What is the area, in square units, of ΔDEF with D(5,−1) E(1,−4), and F(−5,4)?

A. 25 square units
B. 37.5 square units
C. 50 square units
D. 75 square units

Answers

Answer 1

Answer:

25

Step-by-step explanation:

The line DF is

y+1 = -1/2 (x-5)

or

x+2y-3=0

The distance from E to that line is |1-8-3|/√(1^2+2^2) = 10/√5

The length of DF is √(10^2+5^2) = 5√5

So the area of DEF is 1/2 * 5√5 * 10/√5 = 25

Answer 2

Answer:

d got it correct on quiz


Related Questions

In which situation could the quotient of -36 ÷ 3​ be used to answer the question?

A The balloon rose 36​ feet every second. How many feet did the balloon rise in 3​ seconds?

B Lidia took $36tomatoes off of her tomato plants over $3days. How much did the amount of tomatoes on her tomato plants change each day?

C In a soccer game there are 3 goals in 36 minutes. What is the rate of goals scored?

D There are 36 apples in a bag. 3 apples are eaten. How many apples are left?

Answers

Answer:

B, because of the signal word "took"! :)

7²+4(2²+3)/2

please help

Answers

Answer:

i think it's 63

Step-by-step explanation:

ask g89gle ig

What is the value of the 6 in the number 346 094?​

Answers

Answer:

The place value of 6 in the number 346 094 is Thousand.

Step-by-step explanation:

I hope it helps ❤❤

The value of 6 in this number is 6000.

What is place value of a number?

The place value is the position of each digit in a number. The place value of digits is determined as ones, tens, hundreds, thousands, ten-thousands and so on, based on their position in the number.

Given number is 346094

In the number 346094, 6 is at thousand place.

Place value of 6 is 1000

Value of 6 = 6 × 1000 = 6000

The value of 6 in this number is 6000.

Find out more information about place value here

https://brainly.com/question/21467438

#SPJ3

Total Selling price: $795. state sales tax rate: 7%. city tax rare 1% What is the total sales tax?

Answers

Answer:

Step-by-step explanation:

city tax rare, 1%=7.95

7% tax=7.95*7=55.65

total sales tax=55.65+7.95=63.60

If x varies directly with y and x = -3 when y = 12, what is the constant of variation?

Answers

Answer:

k = - [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Given that x varies directly with y then the equation relating them is

x = ky ← k is the constant of variation

To find k use the condition x = - 3 when y = 12

- 3 = 12k ( divide both sides by 12 )

[tex]\frac{-3}{12}[/tex] = k , that is

k = - [tex]\frac{1}{4}[/tex]

What is the probability of flipping a coin 10 times and getting heads 5 times?
Round your answer to the nearest tenth of a percent

Answers

Answer:

0.62

Step-by-step explanation:

0.62 is the probability of getting 5 Heads in 10 tosses.

Answer:

24.6%

Step-by-step explanation:

-(1/x+3) +4
Horizontal Shift direction:
Horizontal shift number:
Vertical Shift direction:
Vertical Shift number:
Shape:

Answers

9514 1404 393

Answer:

left 3 unitsup 4 unitsshape: lower left image

Step-by-step explanation:

For a parent function f(x), the transformations ...

  g(x) = a×f(x -h) +k

cause ...

vertical expansion by 'a', reflection over x-axis if negativeright shift by 'h'up shift by 'k'

Here, we have parent function f(x) = 1/x with a=-1, h=-3, k=4. Then the transformations are ...

  horizontal shift left 3 units

  vertical shift up 4 units

  reflection over x-axis, so curves are above-left and below-right of the reference point (Note that the reflection is done before the translation.)

Mr. Allen needs to store his boat for winter. He needs to fill the gas tank and put fuel preserver in the tank. The fuel tank holds 70 gallons and fuel preserver mixes at a ratio of 1 oz. preserver to 2.5 gallons of gas. How much preserver will Mr. Allen need to use?

28 oz.
32 oz.
24 oz.
36 oz.

Answers

Answer:

Mr. Allen will need 28 oz. of preserver

Step-by-step explanation:

Proportions

A direct proportion is a relation between variables where their ratio is a constant value. This means that if p and g are proportional, then:

p = kg

Where k is the constant of proportionality.

