Derrick is placing a right triangle in the coordinate plane. He knows that the longer leg is 3 times the length of the shorter leg. He places the longer leg on the x-axis.

What coordinates should he assign to the third vertex of the triangle?

Answers

Answer 1

Answer:

Longer leg is placed on X axis.

Let the longer leg be at A(0,0) and B(3 a,0),or (-3 a,0), which is  either base or altitude.

AB= 3 a

As longer leg = 3 × shorter leg

Shorter leg should be placed  either at (0,a) or (0,-a) maintaining triangle as right angled triangle.

Step-by-step explanation:


Related Questions

the sum of the measurement of the angles of a triangle equals 180 degrees what is the measure of the missing angle.​

Answers

Answer:

108.9

Step-by-step explanation:

180-(30.3+40.8)

180-71.1

108.9

HELP ME OMG ILL GIVE YOU BRAINLIEST AND ILL FOLLOW YOU!!!!!!!

Explain in detail with at least two sentences how to represent the sum of z1 and z2 geometrically given that z1 = 8 – I and z2 = -9 + 2i. Then, give the sum 21 + Z2 in rectangular form.​

Answers

Answer:

Given are two complex numbers as

When we add algebraically, we add the real parts and then add the imaginary parts separately

Hence

Geometrically we draw position vector of both the points.  The sum would be resultant of these two vectors.

Step-by-step explanation:

The sum of the complex number in rectangular form is -1 +i

Sum of complex number

Complex numbers are written in the form x + iy

Given the complex numbers expressed as:

z1 = 8 - i

z2 = -9 + 2i

Take the sum

z1 + z2 = (8 - 9) + (-i+2i)
z1 +z2 = -1 + i

Hence the sum of the complex number in rectangular form is -1 +i

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please solve due soon

Answers

The correct answer would be 5 because if x=0 then 5 0 times would just be zero

Answer:

5

Step-by-step explanation:

5+5(0)

16(x+3)=4(x+9)
solve for x​

Answers

Respuesta :

Ecuación : 16 (x + 3) = 4 (x + 9)

Resolvemos :

  [tex]16(x+3)=4(x+9)\\16x+48=4x+36\\16x-4x=36-48\\12x=-12\\x=-12/12\\\\\boxed{x=-1}[/tex]

Explicación paso a paso :

        16 (x + 3) = 4 (x + 9)

Multiplicamos los paréntesis "16(x+3)" y "4(x+9)"

        16x + 48 = 4x + 36

Términos semejantes ...

        16x - 4x = 36 - 48

Restamos respectivamente ...

        12x = -12

El número 12 multiplicando a "x" pasa a dividir...

        x = -12 ÷ 12

Dividimos y ya tenemos el resultado!! ^-^      x = -1

Ver mas ejemplos : brainly.lat/tarea/29507142

15 POINTS PLEASE HELP!

Answers

Answer:

buddy...u weren't able to attach it properly...

Step-by-step explanation:

u may type it out in the comments...

Tommy multiplied 0.24 by 100 to change it to what type of number?

A) percent
B) decimal
C) fraction
D) benchmark percent

Answers

Percent.

It wouldn’t be a decimal because 0.24 x 100 = 24
It wouldn’t be a fraction because it would be a whole number
It wouldn’t be a benchmark percent because it’s not 25, 50, 75 or 100

A plumber charges $75 for a house call plus $35 per hour to work on the problem. you paid $145. How many hours did the plumber work?​

Answers

Answer:

2

Step-by-step explanation:

145 - 75 = 70

70 divided by 35 = 2

2 hours

Answer:

2 hours

Step-by-step explanation:

x is how meany hours he worked and we know that

145=45x+75 is true and when you put 2 in place for x you get 90+75 = 145 and 145=145

how can we use a number line to help calculate elapsed time

Answers

i’m not 100% sure but i think by what i learned that you would use a number line to measure to the number than the closest number of the time your looking for would be looking for.

Johnny's Towing Company charges a one-time towing fee of $50, plus $20 per day
that they keep each car.
If Johnny changes his one-time towing fee to $75, describe how the graph of his
function would change.

Answers

The slope is curved

The question is in the picture below....

Answers

Answer:

The measure of the indicated exterior angle is 110°

Step-by-step explanation:

Let us revise the rule of the exterior angle

In a triangle, the measure of an exterior angle at a vertex of the triangle equals the sum of the measures of the two opposite interior angles to this vertex.

We will use this rule to solve the question

∵ The ladder, the house, and the ground formed a right triangle

The ladder's angle with the ground facing away from the house is

   an exterior angle of the triangle

∵ The angles of measures 90° and 20° are its opposite interior angles

→ By using the rule above

The measure of the exterior angle = 90° + 20°

∴ The measure of the exterior angle = 110°

∴ The measure of the ladder's angle with the ground facing away

   from the house is 110°

The measure of the indicated exterior angle is 110°

The graph shows a line and two similar triangles. On a coordinate plane, a line goes through (0, 3) and (6, 11). A small triangle has a rise of 4 and run of 3. What is the equation of the line? y = 3 x + 3 y = three-fourths x + 3 y = four-thirds x + 3 y = 4 x + 3

Answers

Answer:

i think that the answer is the first equation

Step-by-step explanation:

The equation of the line passing through the points (0, 3) and (6, 11) is:

y = (4/3)x + 3.

