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3 years ago

Using the Distance formula, Classify the Following Triangle. A(7, -2) B(-4, 9) C(-3,-1)

Mathematics

1 answer:

nadezda [96]3 years ago

8 0

A(7, -2) B(-4, 9) C(-3,-1)

AB² = (7 - -4)² + (9 - -2)² = 121 + 121 = 242

AC² = (7 - -3)² + (-2 - -1)² = 100 + 1 = 101

BC² = (-3 - -4)² + (9 - -1)² = 1 + 100 = 101

Since AC² + BC² ≠ AB² this isn't a right triangle

It is clearly an isosceles triangle because AC² = BC²

Answer: Isosceles

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Find the area of each parallelogram plz help

xxTIMURxx [149]

Answer: The area of the parallelogram is:
_______________________________________________________
$\frac{9393}{8}$ in² = 1174 ⅛ in² = 1174.125 in² .
_______________________________________________________
Explanation:
_______________________________________________________
Area of a parallelogram:
_______________________________________________________
A = base * height = b * h ;

From the figure (from the actual "question"):
_______________________________________
b = 50.5 in.

h = 23.25 in.
____________________________________________________________
Method 1) A = b * h =

= (50.5 in) * (23.25 in) = 1174.125 in² ; or, write as: 1174 ⅛ .
____________________________________________________________
Method 2) A = b * h =

= (50 ½ in) * (23 ¼ in) =

= ( $\frac{101}{2}$ in) * ( $\frac{93}{4}$ in) ;
___________________________________________________________
Note: "50 ½ " = [(50*2) + 1 ] / 2 = $\frac{101}{2}$ ;

Note: "23 ¼ " = [(23*4) + 1 ] / 4 = $\frac{93}{4}$ ;
____________________________________________________________
→ A = ( $\frac{101}{2}$ in) * ( $\frac{93}{4}$ in) ;

→ A = $\frac{(101*93)}{(2*4)}$ in² = $\frac{9393}{8}$ in² ;

→ A = (9393/8) in² =

→ A = $\frac{9393}{8}$ in² = 1174 ⅛ in² = 1174.125 in² .
________________________________________________________

5 0

3 years ago

Solve the equation. x² =96 A 4/6 B 16/6 C 9 D 9,-9

alexgriva [62]

Answer:

x = ± 4 $\sqrt{6}$

Step-by-step explanation:

Given

x² = 96 ( take the square root of both sides )

x = ± $\sqrt{96}$ = ± $\sqrt{16(6)}$ = $\sqrt{16}$ × $\sqrt{6}$ = ± 4 $\sqrt{6}$

3 0

4 years ago

(3x + 1/2 ) + ( 7x - 4 1/2 ) simply the expression

ololo11 [35]

(3x + 1/2 ) + ( 7x - 4 1/2 )

3x+7x + 1/2 - 4 1/2

10x -4

5 0

4 years ago

A theater contains 460 seats and the ticket prices for a recent play were $52 for adults and $26 for children. If the total proc

Vlada [557]

Answer:

The answer to your question is There were sold 166 adult tickets and 294

children tickets.

Step-by-step explanation:

Data

Total number of seats = 460

cost for adults = a = $52

cost for children = c = $26

Total cost = $16276

Process

1.- Write equations to solve this problem

a + c = 460 Equation l

52a + 26c = 16276 Equation ll

2.- Solve the system of equation by substitution.

-Solve equation l for a

a = 460 - c

-Substitute a in equation ll

52(460 - c) + 26c = 16276

-Expand

23920 - 52c + 26c = 16276

-Simplify

-26c = 16276 - 23920

-26c = -7644

c= -7644/-26

c = 294

3.- Find a

a = 460 - 294

a = 166

8 0

3 years ago

Read 2 more answers

Find the measure of <4. { 44 158° { 44 = [?]

VLD [36.1K]

Answer:

<4 = 22

Step-by-step explanation:

<4 = x

x + 158 = 180

x = 22

4 0

3 years ago

Using the Distance formula, Classify the Following Triangle. A(7, -2) B(-4, 9) C(-3,-1)​

Using the Distance formula, Classify the Following Triangle. A(7, -2) B(-4, 9) C(-3,-1)