Which of the following triangles is a unique triangle that could not be
rearranged into a different size or shape?

Answer:

[tex]y = -\frac{10}{3}x -23[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (-9,7)[/tex]

[tex](x_2,y_2) = (-6,-3)[/tex]

Required

Determine the line equation

We start by calculating the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where:

[tex](x_1,y_1) = (-9,7)[/tex]

[tex](x_2,y_2) = (-6,-3)[/tex]

So, we have:

[tex]m = \frac{-3- 7}{-6 - (-9)}[/tex]

[tex]m = \frac{-3- 7}{-6 +9}[/tex]

[tex]m = \frac{-10}{3}[/tex]

[tex]m = -\frac{10}{3}[/tex]

The equation is then calculated using:

[tex]y - y_1 = m(x - x_1)[/tex] ---- Point slope form of an equation

Where:

[tex]m = -\frac{10}{3}[/tex]

[tex](x_1,y_1) = (-9,7)[/tex]

[tex]y - y_1 = m(x - x_1)[/tex] becomes

[tex]y - 7 = -\frac{10}{3}(x - (-9))[/tex]

[tex]y - 7 = -\frac{10}{3}(x +9)[/tex]

Open bracket:

[tex]y - 7 = -\frac{10}{3}x -\frac{10}{3}*9[/tex]

[tex]y - 7 = -\frac{10}{3}x -10*3[/tex]

[tex]y - 7 = -\frac{10}{3}x -30[/tex]

Collect Like Terms

[tex]y = -\frac{10}{3}x -30 + 7[/tex]

[tex]y = -\frac{10}{3}x -23[/tex]

Hence:

The equation is: [tex]y = -\frac{10}{3}x -23[/tex]

Answer:

y=-10/3x-23

Step-by-step explanation:

Answer:

C.(2,1,0)

Step-by-step explanation:

on edg

The solution to the following system is [tex](2,1,0)[/tex].

Algebra is defined as the study of mathematical symbols and in which letters and symbols are used to represent numbers.

We have,

[tex]3x+3y+6z=9[/tex]    [tex](i)[/tex]

[tex]x+3y+2z=5[/tex]    [tex](ii)[/tex]

[tex]3x+12y+12z=18[/tex]  [tex](iii)[/tex]

To find the solution to the above give algebraic equations,

We have to find values of [tex]x,y,z[/tex].

So,

We will be putting [tex]z=0[/tex] in equation [tex](i)[/tex],

[tex]3x+3y+6(0)=9[/tex]

[tex]3x+3y=9[/tex]    [tex](iv)[/tex]

Now,

We will be putting [tex]z=0[/tex] in equation [tex](ii)[/tex],

[tex]x+3y+2(0)=5[/tex]

[tex]x+3y=5[/tex]  

[tex]x=5-3y[/tex]    [tex](v)[/tex]

Using equation [tex](iv)[/tex] & [tex](v)[/tex],

We get,

[tex]3(5-3y) +3y=9[/tex]

[tex]15-9y+3y=9[/tex]

[tex]-6y=-6[/tex]

[tex]y=1[/tex],

Now we have value of  [tex]y=1[/tex], putting this value in equation  [tex](v)[/tex],

[tex]x=5-3(1)[/tex]

[tex]x=2[/tex],

Hence, we can say that option [tex](2,1,0)[/tex] is the correct answer.

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9514 1404 393

Answer:

Step-by-step explanation:

You can read f(0) = 3/2 from the table. The slope is 1/2, so f(4) will be 1 more than f(2): f(4) = 7/2.

Answer:

21

Step-by-step explanation:

Answer:

[tex]m=-2[/tex]

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (-1, 0)

Point (-3, 4)

Step 2: Find slope m

Answer: i see you got the answer already, but I was wondering if you could give me brainliest to help me level up. I would really appreciate it.

Step-by-step explanation:

Answer:

C. Square root of x = -5

Step-by-step explanation:

Answer: c [tex]\sqrt{x} =-5[/tex]

Step-by-step explanation:

9514 1404 393

Explanation:

Here are the reasons:

Answer:

(0, 4)

x = 0

y = 4

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define systems

12x - 5y = -20

y = x + 4

Step 2: Solve for x

Substitution

Step 3: Solve for y

Answer:

90

Step-by-step explanation:

Answer:

acute

Step-by-step explanation:

It measures less than 90 degrees

Answer:

Acute angle

Step-by-step explanation:

(less than 90°)

Answer:

The slope represents the rate of change of water volume stored in a storage tank.

The slope here is -900 in units of gallons per month. (gal/mos)

Step-by-step explanation:

The slope is rise over run, going from left to right.

Looking at the difference in time then, it is a period of ten months, and the volume difference is -9000 gallons.

The slope then is -9000 gallons divided by 10 months, which is -900 gallons per month

Answer:

25 cm

Step-by-step explanation:

a^2 + b^2 = c^2

7^2 + 24^2 = c^2

49 + 576 = c^2

c^2 = 625

c = 25

Answer: 25 cm

Answer:

A is a function

Step-by-step explanation:

Hope the image helps.

Answer:

c = 17 chapters left

d= im going to say 6

Answer:

C.

29 + 12 = 41

D.

2 : 3

(add 7)

? : 10

9 : 10

Step-by-step explanation:

Your answer for C. is 41 chapters.

Your answer for D. is 9 cartons of milk in 10 seconds.

Answer:

21

Step-by-step explanation:

Answer:

Step-by-step explanation:

me too

Answer:

1 right triangle and isosceles

2 acute triangle and scalene

3 equiangular triangle and equilateral

4 acute triangle and isosceles

5 obtuse triangle and isosceles

6 obtuse and scalene

7 equiangular triangle and equilateral

8 right triangle and isosceles

I'm not sure about the bottom part since I can't really see sorry.

Step-by-step explanation:

acute - when a angle is less than 90 degrees

Obtuse - when an angle is more than 90 degrees

Right - when angle is at 90 degrees also it will have a square in the triangle to let you know that it 90 degrees/right angle.

Scalene triangle - when side have an uneven length.

isosceles triangle - when two side are equals.

equilateral - when all sides are equal.

equiangular -  have all equal angles

Answer:

The posters cost $52.07.

Step-by-step explanation:

First, you have to calculate the cost of the 20 posters by multiplying the price per poster for the quantity:

$2.89*20=$57.8

Then, you have to calculate the 15% discount by multiplying the cost for 15% and subtracting that amount from the cost:

$57.8*15%=$8.67

$57.8-$8.67=$49.13

Finally, you have to calculate the 6% of $49.13 and add the result to that amount:

$49.13*6%=$2.94

$49.13+$2.94=$52.07

According to this, the answer is that the posters cost $52.07.

Answer:

False

Step-by-step explanation:

It is not proportional because the distance does increase with the same amount with time.

if Proportional , this would be the tabel

Time distance

1 4

2 5.5

3 7

4 8.5

5 10

Answer:

Pythagorean Theorum

Step-by-step explanation:

a^2*b^2= c^2

Answer:

150

Step-by-step explanation:

Answer:

150 people

Step-by-step explanation:

If you turn 69/150 into a percent it will in fact give you 46%

Answer:

(0, 3)

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

According to the graph, the line passes the y-axis at 3. Therefore, our y-int is (0, 3).

Answer:

3

Step-by-step explanation:

Each line represents one unit, so if we count up from the origin, or (0, 0), up until we get to the y-intercept, we count a total of 3 lines. That means the y-intercept is at (0, 3). We can just simplify this to 3, though. I hope this helps!