Option C is the correct answer.

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

To find the equation of the line passing through the points (0, 3) and (6, 11).

We can use the slope-intercept form of a linear equation,

which is y = mx + b, where m is the slope of the line and b is the y-intercept.

First, we can find the slope of the line by using the formula:

[tex]m = (y_2 - y_1) / (x_2 - x_1)[/tex]

where

[tex](x_1, y_1) = (0, 3)\\(x_2, y_2) = (6, 11).[/tex]

So,

m = (11 - 3) / (6 - 0) = 8/6 = 4/3

The slope of the line is 4/3.

Next,

We can use the point-slope form of a linear equation to write the equation of the line in terms of one of the points and the slope:

[tex]y - y_1 = m(x - x_1)[/tex]

Choosing the point (0, 3), we get:

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

Simplifying and solving for y, we get:

y = (4/3)x + 3

Therefore,

The equation of the line passing through the points (0, 3) and (6, 11) is:

y = (4/3)x + 3.

Learn more about equation of a line here:

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At Saturday night’s football game there were 18 less fans than half the fans at Friday night’s game. There were “x” fans at Friday’s game. Write an expression to represent the number of fans at Saturday’s game.

Answers

This can be expressed in this form:

1/2x - 18.

there are 40 boys and 20 girls at the party 35% from boys wearing glasses and 60% girls wearing how many people wearing glasses glasses

Answers

Answer:

12 g 14 b

Step-by-step explanation:

.

. William fills 1/3 of a water bottle in 1/6 of a minute. How much time will it
take him to fill the bottle?

Answers

Answer:

It will take him

[tex] \frac{1}{2} [/tex]

of a minute to fill the bottle.

Step-by-step explanation:

I'm really not sure this is right but..

we can solve using proportions. Cross-multiply and divide.

[tex]\frac{ \frac{1}{3} of \: a \: water \: bottle}{\frac{1}{6} minute} \: = \frac{ \frac{3}{3} of \: a \: water \: bottle}{x} \\ \\ \frac{ \frac{1}{6} }{ \frac{1}{3} } = \frac{ \frac{1}{3} x}{ \frac{1}{3} } \\ \\ \frac{1}{2} = x[/tex]

Y+4=2(x+3) In slope-intercept form

Answers

Y=2x+2 this is the answer hope this helps
Answer: y =  m x  +  b . Y  =  2 x  +  2______________________________________Hope this helps!

Also can I please have Brainliest?

Only if I'm correct of course.

Your welcome, Loves!

The sword maker in the cove ordered a special tape to wrap the sword handles with. He knew each sword would need 48 inches of tape. If he ordered 100 feet of tape, will he have enough tape to wrap 28 swords? How much will he have left over or how much more will he need?

Answers

Answer:

a) If he ordered 100 feet of tape, will he have enough tape to wrap 28 swords?

No he would not

b) How much will he have left over or how much more will he need?

= He would have 144 inches left over.

Step-by-step explanation:

The sword maker in the cove ordered a special tape to wrap the sword handles with. He knew each sword would need 48 inches of tape. If he ordered 100 feet of tape, will he have enough tape to wrap 28 swords? How much will he have left over or how much more will he need?

From the above question, each sword would need 48 inches of tape

He would need to wrap 28 swords, hence:

1 swords = 48 inches

28 swords = x

x = 28 × 48 inches

= 1344 inches of tapes

Therefore to cover each sword he would need a total of 1344 inches of tape.

He ordered 100 feet of tape

We convert 100 feet to inches

1 foot = 12 inches

100 feet = x

x = 100 × 12 inches

x = 1200 inches

Hence, he ordered 1200 inches of tape.

a) If he ordered 100 feet of tape, will he have enough tape to wrap 28 swords?

100 feet = 1200 inches of tapes

To wrap 28 swords he would need 1344 inches of tape hence, he would not have enough tape to wrap 28 swords.

b) How much will he have left over or how much more will he need?

= 1344 inches - 1200 inches

= 144 inches

He would have 144 inches left over.

i have to find the area of the shaded region. please helppp!!!!! xksnkskzks

Answers

Answer:

9.53 cm2

Step-by-step explanation:

hope it helps

Here is the solution:

it is any equation in the form f of x = ax to the second power + bx + c where a b and c are real numbers and a not equal to zero . is t a linear equation, quadratic,rational​

Answers

Answer:

The answer to this depends on the accuracy of the way this is transcribed.  If the value on the left side of the equals sign is indeed x, then it would be a rational equation.  If it is meant to be another scalar value though, then this would be a quadratic equation.

