what is the area of the triangle formed from (0,1), (0,4), and (4,1)?

Answers

Answer 1

Answer:

6 square units

Step-by-step explanation:

base = 4 units

height = 3 units

 [tex]\sf \boxed{\bf Area \ of \ triangle = \dfrac{1}{2}*base*height}[/tex]

                                  [tex]\sf =\dfrac{1}{2}*4*3\\\\ = 2*3\\\\ = 6 \ square units[/tex]

What Is The Area Of The Triangle Formed From (0,1), (0,4), And (4,1)?
Answer 2
Given :

Height of triangle = 3 unitsBase of triangle = 4 units

To Find :

Area of triangle

Solution :

[tex]\Large❏ \: \large\begin{gathered} {\underline{\boxed{ \rm {\blue{Area \: of \: triangle \: = \: \frac{1}{2} \: \times \: Base \: × \: Height }}}}}\end{gathered}[/tex]

[tex]\rm \large \red{\: Area \: of \: triangle }\large\purple\implies \tt \large \: \frac{1}{2} \: \times \: Base \: × \: Height [/tex]

[tex]\rm \large \red{\: Area \: of \: triangle }\large\purple\implies \tt \large \: \frac{1}{2} \: \times \: 4 \: × \: 3 [/tex]

[tex]\rm \large \red{\: Area \: of \: triangle }\large\purple\implies \tt \large \: \frac{1}{ \cancel2} \: \times \: \cancel{4} \: ^{\green2} \: × \: 3 [/tex]

[tex]\rm \large \red{\: Area \: of \: triangle }\large\purple\implies \tt \large \: 2 \: \times \: 3[/tex]

[tex]\rm \large \red{\: Area \: of \: triangle }\large\purple\implies \tt \large \: 6[/tex]

Hence , the area of triangle is 6 units.

What Is The Area Of The Triangle Formed From (0,1), (0,4), And (4,1)?

Related Questions

A bakery makes and sells designer cakes. The function d (x) = 125€ represents
the income, in dollars, from selling a cakes. The function p (y) = y - 1620
represents the monthly profit, in dollars, if the bakery makes y dollars in income for
the month. What is the profit from selling 30 designer cakes in a single month?

Answers

The profit from selling 30 designer cakes in a single month is; $2130.

What is the profit for selling 30 cakes in a month?

It follows from the task content that the income function as given is; d(x) = 125 × a.

Hence, when 30 designer cakes are sold, thee income is; 125 × 30 = 3750$.

The profit which is a function of the income y is given as; p (y) = y - 1620.

On this note, if follows that the profit is; p (y) = 3750 - 1620 = $2130.

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The graphs below have the same shape. What is the equation of the red
graph?

Answers

Answer:

g(x) = x^2+4

Step-by-step explanation:

The graph of f(x) = x^2 is translated up 4 units to become g(x) = x^2+4

Indira makes a box-and-whisker plot of her data. she finds that the distance from the minimum value to the first quartile is greater than the distance between the third quartile and the maximum value. which is most likely true?

Answers

The statement that is most likely true is , The mean is less than the median because the data is skewed to the left.

Option  E is the correct answer.

What is a Box and Whisker Plot ?

The method of representing the variation in a data set is called a Box and Whisker Plot .

A data distribution in which the data is skewed to the left

the mean is less than the median.

A data distribution in which the data is skewed to the right

the mean of the data is greater than the median.

It is given in the question that

The distance from the minimum value to the first quartile is greater than the distance between the third quartile and the maximum value.

this means data is skewed to the left,

Therefore, the statement that is most likely true is , The mean is less than the median because the data is skewed to the left.

Option  E is the correct answer.

The complete question is

Indira makes a box-and-whisker plot of her data. She finds that the distance from the minimum value to the first

quartile is greater than the distance between the third quartile and the maximum value. Which is most likely true?

The mean is greater than the median because the data is skewed to the right.