Where p is the quantity of preserver Mr. Allen needs to store his boat for winter, and g is the gallons of gas of the tank.

We are already given the ratio of fuel preserver and gallons of gas as 1 oz:2.5 gallons.

The value of k is, then k=1/2.5. The proportion is written as:

p = g/2.5

Since the boat holds g=70 gallons of gas:

p = 70/2.5 = 28

Mr. Allen will need 28 oz. of preserver

Find the LCD of the given rational equation:
х
X+4
X-1
+
x + 2
3
x2+2x-8

Answers

Answer:(x+4)(x+2)(x-2)

Step-by-step explanation:

MARK BRAINLIEST!!!

A teacher has two daughters that are now older. But when they were little, they had a lot of toys! They had about 100 more frozen toys than mermaid toys (which we'll call r for "regular")Which expression shows how many Frozen toys they had?

r+100

100

r-100

100r

Answers

Answer:

r-100

Step-by-step explanation:

R-100 R-100 R-100

Help first one to answer correctly get brainliestthank uuuu

Answers

Answer:

when in doubt pick c

Step-by-step explanation:

To the nearest hundredth, what is the area of a circle with a radius of 4 units?
A. 42.85 square units
B. 25.13 square units
C. 12.57 square units
D. 50.27 square units

Answers

Answer is D

Formula: A=(pi)r^2

So A=3.14(16)
A=50.27

Option D 50.27 square units.

How to find the area of a circle?

The area of a circle is related to its radius and a mathematical constant π whose approximated value is 3.142, and the area of the circle is πr².

How to Round off to the nearest hundredth?

Add 1 to the hundredth if the digit following the hundredth is more than or equal to 5. Remove the digit if not.

The solution to the given problem

The area of the circle is 3.142*4*4 = 50.272

Rounding off to the hundredth as after the hundredth place there is a 2 we will round off the answer to 50.27

The area of the circle with a radius of 4 units is 50.27.

Learn more about the area of the circle here

https://brainly.com/question/26106355

#SPJ2

help plz I really need to finish​

Answers

Answer:

[tex]26x^6y^4[/tex]

Step-by-step explanation:

the volume is like

[tex]V = length\cdot width\cdot depth[/tex]

so we have

[tex]V= 4yx^5\cdot 3xy\cdot 2y^2\\\\V=(4\cdot 3\cdot 2)(y\cdot y \cdot y^2)(x^5 \cdot x)\\\\V = 24(y^4)(x^6)\\\\V=24x^6y^4[/tex]

Three friends all live on the same street that runs west to east. Ben lives 8 blocks from ann. Carol lives 2 blocks from ben. If the street is represented by a number line and ann's house is located at 0, what are the possible locations for carol's house?

Answers

Answer:

i. 10 units (Carol's house is 10 units on the right from Ann's house)

ii. -10 units (Carol's house is 10 units on the left to Ann's house)

Step-by-step explanation:

A number line is a system that can be used to express the location of directed number on a straight line. It has an origin which is taken to be zero (0).

In the given question, Ann's house is located at 0 of the number line. Let 1 block be represented by 1 unit on the number line.

Thus, Ben lives 8 blocks from Ann implies that Ben's house is at 8 units from Ann's house.

Given that Carol's house is 2 blocks from Ben implies that Carol's house is 2 units from Ben.

So that,

The possible locations of Carol's house depends on its position with respect to Ann's house.

i. Carol's house = 8 + 2

                          = 10 units

This implies that Carol's house is 10 units on the right from Ann's house.

ii. Carol's house = - 8 - 2

                           = -10 units

This implies that Carol's house is 10 units on the left to Ann's house.

hi someone help meee​

Answers

What is the question?

