A triangle, ABC, has coordinates A (-2, 0), B (-2, 5) and C (-4, 0). What is the length of the shortest side?

Answers

Answer 1

Answer: 2 units.

Step-by-step explanation: When you graph the points given, it gives you this shape in the image below.  The hypotenuse (longest side of triangle) is found by doing the following:

a^2 + b^2 = c^2, where a and b are the legs (the other sides of the triangle) and c is the hypotenuse.

5^2 + 2^2 = 29.

√ 29 ≈ 5.38, and that is the length of the hypotenuse.

The shortest side is the bottom side, which is 2 units.  Therefore, that is your answer.

Let me know if this is right! :)

A Triangle, ABC, Has Coordinates A (-2, 0), B (-2, 5) And C (-4, 0). What Is The Length Of The Shortest

Related Questions

Diego and Lin have savings accounts. Diego had $40 in his account 6 months ago. Now Diego has $250 in his savings account. Lin currently has $100 in her account. She plans to add $50 per month. 1. Write a system of equations to represent Diego and Lin’s savings accounts.

Answers

The equation that can be used to represent Diego's and Lin's savings account is 250 = 40 + 6x and Total savings= 100 + 50x respectively.

How to write equation

let

x = amount added each month

Diego:

6 months ago = $40

Now = $250

250 = 40 + 6x

250 - 40 = 6x

210 = 6x

x = 210/6

x = $35

Lin:

Now = $100

Future = $50 per month

let

x = number of months

Total savings= 100 + 50x

Learn more about equation:

https://brainly.com/question/16863577

Can someone please help me with this? I need to turn it in tomorrow and I don't understand what to do.

Answers

Answer:

Step-by-step explanation:

Slope intercept form

y + 7 = 3(x  + 4)                 Change all the double minuses to pluses.

y + 7 =  3x + 12                  Remove the brackets.

y + 7 - 7 = 3x + 12-7           Subtract 7 from both sides

y = 3x + 5

Slope

Whatever number is in front of the x is the slope Answer: 3

y intercept

Whatever comes after the plus sign (or minus sign) is the y intercept. It is a single number.  Answer: 5

x intercept.

This occurs when y = 0

0 = 3x + 5                      Subtract 5 from both sides

-5 = 3x + 5 -5

-5 = 3x                            Divide by 3

-5/3 = 3x / 3

-5/3 = x                          

Answer: x_intercept = -5/3

Finding the Range
Find the range of the following set of numbers: 3, 16, 4,
17, 42, 12, 12, 16, 92, 14, 5.
After you find the range, explain how you came to that
calculation in the box below.

Answers

Answer:

89

Step-by-step explanation:

92 - 3 =89

subtract smallest from largest

Sandy is designing a circular garden as shown in this image. Her plan is to fill the rectangular region with hyacinths. She will need 78 square feet of space per hyacinth bulb. The hyacinth bulbs are sold in packages of 8.

What is the minimum number of packages Sandy must purchase to complete her plan?

Select from the drop-down menu to correctly complete the statement.

Sandy must purchase a minimum of _________
packages of hyacinth bulbs to complete her plan.

options are, 5,6,7,8

Answers

With one package (less actually) she can fill the 48ft^2 of the rectangular area.

How many packages does Sandy need?

We know that Sandy needs 7.8 square feet of space per hyacinth bulb, and the hyacinth bulbs are sold in packages of 8.

The rectangular region has a surface area of:

A = 8ft*6ft = 48 ft^2

The number of hyacinth bulbs that she can put in that surface is:

N = (48 ft^2/7.8 ft^2) = 6.15

So with 6 hyacinth bulbs, she can almost complete the rectangular area, and on each package there come 8 of them, so with one package she should be fine.

If you want to learn more about areas, you can read:

https://brainly.com/question/24487155

Answer:

The answer is 7 PACKAGES

Step-by-step explanation:

I took the test!

Scott earns $16. 85 per hour at his job. He works 7 hours per day, 4 days per week. What is Scott’s gross monthly income for 4 weeks? a. $471. 80 b. $943. 60 c. $1,415. 40 d. $1,887. 20.

Answers

The gross monthly income for 4 weeks is $1,887.20

We have given that Scott earns $16. 85 per hour at his job.He works 7 hours per day then,

What is the  computation of the gross monthly income for 4 weeks?

