What is the area of a triangle with vertices at (-3,3), (2, 3), and (4,7)?
5 square units
10 square units
20 square units
40 square units

Answers

Answer 1

Answer:

Choice B

Step-by-step explanation:

Answer 2

The area of the triangle is 10 square units, the correct option is B.

What is a Triangle?

A triangle is a polygon with three sides, angles, and vertices.

The triangle is classified into various types on the basis of the angle and on the basis of equality of the length of the sides.

The vertices of the triangle are at:

(-3,3), (2, 3), and (4,7).

The area of the triangle has to be determined.

The length of the sides will be calculated using the distance formula.

side 1 = [tex]\rm \sqrt { (3-3)^2 + ( 2 +3)^2}[/tex] = 5 units

side 2 = 2√5 units

side 3 = √65 units

The height of the triangle is determined by calculating the distance from (4, 7) to (4, 3).

The height of the triangle = 4 units

The area of a triangle is given by,

A = (1/2) * base * height

A = (1/2) * 5 * 4

A = 10 square units

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Related Questions

One bag of broccoli has 300 calories and you ate 3/4 of the bag; how many calories
did you consume?

Answers

Answer:

225 calories

Step-by-step explanation:

300 divided by 4= 75

75x3=225

You consume 225 calories.

Using the formula A = lw , evaluate if l = 3 and w = 9.

A = 27
A = 3
A = 6
A = 12

Answers

Answer:

A = 27

Step-by-step explanation:

plug in the numbers so A = (3)(9). you multiply 3 and 9 to get 27

b) The area of a rectangular window is 7980 cm 2 If the width of the window is 84 cm, what is its length?​

Answers

Answer:

The answer is 74 cm

Step-by-step explanation:

The area of a rectangle = length × width

Since we are finding the width

We have

From the question

area = 6216 cm²

length = 84 cm

The width is

We have the final answer as

74 cm

Step-by-step explanation:

Here is the answer hopes it helped
Answer is 74cm

Help! Best answer = Braniest

Answers

Answer:

x=20

Step-by-step explanation:

Since supplementary angles =180 degrees, we need to write the equation as follows:

5x-30+x+90=180

Then you need to add like terms:

6x+60=180

Then you need to subtract 60 from both sides (60 and 180)

6x=120

Then divide both sides by 6 to get

x=20

I hope this helps!!

What is the coefficient of the term with a degree of two in the product of (2m-9) and (m^2+3m-4)

Answers

Answer:

-3

Step-by-step explanation:

First, identify the different possible ways to multiply 2 monomials and get an m^2 term: we can multiply a constant by an m^2 term, or we can multiply an m term by an m term.

Now, we can identify all the combinations of the products that will give a m^2 term:

m^2*-9=-9m^2

3m*2m=6m^2

Now, we just combine the 2 m^2 terms:

-9m^2+6m^2=-3m^2

Therefore, the coefficient of the term with a degree of 2 is -3.

Two professors teach two sections A and B of the same class. Thecourse scores in section A follow a Gaussian random variable of mean 76 and variance64. The course scores in section B follow a Gaussian random variable of mean 67 andvariance 36. What is the probability that the scores of two students, one in sectionA and one in section B, differ by no more than 1 point in absolute value

Answers

Answer:

Step-by-step explanation:

Let A denote the score for students of section A.

Let B denote the score for students of section B.

It is provided that:

[tex]A\sim N(76,64)\\B\sim N(67,36)[/tex]

The scores of the students of the two section are independent.

