What is the equation of the line that passes through (4,3) and (2, -1)?

y = 4x -13
y = 6x+4
y = 2x-5
y = 1/2 x -2

9514 1404 393

Answer:

  108 cm²

Step-by-step explanation:

The area of a triangle is given by the formula ...

  A = 1/2bh

where b represents the base length, and h represents the height--the perpendicular distance from the base to the opposite vertex. The area of this triangle is ...

  A = 1/2(12 cm)(18 cm) = 108 cm²

Answer:

C. 3 3/4

Step-by-step explanation:

just is

id k how to explain

Answer:

198 more people attended the play on Sunday than on Friday

Step bye step explanation:

638 - 438 = 198.

(438 Friday night

(438 Friday night 636 Sunday night)

The two sides and two top angles are identical so the two bottom halves are the same

18 -2r = 4R

Add 2r to both sides

18 = 6r

Divide both sides by 6

R = 3

The answer is A. 3

Answer:

6

Step-by-step explanation:

Solve the absolutes: |-6| becomes 6

and |6| doesn't change and still is 6

Substitute: 6-6-(-6)

- * - = +

6-6+6 = 6

Answer:

2400$

Step-by-step explanation:

Miller's Family spends 50% of their budget on housing and we know that they spent 1200$ this month, so 1200$*2 = 2400$.

Have a nice day! :-)

Answer:

or,x*10=5*6

or, 10x=30

or,x=30/10

or,x=3

X/6 = 5/10 // - 5/10

X/6-(5/10) = 0

X/6-1/2 = 0

1/6*X-1/2 = 0 // + 1/2

1/6*X = 1/2 // : 1/6

X = 1/2/1/6

X = 3

X = 3

Here's a link to help with future problems and it helped me with this question

https://www.geteasysolution.com/

Answer:

44.8

Step-by-step explanation:

Using the Cosine formula, we first have Cos 48 = 30/x. So then we just solve for x and get 44.8342965, which rounds to 44.8

I hope this helped! :D

Answer: What are we supposed to do ???

Let a, b, and c be vectors each starting at the origin and terminating at the points (x, x + 1), (x + 2, x + 3), and (x + 3, 2x + 4), respectively.

Then the vectors a - b, a - c, and b - c are vectors that point in directions parallel to each of the legs formed by the triangle with these points as its vertices.

If this triangle is to contain a right angle, then exactly one of these pairs of vectors must be orthogonal. In other words, one of the following must be true:

(a - b) • (a - c) = 0

or

(a - b) • (b - c) = 0

or

(a - c) • (b - c) = 0

We have

a - b = (x, x + 1) - (x + 2, x + 3) = (-2, -2)

a - c = (x, x + 1) - (x + 3, 2x + 4) = (-3, -x - 3)

b - c = (x + 2, x + 3) - (x + 3, 2x + 4) = (-1, -x - 1)

Case 1: If (a - b) • (a - c) = 0, then

(-2, -2) • (-3, -x - 3) = (-2)×(-3) + (-2)×(-x - 3) = 2x + 12 = 0   ==>   x = -6

which would make a - c = (-3, 3) and b - c = (-1, 5), and their dot product is not zero. Then the triangles vertices are at the points (-6, -5), (-4, -3), and (-3, -8).

Case 2: If (a - b) • (b - c) = 0, then

(-2, -2) • (-1, -x - 1) = (-2)×(-1) + (-2)×(-x - 1) = 2x + 4 = 0   ==>   x = -2

which would make a - c = (-3, -1) and b = (-1, 1), and their dot product is also not zero. The vertices are the points (-2, -1), (0, 1), and (1, 0).

Case 3: If (a - c) • (b - c) = 0, then

(-3, -x - 3) • (-1, -x - 1) = (-3)×(-1) + (-x - 3)×(-x - 1) = x ² + 4x + 6 = 0

but the solutions to x here are non-real, so we throw out this case.

So there are two possible values of x that make a right triangle, x = -6 and x = -2.

Answer:

$2046

Step-by-step explanation:

Add 1947 and 99 because he is depositing, as in adding, 99 dollars

Answer:

First question:0

Second question:2/15

Step-by-step explanation:

First:

Total of marbles=10

since there is no blue the probability is 0, since black is 3. then prob= number of black/total number of marbles. =3/10

therefore 0*3/10 =0

second:

probability of red is 4/10

since the first marble wasn't returned,the total number of marbles=9

therefore probability if the second red marble is =3/9 =1/3

probability of first marble *probability of second marble

(4/10)*(1/3) =(4/30)= 2/15

The maximum no of fruits that could be put in each box is 48

For determining the maximum no of fruits, we have to find out the highest common factor i.e. HCf between two numbers i.e. 240 and 288

So,

For 240 = [tex]2 \times 2 \times 2 \times 2 \times 3 \times 5[/tex]

And, for 288, it is = [tex]2 \times 2 \times 2 \times 2 \times 2 \times3 \times 3[/tex]

So, the highest common factor between two numbers is

= [tex]2\times 2\times 2\times 2\times 3[/tex]

= 48

So we can conclude that the maximum no of fruits that could be put in each box is 48

Learn more about numbers here: brainly.com/question/17429689?