Gross income= Earning per hour × number of hours works per day × number of days works per week × number of weeks

Gross income= $16.85 × 7 × 4 × 4

Gross income= $1,887.20

Therefore, the gross monthly income for 4 weeks is $1,887.20.

To learn more about the gross monthly income visit:

https://brainly.com/question/25623677

Help me on this question please!

Answers

[tex]\huge\fcolorbox{blue}{aqua}{Answer:}[/tex]

═════════════════════

[tex]x+5[/tex]

[tex]x^{1-1} [/tex]

[tex]x^{0} [/tex]

[tex] = 1 [/tex]

─────────────────────┈

[tex](2x + 3)[/tex]

[tex]2x^{1-1} [/tex]

[tex]2x^{0} [/tex]

[tex]2\times 1 [/tex]

[tex] = 2[/tex]

══════════════════════

Step-by-step explanation:

#Carry on learning

Please help me solve this

Answers

Answer:

x = 24

Step-by-step explanation:

using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m +n)}[/tex]

consider left side

[tex]5^{\frac{x}{6} }[/tex] × [tex]5^{\frac{x}{2} }[/tex]

= [tex]5^{\frac{x}{6} }[/tex] × [tex]5^{\frac{3x}{6} }[/tex]

= [tex]5^{\frac{4x}{6} }[/tex]

then

[tex]5^{\frac{4x}{6} }[/tex] = [tex]5^{16}[/tex]

since the bases on both sides are equal, both 5 then equate exponents

[tex]\frac{4x}{6}[/tex] = 16 ( multiply both sides by 6 )

4x = 96 ( divide both sides by 4 )

x = 24

Olivia has a beaded necklace business. She can make 12 necklaces in 2 hours. How long will it take her to make 9 necklaces?

Answers

Answer:

1.5hours

Step-by-step explanation:

In exercises, 4 and 5, find the unknown or marked angles. ​

Answers

Answer:

alternate angle and counter

Using the BOX and WHISKER above, what is the LOWER QUARTILE of the information?

Answers

Answer:

Lower Quartile is 8 according to the diagram.

i will mark brainliest rn

Answers

Answer:

65 is the correct answer

Anita is 42 1/2 feet below jared. Steph is 67 3/7 feet above anita. What is stephs position compared to jared. Explain

Answers

Check the picture below.

let's firstly convert the mixed fractions to improper fractions and then subtract.

[tex]\stackrel{mixed}{42\frac{1}{2}}\implies \cfrac{42\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{85}{2}} ~\hfill \stackrel{mixed}{67\frac{3}{7}}\implies \cfrac{67\cdot 7+3}{7}\implies \stackrel{improper}{\cfrac{472}{7}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{472}{7}~~ - ~~\cfrac{85}{2}\implies \cfrac{(2)472~~ - ~~(7)85}{\underset{\textit{using this LCD}}{14}}\implies \cfrac{944~~ - ~~595}{14}\implies \cfrac{349}{14}\implies 24\frac{13}{14}[/tex]

What is the slope of the graph of this function in decimal form?
(6,1) (-6,-5)

Answers

Answer:

slope = 0.5

Step-by-step explanation:

[tex]slope=\frac{-5-1}{-6-6} =\frac{-6}{-12} =\frac{1}{2} =0.5[/tex]

Hope this helps

The slope of the graph through points (6,1) and (-6,-5) is 0.5.

What is the slope of the graph?

The slope formula can be expressed as:

[tex]Slope (m) = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Given the coordinates of the points through which the graph passes through:

Point 1 ( 6,1 )

x₁ = 6

y₁ = 1

Point 2( -6,-5 )

x₂ = -6

y₂ = -5

Plug the coordinates into the slope formula and simplify.

[tex]Slope (m) = \frac{y_2 - y_1}{x_2 - x_1}\\\\Slope (m) = \frac{-5 - 1}{-6 - 6}\\\\Slope (m) = \frac{-6}{-12}\\\\Slope (m) = \frac{1}{2}\\\\Slope (m) = 0.5[/tex]

Therefore, the slope of the line is 0.5.

