Triangle ABC has vertices A(-5, -1), B(5, -1), and C(0, -4). Is it scalene, isosceles or equilateral

Answers

Answer 1

Answer:

Isosceles Triangle

Step-by-step explanation:

Triangle ABC has vertices A(-5, -1), B(5, -1), and C(0, -4). Is it scalene, isosceles or equilateral?

We solve this question using vertices formula:

√(x2 - x1)² + (y2 - y1)² when given vertices: (x1, y1) and (x2 , y2)

For Side AB

A(-5, -1), B(5, -1)

AB = √(5 - (-5))² + (-1 -(-1))²

AB= √(5 + 5)² + (-1 + 1)²

AB = √10² + 0

AB = √100

AB = 10 units

For Side BC

B(5, -1), C(0, -4)

BC = √(0 - 5)² + (-4 -(-1))²

BC = √-5² + (-4 + 1)²

BC = √25 + -3²

BC = √25 + 9

BC = √34

For Side AC

A(-5, -1), C(0, -4).

AC = √(0 - (-5))² + (-4 - (- 1)²

AC = √5² + -3²

AC = √25 + 9

AC = √34

Therefore this triangle is an isosceles triangle because 2 of its sides (AC and BC ) are equal to one another


Related Questions

5x – 4y < 20
Can someone help me graph please

Answers

Answer:

i cant show you how to but use desmos graphing calculator, copy and paste that equation and it will do it for you

Step-by-step explanation:

Urgent please help, will give brainliest

Answers

Answer:

51.89085

Step-by-step explanation:

area = 49pi

150/360 * 49pi = 64.14085

triangle area = 7 * sin(75 degrees) * 7 * cos(75 degrees) = 12.25

==> white region = 64.14085 - 12.25 = 51.89085

If a = 2 and b = 3, then the value of (a^b + b^a)-1 is :​

Answers

Answer:

[tex]16[/tex]

Step-by-step explanation:

Substituting [tex]a=2[/tex] and [tex]b=3[/tex] into [tex](a^{b}+b^{a})-1[/tex] gives us:

[tex](a^{b}+b^{a})-1[/tex]

[tex]=(2^{3} +3^{2})-1[/tex] (Substitute given values into expression)

[tex]=(8+9)-1[/tex] (Evaluate exponents)

[tex]=17-1[/tex] (Evaluate expression in parentheses)

[tex]=16[/tex] (Simplify)

Hope this helps!

Answer:

16

Step-by-step explanation:

Given

([tex]a^{b}[/tex] + [tex]b^{a}[/tex] ) - 1 ← substitute a = 2, b = 3

= (2³ + 3²) - 1

= (8 + 9) - 1

= 17 - 1

= 16

(Coordinate Plane) Square PQRS has vertices at P(-2, 4), Q(-2, -1), R(3, -1), and S(3, 4).
What is the length of side PS?
A : 8 units
B : 7 units
C : 5 units
D : 6 units​

Answers

Answer:

B)7 units

Step-by-step explanation:

Here is a list of numbers.
9
7
5
10
5
3
a) Work out the median.
(2)
Josh picks at random one of the numbers.
b) What is the probability that he picks an even number?
(2)
Basil has five numbered cards.
Two of the numbers are hidden. 49 ||?|?
8
The mode of the five numbers is 8
The mean of the five numbers is 6
c) Work out the two hidden numbers.
(2)

Answers

a) median is 6
put numbers in ascending order
3, 5, 5, 7, 9, 10
take 5 and 7, add them together and divide by two
7+5
——
2

= 6

that’s one part

work out (10 - 3 x 2) ^2

Answers

Answer:

Step-by-step explanif you subtract 10 from 3 you would get 7 multiply that by 2 x2 and then you would ge

HELP!!! URGENT!!! I WILL GIVE BRAINLEIST THING ​

Answers

Answer:

Horizontal distance = 0 m and 6 m

Step-by-step explanation:

Height of a rider in a roller coaster has been defined by the equation,

y = [tex]\frac{1}{3}x^{2}-2x+8[/tex]

Here x = rider's horizontal distance from the start of the ride

i). [tex]y=\frac{1}{3}x^{2}-2x+8[/tex]

      [tex]=\frac{1}{3}(x^{2}-6x+24)[/tex]

      [tex]=\frac{1}{3}[x^{2}-2(3x)+9-9+24][/tex]

      [tex]=\frac{1}{3}[(x^{2}-2(3x)+9)+15][/tex]

      [tex]=\frac{1}{3}[(x-3)^2+15][/tex]

      [tex]=\frac{1}{3}(x-3)^2+5[/tex]

ii). Since, the parabolic graph for the given equation opens upwards,

    Vertex of the parabola will be the lowest point of the rider on the roller coaster.