At a local fair, Molly sells bracelets. It costs her
$10 per bracelet for supplies and the local marke
charges her a one-time booth fee of $60. She
charges $20 for each bracelet.
a) Write a system of equations to represent this
situation (one equation for expenses and one
equation for income):

Answers

Answer:

10x + 60 ; 20x

Step-by-step explanation:

Given that:

Purchase price per bracelet = $10

Cost of booth = $60

Selling price per bracelet = $20

Hence,

Let number of bracelets = x

Expense equation :

(Price per bracelet * number of bracelet) + booth fee

(10 * x) + 60

10x + 60

Income equation :

Selling price * number of bracelets

20x

Create a word problem that could be solved using the expression (−12) + (32) + (−16). Also, show the solution.

Answers

Answer:

Joe is at Walmart shopping for Pokemon cards. His mother gave him $32 dollars to buy any toys he wants. He plans to spend $16 to buy booster packs and $12 for barbies for his sister. How much money does he have left?

Step-by-step explanation:

Solution: 32-12-16=4

Joe has $4 left.

A man gave half of his welfare allowance to his wife,1/5 to each of his two sons the rest to his daughter. Find the fraction given to the daughter.​

Answers

Answer:

1/10.

Step-by-step explanation:

Total allowance=1

Half to wife so 1-1/2=1/2(Left from total)

1/5 to each son so 2/5 to both(Total for sons).

Left for daughter 1/2-2/5=1/10(Ans)

define values and explain
their importance​

Answers

Answer:

Values

Step-by-step explanation:

Values provide standards of competence and morality. These are ideas that we hold to be important. They govern the way we behave, communicate and interact with others. They transcend specific objects, Situations or persons.

Peter has a 25 acre field. He 20.5 acres with sweet corn. What fraction of his field does Peter
plant with sweet comm

Answers

Answer:

62 percent of the feild

Step-by-step explanation: to lazy to explain figure it out its simple

Determine the slope of
the line that contains the
points (3.5) and [1. 6).

Answers

Answer:

Assuming 1,6 is y2 and x2, the answer is 1,-2 = -0.5

Step-by-step explanation:

1. Grab 1,6 as it is the second point and invert it into 6,1

2. Invert the first point into 5,3.

3. Subtract (6 - 5) / (1 - 3). The result is 1/-2.

4. Divide 1 by -2.

Answer should be -0.5

2x-7=13 what is does x stand for?

Answers

Answer:

x=10

Step-by-step explanation:

2x-7=13

13+7=20

20/2=10

lets see if it works:

2(10)-7-13

20-7=13

it works! which means is 10

please mark me as brainliest!!<3

4.
$10,000 is invested in an account paying 7.5% annual interest.
What is the balance in this account at the end of five years?
F.
$13,472.40
H.
$10,380.67
G.
$164,130.86
J.
$14,356.29

Answers

Answer:

100 + 7.5 = 107.5

107.5/100 = 1.075

100000 X 1.075^5 = 14356.29326171875

round to 2 dp =

$14356.29

answer J

i have 30 minutes to complete this and im stuck so pls help out
If p || q and /_5 = 130 degrees, find /_7. (The /_ are supposed to be angles.)

Answers

Answer:

130

Step-by-step explanation:

its basically the same thing

the answer is 130 because it's basically the same thing on each side hope that helped

Kiran says A square with side lengths of 1/3 inch has an area of 1/3 square inches. do you agree? Explain or show your reasoning​

Answers

Answer:

i do not agree

Step-by-step explanation:

to get an area of a square you have to times the length by the width so 1/3 inch is not the area is is the length.

During a sale, all video games are $10 off. Nicole used a coupon to get an additional $20 off her purchase. If the original price of a video game was $75, how much did Nicole pay?

Answers

Answer:

45 dollars

Step-by-step explanation:

20 plus 10 is 30. That means she gets a total of 30 dollars off. Subtract 30 from the original price of 75, and you get 45 dollars.

Volume for math practice for homework

Answers

Answer

Volume for math practice?

Step-by-step explanation:

Triangle L M N is shown. Angle M L N is a right angle. The length of M L is 5.74, the length of L N is 4, and the length of hypotenuse M N is 7. Law of cosines: a2 = b2 + c2 – 2bccos(A) What is the measure of AngleN to the nearest whole degree? 35° 45° 55° 65°

Answers

Answer:

55⁰

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. There are different types of triangles such as isosceles triangle, equilateral triangle, scalene triangle, right angled triangle.