The mean is greater than the median because the data is skewed to the left.

The mean is less than the median because the data is skewed to the right

The mean is less than the median because the data is skewed to the left.

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What is the inverse of f(x)=5x/3+5

Answers

Answer:

f^-1(x)=8x/5

Step-by-step explanation:

The inverse of f(x)=5x/3+5 is 8x/5

The inverse function of f(x)=5x/3+5 is f-1(x) = 3x/5 - 15

How to determine the inverse?

We have:

f(x)=5x/3+5

Rewrite as:

y=5x/3+5

Swap x and y

x = 5y/3 + 5

Subtract 5 from both sides

5y/3 = x - 5

Multiply through by 3

5y = 3x - 15

Divide through by 5

y = 3x/5 - 15

Rewrite as:

f-1(x) = 3x/5 - 15

Hence, the inverse function of f(x)=5x/3+5 is f-1(x) = 3x/5 - 15

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Which is true about the solution to the systems of inequalities shown?

Answers

Answer:

There are no solutions

Step-by-step explanation:

If y is greater or equal to 3x+1 it can not be less than 3x-3 since 3x-3 is 4 less than 3x+1. Therefore, there can not be any solutions for the system of inequalities.

Evaluate − 5 x 2 + 4 y 3 when x = − 2 and y = 2

Answers

Answer:

hope this is helpful.

putting values of X and y in the equation

Answer is 12

Answer:

answer is 39

Step-by-step explanation:

So, we start with the original problem:

3

x

2

4

y

2

Then we substitute the given

x

and

y

values into the expression:

3

(

5

)

2

4

(

3

)

2

Now, according to the order of operations, we simplify the exponential powers first, thus, reducing the expression to this:

3

(

25

)

4

(

9

)

Then, we use the order of operations again and do the multiplication next:

75

36

We then use the order of operations a final time and finish off the expression with subtraction:

39

how many triangles are in a 18 sided polygon

Answers

Answer:

18

Step-by-step explanation:

how many triangles are in a 18 sided polygon

An 18 sided polygon, sometimes also called an octakaidecagon, it has 18 sides and therefore is made up of 18 triangles and has 18 vertices.

(look at the picture)

I really could use help with this

Answers

Answer:

B. [tex]\mathsf {\frac{1}{13}(26x-169)=\frac{1}{12}(-156+24x) }[/tex]

Step-by-step explanation:

[tex]\mathsf {\frac{1}{13}(26x-169)=\frac{1}{12}(-156+24x) }[/tex]

2x - 13 = -13 + 2x

2x - 13 = 2x - 13

As both sides are equal, any value can be substituted for x, and hence it has infinitely many solutions.

Answer:

B. 1/13(26x - 169) = 1/12(-156 + 24x)

Step-by-step explanation:

When looking for an equation with infinetly many solutions, we are looking for an equation that is true when simplified

such as: 3c = 3c

or x - 10 = - 10 + x

this is because any value that we put in for x will simplify to a true equation (will be a solution)

so, let's examine the options:

A. if we combine like-terms on both sides, we will end up with                                23 + 32x = 32x + 26

which is false, for any value that we put in for x

B. this statement is true--regardless of the value for x.

1/13 · 26 is the same as 1/12 · 24 (both equal 2; so both sides would distribute to 2x)

1/13th of -169 is -13; and 1/12th of -156 is -13

so, for all values of x, option B is true

(all values of x are a solution; and "x" could be any value)

C. by distributing the 2 (6 - 4x = -5x + 7), we find an equation that is not true for all values of x [we don't even have to find the solution, we just know that there will only be a/a few solution ]

D) because the variable, x, is only on one side (and when distributed, is not cancelled by any other x), we know that it cannot be true for infinetly many solutions

(the only true solution will be when the equation is simplified to 4/18 = 4/18)

hope this helps!!