Compute the mean and variance of A - B as follows:

[tex]E(A-B)=E(A)-E(B)=76-67=9\\\\V(A-B)=V(A)+V(B)-2Cov(A,B)=64+36-0=100[/tex]

Compute the probability that the scores of two students, one in section A and one in section B, differ by no more than 1 point in absolute value as follows:

[tex]P(|A-B|\leq 1)=P(-1\leq X-Y\leq 1)[/tex]

                        [tex]=P(\frac{-1}{10}\leq \frac{(X-Y)-E(X-Y)}{\sqrt{V(X-Y)}}\leq \frac{1}{10})\\\\=P(-0.10<Z<0.10)\\\\=P(Z<0.10)-P(Z<-0.10)\\\\=0.53983-0.46017\\\\=0.07966\\\\\approx 0.08[/tex]

Thus, the probability that the scores of two students, one in section A and one in section B, differ by no more than 1 point in absolute value is 0.08.

NEED HELP FAST HURRY FAST 30 POINT PLZZZZZZZ
The map shows the locations of skirmishes and battles during the Atlanta Campaign of the Civil War.

John has measured some distances on the map. Atlanta and Kingston are 2.5 cm apart, and Kingston and Ringgold are 3.5 cm apart. If the actual distance from Atlanta to Kingston is 60 miles, what is the actual distance from Kingston to Ringgold?
A) 78 miles
B) 84 miles
C) 92 miles
D) 106 miles

Answers

Answer:

The actual distance is 78 miles.

Step-by-step explanation:

-7(11x - 11) = -11(9x + 1)

Answers

Pls see the attachment

PLEASE HELP DUE NOW (10 PTS)


how to multiply inverse matrices

Answers

Answer:

Step-by-step explanation:

take 4a okay

so you take the first box and multiply it with the one that is in its spot in the other box.

so -6/7 times 0

-1/7 times -1

-1 times -7

0 times 6

so next you would write the answers to those problems in the spots you multiplied

soooo....

-6/7 times 0

that answer goes in the top left

-1/7 times -1

goes in the top right and so on

What are the 'x' and 'y' intercepts of the equation 2y + 17 = 6x - 19?

Answers

Answer:

x=6,0

y=0,-18

Step-by-step explanation:

Answer:

x-intercept: (6,0)

y-intercept: (0,-18)

Step-by-step explanation:

To find the x-intercept, set y=0 and solve for x.

2y=+17=6x-19

0+17=6x-19

6x=36

x=6

(6,0)

To find the y-intercept, set x=0 and solve for y.

2+17=6x-19

2y+17=0-19

2y=-36

y=-18

(0,-18)

Give the equation y = -4x, what is y when x=7

Answers

Answer:

-28

Step-by-step explanation:

y = -4x. Substitute x for 7, so y = -4 times 7.

Answer:

y=-28

Step-by-step explanation:

y=-4*7(x=7) (when there is no sign it is considered as multiply sign)

y=-28

Nolan was given a box of assorted chocolates for his birthday. Each night, Nolan treated himself to some chocolates. There were originally 30 chocolates in the box and after 8 nights, there were 6 chocolates remaining in the box. Write an equation for , in terms of t, representing the number of chocolates remaining in the box C days after Nolan's birthday .

Answers

Answer: C=-3t+30

Step-by-step explanation:

The equation of remaining chocolate C  in terms of t could be C =30 - 3t.

What is an equation?

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Given that the Initial number of chocolates in box = 30

Also after 8 nights, number of remaining chocolates = 6

Then we have

In 8 nights, 24 chocolates were treated.

In 1 night, 3 chocolates were treated.

The equation of remaining chocolate C  in terms of t can be written by;

C =30 - 3t.

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pls help !!!!! i do not understand this at all !??

Answers

Every time you make a cut, you increase the number of logs by one because you are turning one piece of log into two pieces of logs. Since the number of logs increases by one each time you cut it, and you start out with one log, the number of logs will always be one more than the number of cuts.

Which equation is equivalent to 7 + 3 ( x+4 ) = 10 x -2

Answers

Answer:

X=3

Step-by-step explanation:

First, the 3 spread to the x and the 4 because of distribution property. Then, 3x is moved to the right, and the left turns into 19. The X's turn into 7x, and the -2 is moved to the left which makes it positive. The equation is simplified to 21=7x which means that x=3.

