Triangle ABC has vertices at A(–2, 3), B(–3, –6), and C(2, –1). Is triangle ABC a right triangle? If so, which angle is the right angle?

Answer: slope= -6.0/2.0= -3.0

Step-by-step explanation:

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -10.000 and for x=2.000, the value of y is -16.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -16.000 - (-10.000) = -6.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

x-intercept = -10/3 = -3.33333

 y-intercept = -10/1 = -10.00000

Answer:

[tex]m=\frac{4}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (3, 3)

Point (12, 15)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

The first one and the last one

Step-by-step explanation:

Simplify

7(-3/4x-3)

-21/4x-21

-5 1/4x-21

You will get the same answer if you just simply the last one.

Answer:

3cm

It would be 3.35, but rounded it is 3cm

Step-by-step explanation:

268/80 = 3.35

Answer:

x=3, y=13. (3, 13).

Step-by-step explanation:

7x-8=5x-2

7x-5x-8=-2

2x-8=-2

2x=-2+8

2x=6

x=6/2=3

y=5(3)-2=15-2=13

Answer:

given y=7x-8 i

y=5x-2 ii

Step-by-step explanation:

equating equation i and ii which is i=ii

7x-8=5x-2

7x-5x= -2+8

2x=6

x=6÷2

x=3

now

putting the value of xbin equation i

y=7x-8

y=7×3-8

y=21-8

y=13

hence the value of x and y is 3 and 13 respectively

Answer:

I been trying to look for that answer for so long but can we help each other at least

Answer:

Step-by-step explanation:

We have  Kevin's sales equation is

[tex]S=60n-5[/tex]

Step 1

Find out Dylan's sales equation

Find the slope

We need two points

We take

[tex](2,104)[/tex] And [tex](6,324)[/tex]

[tex]m=(324-104)/(6-2)[/tex]

[tex]m=\frac{220}{4} \\m=55[/tex]

Find the equation in slope intercept form

[tex]s=mn+b[/tex]

We have

[tex]m=55[/tex]

point [tex](2,104)[/tex]

Substitute and solve for b

[tex]104=55(2)+b\\[/tex]

[tex]b=104-110\\b=-6\\[/tex]

So

[tex]S=55n-6\\[/tex]

Therefore

Kevin's rate of change is 60

Dylan's rate of change is 55

Compare

Kevin's rate of change is greater than Dylan's rate of change because Kevin's sell 60 cars per year and Dylan's sells 55 cars per year.

PLEASE MARK ME AS BRAINLIEST

Answer:

Its green

Step-by-step explanation:

In here wehn they don't say or it means that the line is going to be attached

Answer:

The required equation is:

[tex]y=\mathbf{-0.271}x+\mathbf{13.876}[/tex]

Step-by-step explanation:

We have x = Distance of goal posts

y = field Goals made

The data given is:

x       y

20     9

25      6

30       7

35       4

40       1

45        2

50        1

We need to find the regression equation y = bx + a

Where [tex]b=\frac{SP}{SS_x} \:and\: a=M_y-bM_x[/tex]

Sum of all values of x = 245

Sum of all values of y = 30

Now, calculating mean using formula: [tex]Mean=\frac{Sum\:of\:all|\:values}{Number\:of\:values}[/tex]

Mean of x (Mₓ) = 35

Mean of y ([tex]M_y[/tex]) = 4.28

Sum of squares (SSₓ) = 700

Sum of products (SP) = -190

Now, finding b:

[tex]b=\frac{SP}{SS_x} \\b=\frac{-190}{700}\\b=-0.271[/tex]

Now, finding a:

[tex]a=M_y-bM_x\\a=4.28-(-0.271*35)\\a=13.786[/tex]

So, the required equation is:

[tex]y=\mathbf{-0.271}x+\mathbf{13.876}[/tex]

Answer:

y= 1/15.735. y is o.o64 character so one half is your answer

Answer:  27

Step-by-step explanation:

180-153= 27

y=27

Answer:

$3400

Step-by-step explanation:

800+(26x100)

Answer:

0.09

Step-by-step explanation:

Given :

P(bike) = 0.8

P(car) = 0.2

P(Late given car) = P(Late | car) = 0.05

P(Late given bike) = p(Late | bike) = 0.1

Probability that professor is late :

P(late) = [P(Late | car) * p(car)] + [p(Late | bike) * p(bike)]

P(late) = [0.05 * 0.2] + [0.1 * 0.8]

P(late) = 0.01 + 0.08

P(late) = 0.09

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

Explanation:

We'll use these two rules

This only applies to triangles.

