Solve -50x³y²z² divided by ÷5xyz

Find the standard form of the equation of the circle with endpoints of a diameter at the points (3,8) and (-7,2)

poizon [28]

$(x+2)^{2}$ + $(y-5)^{2}$ = 34

The equation of a circle in standard form is

$(x-a)^{2}$ + $(y-b)^{2}$ = $r^{2}$

where (a , b) are the coordinates of the centre and r is the radius

The centre is at the midpoint of the endpoints and the radius is the distance from the centre to either of the 2 endpoints

Using the midpoint formula

midpoint = [ $\frac{1}{2}$ (x $x_{1}$ + $x_{2}$ , $\frac{1}{2}$ ( $y_{1}$ + $y_{2}$

where ( $x_{1}$ , $y_{1}$ =(3,8) and ( $x_{2}$ , $y_{2}$ =(-7,2)

centre = ( $\frac{1}{2}$ (3-7), $\frac{1}{2}$ (8+2)) = (-2,5)

Calculate r using the distance formula

r = √( $x_{2}$ - $x_{1}$ )²+( $y_{2}$ - $y_{1}$ )²)

= √((3+2)²+(8-5)²) = √(25+9) = √34 ⇒ r² =(√34)² = 34

equation of circle is : (x+2)²+(y-5)² = 34

8 0

3 years ago

Tammy scored 88, 72, 44 points on her first three test. What must she score in her last test to get at least an average of 70?

lara [203]

Answer:

76

Step-by-step explanation:

(88+72+44+x)/4=70

88+72+44+x=280

204+x=280

x=76

Therefore, Tammy needs to score a 76 on her last test to get at least an average of 70.

5 0

2 years ago

The table shows the total time it took Samir to read 0,1,2, and 3 pages of the book. The table also list this information as ord

cluponka [151]

Ok, but where is the table???

8 0

3 years ago

Part C

mel-nik [20]

Answer:

Tamara needs to cover a total of 476 square feet.
Tamara will have enough material to cover all four walls.

Step-by-step explanation:

If the room dimensions are 8 1/3 feet by 11 1/2 feet, the perimeter length is ...

P = 2(L+W) = 2(8 1/3 +11 1/2) = 2(19 5/6) = 39 2/3 feet

The area of the walls is the product of this perimeter length and the height of the wall. If that height is 12 feet, then the wall area is ...

A = PH = (39 2/3 ft)(12 ft) = 476 ft²

Tamara needs to cover a total of 476 square feet.

__

If Tamara orders 480 square feet of material, ...

Tamara will have enough to cover all four walls.

6 0

3 years ago

X-5y= -40 18x - 5y = 45 What is the answer to this

baherus [9]

Answer:

(5, 9)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtract Property of Equality

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

x - 5y = -40

18x - 5y = 45

Step 2: Rewrite Systems

18x - 5y = 45

Multiply both sides by -1: -18x + 5y = -45

Step 3: Redefine Systems

x - 5y = -40

-18x + 5y = -45

Step 4: Solve for x

Elimination

Combine equations: -17x = -85
Divide -17 on both sides: x = 5

Step 5: Solve for y

Define equation: x - 5y = -40
Substitute in x: 5 - 5y = -40
Isolate y term: -5y = -45
Isolate y: y = 9

4 0

2 years ago

Solve -50x³y²z² divided by ÷5xyz​

Solve -50x³y²z² divided by ÷5xyz