Jamie is interested in taking dance lessons, but she would have to pay $35 for balet shoes and also pay $20 per hour. write an ssion that represents jamies total cost in terms of h

Answers

Your answer would be 20h+35 where h is hours

Which rule represents the translation from the pre-image, ΔABC, to the image, ΔA'B'C'?

Answers

The rule represents the translation from the pre-image, ΔABC, to the image, ΔA'B'C' is (x, y) → (x + 7, y - 6).

What is translation?

When a line is translated, it means the line is moved from one position to another. The coordinate for triangle ABC are A(-3 ,4) , B(-4,1) and C(-2,1).

The coordinate of triangle A'B'C' is A'(4,-2), B'(3,-5), and C'(5,-5).

From above, it can be seen that the image A'B'C' is obtained from the pre-image ABC by translating the vertices of the image by 7 units to the right and 6 units down.

Therefore, the rule represents the translation from the pre-image, ΔABC, to the image, ΔA'B'C' is (x, y) → (x + 7, y - 6)

Hence, the rule represents the translation from the pre-image, ΔABC, to the image, ΔA'B'C' is (x, y) → (x + 7, y - 6).

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(5x-1) -(2-8x) for x = 0.75

Answers

6.75 is the answer to your question

Common types of data patterns that can be identified when examining a time series plot include all of the following except ______.

Answers

Answer:

Vertical is the answer

Solve |2x + 2| = 10

Answers

Answer:

x = - 6 , x = 4

Step-by-step explanation:

the absolute value function always gives a positive value but the expression inside can be positive or negative , that is

2x + 2 = 10 or - (2x + 2) = 10

solving both

2x + 2 = 10 ( subtract 2 from both sides )

2x = 8 ( divide both sides by 2 )

x = 4

or

- (2x + 2) = 10

- 2x - 2 = 10 ( add 2 to both sides )

- 2x = 12 ( divide both sides by - 2 )

x = - 6

state the domain and range for the function (f)x = 2csc (x/2))

Answers

Step-by-step explanation:

domain XER\{2kπ},kE

The following two way table shows the number of students of a school who have a cell phone and or have a part-time job.

Answers

Answer:

the answer is b.40 that the kids that are working and have phone b

i need help asappppppppppppp

Answers

Answer: Choice [D] - "power of a power" ✅

Step-by-step explanation:

Hii, do you need to know which law you should use to simplify [tex]\sf\bigg(x^4\bigg)^9[/tex]?

No problem!

The law we will use here is "power of a power".

What "power of powers" means is we raise a power to a power, which is exactly what we do here: We raise x^4 to the power of 9. To simplify our expression, we multiply the powers. ([tex]\boldsymbol{4\cdot9}[/tex])

So the right answer is: Choice [D] - "Power of a power"

The simplified answer is [tex]\LARGE\boldsymbol{x^{4\cdot9}=x^{36}}[/tex]

Voila! There's our answer, cheers!

--

Hope that this helped! Best wishes.

[tex]\it Reach\;far.\;Aim\;high.\;Dream\;big.}[/tex]

--

Which ordered pair word form a proportional relationship with the point graph below
a. (10,10)
b. (25,35)
c. (70,50)
d. (90,60)

Answers

Answer:

D. (90, 60)

Step-by-step explanation:

A proportional relationship is a relationship in which the ratios of two variables are equivalent.

If we take two points on the graph such as (45, 30) and (30, 20), we can see that they can both be simplified to the ratio 3:2. Using this we can find the correct answer. From looking at all the points we can see that only (90,60) would also form a ratio of 3:2, thus d would be the correct answer.

At the beginning of the school year, Jamie had $500 in her savings account. She wants to have at least $200 left in the account at the end of the school year. Each week, she withdraws $30 for spending money. To determine how many weeks she can spend $30, Jamie wrote and solved this inequality.

Answers

The mistake she had done is she should have reversed the inequality as per the division property of inequality.

What is inequality?