The law of cosines states that for a triangle with sides a, b and c and the corresponding angles opposite to the sides which are A, B and C. Then:

a² = b² + c² – 2bccos(A)

Let ML = a = 5.74, LN = b = 4, MN = c = 7.

∠N is opposite to side ML. Let ∠N  be A, hence:

a² = b² + c² – 2bccos(A)

2bc* cos(A) = b² + c² – a²

Substituting:

2(4)(7) * cos(A)= 4² + 7² - 5.74²

56cos(A) = 32.0524

cos(A) = 0.5723

A = cos⁻¹(0.5723)

A = 55⁰

A = ∠N = 55⁰

Answer:

C. 55°

Step-by-step explanation:

Right on 2021 Edg

I need help plz!!!!!!!!

Answers

Answer: 75

Step-by-step explanation:

I'm quite sure about the answer

What is the congruence theorem used to prove that the two triangles are congruent?

Answers

Answer:

AAS, the two equal angles, the two right triangles, and the shared side

Step-by-step explanation:

Other Questions
What is the maximum number of possible extreme values for the function, F(x)=x^4+x^3-7x^2-x+6?A. 2B. 4C. 5D.3 URGENT 30:48 in the form 1:n where n is a decimal Jayden's car gets 23 miles to a gallon of gasoline. He filled up his car's gas tank with g gallons. Write an expression that shows how far Kurt can drive on a tank of gasoline. Arkansas permit test? )Article21oftheConstitutionGuarantees-(a)RighttoSpeech(b)Righttolife(c)Righttofreedom(d)Noneoftheabo Can Somebody please help me? Which statement best completes the diagram related to the RussianRevolution of 1917?A. The Duma parliament collapses due to declining public supportB. The Russian provisional government institutes reforms to help thepoorC. The Bolsheviks execute most of Russia's key political figuresD. The Russian military refuses to put down antigovernment protests. Help nowwwwwww plssss!!! Temperature is a measure of the average _________________ of each particle within an object.A) kinetic energyB) potential energyC) heat Bi-weekly mortgage is $576. Monthly phone charges are $44.95. The electric bill last month was $105.88. Groceries cost about $98/week. What is a good estimate of your monthly expenses?$1,401.00$1,127.00$1,703.00$827.00 Sonnet 18 - In line 5, what is "the eye of heaven?"*O a. The North StarO b. God0c. The SunO d. A fire WILL MARK BRAINLIEST!!! PLEASE HELPWhat is the purpose of the Nurses narration as the play ends? A. To explain the plot of the drama B. To show the result of the tragedyC. To advise the audience on their own behaviorD. To scold the families for their actions(THIS IS ONLY THE ENDING OF THE PLAY) NURSE. Since Juliet was only faking, when she sat up and saw Romeo was reallydead, she was so sad that she killed herself, too.JULIET. Really?NURSE. Really!JULIET. (Pretends to die. I'm dead, too!NURSE. And when their two families saw what had happened to the two younglovers, they made an agreement to never fight again.MONTAGUE #2. See! I told you we never fight. Right, old buddy?CAPULET #2. Right.The Montagues and Capulets walk off as friends.NURSE. The End What is a sequence of graphic illustrations which represent the planned scenes for a video or animation?A. AnimationB. ProductionC. Multimedia projectsD. Storyboard URGENT Please help ASAP if you see this Which topic is commonly used to explain activation energy and how chemical reactions happen? I have to do a biography about Roald Dahl and I don't know how to start. An earth dam is in danger of failing. A pump is needed to quickly drain the small lake behind the dam. The total energy head required to move water over the top of the dam is 2.43 m. The only pump available is an old 10-cm diameter propeller pump. The power requirement for the motor is 1,000 w and the pump-motor combination has a low efficiency of 50%. Estimate the drawdown (how many centimeters the lake goes down) in the first 2-hour period if the lake has a surface area of 5,000 m2. (Note: Assume that the energy head the pump must overcome does not change much as the lake is lowered in the first 2 hours.) how do i choose a most brainlyist Which landform, mountains or plains, dominates the islands of Japan? where do babies come from