    From the equation,

    Vertex → (3, 5)

    Therefore, minimum height of the rider will be the y-coordinate of the vertex.

    Minimum height of the rider = 5 m

iii). If h = 8 m,

    [tex]8=\frac{1}{3}(x-3)^2+5[/tex]

    [tex]3=\frac{1}{3}(x-3)^2[/tex]

    (x - 3)² = 9

    x = 3 ± 3

    x = 0, 6 m

    Therefore, at 8 m height of the roller coaster, horizontal distance of the rider will be x = 0 and 6 m

Can someone help me with this umm math thingy

Answers

Answer:

1. The similar triangles are ΔXYZ and ΔPQR

The triangles are similar by the AA rule of similarity

2. The similar triangles ΔXYZ and ΔPQR cannot be assumed as being congruent because more information are required about the length of a pair of corresponding sides of both triangles

3. x = 17.5

4. x = 20

Step-by-step explanation:

1. The angles of triangle ΔXYZ are;

∠X  = 32°, ∠Y = 84° and ∠Z = 180° - (84° + 32°) = 64°

The angles of triangle ΔPQR are;

∠P  = 64°, ∠R = 32° and ∠Q = 180° - (64° + 32°) = 84°

The angles of triangle ΔABC are;

∠A  = 64°, ∠C = 92° and ∠B = 180 - (92 + 64) = 24°

Therefore, the two similar triangles are ΔXYZ and ΔPQR

The triangles are similar based on Angle-Angle (AA) rule of similarity

2. The similar triangles ΔXYZ and ΔPQR cannot be assumed as being congruent because more information are required about the length of a pair of corresponding sides of both triangles

3. We have by corresponding triangles formed by the tree and Enzo as follows;

5 ft./(6 ft.)= x/(21 ft.)

∴ x = 21 ft.× (5 ft./6 ft.) = 17.5 ft.

x = 17.5 feet

4. By corresponding triangles, we have;

(35 ft.)/(40.5 ft.+ 54 ft.) = x ft./(54 ft.)

∴ x ft. = (54 ft.) × (35 ft.)/(40.5 ft.+ 54 ft.) = 54 ft. × (35 ft.)/(94.5 ft.) = 20 ft.

x ft. = 20 ft.

∴ x = 20

Help me please I need to get a perfect score.

Answers

Answer: 5r-5s

Step-by-step explanation:

Hope this helps :)

Hannah and Anthony are siblings who have ages that are consecutive odd integers. The sum of their
ages iS 92. Which equations could be used to find Hannah's age, h, if she is the older sibling?

Answers

Answer:

hannah is 47 and Anthony is 45

Step-by-step explanation:

Sum= 92= a+(a+1)

sum= 45+(46+1)

sum= 45+47

sum= 92

4. Find the product of (a+b)(a²-ab+b?)​

Answers

Answer:

a³+b³

Step-by-step explanation:

this is formula. You can also refer to the attachment

Answer:

Step-by-step explanation:

(a + b) (a² - ab + b) = a*(a² - ab + b) + b(a² - ab + b)

                               = a*a² - a*ab +a*b + b*a² - b*ab + b*b

                               = a³ - a²b + ab   + a²b -ab² + b²

                             = a³ - a²b + a²b + ab - a²b + b²

                            = a³  + ab - a²b + b²

I Need help with this

Answers

Answer:

9 Miles

Step-by-step explanation:

Distance = Speed×Time

12× (45/60)

What are the coordinates of the points that will complete the square?


PLEASEEEE HELP I WILL GIVE BRAINLIEST

Answers

Answer:

(-2,-1)

Step-by-step explanation:

A square has all equal sides so the number between each point is 3. That means, the point has to be 3 away from the other point.

Answer:

Step-by-step explanation:el primer número siempre es x, entonces lo cuentes primero en la línea horiolas el número de espacios que te pide, el segundo es es y , este o cuentes de arriba hacia abajo.

te dejo la respuesta de todos modos

(-2,-1)

PLEASE HELP ASAP!! WILL MARK BRAINLIEST

Answers

Answer:

4

Step-by-step explanation:

split it in half u get a subtract sing makes that (8-4=4)

i think 64pi? but i’m not sure

9x-7i>3(3x-7u)I need the answer please ​

Answers

Step-by-step explanation:

9x-7i<3(3x-7u)=

9x-7i<9x-21u=

-7i<-21u=

i<3u

The bases of a cylinder have a diameter of 4 inches. The height of the cylinder is 6 inches. What is the total surface area of the cylinder?