Hope this helps!

The correct answer is x=3
7+3(x+4)=10x-2
7+3x+12=10x-2
19+3x=10x-10
29=7x
3=x

I HOPE THAT MAKES SINCE LOL!!

what is the slop of the line shown below

Answers

Answer:  d, -1/3

Step-by-step explanation:

Answer:

j

Step-by-step explanation:

You have a 7-by-5-inch photo of the math club that must be reduced to a size of 4.2 inches by 3 inches for the school yearbook. What percent does the photo need to be reduced to in order for it to fit in the allotted space?

Answers

Answer: 64%

Step-by-step explanation:

Given: Size of photo = 7-by-5-inch

Area of photo = 7 x 5 = 35 sq. inches   [ Area = Length x width]

Required size = 4.2 inches by 3 inches

Area of required size = 4.2 x 3 =12.6 sq. inches

Area reduced =Area of photo  - Area of required size = 35-12.6 =22.4 sq. inches

Percentage of the photo need to be reduced to in order for it to fit in the allotted space

[tex]=\dfrac{22.4}{35}\times100=64\%[/tex]

Percentage of the photo need to be reduced to in order for it to fit in the allotted space = 64%

H

What is the answer to this complex math question? 1+1=
3
2
4
7

Answers

2 is the answer that’s is complex to the math question

Answer: hMmMmMm..

Step-by-step explanation: bruh it’s gotta be 7, I mean it totally makes the most sense.

(Ello m8) :3

Two high schools, Jefferson Hills East and Jefferson Hills West are taking field trips to the state capital. A total of 408
students from Jefferson Hills East will be going in 3 vans and 6 buses. A total of 516 students from Jefferson Hills West
will be going in 6 vans and 7 buses. Each van has the same number of passengers and each bus has the same number of
passengers.

Answers

Answer:

see explanation!

Step-by-step explanation:

If Jefferson Hills East takes 3 vans and each van has xx students, then 3x3x students will ride in vans. If the school takes 6 buses and each bus has yy students, then 6y6y students will ride in buses. The total number of students is then 3x+6y3x+6y. It is given that the school has 408 students so 3x+6y=4083x+6y=408.

If Jefferson Hills West takes 6 vans and each van has xx students, then 6x6x students will ride in vans. If the school takes 7 buses and each bus has yy students, then 7y7y students will ride in buses. The total number of students is then 6x+7y6x+7y. It is given that the school has 516 students so 6x+7y=5166x+7y=516.

The system of equations is then { 3x+6y=408 6x+7y=516  

{

3x+6y=408

6x+7y=516

.

On three different days at his job, Stephen earned $41, $59, and $60. He needs to earn $150 to buy a couch for his living room. If he buys the couch, how much money will he have left over? After he buys the couch, Stephen will have $ left over.​

Answers

Answer:

He saves $10

Step-by-step explanation:

Add $41 $59 and $60 to get 160

Then subtract 160-150 to get $10

Help me plz :((((( helpsssbme tyyy

Answers

Answer:

jody is 11

Step-by-step explanation:

11x2=22.

22-3=19

19+11=30

Answer:

jody is (2)11 and jody's brother is 19

Step-by-step explanation:

2x -3 + x = 30

         3x = 33

           x = 11

You buy 3 apples at the quick market for 1.05. You can buy 5 of the same apples at the stop and save for 1.20. Which place is better?

Answers

Answer:

The stop

Step-by-step explanation:

3 apples = 1.05

5=1.20

Yes you will spend more at the stop but you get more apples

I hope this isn't a goofy answer please don't laugh i was trying to help :(

332/10 as an mixed number

Answers

Answer:

27 2/3

Step-by-step explanation:

Hope this helps :)

Answer: 33 & 1/5

Step-by-step explanation:

Step 1 - Find Whole Number

Calculate out how many times the denominator goes into the numerator. To do that, divide 332 by 10 and keep only what is to the left of the decimal point:

332 / 10 = 33.2000 = 33

Step 2 - Find New Numerator

Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.

