8/3 square units.

Now, 9 × 8/3 = 24

Therefore,

Area of ΔF = 9 × Area of ΔH

Area of ΔH = 1/9 ×  Area of ΔF

(e) Triangle G and Triangle H

Consider triangle G,

Area of ΔG = ( 1/2 ) × b × h = ( 1/2 ) × 3 × 4 = 6 square units

Consider triangle H,

Area of ΔH = ( 1/2 ) × b × h = ( 1/2 ) × 2 × 8/3 = 8/3 square units.

Now,

9/4 × 8/3 = 6

Therefore,

Area of ΔG = 9/4 × Area of ΔH

Area of ΔH = 4/9 × Area of ΔG

(f) Triangle H and Triangle B

Consider triangle H,

Area of ΔH = ( 1/2 ) × b × h = ( 1/2 ) × 2 × 8/3 = 8/3 square units

Consider triangle B,

Area of ΔB = ( 1/2 ) × b × h = ( 1/2 ) × 3/2 × 2 = 3/2 square units

Now,

16/9 × 3/2 = 8/3

Therefore,

Area of ΔH = 16/9 × Area of ΔB

Area of ΔB = 9/16 × Area of ΔH

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Using proportions, it is found that:

a) Jana runs faster, due to the higher velocity.

b) Jana's speed is of 47,520 feet per hour.

c) Jana's speed is of 792 feet per minute.

A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using relations with operations such as multiplication and division.

One example of the application of proportions in this problem is for the relation between velocity, distance and time, as velocity is distance divided by time, that is:

v = d/t.

Hence the velocities in this problem are given as follows:

Due to the higher velocity, Jana runs faster.

Another application of proportions is for conversion of units. Each mile has 5280 feet, hence Jana's speed in feet per hour is given by:

9 x 5280 = 47,520 feet per hour.

Each hour has 60 minutes, hence Jana's speed in feet per minute is given by:

47520/60 = 792 feet per minute.

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The domain and range are [0, 800] and [0, 800], respectively.

Complete question: Carly is traveling to visit family. She drives x miles on the first day and y miles on the second day for a total of 800 miles. What are the domain and range of this relationship?

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Answer:

Step-by-step explanation:

Answer:

Vertex (4,-1)

Axis Symmetry: x=4

x: 2,3,4,5,6

y: 3,0,-1,0,3

Step-by-step explanation:

The download is the graph

Answer:

508

Step-by-step explanation:

Answer:

Step-by-step explanation:

56x7=392+89=481-45=436+72=508

The slope of the table is 3.

In this question, we have been given a table.

We need to find the slope of the table.

For aby two points (x1, y1) and (x2, y2), we use the formula of slope,

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

m1 = (15 - 30) / (-5 - 0)

m1 = (-15) / (-5)

m1 = 3

For a pair of points (-5, 15) and (10, 60)

m2 = (60 - 15) / (10 + 5)

m2 = 45 / 15

m2 = 3

For a pair of points (10, 60) and (5, 45)

m3 = (45 - 60) / (5 - 10)

m3 = -15 / -5

m3 = 3

Therefore, the slope of the table is 3.

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Shortest side of a triangle is  x - 2 = 7 - 2 = 5cm.

Given,

Triangle is a Right - angled triangle

Base of triangle is = x + 4

Height of triangle is = x -2

The area of the triangle is 27.5 cm²

To find the length of the shortest side of the triangle.

Now, According to the question:

We know that

Area of triangle is = 1/2 x base x height

Put the values of base and height in above formula

27.5  = 1/2 × (x + 4) × (x - 2)

27.5 × 2 = x (x - 2) + 4(x -2 )

55 = [tex]x^{2} + 4x - 2x - 8[/tex]

[tex]x^{2}[/tex] + 2x - 63 = 0

[tex]x^{2}[/tex] + 9x - 7x - 63 =0

x (x + 9) -7 (x + 9) =0

x = -9 or x = 7

Hence, Shortest side of a triangle is  x - 2 = 7 - 2 = 5cm.

