line k passes through the points (-12, 10) and (6, 1) line l is perpendicular to line k with y-intercept 6 find the x-intercept of line l

Answers

Answer 1

The line l which is perpendicular to line k has an x intercept of -3.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

The standard equation of a line is:

y = mx + b

where m is the slope and b is the y intercept.

Line k passes through the points (-12, 10) and (6, 1), hence:

Slope = (1 - 10) / (6 - (-12)) = -1/2

Two lines are perpendicular if the product of their slopes is -1. Line L is perpendicular to line k, with y-intercept 6. hence:

Slope of line l = 2

Equation of line l is:

y = 2x + 6

At y = 0:

0 = 2x + 6

x = -3

The line l which is perpendicular to line k has an x intercept of -3.

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Related Questions

Jonathan earns $250 plus $40 for every house he paints

Answers

Answer:

250 + 40x

Step-by-step explanation:

x = every house he paints .

im not sure what you want but in case its an equation , here you go .

Answer:

250 + 40x

Step-by-step explanation:

literally what the dude above me said heh

y varies directly as x. Describe how the value of y
changes when the value of x is tripled.

Answers

Answer: When x is tripled, y will be tripled.

Step-by-step explanation:

     Since y varies directly as x, whatever happens to x will happen to y. This means that if x is tripled, y will also be tripled.

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The table shows the elevation above sea level of the lowest and highest points in the United States.
Location
Death Valley
Mount McKinley/Denali
Elevation Above Sea Level (feet)
-282
20,310
Choose three correct statements.
A. Death Valley is -282 feet below sea level.
B. Death Valley is 1-2821 feet below sea level.
C. Death Valley is 1-2821 feet above sea level.
D. Mount McKinley/Denali is 120, 310| feet below sea level.
E. Mount McKinley/Denall is-120, 3101 feet below sea level.
F. Mount McKinley/Denali is 1-20, 3101 feet above sea level.

Answers

Location Death Valley, Mount McKinley/Denali Elevation Above Sea Level (feet), then the statement B , statement E , statement F are correct.

Death Valley is |-282| feet below sea level. Mount McKinley/Denali is |-20, 310| feet below sea level.Mount McKinley/Denali is |-20, 310| feet above sea level.

These three statements are correct.

The table shows the elevation above sea level of the lowest and highest points in the United States.

Location Death Valley

Mount McKinley/Denali

Elevation Above Sea Level (feet)

So, we can write,

Death Valley is |-282| feet below sea level.Mount McKinley/Denali is |-20, 310| feet below sea level.Mount McKinley/Denali is |-20, 310| feet above sea level.

You are subtracting the two numbers. Note however, that 282 feet below the sea level = -282

Subtract.

⇒ 20310 - (-282)

Note that two negatives = one positive

⇒ 20310 + 282

⇒ 20592 feet

Therefore, The statement B , statement E , statement F are correct.

Hence,

Death Valley is |-282| feet below sea level. Mount McKinley/Denali is |-20, 310| feet below sea level.Mount McKinley/Denali is |-20, 310| feet above sea level.

These three statements are correct.

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Record your answers on the answer sheet provided by your teacher or on a sheet of paper.
Suppose line l contains points A, B , and C , If A B=7 inches, A C=32 inches, and point B is between points A and C , what is the length of BC? Express your answer in inches.

Answers

Length of BC is 25 inches.

Here,

Line l contains points A, B and C.

A B =7 inches, A C = 32 inches, and point B is between points A and C.

We have to find the length of BC in inches.

What are Collinear points?

If two or more points are lie on a straight line then points are called Collinear points.

Now,

Line l contains points A, B and C.

Point B is between points A and C.

Length of A B = 7 inches and A C = 32 inches

Hence, Length of BC = Length of AC - Length of A B

                                 = 32 - 7 = 25 inches.

Therefore, Length of BC is 25 inches.

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The arithmetic mean of two terms in an arithmetic sequence is -6 . One term is -20 . Find the other term.

Answers

The other term is +8.

How to find the other term?

A recursive formula is one that defines each term in a sequence by reference to the one before it. The following parameters are defined using the recursive formules:

1. The initial term in the series.

2. The general rule for determining any term from its preceding term.

Formula for the Arithmetic Mean

The ratio of the sum of the items to the total number of items is the arithmetic mean, which is the simplest way to measure central tendency.It is regarded as the most accurate way to measure central tendency. The distribution of the data and the intended use of the data both influence the average that is chosen.

[tex]arithmetic \: mean = \frac{a1 + a2 + a3 + a4 + a5 + .........an}{n} [/tex]

given that

The arithmetic mean of two terms in an arithmetic sequence is -6.One term is -20 .

now, find the other term

[tex]arithmetic \: mean = \frac{a + b}{ 2} [/tex]

[tex] - 6 = \frac{( - 20) + b}{2} [/tex]

[tex]2 \times - 6 = - 20 + b[/tex]

[tex] - 12 + 20 = b[/tex]

[tex]b = 8[/tex]

Hence,the other term is +8.

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Two tents are in the shape of hemispheres, with circular floors. The ratio of their floor areas is 9: 12.25 . If the diameter of the smaller tent is 6 feet, what is the volume of the larger tent? Round to the nearest tenth.

Answers

The volume of the larger tent in the shape of hemispheres, with circular floors, is 89.8 cubic feet.

If the diameter of the smaller tent is 6 feet, then its radius is 3 feet. Solving for the area of its circular floor,

A = πr^2

A = π(3 feet)^2

A = 9π square feet

Using the ratio of the floor areas of the two tents, calculate the area of the circular floor of the larger tent.

9 : 12.25 = 9π square feet : x

where x = area of the circular floor of the larger tent

9x = 12.25(9π)

x = 12.25 π square feet

If the area of the circular floor of the larger tent is 12.25 π square feet, then solving for its radius,

A = πr^2

12.25 π square feet = πr^2

r = 3.5 feet

Hemisphere refers to half of a sphere and its volume is given by the formula V = 2/3πr^3, where r is the radius.

V = 2/3πr^3

V = 2/3 π (3.5 feet)^3

V = 89.79719002 cubic feet

Rounding off to the nearest tenth.

V = 89.8 cubic feet

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Simplify.
2 + 8 - 2 [32 + 5 (1 + 2)]}

Answers

Your answer should be - 84.

Explanation:

Starting equation: [tex]2\:+\:8\:-\:2\:\left[32\:+\:5\:\left(1\:+\:2\right)\right][/tex]

-Calculate within parentheses [32 + 5 (1+2)] = 47.

Remaining equation: 2 + 8 - 2 x 47

-Multiply and divide (left to right) 2 x 47 = 94

Remaining equation: 2 + 8 - 94

-Add and subtract (left to right) 2 + 8 - 94 = -84

Your final answer is -84

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Hope this helps!

Have a great day and God bless! :)

Write a relationship for a function whose hx values are 6 less than the cube of x

Answers

The mathematical expression from the algebraic expression is a x^3 - 6.

According to the statement

We have to find that the expression of the statement in the mathematical form.

So, For this purpose, we know that the

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

From the given information:

The hx values are 6 less than the cube of x

Then

To convert into the mathematical form:

The cube of the x is in the mathematical form is a x^3

Then

And the 6 less than the cube

And in the mathematical form it becomes the

x^3 - 6.

So, The mathematical expression from the algebraic expression is a x^3 - 6.

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3x3 what is the sum to this..?

Answers

Answer:

9

Step-by-step explanation:

3x3=9

Answer:

the sum is 9

Step-by-step explanation:

3×1=3

3×2=6

3×3=9

If $9237.05 is put into an account paying %8.82/ a compounding yearly, how much interest will be earned after 16.7 years?

Answers

Answer:

$28,656.82

Step-by-step explanation:

I used the compound interest calculator

A = P(1 + r/100)ⁿ

where A = amount accrued, P = investment amount r = rate% and n = number of years

r = 8.82% = 8.82/100 = 0.082 so 1 + r/100 = 1.0882

[tex]\\A = P(1.0882)^{16.7} = \$37,893.87\\\\\mathrm {Interest} = \$37,893.87 - \$9237.05 = \$28,656.82[/tex]

Answer:

$28,656.82

Step-by-step explanation:

Annual Compound Interest Formula

[tex]\large \text{$ \sf I=P\left(1+r\right)^{t} -P$}[/tex]

where:

I = Total interest earned.P = Principal amount invested.r = Interest rate (in decimal form).t = Time (in years).

Given:

P = $9237.05r = 8.82% = 0.0882t = 16.7 years

Substitute the given values into the formula and solve for I:

[tex]\implies \sf I=9237.05(1+0.0882)^{16.7}-9237.05[/tex]

[tex]\implies \sf I=9237.05(1.0882)^{16.7}-9237.05[/tex]

[tex]\implies \sf I=9237.05(4.1023777...)-9237.05[/tex]

[tex]\implies \sf I=37893.8685...-9237.05[/tex]

[tex]\implies \sf I=28656.8185...[/tex]

Therefore, the amount of interest that will be earned after 16.7 years is $28,656.82 (nearest cent).

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how do i subtract inteargers

Answers

Answer:

You remove the difference between the two numbers from each other. E.g., 5-2=3, and 6-4=2.

Step-by-step explanation:


identify the inequalities A, B , and C for which the given ordered pair is a solution.
A. x+y ≤ 2

B. y ≤ (3/2)x-1

C. y>-(1/3)x-2

(-8,-11)

Answers

The inequality y ≤ (3/2)x-1 satisfies the point (-8, -11) option (B) y ≤ (3/2)x-1 is correct.

What is inequality?

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

It is given that:

The point is (-8, -11)

As we have inequalities shown in the option:

After plotting the inequality in the graph:

From the graph, the point lies in the solution region of the inequality y ≤ (3/2)x-1 which means the point (-8, -11) satisfies the inequality.

Thus, the inequality y ≤ (3/2)x-1 satisfies the point (-8, -11) option (B) y ≤ (3/2)x-1 is correct.

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Solve. Find the area of a pantry shelf that measures 3 yards by 3/7 yard.

Answers

Answer:

The answer is 9/7 yards.

Multiply Which equation is the best choice

Answers

Answer:

second option

Step-by-step explanation:

(2 [tex]\frac{4}{5}[/tex] )( - 5 [tex]\frac{2}{3}[/tex] ) ← convert mixed numbers to improper fractions

= [tex]\frac{14}{5}[/tex] × - [tex]\frac{17}{3}[/tex]

= - [tex]\frac{14(17)}{5(3)}[/tex]

= - [tex]\frac{238}{15}[/tex]

= - 15 [tex]\frac{13}{15}[/tex]


Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.

Answers

To solve problems, construct one-variable equations and inequalities.

How to use them to solve problems?

As opposed to an inequality, which links two different values, an equation declares that two expressions are equal.

Create one-variable equations and inequalities, then utilize them to solve issues.

Include simple rational and exponential equations as well as those resulting from linear and quadratic functions.

In order to answer word problems, students should be able to decipher them and create equations and inequalities.

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Which set of numbers are imaginary numbers?

Answers

Answer:

the third option contains imaginary numbers

Step-by-step explanation:

Imaginary numbers are the numbers when squared it gives the negative result. In other words, imaginary numbers are defined as the square root of the negative numbers where it does not have a definite value. It is mostly written in the form of real numbers multiplied by the imaginary unit called “i”. so we can express them as follows; √-2 = √-1 × √2 = √2 i.... √-1 = i

√-9 = √-1 × √9 = 3i

what is the answear for 4a+6b+3a+8b

Answers

Step-by-step explanation:

4a+3a+6b+8b

7a+14b ......

SOLVING

================================================

[tex]4a+6b+3a+8b\\4a+3a+6b+8b\\7a+14b[/tex]<---- SOLUTION

================================================

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[tex]\textcopyright ELIZA[/tex]


Write a coordinate proof to prove that Δ A B C is an isosceles triangle if the vertices are A(0,0), B(a, b) , and C(2 a, 0) .

Answers

An isosceles triangle is one with two equal-length sides. ΔABC is an isosceles triangle.

What is the distance between two points ( p,q) and (x,y)?

The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

D = √[(x-p)² + (y-q)²] units.

Given that the coordinates of the vertices of the triangle are A(0,0), B(a, b), and C(2a, 0). Now, to prove that the given triangle is an isosceles triangle we need to find the length of each side of the triangle.

AB = √[(x₂-x₁)² + (y₂-y₁)²]

     = √[(a - 0)² + (b - 0)²]

     = √(a² + b²)

BC = √[(x₂-x₁)² + (y₂-y₁)²]

     = √[(2a - a)² + (0 - b)²]

     = √(a² + b²)

AC = √[(x₂-x₁)² + (y₂-y₁)²]

     = √[(2a - 0)² + (0 - 0)²]

     = √4a²

     = 2a

Since the length AB and BC are the same, while the length of AC is different, therefore, ΔABC is an isosceles triangle.

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What can you say about and based on the sum of their angles? How are the angles related?

Answers

Answer: Do you have a picture of the problem so it will be more sense?

Step-by-step explanation:

help I'll mark brainliest ​

Answers

Answer:

2 + (-7) = -5

Step-by-step explanation:

The arrow pointing down is telling you to add a negative. You cannot add positive numbers and get a negative number as your answer.

Taking away -7 from 2 gives you -5

What sets (types or categories) of numbers do we use as the input to functions that represent sequences?

Answers

Answer:

electrical is a good servant but master


Determine whether the following statement is always, sometimes, or never true. Explain your reasoning.

