Given ABC with A(0, 0), B(2, 3),
and C(4,0), prove ABC is isosceles

Answers

Answer 1

Step-by-step explanation:

1. if to calculate the length of AB; AC and BC, then:

[tex]|AB|=\sqrt{(2-0)^2+(3-0)^2} =\sqrt{13}.[/tex]

[tex]|AC|=\sqrt{(4-0)^2+(0-0)^2} =4.[/tex]

[tex]|BC|=\sqrt{(2-4)^2+(0-3)^2}= \sqrt{13}.[/tex]

2. if to compare the calculated lengths, then:

AB=BC. It means the given triangle is isosceles.


Related Questions

Find the value of x.
4x + 5
2x + 21, smby help me wit dis pls

Answers

Answer: x = 8

Step-by-step explanation:

4x + 5 = 2x + 21

4x + 5 - 2x = -2x + 2x +21 (Subtract 2x from both sides)

2x + 5 = 21

2x + 5 - 5 = 21 - 5 (Subtract 5 from both sides)

2x = 16

2x/2 = 16/2 (Divide both sides by 2)

x = 8

PLEASE ANSWER ASASP!
4(c -3) = 8
what is c?

Answers

Answer:

c=5

hope it helps....,

Answer: c=5

Step-by-step explanation:

4(c -3) = 8

4c - 12 =8

4c = 20

c = 5

Dave leaves his house and bikes directly east for 3 miles. He then turns and bikes directly
south for 4 miles. How many miles is Dave from his house?

Answers

Answer:

12

Step-by-step explanation:

The slope of the line below is -1/7. Write a point-slope equation of the line
using the coordinates of the labeled point.

Answers

Answer:

D

Step-by-step explanation:

It’s d

PLEASE HELP!!!! ❗❗❗❗❗❗❗
I NEED THE ANSWER TO THIS ASAP!!! PLS HELP!!! question below ;-;

the track team is trying to reduce their time for a relay race. First they reduced their time by 2.1 minutes. Then they are able to reduce that time by 1/10. If their final time is 3.96 minutes, what was their beginning time? Show or explain your reasoning.

Answers

Answer:

6.27 minutes

Step-by-step explanation:

3.96+2.1=6.06

1/10=0.1x2.1=0.21+6.06=6.27

Solve the equation y=10x + 28.75

Answers

Answer:

x=y/10-2.875

slope=10

y= (0,28.75)

Standard form; 40x-4y=-115

Step-by-step explanation:

Not sure which answer you're looking for, but hope this helps!

5-4x=23
What's the value of x and please show your work. ​

Answers

Answer:

x = 9/2 or 4.5

Step-by-step explanation:

5-4x=23 |-5

5-4x-5=23-5

-4x=18 |*(-1)

4x=18 | /2

2x=9 |/2

x=9/2 or 4.5

Answer:

x = 4.5

Step-by-step explanation:

Subtract 5 from BOTH sides to start with:

5-5 = 0 (5 cancels out on left side) 23-5 = 18

New Equation: -4x = 18

Divide BOTH sides by -4

4 cancels out (x is left) 18/4 = 4.5

New: x = 4.5

Please help me......

Answers

B is your answer there all the same

Divide 6,580 ÷ 31
A.212 r 2
B.212 r8
C.214 r2
D.214 r 8

Answers

Your answer to the question is C.214 R2 hope you get it right

Which pair shows equivalent expressions? (a) 2(2/5x+2)=2 2/5 x+1 (B) 2(2/5x+2) = 2/5x+4 (C) 2(2/5x+2) =2/5x+2 (D) 2(2/5x+2) =2 2/5x+8

Answers

Answer: C) 2(2/5x+2) =2/5x+2 this would be the answer.

Step-by-step explanation:

Answer is c because 2(2/5x+2) = 2/5x+2

5. 3y(4 + 5x) *
(1 Point)
12y + 15x
12y + 15xy
4 + 15x

Answers

Answer:

The answer should be 12y+15xy

Step-by-step explanation:

Answer:

12y+15yx

Step-by-step explanation:

i need help asap pls and thnx you

Answers

Answer:

[tex]z^{3}[/tex] or C

Step-by-step explanation:

Substitute x=5y into the expression -3x + 11 and simplify

Answers

Answer:

-15y+11

Step-by-step explanation:

-3(5y)+11

-15y+11

a card is picked at random
from a pack of 52 playing
cards. what is the probobility
of selecting a spade ​

Answers

Answer:

1/4

Step-by-step explanation:

the probability  of selecting a spade: 14/52 = 1/4

please give correct answer <3 :(

Answers

Answer:

216g^3

Step-by-step explanation:

6g^3 g^3

6g^3 = 6g * 6g * 6g = 216g^3

Answer:

[tex]216g^{3}[/tex]

Step-by-step explanation:

6^3 x g^3=

6^3=216

216g^3

how many solutions does 4x8y=-8 x=-2y+1 have

Answers

Answer:

It has no solution

Step-by-step explanation:

I tried to figure it out but I got no solution

Which can provide the most energy in an ecosystem?

a mushroom ,a coyote, a pine tree ,a grassy meadow

Answers

A pine tree because when the pine cones fall they drop seeds with them so if another pine tree grows double the energy. Hope this helps I might be wrong

If there are 27 students in one class,
how many are there in 5 classes?

