A, E and B lie on a straight line segment.
C, D and B lie on a straight line segment.
BD = 3m, CD = 15m and AB = 21m.
Work out the length of BE.
Give your answer as a decimal.

Answers

Answer 1

The length of line BE on the given line segment is 3.5 m.

The given parameters:

Length BD = 3 mLength CD = 15 mLength AB = 21 m

The sketch of the given line segments is presented in the diagram uploaded.

The length of BE is determined by applying similar triangle theorem as follows;

[tex]\frac{CB}{AB} = \frac{BD}{EB} \\\\\frac{15 + 3}{21} = \frac{3}{EB} \\\\18EB = 63 \\\\EB = \frac{63}{18} \\\\EB = 3.5 \ m[/tex]

Thus, the length of line BE on the given line segment is 3.5 m.

Learn more about similar triangle here: https://brainly.com/question/11899908

A, E And B Lie On A Straight Line Segment.C, D And B Lie On A Straight Line Segment.BD = 3m, CD = 15m

Related Questions

Solve this math problem. Correct answer gets brainliest.

Answers

Answer:

$28.50

Step-by-step explanation:

21 ÷ 14 = 1.5

19 · 1.5 = 28.50

Hope this helps!!

The price of 40L petrol is £24, find the price of each litre.

Answers

Answer:

I will help you with this

When two parallel lines are intersected by a transversal, alternate exterior angles are?

1. Different
2. 180 degrees
3. 90 degrees
4. congruent

Answers

1 is your welcome the answer

Sara bought 12 roses for $30. Find the unit price

Answers

You can divide 12 by 30. This will get you the price of 1

Kasey had to make a down payment of 17% of the selling price of her house. She was approved for a $255,000 mortgage. What range of costs might she expect to pay at the closing?

Answers

Answer:

aq lang to Yung d na binalikan Yung iniwan na parang basura

What is the probability of picking an 8 and then picking a number greater than 6?

Answers

What are you picking the numbers out of?? You can’t really solve it without knowing what all your outcomes could be

A system of equations is made up of an ellipse and a hyperbola.

Part A: Create the equation of an ellipse centered at the origin, with a vertical major axis of 8 units and a minor axis of 6 units. Show your work. (3 points)

Part B: Create the equation of a hyperbola centered at the origin, with a horizontal transverse axis, vertex at (–4, 0), and asymptotes of y equals plus or minus seven fourths x period Show your work. (4 points)

Part C: Determine the domain of each conic section and use it to explain why there is no solution to the system. (3 points)

Answers

The equation of the ellipse and the equation of the hyperbola can be

derived from the given information and the general form of the equations.

[tex]Part \, A: The \ equation \ of \ the \ ellipse \ is; \displaystyle \frac{x^2}{3^2} + \frac{y^2}{4^2} = 1[/tex]

[tex]Part \, B: The \ equation \ of \ the \ hyperbola \ is; \displaystyle \frac{x^2}{(-4)^2} - \frac{y^2}{(-7)^2} = 1[/tex]

Part C: The domain of the ellipse is; [-3, 3]

The domain of the hyperbola is; (-∞, -4]

The domains of the ellipse and the hyperbola do not intersect, therefore, the system of equation has no solution.

Reasons:

Part A: The center of the ellipse = At the origin;

The vertical major axis = 8 units

The minor axis = 6 units

The general equation for an ellipse is presented as follows;

[tex]\displaystyle \frac{x^2}{b^2} + \frac{y^2}{a^2} = 1[/tex]

Where;

[tex]\displaystyle a = The \ \mathbf{ semi \ major \ axis} = \frac{8}{2} = 4[/tex]

[tex]\displaystyle b = The \ semi \ \mathbf{ minor} \ axis = \frac{6}{2} = 3[/tex]

The equation of the ellipse is therefore;

[tex]\displaystyle \underline{\frac{x^2}{3^2} + \frac{y^2}{4^2} = 1}[/tex]

Part B: center of the hyperbola = The origin

The transverse axis = Horizontal

The vertex of the hyperbola = (-4, 0)

[tex]\displaystyle The \ asymptote \ are; \ y = \mathbf{ \pm\frac{7}{4} \cdot x}[/tex]

The general equation of an hyperbola is presented as follows;

[tex]\displaystyle \mathbf{\frac{x^2}{a^2} - \frac{y^2}{b^2}} = 1[/tex]

[tex]\displaystyle The \ asymptote \ are; \ y = \mathbf{\pm\frac{b}{a} \cdot x}[/tex]

The vertices = (a, 0), (-a, 0)

Therefore, by comparison, we have;

a = -4

b = -7

Which gives the equation of the hyperbola as follows;

[tex]\displaystyle \underline{ \frac{x^2}{(-4)^2} - \frac{y^2}{(-7)^2} = 1}[/tex]

The above equation can be written as follows;

[tex]\displaystyle \frac{x^2}{(4)^2} - \frac{y^2}{(7)^2} = 1[/tex]

Part C: Given that both equations are equal, we have;

The covertices of the ellipse are; (-3, 0) and (3, 0)

The domain of the ellipse = [-3, 3]

The domain of the hyperbola = x < The negative vertex

∴ The domain of the hyperbola = x < -4 = (-∞, -4]

The above domain of the ellipse does not extend to the hyperbola, therefore there is no solution to the system.