Learn more about slope formula here: brainly.com/question/24578307

#SPJ3


if 10x+6 = 21 then what is 15

Answers

Answer:

The answer is

1.5 or 10x = 15

Step-by-step explanation:

Since 10x + 6 = 21 and we supposed to find what 15 is, we would have to use these steps;

First subtract 6 on both sides

10x + 6 - 6 = 21 - 6

= 10x = 15

Another way I know the other answer is by multiplying 10 by 1.5 which equals 15.

look figure and give exact answer.​

Answers

Answer:

Those two lines are equal

good afternoon, please help me with this question and if u get it correct ill give u the brainlest

Answers

Answer:

3/5

Step-by-step explanation:

Hope that this helped :)

x - 3y = 4
2x - 5y = 8
solve by substitution

Answers

Answer:

y = 0

x = 4

Explanation:

x - 3y = 42x - 5y = 8

make x the subject,

x - 3y = 4

x = 4 + 3y __ equation 1

2x - 5y = 8

x = (8+5y)/2 __ equation 2

using substitution method:

(8+5y)/2 = 4 + 3y

8 + 5y = 8 + 6y

6y - 5y = 8 - 8

y = 0

Find x,

x = 4 + 3y

x = 4 + 3(0)

x = 4

Answer:

x = 4

y = 0

Step-by-step explanation:

Step 1. Pick one equation and rewrite in the form of x= OR y=

x - 3y = 4      (original)

x = 4 + 3y     (rewritten)

Step 2. Substitute for x in the other equation

2x -5y = 8                 (second equation)

2(4 + 3y) - 5y = 8      (substitute 4 + 3y for x)

Step 3. Solve for the unknown variable, y

2(4 + 3y) - 5y = 8        (distribute)

8 + 6y - 5y = 8            (combine like terms)

y = 0                           (first variable)

Step 4. Find x by plugging y into an equation

x - 3y = 4            (original)

x - 3(0) = 4          (substitute 0 for y)

x = 4                  (second variable)

FINAL SOLUTION: x = 4, y = 0

You can double check this by plugging these numbers back into each equation; x = 4 and y = 0 is true for both.

I hope this helps!

Can someone help me on this question? I’ll give brainliest if you answer soon!!!

Answers

Answer:

81

Step-by-step explanation:

Knowing that;

∠ EHD and ∠FHC are vertical angles.

since, ∠FHC = 81 Thus, ∠EHD = 81

Look at picture below for more information;

~Learn with Lenvy~

Answer:

81

Step-by-step explanation:

Given;

If m ∠FHC = 81 °, then what is m ∠ EHD?

Solve;

∠ EHD and ∠FHC are vertical angles.

Vertical angles ⇒  a pair of opposite angles formed by intersecting lines.

Since, ∠FHC = 81 hence,  ∠EHD  also = 81

[RevyBreeze]

Maria wants to determine which students is favored for president of the student council. Which of the following samples are biased and not freedom? Select all that apply.
O Surveying the boys in the freshman class.
O Surveying every other student in the cafeteria.
O Surveying all the students in her math class.
O Surveying 20 students from each grade at random.
O Surveying the students in the chess club.

Answers

- Surveying the boys in the freshman class is biased. It doesn’t take a sample from all of the school, it is from only one grade and one gender.

-Surveying every other student in the cafeteria would be biased IF only a certain grade was in there at a certain time. If every student was in the cafeteria at the same time, it would be non biased.

-Students in her math class is biased- it only considers those in a certain class, not everyone.

-20 from each grade at random is NOT biased, it considers every grade and 20 random students.

-Chess club is biased. Only students in one particular group get to answer. Hope this helps!

Answer:

A, C, E,

Step-by-step explanation:

A)Surveying the boys in the freshman class.

C)Surveying all the students in her math class.

E)Surveying the students in the chess club.

The expression 8x2 − 144x 864 is used to approximate a small town's population in thousands from 1998 to 2018, where x represents the number of years since 1998. choose the equivalent expression that is most useful for finding the year where the population was at a minimum. 8(x2 − 18x 108) 8(x2 − 18x) 108 8(x − 9)2 − 216 8(x − 9)2 216

Answers

The expression that is most useful for finding the year where the population was at a minimum would be 8(x − 9)² + 216.

Given expression 8x² − 144x + 864 is used to approximate a small town's population in thousands from 1998 to 2018, where x represents the number of years since 1998.

What is a quadratic equation?