EF is the smallest side because the angle G is the smallest angle.

FG is the longest side because it is opposite the largest angle E

That places EG in the middle.

The order of the sides from smallest to largest is EF, EG, FG

Answer:

y=55 when x is 33

Step-by-step explanation:

Use the direct variation formula:

[tex]\frac{y}{x} =k[/tex]  or [tex]\frac{y}{x} =\frac{y}{x}[/tex]

Insert the given values:

[tex]\frac{15}{9}=\frac{y}{33}[/tex]

To simplify the equation, cross multiply:

[tex]15(33)=9(y)\\\\495=9y[/tex]

Isolate the variable. Divide both sides by 9:

[tex]\frac{495}{9} =\frac{9y}{9} \\\\55=y[/tex]

Therefore, when x is 33, y is 55.

:Done

Answer:

a=54

Step-by-step explanation:

EASY

look triangles are 180 degrees

means all 3 sides add to 180

look at 2a and the missing angle they add up to 180

180-(a+10)-44

missing angle is

−a+126

exteriro plus interior angles add up to 180

-a+126+2a=180

solve and simplify

a=54

Answer:

x=5

Step-by-step explanation:

We kind of have to work backward.

First, we take 12+3 because when we move it over the equal sign, we make it the opposite.

12+3=15

Our new equation is now, 3x=15

We now take:

3x__=15

The blank represents x, which is 5.

Hope this helps!

-AxekickNebulite

Answer:

108,404,000

Step-by-step explanation:

Answer:184,400,000

Step-by-step explanation:

good

Answer:

midpoint (4,-7)

Step-by-step explanation:

please see work attached where you utilize the midpoint formula.

please give thanks :)

Answer:

[tex](4,-7)[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Endpoint (2, -4)

Endpoint (6, -10)

Step 2: Find Midpoint

Simply plug in your coordinates into the midpoint formula to find midpoint

Answer: y=3x−12

Step-by-step explanation:

Answer: The travel services sector is made up of a complex web of relationships between a variety of suppliers, tourism products, destination marketing organizations, tour operators, and travel agents, among many others. Under the North American Industry Classification System (NAICS), travel services comprises businesses and functions that assist with planning and reserving components of the visitor experience (Government of Canada, 2014).

A 7% – 8% commission level is somewhat standard with host agencies working with self sufficient agencies. Independent travel agents earning 90% – 100% of the commission are usually high volume seasoned agents that require little to no support from the host agency.

(sorry if im wrong)

:(

Answer:

Step-by-step explanation:

THe second one

Answer:

m > 6

Step-by-step explanation:

[tex] - 4m > - 24[/tex]

[tex] = > \frac{ - 4m}{ - 4} > \frac{ - 24}{ - 4} [/tex]

[tex] = > m > 6[/tex]

Answer:

0.8

Step-by-step explanation:

A = hamburger

B = french fries

P(B|A)

P(AB)/P(A)

= 0.72/0.9

= 0.8

Answer:

0.79 ; 0.753

Step-by-step explanation:

Given that:

Students who have spent at least five hours studying GMAT review guides have a probability of 0.85 of scoring above 400 :

≥ 5 hours review = 0.85

Students who do not spend at least five hours reviewing have a probability of 0.65 of scoring above 400

< 5 hours = 0.65

70% (0.7) of business students spend atleast 5 hours review time

A.) probability of scoring above 400

(Proportion who spend atleast 5 hours review time * 0.85) + (Proportion who do not spend atleast 5 hours * 0.65)

Proportion who do not spend atleast 5 hours = (1 - proportion who spend atleast 5 hours) = 1 - 0.7 = 0.3

Hence,

P(scoring above 400) = (0.7 * 0.85) + (0.3 * 0.65) = 0.595 + 0.195

= 0.79

B.) probability that given a student scored above 400, he/she spent at least five hours reviewing for the test.

P(spent ≥5 hours review | score above 400) :

P(spent ≥5 hours review) / P(score > 400)

(0.7 * 0.85) / 0.79

0.595 / 0.79

= 0.753