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Answer:

100????

Step-by-step explanation:

The required equation is x+4y-9 = 0.

What is an equation?

Algebra is concerned with two types of equations: polynomial equations and the particular case of linear equations. Polynomial equations have the form P(x) = 0, where P is a polynomial, while linear equations have the form ax + b = 0, where a and b are parameters, when there is only one variable. To solve equations from either family, algorithmic or geometric approaches derived from linear algebra or mathematical analysis are used. Algebra also investigates Diophantine equations with integer coefficients and solutions. The approaches employed are unique and derive from number theory. In general, these equations are complex; one frequently searches just for the existence or lack of a solution, and, if they exist, the number of solutions.

The equation is formed below

(y-2) = {(1-2)/(3+1)} (x+1)

or, y-2 = - 1/4 (x+1)

or, 4(y-2) = -1(x+1)

or, 4y - 8 = 1 - x

or, x+4y-9 = 0

Hence, the required equation is x+4y-9 = 0.

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The constant of proportionality for the smoothie is 0.353.

It should be noted that the constant of proportionality shows the proportional relationship between the variables that are given.

In this case, to make a smoothie you use 12 cup of yogurt for every 34 cup of fruit, the constant of proportionality will be:

y = kx

where y = number of cups of fruit needed

x= number of cups of yogurt needed to make a smoothie.

This will be:

y = kx

12 = 34k

Divide through by 34

k = 12/34

k = 0.353

The constant is 0.353

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Answer:

y=6x-6

Step-by-step explanation:

find the slope

y2-y1/ x2-x1

then put one of the points in y-y1=m(x-x1)

The value of x is 15.

The isosceles triangle theorem asserts that if two sides of an isosceles triangle are equal, then the angles opposite the equal sides will likewise be equal.

Given:

The given angles are:

∠WYX = (4x - 2)°

∠WXY = 62°

The length of side WX = 8

The length of side WY = 8

So, WX = WY = 8, hence it is an isosceles triangle.

By Isosceles Triangle Theorem,

∠WYX = ∠WXY

(4x - 2)°= 62°

4x = 62° - 2°

x = 60/4

x = 15

Therefore, the value of x is 15.

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For the given equation, the values of x are -3 and -2.

The breaking or decomposition of an entity (such as a number, a matrix, or a polynomial) into a product of another entity, or factors, whose multiplication results in the original number, matrix, etc., is known as factorization or factoring in mathematics.

N = Xa Yb Zc is how the general factorization formula is written. The exponential powers of the factors of a factorized number are shown here by the letters a, b, and c.

Given,

x^2 + 5x + 6

⇒ x^2 + 3x + 2x + 6

⇒ x (x + 3) + 2 (x + 3)

⇒ (x + 3) (x + 2)

⇒ x = -3, x = -2

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If Natasha is taking out a three week payday loan for $400. He will be charged with $70 interest for a 3 week loan. the APR (annual percentage rate) is $304.2

Using this formula to determine the annual percentage rate
APR = [(( interest/principal)/number  of days )×365]×100

Principal = $400

Interest = $70

Number of days = 3 weeks = 21 days

Let plug in the formula

APR  = [(( 70 / 400)/ 21) ×365 ] ×100

APR  = 0.008333 x 365 × 100

APR =  304.166

APR = 304 .2 (Approximately)

Therefore the APR is $304.2.

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so the first part is p

the second part is 5p

the third part is p+35

all together, you have 7p + 35 = 385

so 7p = 350, so p = 50.

so the first part is 50, the second part is 250, and the third part is 85. together they make 385!

The box-and-whisker plot that correctly summarizes the data is given at the end of the answer.

A box and whisker plot shows five things of a data-set:

The ordered data-set in this problem is as follows:

0, 0, 0, 1, 1, 3, 3, 5, 5, 7, 8, 8, 9, 14, 25, 25, 26, 29, 42, 44, 52, 72, 92, 98, 118.