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

Given expression is 8x² − 144x + 864

Let y = 8x² − 144x + 864

also,  y - 864 = 8x² - 144x

by Extracting common factor 8 on the right side

y - 864 = 8(x² - 18x)

Add (18/2)² on both sides, we get

y - 864 + 8(18/2)² = 8 (x² - 18x + 81²)

y - 864 + 648 = 8 (x² - 8x + 9)

on simplification

y - 216 = 8 (x - 9)²

y = 8(x - 9)² + 216

therefore, y = 8 (x - 9)² + 216

The expression that is most useful for finding the year where the population was at a minimum would be 8(x − 9)² + 216.

Learn more about a quadratic equation here:

brainly.com/question/2263981

paul says x/y can result in either positive or negative quotient. is paul correct? explain why or why not.

Answers

Answer:

Dividing by same signs give a positive answer.

Dividing by different signs give a negative answer.

Step-by-step explanation:

Quotient is just a term for the answer given by a division problem.

positive/positive = positive

positive/negative = negative

negative/positive = negative

negative/negative = positive

Which quadratic function in standard form has the values a = –3. 5, b = 2. 7, and c = –8. 2? f(x) = 2. 7x2 – 8. 2x – 3. 5 f(x) = 2. 7x2 – 3. 5x – 8. 2 f(x) = –3. 5x2 – 8. 2x 2. 7 f(x ) = –3. 5x2 2. 7x – 8. 2.

Answers

The answer which would absolutely be pi (I’m incorrect am I.)

for each pair of lines, determine whether they are parallel, perpendicular, or neither

Answers

Line 1 and 2 are parallel because they both have the same gradient (-4)
Rearranging line 3 for y is y=-4x + 1. Because the gradient of line 1 and 3 is the same (-4x) this means they are also parallel
Line 2 and 3 are also parallel because they have the same gradient (-4x)

What is the answer to this question????

Answers

Answer:

Yes, its a linear function

Step-by-step explanation:

See, all the results here are one-one which means for a distinct input there will be a distinct output.

That's why its a linear function

Please help I'm extremely confused. Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale. (picture of diagram included )​

Answers

Answer:

x=8.4

Step-by-step explanation:

use tangent to solve the equation which is opposite/adjacent and set up the proportion

[tex] \frac{ \tan(35) }{1} = \frac{x}{12} [/tex]

the cross multiply to get x=tan(35)×12 then multiply that to get x=8.4

Find the Area. First person that answers this and gets it correct gets brainliest.

Answers

Answer:

Step-by-step explanation:

Break up the shape into a trapezoid and rectangle:

Trapezoid area = (Top + Bottom) * Height / 2

= (9 + 20) * (21-16) / 2

= 29 * 5 / 2

= 72.5

Rectangle area = Length * Width

= 20 * 16

= 320

Combining, the total area = 72.5 + 320

= 392.5 in^2

Answer:

A = 392.5 in²

Step-by-step explanation:

The composite figure is made up of a rectangle and a trapezoid.

Calculate the area of the rectangle:

[tex]\begin{aligned}\textsf{Area of a rectangle}&=\sf length \times width\\&=20 \times 16\\&=320\; \sf in^2\end{aligned}[/tex]

Calculate the area of the trapezoid:

[tex]\begin{aligned}\textsf{Area of a trapezoid}&=\dfrac{\text{base}\;a+\text{base}\;b}{2} \times \text{height}\\&=\dfrac{9+20}{2} \times (21-16)\\&=\dfrac{29}{2} \times 5\\&=72.5\; \sf in^2\\\end{aligned}[/tex]

Therefore, the area of the composite figure it the sum of the area of the rectangle and the area of the trapezoid:

[tex]\begin{aligned}\textsf{Total area of composite figure}&=\textsf{Area of rectangle}+\textsf{Area of trapezoid}\\&=320+72.5\\&=392.5 \; \sf in^2\end{aligned}[/tex]

Therefore, the area of the composite figure is 392.5 in².

Mr. Jones has a cylindrical water storage
tank. The tank has a diameter of 6 feet and
a height of 12 feet. Mr. Jones wants to
paint the tank but since the tank rests on a
concrete slab, he will not need to paint the
bottom of the tank. How much paint will
he need to paint the water storage tank?

Answers

Answer:

254.47sqft (square feet) of paint

Step-by-step explanation:

The surface area of the cylinder (282.74) minus the area of the one circle that doesn't need to be painted (28.27) is 254.47sqft which is the amount of paint he will need Mr. Jones.

