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2 years ago

Which equation represents the line that is perpendicular to and passes through (-12,6)?.

Mathematics

1 answer:

Evgesh-ka [11]2 years ago

7 0

The equation that represents the line that is perpendicular is

3y + 5x = -42

The standard equation of a line in point-slope form is expressed as:

$y-y_1=m(x-x_1)$

m is the slope of the lne

(x1, y1) is any point on the line.

Given the equation y = 3/2x + 1, the slope of the line is 3/5

The s<u>lope of the line perpendicular</u> is -5/3

Substitute the point (-12, 6) and the slope m = -5/3 into the equation above to have:

$y-6=-5/3(x-(-12))\\3(y-6)=-5(x+12)\\3y-18=-5x-60\\3y = -5x - 60 + 18\\3y + 5x = -42\\$

Hence the equation that represents the line that is perpendicular is

3y + 5x = -42

Learn more on equation of a line here:brainly.com/question/19417700

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Find the number of 3-digit numbers formed using the digits 1 to 9, without repetition, such the numbers either have all digits l

Tasya [4]

Answer: 120

Step-by-step explanation:

The total number of digits from 1 to 9 = 10

The number of digits from less than 5 (0,1,2,3,4)=5

Since repetition is not allowed so we use Permutations , then the number of 3-digit different codes will be formed :-

$^5P_3=\dfrac{5!}{(5-3)!}=\dfrac{5\times4\times3\times2!}{2!}=5\times4\times3=60$

The number of digits from greater than 4 (5,6,7,8,9)=5

Similarly, Number of 3-digit different codes will be formed :-

$^5P_3=60$

Hence, the required number of 3-digit different codes = 60+60=120

3 0

3 years ago

Hey 1200 seat theater sells two types of tickets for a concert. premium seats sell for $30 each and regular seats so for $20 eac

STatiana [176]

X = premium seats
y = regular seats
You need two equations: (x + y - 10 = 1200) and (30x + 20y = 30,180)
1.) Isolate one variable
y = 1,210 - x
2.) Plug the new equation into the second ORIGINAL equation
30x +20(1,210 - x) = 30,180
3.) Ditribute
30x + 24,200 - 20x = 30,180
4.) Add like terms
10x + 24,200 = 30,180
5.) Subtract 24,000 from either side
10x = 6,180
6.) Solve for x
x = 618
7.) Plug in x to the equation of your choosing
618 + y - 10 = 1200
8.) Solve for y
608 + y = 1,200
y = 592
The theater sold 592 regular seats and 618 premium seats.

3 0

3 years ago

Read 2 more answers

Please please please please

Mariulka [41]

The numbers given are length-15 width-10 and height-2

perimeter: 50 feet (15 + 10 + 15 + 10)
area: 150 feet (15 × 10)
volume: 300 feet (15 × 10 × 2)

7 0

3 years ago

Please answer correctly and to the best of your ability

Pavlova-9 [17]

X 3x+7    y    (x, y)
1 3(1) +7 10 (1,10)
2     3(2) +7 13    (2,13)
3     3(3) +7    16 (3,16)
4      3(4) +7 19    (4,19)

7 0

3 years ago

1.Mr. Bowen’s test is normally distributed with a mean of 75 and a standard deviation of 3 points.

lianna [129]

Answer:

2.28%

Step-by-step explanation:

Mr. bowens test is normally distributed with a mean (μ) of 75 and a standard deviation (σ) of 3 points.

The z score is used in probability to show how many standard deviation is a raw score below or above the mean. The formula for the z score (z) is given by:

$z=\frac{x-\mu}{\sigma}$

For a raw score (x) of 81 points, the z score can be calculated by:

$z=\frac{x-\mu}{\sigma}=\frac{81-75}{3}=2$

Therefore from the normal probability distribution table, the probability that a randomly selected score is greater than 81 can be given as:

P(x > 81) = P(z > 2) = 1 - P(z < 2) = 1 - 0.9772 = 0.0228 = 2.28%

7 0

3 years ago