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Lelu [443]
1 year ago
7

Determine the slope of each line segment of AQRS. Show your work or explain your reasoning.

Mathematics
1 answer:
ElenaW [278]1 year ago
6 0

The slope of each line segment of ΔQRS are-

  • QR = 3/10
  • RS = - 10/3
  • QS = -7/13
<h3>What is meant by the slope of the line?</h3>
  • A slope of a line is defined in mathematics as the change in y coordinate to regard to the shift in x coordinate.
  • The net change in y-coordinate is denoted by  Δy, whereas the net change in x-coordinate is denoted by  Δx.

For the given question,

The coordinates of each vertices of the triangle are-

Q = (-7, -2)

R = (3, 1)

S = (6, -9)

The formula for the slope of the line segment.

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

Slope QR = (1 + 2)/(3 + 7)

Slope QR = 3/10

Slope RS = (-9 - 1)/(6 - 3)

Slope RS = - 10/3

Slope QS = (-9 + 2)/(6 + 7)

Slope QS = -7/13

Thus, the slope of the each line segment of the given triangle QRS is found.

To know more about the slope of the line, here

brainly.com/question/16949303

#SPJ13

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Mark bought refreshments. Sandwiches were 2.50 each and bottles of water were $1.25 each. He spent $356.25 on a total of 180 ite
Over [174]
First you have to write the equation. in the scenario, use standard form.
Ax+By=C
plug the numbers in. A=2.50, B=1.25, and C is the total, 356.25. the 180 doesn't come in quite yet.
your equation is 2.50x+1.25y=356.25. now, since they only bought 180 items, you can't go past that.

I am sorry, but I am about to leave for school, and therefore do not have enough time to answer the last of your question. I hope the part I could answer has helped you.
7 0
3 years ago
0.00462962962 as a fraction?
34kurt

Answer:

462962962/100000000000

8 0
3 years ago
Ellen must take 4 courses this semester. She has a list of 3 math courses and 4 science courses to from which to choose. (a) Ini
prisoha [69]

Answer:

So the number of total combinations is 35.

Step-by-step explanation:

We know that Ellen must take 4 courses this semester. She has a list of 3 math courses and 4 science courses.  

Therefore, she have total 7 courses.  

So, we calculate the number of combinations to choose 4 out of 7  courses.

We get:

C_4^7=\frac{7!}{4!(7-4)!}=35\\

So the number of total combinations is 35.

7 0
3 years ago
What the correct answer do not want the wrong answer please
Crank

Answer:

388.5yd²

Step-by-step explanation:

We have Triangle TUV

In the question, we are given already

Angle U = 32°

Angle T = 38°

Angle V = ???

Side t = 31yd

Side u = ?

Side v = ?

Area of the triangle= ?

Step 1

We find the third angle = Angle V

Sum of angles in a triangle = 180°

Third angle = Angle V = 180° - (32 + 38)°

= 180° - 70°

Angle V = 110°

Step 2

Find the sides u and v

We find these sides using the sine rule

Sine rule or Rule of Sines =

a/ sin A = b/ Sin B

Hence for triangle TUV

t/ sin T = u/ sin U = v/ sin V

We have the following values

Angle T = 38°

Angle U = 32°

Angle V = 110°

We are given side t = 31y

Finding side u

u/ sin U= t/ sin T

u/sin 32 = 31/sin 38

Cross Multiply

sin 32 × 31 = u × sin 38

u = sin 32 × 31/sin 38

u = 26.68268yd

u = 26.68yd

Finding side x

v / sin V= t/ sin T

v/ sin 110 = 31/sin 38

Cross Multiply

sin 110 × 31 = v × sin 38

v = sin 110 × 31/sin 38

v = 47.31573yd

v = 47.32yd

To find the area of triangle TUV

We use heron formula

= √s(s - t) (s - u) (s - v)

Where S = t + u + v/ 2

s = (31 + 26.68 + 47.32)/2

s = 52.5

Area of the triangle = √52.5× (52.5 - 31) × (52.5 - 26.68 ) × (52.5 - 47.32)

Area of the triangle = √150967.6032

Area of the triangle = 388.5454973359yd²

Approximately to the nearest tenth =388.5yd²

5 0
3 years ago
Choose the polynomial written in standard form.
Semenov [28]

Answer:

x^4 + 4x^3 + 10x

Step-by-step explanation:

A polynomial written in decreasing order of the degree of its monomials ( or single term ) is called its standard form,

In polynomial,

x^2 + 4x^4 + 10x^6,

Degrees are written in increasing order,

⇒ It is not written in standard form,

In polynomial,

x^4 + 4x^3 + 10x,

Degrees are written in decreasing order,

⇒ It is written in standard form,

In polynomial,

x^7 + 4x^3 + 10x^4,

There is no order of degrees,

⇒ It is not written in standard form,

In polynomial,

x^6 + 4x^3 + 10x^7,

There is no order of degrees,

⇒ It is not written in standard form,

4 0
3 years ago
Read 2 more answers
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