The data-set has 25 elements, in which:

The data is missing, and is given as follows:

0, 0, 0, 1, 1, 3, 3, 5, 5, 7, 8, 8, 9, 14, 25, 25, 26, 29, 42, 44, 52, 72, 92, 98, 118.

The problem asks for the box plot that represents the situation.

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Answer:

Step-by-step explanation:

the bumble bee flutters it’s wings 3000 times faster

Knowing that the bumble be can do 7800 in one minute and the humming bird can do 80 in a second 1 minute is 80 seconds so if we do 80 times 60 we get 4800 which is less then the amount of flutters the bumble bee does by 3000 flutters

Answer:

first person s correct

Step-by-step explanation:

Based on the area of the Mojave desert and the area of the scale drawing, the scale of the map is 1 square inches : 2,500 square miles.

The scale of a map is used to find out how the distance on the map relates to the distance on the ground. It is usually shown as a ratio.

The fact that the area of the Mojave desert is 25,000 square miles but only 10 square inches on the scale drawing means that every 10 square inches on the map is equal to 25,000 actual square miles.

The scale is:

10 square inches : 25,000 square miles

In its simplest form, this is:

10 / 10 square inches : 25,000 / 10 square miles

1 square inch : 2,500 square miles

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The nearest tenth is option(B.) and actual sum is option(C.)

BODMAS is an acronym to remember the order of mathematical operations – the correct order in which to solve maths problems. Bodmas stands for

B-Brackets,

O-Orders (powers/indices or roots),

D-Division,

M-Multiplication,

A-Addition,

S-Subtraction.

Solve the given expression,

(-2.678) + 4.5 + (-0.68)

Follow the Bodmas rule, to solve the given expression.

First, open the brackets,

-2.678 + 4.5 - 0.68

Now, put together -ve terms

-2.678 - 0.68 + 4.5

Add the -ve terms, we get

-3.358 + 4.5

Now subtract this, we get

1.142 or 1.1 (round to nearest tenth)

Hence, the nearest tenth is option(B.) i.e, 1.1  and actual sum is option(C.) i.e, 1.142

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Answer:

x=7

Step-by-step explanation:

5(2x-5) = 10x-25

1) add 25 to both sides

10x+25=10x      6x+3+25=6x+28

10x=6x+28

2) subtract 6x from both sides

10x-6x=4x      6x+28-6x=28

4x=28

3) divide by 4 from both sides

4x/4=x      28/4=7

x=7

Hope this helps, have a great day!!

The value of y in the expression -5(2x - 5) = 6x + 3 is 22/16

According to the given question

We have an equation in one variable

⇒  -5(2x - 5) = 6x + 3

For finding the value of x solve the above equation by adding and subtracting the like terms.

So, -5(2x - 5) = 6x + 3

⇒ -5 x 2x + 5 x 5 = 6x + 3

⇒ -10x + 25 = 6x + 3

⇒  25 - 3 = 6x + 10x

⇒  22 = 16x

⇒ x = 22/16

Hence, the value of y in the expression -5(2x - 5) = 6x + 3 is 22/16

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Answer: x = -24    

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The function is decaying exponentially at a rate of 85% every year

0.15 is less than 1. This represents decay

Decay rate is 1 - 0.15 = 0.85 = 0.85*100 = 85%

t is given in years

Exponent is t, so it is every year.

The function is decaying exponentially at a rate of 85% every year

Answer:

y = -3/5x + 8

Step-by-step explanation:

Step 1:

Plot your point and then use your slope to find another point on the graph.

Step 2:

Draw a line through the points

Step 3:

Find your y-int

y = mx + b where x and y are variables, m is the slope and b is the y-int

y = -3/5x + 8

Answer:

y= 8 + (-3/5)x is the equation of the line

Answer:

3w + 2

Step-by-step explanation: