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2 years ago

What is the slope for a line that is perpendicular to the line x = -6?

Mathematics

1 answer:

VARVARA [1.3K]2 years ago

8 0

Answer:

There is not a slope perpendicular to the lie x = -6

Step-by-step explanation:

In this equation, you are given a line, x = -6.

This is in fact a line with an undefined slope. The slope for a perpendicular intersection is the opposite reciprocal of the slope.

Eg. If you have the line y = 2x

The reciprocal is y = 1/2x, the opposite means negative

So the slope that would intersect this line perpendicularly is y = -1/2x.

There is an undefined slope in this, therefore, you cannot find the slope for a line perpendicular to x = -6.

If it were an option, I would choose "no slope"

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Maria and Katy each have a piece of string. When they put the two pieces of string together end to end, the total length is 84in

Serga [27]

Answer: the length of Maria's piece of string is 45 inches.

the length of Katy's piece of string is 39 inches

Step-by-step explanation:

Let x represent the length of Maria's piece of string.

Let y represent the length of Katy's piece of string.

When they put the two pieces of string together end to end, the total length is 84inches. This means that

x + y = 84 - - - - - - - - - - - -1

Maria's string is 6 inches longer than Katy's. This means that

x = y + 6

Substituting x = y + 6 into equation 1, it becomes

y + 6 + y = 84

2y + 6 = 84

2y = 84 - 6 = 78

y = 78/2 = 39

x = y + 6 = 39 + 6

x = 45

8 0

3 years ago

Describe how you would convince a friend that sin(x + y) does not equal sin x + sin y.

Citrus2011 [14]

Answer:

Step-by-step explanation:

PEMDAS

anything done in the parentheses comes first

so you have to add first then multiply

this is not the distributive property unless the two numbers in parentheses are not like terms

4 0

2 years ago

What is the slope of the line through the points (-2, -1) and (4, 3)?

Natalka [10]

Answer:

#2 option: $\frac{2}{3}$

Step-by-step explanation:

$slope=\frac{rise}{run} =\frac{y^2-y^1}{x^2-x^1}$

$\frac{3-(-1)}{4-(-2)}=\frac{-4}{-6} =\frac{-2}{-3} =\frac{2}{3}$

= $\frac{2}{3}$

8 0

2 years ago

Use the method from the Example to approximate the solution to the equations below to two decimal places.

STALIN [3.7K]

Answer:

x = 3.85

Step-by-step explanation:

Given equation:

6ˣ = 1,000

now,

on taking log both sides, we get

⇒ log(6ˣ) = log(1,000)

⇒ log(6ˣ) = log(10³)

now we know the property of log function that

log(aᵇ) = b × log(a)

thus, applying the above property, we get

⇒ x × log(6) = 3log(10)

⇒ x × log(2×3) = 3log(10)

now,

we have another property of log function as":

log(A) = log(A) + log(B)

therefore,

x × [log(2) + log(3)] = 3log(10)

also,

log(10) = 1

log(2) = 0.3010

log(3) = 0.4771

Thus,

⇒ x × [0.3010 + 0.4771 ] = 3 × 1

⇒ x × 0.7781 = 3

⇒ x = 3.85

3 0

2 years ago

What is tge total surface area of a solid sphere of diameter 14cm

Alborosie

The surface area of a sphere of radius r is A = 4π*r^3.

Since the radius in this case is 7 cm (half the 14 cm diameter), the area of this sphere is

A = 4π(7 cm)^2, or 196π cm^2.

7 0

3 years ago