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3 years ago

What is the equation of a line that passes through (1,2) and is perpendicular to the given line?

Mathematics

1 answer:

fredd [130]3 years ago

6 0

Answer:

Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. the equation of the line is y = ½x + 6.

Step-by-step explanation:

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ANSWER IF YOU LOVE YOUR LORD!!!! Which graph represents the solution to: 2k+8<5k-1?

Leviafan [203]

Answer:

Third graph

Step-by-step explanation:

First, find the solution to the equation of inequality given.

2k + 8 < 5k - 1

Subtract 5k from both sides

2k + 8 - 5k < 5k - 1 - 5k

-3k + 8 < -1

Subtract 8 from both sides

-3k + 8 - 8 < -1 - 8

-3k < -9

Divide both sides by -3. (Note: < will change to > when dividing both sides with negative number)

$\frac{-3k}{-3}$ > $\frac{-9}{-3}$

k > 3

The graph that will represent this solution will show that all values of k are greater than 3. 3 is not included as a solution. The "o" on top of the 3 on the number line won't be shaded to indicate that 3 is not included. And also, the arrow will point from 3 towards our right.

Therefore, the 3rd graph is the answer.

3 0

3 years ago

SERIOUS MATH HELP PLEAZE<br> SHOW WORK OR AN EXPLANATION<br> HELPPPPPPPPPPPP

Natali5045456 [20]

Answer:

x=3

Step-by-step explanation:

x^2 = 6x - 9

Subtract 6x from each side

x^2 -6x = -9

Add 9 to each side

x^2 -6x+9 = 0

Factor

what 2 numbers multiply to 9 and add to -6

-3*-3 = 9

-3+-3 =-6

(x-3)(x-3) = 0

Using the zero product property

x-3 =0 x-3=0

x=3 with multiplicity 2

4 0

3 years ago

Let h = for 0   0.01 m, and h = for   0.01 m. (a) find j everywhere. (b) what is j at  = 0? (c) is there a filamentary cu

Katarina [22]

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4 0

3 years ago

Is this a quadratic function 2x+13=13

lys-0071 [83]

Answer:

Step-by-step explanation:

Simplifying

2x + 13 = 0

Reorder the terms:

13 + 2x = 0

Solving

13 + 2x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-13' to each side of the equation.

13 + -13 + 2x = 0 + -13

Combine like terms: 13 + -13 = 0

0 + 2x = 0 + -13

2x = 0 + -13

Combine like terms: 0 + -13 = -13

2x = -13

Divide each side by '2'.

x = -6.5

Simplifying

x = -6.5

7 0

2 years ago

Cheryl is moving to a new house. Her old house is 3 kilometers and 457meters from her new house. How many meters is her old hous

MrRissso [65]

Answer:

Her old house is 3000m+457m = 3457m from her new house.

Step-by-step explanation:

Conversion of units problems can always be modeled as a rule of three problem.

Rule of three problem:

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too. In this case, the rule of three is a cross multiplication

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease. In this case, the rule of three is a line multiplication.

In the case of a conversion of units problem, the measures are:

- the value in one unit

- the value in another unit

As the value of the first unit increases, so will the value of the second unit. It means that in a conversion of units problem, we will always have a direct rule of three.

The problem states that Cheryl's new house is 3 kilometers and 457meters from her old house. The problem wants to know this distance purely in meters, so we have to convert 3km to meters. 1km = 1000m, so:

1km - 1000m

3km - xm

x = 1000*3

x = 3000m

Her old house is 3000m+457m = 3457m from her new house.

5 0

3 years ago

What is the equation of a line that passes through (1,2) and is perpendicular to the given line?​

What is the equation of a line that passes through (1,2) and is perpendicular to the given line?