332 - (10 x 33) = 2

Step 3 - Put Together

Keep the original denominator and use the answers from Step 1 and Step 2

Step 4 - Minimize

Minimize the fraction part from Step 3 by dividing the numerator and denominator by 2, which is the greatest common factor, to get the final answer. 332/10 as a Mixed Number.

HELP ME PLEASE will give brainliest

Answers

Answer:

a

Step-by-step explanation:

The base of a triangle is shrinking at a rate of 9cm/s and the height of the triangle is increasing at a rate of 7cm/s. Find the rate at which the area of the triangle changes when the height is 13cm and the base is 4cm.

Answers

Answer:

A = (1/2)*b*h

objective: find dA/dt

given: b = 26, db/dt = 2, b = (1/2)*h

since we are given db/dt lets get area in terms of b

since b = (1/2)h that means h = 2b

so A = (1/2)*b*(2b) = b^2

Take derivative wrt time, t

dA/dt = 2b*db/dt

Step-by-step explanation:

Point C is the image of A after a translation two units to the right, then a reflection using the x-axis.

The coordinates of point C are (
,
).

Answers

Using translation concepts, the coordinates of point C, considering A(x,y), are given as follows:

C(x + 2, - y).

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For this problem, we have that:

The translation two units right is represented by x -> x + 2.The reflection over the x-axis is represented by y -> -y.

Hence the coordinates of point C, considering A(x,y), are given as follows:

C(x + 2, - y).

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Plzzz help this is a quick question

Answers

Option B is the answer
it should be the second one: 200% < 2 x 10^2
because it’s 200% = 2 and 2 x 10^2 = 200

so 2 < 200 :)

4.) Cellular phone company A has 86,000,000 customers and cellular phone company B has
83,200,000 customers. How many more customers does cellular phone company A have than
cellular phone company B? Express your answer in standard form and scientific notation.

Answers

Answer:

They have 2,8000,00 more customers. 2.8x10^6

Step-by-step explanation:

Find the area of the shaded region

Answers

Answer:

If you multiply it is 44,800 ft

If you add it is 64 ft

Step-by-step explanation:

If you multiply 28 x 16 x 10 x 10 = 44,800 ft

If you add 28 + 16 + 10 + 10 = 64 ft

(I really hope this helps, if you don't mind can you mark me brainiest?)

Find the largest ratio from the following 3:7, 5:9, 11:3?

Answers

honestly i forgot about these but i think its like 5:9<3

Answer the following questions and round your answers to 2 decimal places. 31% of all college students major in STEM (Science, Technology, Engineering, and Math). If 36 students are randomly selected, find the probability that

Answers

Answer:

[tex]\mathbf{P(X =11 ) \simeq 0.1429}[/tex]

Step-by-step explanation:

The objective of this question is to find the probability that:

Exactly 11 of them major in STEM

So, Let assume X to be the random variable that follows a binomial distribution:

Then [tex]X \simeq Bin ( 36, 0.31)[/tex]

The probability that exactly 11 of them major in STEM can be computed as:

[tex]P(X =11 ) = ^{36} C_{11} (0.31)^{11} (1-0.31) ^{36-11}[/tex]

[tex]P(X =11 ) = \dfrac{36!}{11!(36-11)!} \times (0.31)^{11} \times (0.69) ^{25}[/tex]

[tex]P(X =11 ) = \dfrac{36!}{11!(36-11)!} \times (0.31)^{11} \times (0.69) ^{25}[/tex]

[tex]P(X =11 ) =600805296 \times (0.31)^{11} \times (0.69) ^{25}[/tex]

[tex]\mathbf{P(X =11 ) \simeq 0.1429}[/tex]

Thus; the probability that exactly 11 of them major in STEM is 0.1429

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