Answers

Answer:

the answer I got is 135 if you multiply 27 times 5

A basketball player makes 145 out of 180 free throws. We would estimate the probability that the player makes the next throw to be

Answers

They made 80% of those the probability is 29/36

does someone know the correct answer?

Answers

Answer:

C

Step-by-step explanation:

The correct answer is Letter c


The ratio using a colon is

Answers

a ratio?

What numbers a provided

how do you solve -5 ( -6 - 3x) + 8 = 83

Answers

Answer:

x=3

Step-by-step explanation:

-5(-6-3x)+8=83

Distribute the -5 to both terms in the parentheses by multiplication, multiply the -5 by the -6 and the -3x.

30+15x+8=83

Add like terms, add the 30 and the 8.

38+15x=83

Subtract 38 from both sides to isolate the x on the left side.

15x=45

Divide by 15 on both sides to solve for x.

x=3

Jiyoung spent $82 at Uniqlo on shirts and shorts. She lost the receipt but knows that the shirts are
$11 each, and the shorts were $9 each. If Jiyoung bought 5 shirts, how many shorts did she buy?

Answers

its 3 shorts

Step-by-step explanation:

11×5= 55 82-55= 27 27÷9= 3

Answer:

Step-by-step explanation:

Given this information, we can set up an equation

[tex]11x + 9y = 82[/tex], where x is the amount of shirts bought, and y is the amount of shorts bought. Since we know she bough 5 shirts, we can replace x with 5

[tex]11 (5) + 9y = 82[/tex]   Now, we have to find for y.

Step 1. Simplify

[tex]55+9y=82[/tex]

Step 2. Subtract 55 from both sides

[tex]55-55+9y=82-55\\9y=27[/tex]

Step 3. Divide both sides by 9

[tex]\frac{9y}{9}=\frac{27}{9}\\y=3[/tex]

If y = 3, this means that Jiyoung bought 3 shorts.

Help me please thanks

Answers

Answer:

y=x+4

Step-by-step explanation:

Slope intercept is y= mx+b

The slope is rise/run or change in y/change in x. Here the slope is 1 since when y goes up1, x goes to the right 1 (1/1=1).

The y intercept is 4 since it hits the y axis at 4.

so it would be y= 1x+4 which is y=x+4

1.4(X + 3) *

[
4x + 3
X + 12
4x + 12

Answers

Answer:

4x + 12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Step-by-step explanation:

Step 1: Define

4(x + 3)

Step 2: Expand

Distribute 4:                     4(x) + 4(3)Multiply:                            4x + 12

Answer:

[tex] \huge4(x + 3) = 4x + 12[/tex]

4x+12 is the right answer.

5/6 / 1/3 equals what ​

Answers

Answer:

[tex]\frac{5}{2}[/tex]

Step-by-step explanation:

Division of Fractions

Dividing fractions can be done in several forms. We'll use here the reciprocal of the denominator method.

Given the fractions:

[tex]\frac{a}{b}[/tex]

[tex]\frac{c}{d}[/tex]

The division:

[tex]\displaystyle \frac{ \frac{a}{b}}{ \frac{c}{d}}[/tex]

can be done by multiplying by the reciprocal of the denominator:

[tex]\displaystyle \frac{ \frac{a}{b}}{ \frac{c}{d}}=\frac{a}{b}\cdot\frac{d}{c}[/tex]

We are given the fractions 5/6 and 1/3. Their division is:

[tex]\displaystyle \frac{ \frac{5}{6}}{ \frac{1}{3}}=\frac{5}{6}\cdot\frac{3}{1}[/tex]

Simplifying:

[tex]\frac{5}{6}\cdot\frac{3}{1}=\frac{5}{2}[/tex]

Answer: [tex]\mathbf{\frac{5}{2}}[/tex]

Which math expression means "the product of an unknown number and 110"? O A. x+110 B. X. 110 C. X-110 D. x+ 110 please help me i give you 20 points and follow you​

Answers

Answer:

x*110

Step-by-step explanation:

Answer:

It is B: x * 110

Step-by-step explanation:

what is the solution 2x-y=-2 2x+4y=8

Answers

Answer:

The answer is

x is 0

y is 2

Step-by-step explanation:

2x-y=-2

-2x-4y=-8

 -5y=-10

y=2

2x-2=-2

2x=0

x=0

PLEASE ANSWER ASAP!!!!!!!!!!!!
Solve the problem:
7 ( w + 3)
whats w?

Answers

Answer:

3

(the w is a variable, or a placeholder for the unknown)

Step-by-step explanation:

Distribute:

7*w =7w

7*3=21

so now you have 7w+21

Divide:

now you would divide 21 and 7w by 7, the 7 would get canceled out, so you are left with 21/7 which equals 3

composite numbers to 30

Answers

Answer:

4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, Step-by-step explanation:

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