Answers

When using the distributive property, if the term outside the parentheses is negative, then the sign of each term inside the parentheses will change: Always TRUE

What do we mean by distributive property?The distributive property of binary numbers in mathematics generalizes the distributive law, which states that equality is always true in elementary algebra. In elementary arithmetic, for example, one has According to one, multiplication distributes over addition.If the term outside the parenthesis is negative when using the distributive property, the sign of each term inside the parentheses will always change.

Example can be: -1(27 - 55) = -27 + 55

It is because of the following reason that when we multiply two numbers:

(positive number (+)) × (positive number (+)) = (positive number (+))(positive number (+)) × (negative number (-)) = (negative number (-))(negative number (-)) × (positive number (+)) = (negative number (-))(negative number (-)) × (negative number (-)) = (positive number (+))

Therefore, the statement "when using the distributive property, if the term outside the parentheses is negative, then the sign of each term inside the parentheses will change" is Always TRUE.

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The complete question is given below;
Determine whether the following statement is always, sometimes, or never true. Explain your reasoning. When using the distributive property, if the term outside the parentheses is negative, then the sign of each term inside the parentheses will change.

Suppose two boxes of cereal contain the same amount of ounces but cost different amounts. Without computing, how can you determine which Siri will cost more per ounce of cereal? Explain.

Answers

Answer:

The one that costs more.

Step-by-step explanation:

Because you already know that they have the same volume (amount of ounces) and they are different prices, whichever one is more expensive has the higher cost per ounce. {You don't need to solve for a ratio or anything because they have the same number of ounces!!!}

Answer: If the number of ounces are the same, then the box that costs more will also cost more per ounce.

96240 is divisible by 2,3,5,10 true or false

Answers

True

It's true, 96240 is divisible by 2,3,5,10

Hope this helps!


State whether the sentence is true or false. If false, replace the underlined term to make a true sentence.
Determining the arrangement of people around a circular table would require circular permutation.

Answers

True, Determining the arrangement of people around a circular table would require circular permutation.

In statistics, what does a probability mean?

The probability serves as a gauge for how likely an event is to occur. It gauges how likely an event is. P(E) = Number of Favorable Outcomes/Number of Total Outcomes is the formula for probability.Mathematics' study of random events is known as probability, and there are four primary types of probability: axiomatic, classical, empirical, and subjective. Since probability is the same as possibility, you could say that it is the likelihood that a specific event will occur.

True, Determining the arrangement of people around a circular table would require circular permutation.

It happens that there are only two ways we can seat three people in a circle, relative to each other's positions.

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Square root of 9 =3=3=3 and 1 half + 1 half

Answers

Nah the square root of 9 is 3

Claire mowed 5 lawns last week. She mowed each lawn in seven eighteenths hour. She mowed the same lawns this week in five eighteenths hour each using her new lawn mower. How many times longer was Claire’s time to mow all the lawns

Answers

5/6 hour or 50 minutes

Using the Factor Theorem, which of the following is a factor of the polynomial function f (x) = 5x3 + 5x2 – 60x?

x – 4
x + 4
x – 5
x + 3

Answers

The factors of the given polynomial function are 5x(x+4)(x-3). Therefore, option B is the correct answer.

The given polynomial function is f (x) = 5x³ + 5x² – 60x.

What is the Factor Theorem?

The factor theorem states that if f(x) is a polynomial of degree n greater than or equal to 1, and 'a' is any real number, then (x - a) is a factor of f(x) if f(a) = 0. In other words, we can say that (x - a) is a factor of f(x) if f(a) = 0.

Using factor theorem 5x³ + 5x² – 60x=0

⇒ 5x(x²+x-12)=0

⇒ (x²+x-12)=0

Using the splitting middle method we can factorise x²+x-12=0

That is, x²+4x-3x-12=0

⇒ x(x+4)-3(x+4)=0

⇒ (x+4)(x-3)

The factors of the given polynomial function are 5x(x+4)(x-3). Therefore, option B is the correct answer.

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Answer:

(x-4)

Step-by-step explanation:


Use the fact that a/b / c/d = a/b ÷ c/d to simplify each rational expression. State any restrictions on the variables.
9m + 6n / m² n² / 12m + 8n/5 m²

Answers

The answer is 15/4n2

Two different tests to write k/4 +16

Answers

Step-by-step explanation:

\begin{gathered}6x - 2y = 6 \\ 6x = 6 + 2y \\ x = \frac{6 + 2y}{6} \end{gathered}

6x−2y=6

6x=6+2y

x=

6

6+2y

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