Learn more about ellipse and hyperbola here:

https://brainly.com/question/17193351

https://brainly.com/question/8957529

1.) Jacob bought a total of 9 pizzas for his class party. The amount of
large pizzas was twice the amount of medium pizzas. How many large
and how many medium pizzas did he buy?
Equation #1:
Equation #2:
Large Pizzas:
Medium Pizzas:
what’s the equations

Answers

He purchased 6 large pizzas and 3 medium pizzas.

Answer:

Equation 1: L+M=T

Equation 2: 2M=L

Large Pizzas: 6 pizzas

Medium Pizzas: 3 Pizza

Step-by-step explanation:

Equation 1 looks like L+M=T where L is large pizza, M is medium pizza and T is Total of pizzas. The second one would look like 2M=L, to represent how twice the amount of medium pizza equal large pizza. If you were using different variables it would look like X+Y=Total, and 2X=Y.

Is the following double number line drawn correctly? Use complete sentences to explain your reasoning.

Answers

The double number line is not correctly drawn because the second line shows numbers that do not follow a sequence.

What is a double number line?

A double number line is a type of graph that displays two lines each with numbers that follow a sequence. Moreover, it is expected the numbers in one line are equivalent to the numbers on the other line.

For example, the top line can show the weight in grams, while the bottom line shows the weight in kilos.

Is the double number line correct?

This double number line is not correct because the second line has numbers that do not a follow a sequence, the correct sequence would be:

0, 4, 8, 12 (multiples of 4), which means 3 does not match.

Learn more about sequences in: https://brainly.com/question/21961097

#SPJ1

Answer:The double number line is not correctly drawn because the second line shows numbers that do not follow a sequence.

What is a double number line?

A double number line is a type of graph that displays two lines each with numbers that follow a sequence. Moreover, it is expected the numbers in one line are equivalent to the numbers on the other line.

For example, the top line can show the weight in grams, while the bottom line shows the weight in kilos.

Is the double number line correct?

This double number line is not correct because the second line has numbers that do not a follow a sequence, the correct sequence would be:

0, 4, 8, 12 (multiples of 4), which means 3 does not match.

first middel schooler to answer gets brainlest what is 124x6?

Answers

Answer:

744

Step-by-step explanation:

mooooooooo 4/9-4/10 =

Answers

Answer:

0.04444444444

Step-by-step explanation:

[tex]\\ \rm\rightarrowtail 4/9-4/10[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{40-36}{90}[/tex]

[tex]\\ \rm\rightarrowtail 4/90[/tex]

[tex]\\ \rm\rightarrowtail 2/45[/tex]


Find the distance between (-4,-8) and (-4,0).


Answers

Answer:

[tex]\huge\boxed{\sf |AB| = 8\ units}[/tex]

Step-by-step explanation:

Given the two co-ordinates:

A(x1,y1) = (-4,-8)

B(x2,y2) = (-4,0)

Putting them in the distance formula:

[tex]|AB| = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\\|AB| = \sqrt{(-4-(-4))^2+(0-(-8))^2} \\\\|AB| = \sqrt{(-4+4)^2+(0+8)^2} \\\\|AB| = \sqrt{8^2} \\\\|AB| = 8\ units\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Please help me with the following question:

Answers

Answer:

the answer to this problem is D: 180 + w-z

Please help peeps
Thanks

Answers

Answer:

B) 6

Step-by-step explanation:

If this is similar triangles:

x:42=6:42

Well you could also just

bigger triangle is isosceles

so x=6

The cost of 2.25
pounds of grapes is
$6.75. The cost of 5
pounds of grapes is
$15. Find the slope in
dollars per pound.

Answers

Answer:

Hope this helps! <3

Step-by-step explanation:

The slope or increase in cost per pound is 3. (1 pound of grapes costs $3)

What is the distance between (7, 1) and (-4, -5)?

Answers

Answer:

The distance between [tex](7,1)[/tex] and [tex](-4,-5)[/tex] is [tex]\sqrt{157}[/tex] units

Step-by-step explanation:

Use the distance formula [tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex] where [tex]d[/tex] is the positive distance between [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]:

[tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

[tex]d=\sqrt{(-5-1)^2+(-4-7)^2}[/tex]

[tex]d=\sqrt{(-6)^2+(-11)^2}[/tex]

[tex]d=\sqrt{36+121}[/tex]

[tex]d=\sqrt{157}[/tex]

Therefore, the distance between [tex](7,1)[/tex] and [tex](-4,-5)[/tex] is [tex]\sqrt{157}[/tex] units

Answer: The distance between (7,1), and (-4, -5) is 12.53.