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

The inequality is:

500 − 30x  ≥  200 −500 −500 −30x  ≥  −300 x  ≥  10

Given:

Jamie had $500 in her savings account.

She wants to have at least $200 left in the account at the end of the school year.

The inequality she had done is

500 − 30x  ≥  200 −500 −500 −30x  ≥  −300 x  ≥  10

But when she was dividing she should have reversed the inequality as per the division property of inequality.

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I need help with this please. Brainliest to person who answers first. Its worth 12 points.

Question is in attachment.

Answers

Answer:

54x + 36

Step-by-step explanation:

Simplify:

First open the brackets by multiplying  each term by 7.

 5x - 6 + 7(7x + 6) = 5x - 6 + 7*7x + 7*6

                              = 5x - 6 + 49x + 42

                              = 5x + 49x - 6 + 42

Combine like terms. Like terms have same variable with same power. Here 5x and 49x are like terms & (-6) and 42 are like terms (Constants)

                              =  54x + 36

Answer:

54x +36

Step-by-step explanation:

5x - 6 + 7(7x+6)       multiply                

5x -6 +49x+42         add like terms

54x + 36                   that's the answer

Triangle EFG is isosceles.Find the measure of angles

Answers

As angles opposite congruent sides in a triangle are congruent, and also since the interior angles of a triangle add to 180 degrees, if we let angle EFG have a measure of x, then angle GEF also measures x, and thus:

82+x+x=180

2x=98

x=49

Thus, angle EFG is 49 degrees.

So, by the exterior angle theorem, angle DEG measures 82+49=131 degrees

Select the correct answer from each drop-down menu. polygon abcde has the vertices a(2, 8), b(4, 12), c(10, 12), d(8, 8), and e(6, 6). polygon mnopq has the vertices m(-2, 8), n(-4, 12), o(-10, 12), p(-8, 8), and q(-6, 6). a transformation or sequence of transformations that can be performed on polygon abcde to show that it is congruent to polygon mnopq is a . if polygon mnopq is translated 3 units right and 5 units down, it will coincide with a congruent polygon, vwxyz, with its vertices at

Answers

1). Option C

2). Option A

What is Polygon?

Polygon is given as a closed two-dimensional figure with three or more straight lines.

The given vertices of polygon ABCDE are A(2, 8), B(4, 12), C(10, 12), D(8, 8) and E(6, 6)

After reflection new polygon formed MNOPQ has the vertices M(-2, 8), N(-4, 12), O(-10, 12), P(-8, 8) and Q(-6, 6).

By comparing the vertices we find the x-coordinates of polygon ABCDE have been changed to MNOPQ by negative notation only. Y- coordinates are same.

Therefore, polygon ABCDE has been reflected across the y-axis.

Option C. is the answer.

If polygon MNOPQ is translated 3 units right and 5 units down then the new vertices of congruent polygon VWXYZ will be

M(-2, 8) = [(-2 - 3), (8 + 5)] = (-5, 13)

N(-4, 12) = [(-4 - 3), (12 + 5)] = (-7, 17)

O(-10, 12) = [(-10 - 3),(12 + 5)] = (-13, 17)

P(-8, 8) = [(-8 - 3), (8 + 5)] = (-11, 13)

Q(-6, 6) = [(-6 -3),(6 + 5)] = (-9, 11)

Thus, Option A. is the correct option.

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Answer:

Step-by-step explanation:

the

In a basket, there are 52 apples or pears. The number of apples is 8 more than the number of

pears. How many numbers of apples and pears in the box?

Answers

Answer:

44 pears and 52 apples

Step-by-step explanation:

pears are 8 more than apple so 52-8 = 44

Number of apples and pears in a box is equals to [tex]30[/tex] and [tex]22[/tex] respectively.

What is number?

" Number is defined as the count of any given quantity as per given condition."