Answers

Answer:

Step-by-step explanation:

area of base = π4² = 16π in²

lateral area = 2πrh = 2π·4·6 = 48π in²

surface area = 2×16π + 48π = 80π in² ≅ 251.3 in²

Answer: 100.54 in^2

Step-by-step explanation:

(the area of a circle*2) + (the circumference*the height) = the surface area of the circle

Area of a circle: Pi*r^2

Circumference: 2*Pi*r

please help mee

[tex]7 - ( - 3)[/tex]

Answers

Answer:

10

Step-by-step explanation:

7-(-3)=7+3=10

let the width and length be real numbers the perimeter remains a constant 24cm draw a graph 2|<w|<11​

Answers

Answer:

Step-by-step explanation:

These represent the points on the graph with w as the x-axis and l as the y -axis. You only need two pairs to make a line, but it is always best to use a 3rd point as a check.

If sec 50 = cosec 70, prove that 0 = 7.5°​

Answers

Answer:

The proofing is given below:

Step-by-step explanation:

[tex]Sec 5\theta = cosec 7\theta\\\\cosec (90 - 5\theta) = cosec 7\theta\\\\Now\ on\ comparision \\\\90 - 5\theta = 7\theta\\\\90 = 7\theta + 5\theta\\\\90 = 12\theta\\\\\frac{90}{12} = \theta\\\\0.75 = \theta[/tex]

Hence, it is proved

In ΔKLM, the measure of ∠M=90°, the measure of ∠K=83°, and KL = 74 feet. Find the length of MK to the nearest tenth of a foot.

Answers

Answer:

9

Step-by-step explanation:

Which of the following is most likely the next step in the series?

Answers

Answer:

your answer is D

Step-by-step explanation:

hope it helps

have a great day (:

y=5x+1 graph the equation

Answers

This is how you would graph y=5x+1

Just choose values for x like (-2,-1,0,1,2) then replace it in the equation. Ex. For -2 it would be y=5(-2)+1
Y=-9
So the point would be x=-2 and y=-9

PLZZ HELP ME...I AM FAILING THIS CLASS...WILL GIVE BRAINLIEST..THANKYOU SO MUCH!!

Answers

1. 20

2. 16

I think

.

.

.

1 20
2 16
:) gdgzfdhhdhdhdhddhdhhddhfdhjsjshdhdhhdhdhdfhhfhdhdhhdhdhgggdh

The system of equations y= 2x+5 and y=x+ 2 is
graphed below. What is the solution to the system
of equations?
у
x
보인
3 4 5
-2



Plssss helppppp

Answers

Answer:

(-3, -1) first option

Step-by-step explanation:

Is the relation below a function? Use the vertical-line test.
{(−6, 3), (−1, 0), (2, 4), (−1, −7), (5, 2)}

A. yes
B. no

Answers

Answer:A

Step-by-step explanation:Yes; the graph passes the vertical line test.

No it is not a function because there are two of the same x values.

can you put this into one sentence The Soviet team dominated the second period. The Americans scored twice in the last period. The Americans finally took the lead.

Also put two of these words in it Although or so unless.

40 points

Answers

the americans scored twice in the last period although the soviet team dominated second period, after that the americans finally took the lead

(this is english not math change your question when you have to do this again)

can someone help. im really confused

Answers

Answer: I think it’s 32

Explanation: on the top there is 3 and 12 and if you multiply 3x4 you get 12 so on the bottom I did 8x4 and got 32. Sorry if it’s wrong I’m not good in math <3

Mia and Mario specialize in producing the item in which she or he has a comparative advantage. Then they trade one pasta dish for one pizza.. Before specialization and​ trade, Mia and Mario produce 6 dishes of pasta and 6 pizzas an hour each. The total gains from specialization and trade are​ ___________

Answers

Answer:

6 pizza, 6 pasta

Step-by-step explanation:

Now from the question we can see that Mia has comparative advantage in Pasta production and Mario in Pizza production.

Now before they both specialized, Mia's production was 6 pizza, 6 pasta. Mario also was making 6 pasta, 6 pizza.

So in total both were making 12 pizza and 12 pasta.

After they had specialized, Mario's pizza production is 18 pizza and Mia's pasta production is 18 pasta.

So we have that mia is producing 6 more pizza, 18-12 = 6

and Mario is also producing 6 more pasta.

So there is net gain of 6 pizza and 6 pasta.

#Please rate positively...thank you

If ‘a’ is any non-zero integer and n is a positive integer, then a x a x a …. x a ( m times ) is written as​

Answers

Answer:

Step-by-step explanation:

a^m.

4+1/2=
me ayudan plis​

Answers

Answer:

9/2 or 4 1/2 or 4.5

Step-by-step explanation:

4+1/2=8/2+1/2=9/2

Answer:

es 4 1/2 creo

Step-by-step explanation:brainliest plis

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