Step-by-step explanation:

This depends on the what is on the other side of the equals sign.  If it is a scalar value, then you are guaranteed a proper quadratic equation.  In the example given though:

[tex]x = ax^2 + bx + c[/tex]

This is not actually true.  In this example, we can divide both sides by x, giving us a very different equation:

[tex]x = ax^2 + bx + c\\1 = ax + b + c/x\\ax + c/x = 1b[/tex]

and this equation actually a rational one.

How many solutions does 7x -10 = 7(x+3)

Answers

Answer: The answer to this question is that there is no solution to that problem

Step-by-step explanation:

Maggie and three friends are going to the movies. It cost them ten dollars for their tickets and
snacks cost three dollars each. In interval form, how many snacks can they buy if they brought
thirty-five dollars?

Answers

Answer:

8 Snacks

Step-by-step explanation: First subtract 35 by 10 because u need to subtract the cost of the tickets. Thenyou get an answer of 25 so u divide 25 by 3 and u get 8 remainder 1 so u can only buy 8 snacks. I believe this is right sorry if it isn't.

How do I do this?
.
.

Answers

Answer:

the answer is 4 i believe

Step-by-step explanation:

URGENT: WILL MARK BRANIEST, LOOK AT PIC!

Answers

Answer:

It gives u answer in picture

Step-by-step explanation:

Free points?

not all rational algebraic equations can be expressed in quadratic equations agree disagree defend your answer in at least two sentences​

Answers

The answer is ask ur teacher it’s agree

isabel needs to memorize words on a vocabulary list for Spanish class. She has 8 words to memorize, and she is one-fourth done. how many words has Isabel memorized so far?​

Answers

Answer:

2

Step-by-step explanation:

1/4 × 8 = 2

:))))nakajsisj

Answer:

2

Step-by-step explanation:

8/ 1/41/4=2

Is (-1, -9) a solution to the equation y 9x?​

Answers

Answer:

Yes if the equation is Y= 9X

Step-by-step explanation:

-9= 9×-1 ---} -9 = -9

Jada has 60% of her goal of $70 saved for her trip.

If 10% x 6 = 60%, how much money does Jada have saved?

Answers

Answer:

60% of $70 is $42, so i think its $42

Answer:

Jada has saved $36

Step-by-step explanation:

60% of $60  is the question

0.6 × $60 is $36

Find the value of X. Help please

Answers

Answer:

x=5√2 units

Step-by-step explanation:

cos(45°)=x/7+3

cos(45°)=x/10

x=10cos(45°)

x=5√2 units

Tell whether the following equation represents or not represents a linear function. 20x + 4y = 8 The equation represents a linear function.​

Answers

Answer:

— 20x + 4y = 8 The equation represents a linear function.​. Add answer+5 pts.

Step-by-step explanation:

What is the exact solution to the equation 4^5x=3^(x-2)
list the steps to get the answer

Answers

Answer: x = -0.377

Step-by-step explanation:

We have the equation:

4^(5*x) = 3^(x - 2)

Now we can use the fact that:

Ln(A^x) = x*Ln(A)

Then we can apply Ln(.) to both sides of the equation to get:

Ln(4^(5*x)) = Ln(3^(x - 2))

(5*x)*Ln(4) = (x - 2)*Ln(3)

(5*x)*Ln(4) - x*Ln(3) = -2*Ln(3)

x*(5*Ln(4) - Ln(3)) = -2*Ln(3)

x = -2*Ln(3)/(5*Ln(4) - Ln(3)) = -0.377

Abby is painting two cubes for an art project.
Cube 1: side length = 3 feet
Cube 2: side length = 2 feet
The surface area of a cube is 6s², where s is the length of one side.
Find the total surface area that Abby will paint.

1. Find the surface area of cube 1. Show your work, and include units with your answer.




2. Find the surface area of cube 2. Show your work, and include units with your answer.




3. What is the total area Abby will paint?

Answers

Answer:1: 56. 3 squared is 9, times 6 is 56.2: 24. 2 squared is 4, times 6 is 24.3: 80. 56+24=80

Step-by-step explanation:

1. The surface area of cube 1 is 54 sq ft,  the surface area of cube 2 is 24 sq ft,  the total area Abby will paint is 78 sq ft

What is a cube?

A cube is a three-dimensional representation of a square. it has 6 faces 2 on the bottom and top, 4 on the sides faces.

We are given that Abby is painting two cubes for an art project.

Cube 1: side length = 3 feet

Cube 2: side length = 2 feet

The surface area of a cube = 6s², where s is the length of one side.

1. Each side of cube 1 is

3 feet x 3 feet, = 9

so, each side has an area of 9 square feet.

Then Multiply by 6 sides and the area

6 x 9 = 54

that is 54 square feet.

2. Each side is 2 feet x 2 feet = 4

so, the area of one side is 4 square feet.

Then Multiply by 6 sides and the area

6 x 4 = 24

That is 24 square feet.

3. the total area = 54 + 24 = 78 square feet

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