The graph for the first equation of a system is shown in orange. The second equation is:

3y+30=6x

What is the solution to the system?
A. (2, –10)
B. (1, –8)
C. (–2, –14)
D.(2, –6)

Answers

Answer:

b

Step-by-step explanation:

Slope of the first one:

(-6-0)/(0--3) = -6/3 = -2

y = -2x - 6

3y + 30 = 6x

y + 10 = 2x

-2x - 6 + 10 = 2x

4 = 4x

x = 1

y = -2(1) - 6

y = -8

Which equation is perpendicular to y=4x-6 and passes through point (B, 12)

Answers

Answer:

asdasd

Step-by-step explanation:

asdasdasd

5 The average low temperature for one winter day is 10°F.
The low temperature on that day was actually -2°F.
Write a subtraction problem to represent the
situation. Then write the subtraction problem as
an addition problem.


Answers

Answer:

10 - (-2) = 12, 10 + 2 = 12

Step-by-step explanation:

10 - (-2) = 12

10 + 2 = 12

solve for x: 3x-10 = 2(x+6)

Answers

Answer:

x = 22

Step-by-step explanation:

What is 12xq+35x14/455

x=multiply
+= addition
/= divide

Answers

Answer:

ı wanna learn abot it

Step-by-step explanation:

ı think u should make -b/2a and b^2-4ac

Which statement is true about the number −5? The number −5 is not a rational number because it cannot be written as a ratio of integers. The number −5 is not rational number because it is a negative integer. The number −5 is a rational number because it can be written as the fraction −51. The number −5 is a rational number because it can be written as the fraction −50.

Answers

Answer:

The number -5 is not a rational number because it is a negative integers.

Step-by-step explanation:

Hopes This Helps :)

Identify the slope and y-intercept of the function y = –8x + 1. A. The slope is 8. The y-intercept is (0, 1). B. The slope is –8. The y-intercept is (0, 1). C.The slope is 1. The y-intercept is (0, 8). D. The slope is 1. The y-intercept is (0, –8).

Answers

Answer:

b

Step-by-step explanation:

-8 Is the slope and yintecept is 0,1

brainliest if correct




Solve.

−49x+2.4=6

Enter your answer as a decimal or as a mixed number in simplest form in the box.

x =
$\text{Basic}$

Answers

Step-by-step explanation:

[tex] - 49x + 2.4 = 6 \\ - 49x = 6 - 2.4 \\ - 49x = 3.6 \\ x = \frac{3.6}{ - 49} \\ x = - \frac{18}{245} = - 0.0735[/tex]

Jacob has 4 reams of paper. Each ream of paper has 250 sheets of paper.
He will take the paper and make booklets. Each booklet will use 8 sheets of
paper What is the greatest number of booklets Jacob can make with this
amount of paper?
A 262
B. 125
C 1,008
D. 575

Answers

Answer: 125

Explanation
250x4=1000
1000 divided by 8 = 125
Answer:125 bookletsStep-by-step explanation:

1 ream = 250 papers

=> 4 reams = 250 x 4=> 4 reams = 1000 papers.

1 booklet = 8 papers

=> 1000 ÷ 8 = x booklets=> 125 bookletsConclusion:

Therefore, with 4 reams of paper, Jacob will be able to create 125 booklets.

Hoped this helped.

[tex]-BrainiacUser1357-[/tex]

How onto add, subtract, multiply, and divide decimals

Answers

Answer:

Hope this helps. x

please help with geometry problems

Answers

Answer:

put your  best gees

Step-by-step explanation:

I need help ASAP …………….

Answers

Answer:

for me the answer is y=0.17x+2

not sure

correct me if im wrong

love ya

Step-by-step explanation:

#brainly

Which equation represents the line through (0,0) and (3, 4)?

O A. y = x

O B. y = 4x

O C. y = 2

O D. y = 3x

Answers

Answer:

y=4/3x

Step-by-step explanation:

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

m=(4-0)/(3-0)

m=4/3

y-y1=m(x-x1)

y-0=4/3(x-0)

y=4/3(x)

y=4/3x

Last year, a website had 40,000 visitors and this year there is 37,000 visitors what is the percent change of the visitors

Answers

Answer:

-7.5 %

Step-by-step explanation:

Percent change can be calculated as

(change)/(original number) * 100, with the * 100 representing a change from decimal (which is what we get from dividing) to percent.

Here, change is (final - original) = 37000-40000 = -3000. Divide this by the original number, 40000, to get -3000/40000 = -0.075. Multiply this by 100 to get -7.5 % as our answer

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