Answer:

the maximum number of fruits that can be put in each box=48

Given :

Total number of oranges = 240

Total number of apples = 288

we find maximum number of fruits by finding highest common factor HCF

Step-by-step explanation:

Lets find out HCF of 240 and 288

Write the prime factors for 240 and 288

[tex]288=2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3 \cdot 3\\240=2 \cdot 2 \cdot 2 \cdot 2 \cdot 3 \cdot 5[/tex]

Now write the common factor for both numbers

[tex]2 \cdot 2 \cdot 2 \cdot 2 \cdot 3 =48[/tex]

So, GCF is 48

We have to  put 48 fruits in each box.

Learn more :

brainly.in/question/8084599

Answer:

x=9

Step-by-step explanation:

a=hyp=15

b=base=12

x=perp=?

using pathagorus theorem:

[tex] {hyp}^{2} = {base}^{2} + {perp}^{ 2} \\ {15}^{2} = {12}^{2} + {x}^{2} \\ 225 = 144 + x \\ 225 - 144 = {x}^{2} \\ 81 = {x}^{2} \\ x = 9[/tex]

Answer:

1/5

Step-by-step explanation:

.7555555(repeating )

writing as a fraction

x = .755555555

10 x = 7.555555

Subtract the two

10x = 7.555555

-x =     .75555555

--------------------------

9x  =6.8

Divide each side by 9

x = 6.8/9

x = 68/90

Divide by 2

x = 34/45

We do the same  for .555555 repeating

y = .5555 repeating

10 y = 5.5 repeating

10y  = 5.5

-y =       .555

-------------------

9y = 5

y = 5/9

Subtract x - y

34/45 - 5/9

Get a common denominator

34/45 - 25/45

9/45

1/5

In decimal form, this is equivalent to -0.6

=================================================

Explanation:

This segment bisector is cutting side BC in half. So we have a point D such that it is between B and C. Also, we can say BD = DC. Refer to the diagram below.

To find the location of D, we'll apply the midpoint formula to points B and C.

B(1,2) and C(7,6) have x coordinates of 1 and 7 respectively. Average those x values to get (1+7)/2 = 8/2 = 4. This is the x coordinate of point D.

Repeat this idea for the y coordinates. We'll get (2+6)/2 = 8/2 = 4 which is the y coordinate of D.

Point D is located at (4,4)

---------------------

The takeaway from that last section, if we were to summarize it in one sentence, is that D is located at (4,4).

Now focus on the points A(-1,7) and D(4,4)

We'll apply the slope formula

m = (y2-y1)/(x2-x1)

m = (4-7)/(4-(-1))

m = (4-7)/(4+1)

m = -3/5 is the slope

Notice that to go from A to D, we can drop down by 3 units and move to the right 5 units. We can say rise = -3 and run = 5; therefore, slope = rise/run = -3/5

Answer:

84

Step-by-step explanation:

Since there will be 28 people, and each of them will drink 3 glasses, you just multiply the number of people times the number of glasses they will drink each, so 28*3. The result is 84.

I hope this helped! :D

Lee should need to make 84 glasses of fruit if is planning an event for 28 people.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let Lee needs to make x number of glasses of fruit.

From the question we can frame a linear equation in one variable:

x/3 = 28

As we know, the arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

After cross multiplication:

x = 28×3

x = 84 glasses

Thus, Lee should need to make 84 glasses of fruit if is planning an event for 28 people.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

Answer:

462 pictures

Step-by-step explanation:

Average (mean) is calculated by adding up all the values and dividing by how many values there are, therefore to have an average 420 pictures daily, the sum of the 5 days must be: 5x420 = 2100

The current sum is: 320 + 564 + 281 + 473 = 1638

Therefore the number for Friday is 2100 - 1638 = 462 pictures.

Hope this helped!

Answer:

650 calls

Step-by-step explanation:

so since you have 18$ per month plus 5 cents per call you would do

18+0.5n(n represent the number of calls)= the total fee of $50.50 cents.

thus,now you need to figure out how much the phone calls were without the monthly fee so you would do:

50.50-18=32.50

so 32.50 is the price of all the phone calls

then you divide 32.50 by 0.05 which equals to 650

meaning that n=650

hope I helped!

Answer: 2.08 km

Step-by-step explanation:

Side of Square = 520 m

Perimeter of Square = Side × 4

                                  = 520 × 4

                                  = 2080 m

1000 m = 1km

2080 m = 2080 ÷ 1000

              = 2.08 km

[tex]\\ \sf\longmapsto \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\\ \sf\longmapsto \sqrt{(-9-0)^2+(1-10)^2}[/tex]

[tex]\\ \sf\longmapsto \sqrt{(-9)^2+(-9)^2}[/tex]

[tex]\\ \sf\longmapsto \sqrt{81+81}[/tex]

[tex]\\ \sf\longmapsto \sqrt{162}[/tex]

[tex]\\ \sf\longmapsto 12.42[/tex]

Step-by-step explanation:

[tex]re(i(x + yi) = - im(x + yi) \\ re(xi - y) = - im(x + yi) \\ - y = - (y) \\ - y = - y \\ proved \: is \: correct[/tex]

Because the account is compounded continuously, Euler number is required

e = 2.7182818

Answer:

does the answer help you?

The centroid and center of mass need not be the same point. They are the same only when a body's mass is uniformly distributed.

Answer:

answer: 0.9479

hope I helped

The common factors of 60 and 75 are

1, 3, 5 and 15

And GCF is 15

Must click thanks and mark brainliest