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3 years ago

Write the equation of a line that is perpendicular to the given line and that passes through the given point.

1 answer:

4 0

-3x-6y=17

-6y=3x+17

y=-x/2-17/6 so the slope of the line is -1/2

For another line to be perpendicular to this one the product of their slopes must equal -1

(-1/2)m=-1, m=2 so the perpendicular line will have a slope of 2...

y=2x+b, using point (6,3) we can solve for b...

3=2(6)+b

3=12+b

b=-9 so

y=2x-9

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1) Mathew had 4 kilograms of potatoes. He

elena55 [62]

a) Slope = 1 hour / 3 kilogram = 20 minutes per kilogram.

b) 20 minutes x 4 kilograms = 1 hour and 20 minutes total

8 0

3 years ago

- If MML = (11x - 5), mJK = (4x + 26)° and mZMNL = (10x – 12), find mZMNL.

GenaCL600 [577]

Answer:

m∠ MNL = 78º

Step-by-step explanation:

Arcs meassures

mML = (11x - 5)º

mJK = (4x + 26)°

Angle meassure

m∠MNL = (10 x – 12)º

______________________

angle measure = average of arcs

m∠MNL = (mML+ mJK)/2

Replacing

(10x – 12)º = ((11x - 5)º + (4x + 26)° )/ 2

10x -12 = (15x + 21 )/2

10x - 7.5x = 10.5 + 12

2.5x = 22.5

x= 9

m∠MNL = (10 x – 12)º

= 90 - 12

= 78º

3 0

3 years ago

Need helpp fastt plss will give brainliest to who is correct plss helpp

Lynna [10]

The answer is 42cm. the area of the rectangle in the middle is 30cm. the area of the triangle on the left is 6cm because the formula is 1/2Bh. B=2 and h=6, so 12/2=6. there are 2 of the triangles however, so you add 30+12=42

6 0

3 years ago

Suppose you are organizing a business meeting and are in charge of facilitating the introductions. How would you arrange a group

Effectus [21]

Hi,
This is using 'n', so there would be a lot of possibilities, but I would form a circle with the group of people, then each person would shake the person to their right, and then to their right, one time. This method would not vary because a circle can contain even or odd number of people.

Hope this helps!

3 0

4 years ago

A number has the property that its square is equal to 84 more than five times the number. Enter all numbers that have this prope

Liono4ka [1.6K]

Answer:

The numbers for which the given property hold true are 12 and -7

Step-by-step explanation:

Let the number be $x$ .

As per the given statement:

Square of the number ( $x^{2}$ ) is 84 more than five times of the number ( $5x+84$ ).

Writing in the equation form:

$x^{2} =5x+84$

To find:

All the numbers for which above equation holds true.

Solution:

$x^{2} =5x+84$

Let us solve the above equation by rearranging the terms and then let us find the roots of the equation.

It is a quadratic equation(i.e. maximum power of $x$ is 2) so it will have 2 solutions i.e. 2 values of $x$ for which the above equation will hold true.

$x^{2} -5x-84=0$

Let us factorize the equation.

$\Rightarrow x^{2} -12x+7x-84=0\\\Rightarrow x(x -12)+7(x-12)=0\\\Rightarrow (x+7)(x-12)=0\\\Rightarrow \bold{x=12, -7 }$

So, the numbers for which the given property hold true are 12 and -7.

8 0

3 years ago