According to the question,

Given,

Total number of apples [tex]= 52[/tex]

[tex]'x'[/tex] represents the number of pears

[tex]'x+ 8'[/tex] represents the number of apples

As per the given condition required equation we get,

[tex]x + x + 8 = 52\\\\\implies 2x = 52-8\\\\\implies x = \frac{44}{2} \\\\\implies x = 22[/tex]

number of pears [tex]= 22[/tex]

number of apples [tex]= 22+8[/tex]

                              [tex]=30[/tex]

Hence, number of apples and pears in a box is equals to [tex]30[/tex] and [tex]22[/tex] respectively.

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In the year 2008, a person bought a new car for $23500. For each consecutive year after that, the value of the car depreciated by 10%. How much would the car be worth in the year 2011, to the nearest hundred dollars?

Answers

Answer:

$17131.50

Step-by-step explanation:

23500 decrease 10% =

23500 × (1 - 10%) = 23500 × (1 - 0.1) = 21150

21150 decrease 10% =

21150 × (1 - 10%) = 21150 × (1 - 0.1) = 19035

19035 decrease 10% =

19035 × (1 - 10%) = 19035 × (1 - 0.1) = 17131.5

21. What is the perimeter of the triangle?
18.2 units
18.3 units
9 units
15.5 units
(1,6)
(3, 1)
(6, 1)

Answers

I believe it 18.2 I might be wrong tho

Answer:

C) 15.5 units

Step-by-step explanation:

Find x and y. please help ty!! :)​

Answers

answer:

x=74 y=27

steps:

triangle in the middle is

180-126 = 54

180-85 = 95

180-149 = 31

126=2x+1+31

126=2x+32

2x=94

x=74

126+2y=180

2y=54

y=27


Two number cubes are rolled for two separate events:
Event A is the event that the sum of numbers on both cubes is less than 10.
Event B is the event that the sum of numbers on both cubes is a multiple of 3.
Find the conditional probability of B given that A occurs first.

Answers

Answer:

You are right...........

Mark ran a mean distance of 13.2 km in five days. The next day, Mark ran 20 km.
Find the mean distance Mark ran in the six days.

Answers

Answer:

16.6

Step-by-step explanation:

Add the numbers together.

13.2+20=33.2

Now divide the number by 2.

33.2/2=16.6

Hope this helps!

If not, I am sorry.

Menna is traveling in a country that measures its temperature in degrees Celsius. If the high temperature for tomorrow will be 25

C, what is the equivalent temperature in

F?

a. 102.6∘
F

b. 57∘
F

c. 77∘
F

d. 45.9∘
F

Answers

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: Temp = 77° F[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad \tt \rightarrow \: f = \bigg (c \sdot \cfrac{9}{5} \bigg) + 32[/tex]

[ convert 25° C to °F ]

[tex]\qquad \tt \rightarrow \: \bigg (25 \sdot \cfrac{9}{5} \bigg) + 32[/tex]

[tex]\qquad \tt \rightarrow \: (5 \sdot9) + 32[/tex]

[tex]\qquad \tt \rightarrow \: 45 + 32[/tex]

[tex]\qquad \tt \rightarrow \: 77 \degree \: \: f[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:

77

Step-by-step explanation:

took the quiz

Simply the function f(x)=7(3Square root 54^x)

Answers

Answer:

54 = 2 × 3 × 3 × 3 = 2 × 3³

[tex] f(x) = 7(\sqrt[3]{54})^x [/tex]

[tex] f(x) = 7(\sqrt[3]{3^3 \times 2})^x [/tex]

[tex] f(x) = 7(3\sqrt[3]{2})^x [/tex]

Initial value: x = 0

[tex] f(0) = 7(3\sqrt[3]{2})^0 [/tex]

[tex] f(0) = 7(1) [/tex]

[tex] f(0) = 7 [/tex]

The initial value is 7.

The domain is all real numbers.

The range is all real numbers greater than zero.

Identify angles with terminology
I need help I’ve been stuck for hours

Answers

It will end up being an acute angle for sure because it’s less than 90 degrees
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