I need help on this I don't get it please help me on this

Answers

Correct answer: 9x -14y = -6

Linear equation: y = ax + b

Let's replace (x,y) with (1/2, 3/4) and (4,3) and have the following equations:

1/2a + b = 3/4 (1)

4a + b = 3 (2)

=> (2) b = 3 - 4a

(1) 1/2a + 3 - 4a = 3/4

=> (1) 7/2a = 9/4

(2) b = 3- 4a

=> (1) a = 9/14

(2) b = 3/7

So we have the equation: y= 9/14x + 3/7

Multiple both sides with 14

=> 14y = 9x + 6

=> 9x -14y = -6

2. The back of Nico’s truck is 7.5 feet long, 4 feet wide, and 8 feet tall. He has several boxes of important papers that he needs to move. Each box of papers is shaped like a cube, measuring 2.5 feet on each side.
How many boxes of papers can Nico pack into the back of his truck? Show your work.
Answer:

Answers

Answer:

9 boxes

Step-by-step explanation:

As the truck is 7.5 ft long, we can fit 3 boxes of paper along the length since 7.5 ÷ 2.5 = 3

As the truck is 4 ft wide, we can only fit 1 box of paper along the width

since 4 ÷ 2.5 = 1.6

As the truck is 8 ft tall, we can fit 3 boxes of paper high

since 8 ÷ 2.5 = 3.2

Therefore, the number of boxes of paper is:

3 × 1 × 3 = 9

Answer:

9 boxes

Step-by-step explanation:

Look above me ;)

(h(1) = 9
h(2) = 3
h(n) = h(n - 2)•h(n - 1)
h(3) =

Answers

Answer: 27

Step-by-step explanation:

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Guys i keep trying to get in touch with brainly but it says "your request could not be submitted" Can someone please help me ? which action will reduce the risk of injury on an wtv what ratio is equivilant to 4 : 5 Jack and Jill Forensics Style Answer the following questions based on information in the Crime Scene S.P.O.T.1. Identify several key pieces of evidence within the story. How were they useful to investigators?2. What evidence in the story is class evidence and what evidence is individual? Explain.3. How can Locard's exchange principle help investigate in this case?4. Choose a fairy tale or nursery rhyme story as the basis for your own forensic story. Be sure to include details about evidence. In 5-7 sentences, choose 1 popular fairytale (give the title and state the evidence etc)I add the information!!! Which of the following is a rational number(s)?67a.b.-110Gold-3d. All of these-15 HELP ME PLEASE PRETTY PLEASEEEEEEEEEEE Enzo is writing a list of all the responsibilities the FDA has. What is MOST likely to be on this list? A. They offer discount health insurance to people who need it. B. They provide fresh fruits and vegetables and clean water to people. C. They investigate diseases to help stop them from spreading. D. They make sure medicines do what they claim to do. _____ is defined as exposing people to weak attacks upon their attitudes so that when stronger attacks come, they will have refutations available. juan rolls a fair number cube twice what is the probability that he will roll an odd number on the first roll and an even number in second Match the Spanish vocabulary words for professions in the first column with their English equivalents in the second column. el carnicero 2 lawyer el abogado 2. butcher el artista ? artist el escultor 2. sculptor Last question please help! The name Rue means pity or regret. How is Rues name symbolic of events in the The Hunger Games? A Rue is the youngest and most innocent tribute, making her death pitiful. B Katniss ends up regretting her decision to form an alliance with Rue. C Rue dies in arena, which makes her decision to volunteer for her sister regretful. A wall is 3600 sq ft.A gallon of paint covers 600 sq ft.Complete the conversion factor: 1 gallon / ? sq ft True or False: There is one simple rule for putting irregular verbs into the past tense. What effects did the Mayans non centralized government have on their history Why is the 5th amendment important Phrase or clause they contain about seventy five percent of its fresh water Supervisors counting cash receipts daily is an example of:. Harry is trying to solve the equation 0 = 2x2 x 6 using the quadratic formula. He has made an error in one of the steps below. Find the step where Harry went wrong. (1 point) Farah has been saving money for years. Pearl's money is 3 times as much as 35of Farah's money. They have $672 altogether. How much does Farah have now?