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3 years ago

Complete the equation of the line through (-8,8) and (1,-10).

Mathematics

1 answer:

Keith_Richards [23]3 years ago

3 0

Answer:

y= -2x-8

Step-by-step explanation:

the slope: m= -2

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Find the area of this parallelogram?

Jet001 [13]

So, the area of a parallelogram is the base times the height or

$a = b \times h$

a being area

b being base

h being height

the height is 8 cm and the base is 15 cm

(remember: the heght should be perpendicular to the base)

so we plug in 8 for h and 15 for b to get

$a = 15 \times 8$

and 15 × 8 = (10 × 8) + (5 × 8) = 80 + 40 =120

So the answer is 120

3 0

3 years ago

-7 2/3 + ( -5 1/2 ) + 8 3/4 = ? A: -4 5/12 B: -21 11/12 C: -4 2/3 D: 6 7/12

frez [133]

Answer:

-4 5\12

Step-by-step explanation:

Identify the Least Common Denominator, 12, then just simply evaluate.

8 0

3 years ago

Which are the solutions of the quadratic equation x2 =-5-3

alexdok [17]

Answer: x = 2 • ± √2 = ± 2.8284

Step-by-step explanation:

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 8 is not a square !!

Ruling : Binomial can not be factored as the difference of two perfect squares.

Equation at the end of step 1 :

x2 - 8 = 0

Step 2 :

Solving a Single Variable Equation :

2.1 Solve : x2-8 = 0

Add 8 to both sides of the equation :

x2 = 8

When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:

x = ± √ 8

Can √ 8 be simplified ?

Yes! The prime factorization of 8 is

2•2•2

To be able to remove something from under the radical, there have to be 2 instances of it (because we are taking a square i.e. second root).

√ 8 = √ 2•2•2 =

± 2 • √ 2

The equation has two real solutions

These solutions are x = 2 • ± √2 = ± 2.8284

Two solutions were found :

x = 2 • ± √2 = ± 2.8284

Not sure what you need help with, but I hope I helped you somehow.

5 0

3 years ago

A satellite flies 55584 miles in 7.72 hours. How many miles has it flown in 23.19 hours?

dedylja [7]

Answer:

Miles flown in 23.19 hours = 166968 miles

Step-by-step explanation:

Given that:

A satellite flies 55584 miles in 7.72 hours

We will find the unit rate first,

Unit rate = $\frac{55584}{7.72}$

Unit rate = 7200 miles per hour

Miles flown in 23.19 hours,

Miles flown = 7200 * 23.19

Miles flown = 166968 miles

Hence,

Miles flown in 23.19 hours = 166968 miles

5 0

3 years ago

Para hacer 600 m de una obra, 30 obreros han trabajado 12 dias a razon de 10 horas diarias. ¿Cuantos dias necesitaran 36 obreros

Gwar [14]

Respuesta:

25 días

Explicación paso a paso:

Dado :

escenario 1

Área = 600 m

Número de días = 12

Número de trabajadores = 30

Tasa = 6

Escenario 2:

Área = 900 m

Número de días = n

Número de trabajadores = 36

Tasa = 6

Igualar los parámetros en cada escenario:

12 / n = 36/30 * 6/10 * 600/900

12 / n = 6/5 * 3/5 * 2/3

12 / n = 6/5 * 1/5 * 2/1

12 / n = 12/25

12 * 25 = 12n

300 = 12n

n = 300/12

n = 25 días

7 0

3 years ago