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3 years ago

In the figure shown below, lines m and n are parallel. What is the value of x? (12x - 8) = 104

Mathematics

1 answer:

Natali5045456 [20]3 years ago

4 0

Answer:

x = 28/3

x = 9.33

Step-by-step explanation:

12x - 8 = 104

+8 +8

12x = 112

divide 112 by 12

x = 28/3 or 9.33

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Convert the equation y + 1 = -3/5 (x+5)

cestrela7 [59]

If you simplify each side of the equation you get this y= -4 - 3x/5

4 0

3 years ago

Which equation represents a line that passes through the point ( 6 , − 3 ) and is parallel to the graph of y = 3 x + 1 ?

Ratling [72]

Answer:

y + 3= 3(x - 6) ← point-slope form

y = 3x - 21 ← slope-intercept form

3x - y = 21 ← standard form

Step-by-step explanation:

The point-slope form of the equation of line it's y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is the point the line passing through.

y=m₁x+b₁ ║ y=m₂x+b₂ ⇔ m₁ = m₂

{Two lines are parallel if their slopes are equal}

y = 3x + 1 ⇒ m₁ = 3 ⇒ m₂ = 3

(6, -3) ⇒ x₁ = 6, y₁ = -3

point-slope form:

y - (-3) = 3(x - 6)

y + 3 = 3(x - 6)

y + 3 = 3x - 18 {subtact 3 from both sides}

y = 3x - 21 ← slope-intercept form

-3x + y = -21 {multiply both sides by (-1)}

3x - y = 21 ← standard form

8 0

3 years ago

What is the equation of a circle with center (-7, -3) and radius 2?

amid [387]

Answer:

B = (x + 7)^2 + (y +3)^2 = 4

Step-by-step explanation:

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4 years ago

Ten children visited Grandma after school for cookies and milk. Grandma divides 1/2 gallon off milk into 10 equal glasses for th

Kisachek [45]

Answer:

Answer should be 1/20

Step-by-step explanation:

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3 years ago

A mixture of 30 pounds of candy sells for $1.10 a pound. The mixture consists of chocolates worth $1.50 a pound and chocolates w

Allushta [10]

Answer: Option 'B' is correct.

Step-by-step explanation:

Number of pounds of candy = 30

Cost per pound = $1.10

Total amount would be

$30\times 1.10\\\\=33$

Let the number of pound that sold at $1.50 per pound be 'x'.

Let the number of pound that sold at 90 cents per pound be '30-x.

According to question, we get that

$1.5x+0.90(30-x)=33\\\\1.5x+27-0.90x=33\\\\1.5x-0.9x=33-27\\\\0.6x=6\\\\x=\dfrac{6}{0.6}=10$

Hence, there are 10 pounds of chocolates worth $1.50 per pound.

Therefore, Option 'B' is correct.

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3 years ago