All categories

2 years ago

write an equation of the line passing through point p that is perpendicular to the given line p(6,10),y=-3x+13

Mathematics

1 answer:

patriot [66]2 years ago

6 0

Answer:

y = $\frac{1}{3}$ x + 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

y = - 3x + 13 is in this form

with m = - 3

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{-3}$ = $\frac{1}{3}$

y = $\frac{1}{3}$ x + c ← is the partial equation

To find c substitute (6, 10) into the partial equation

10 = 2 + c ⇒ c = 10 - 2 = 8

y = $\frac{1}{3}$ x + 8 ← equation of line

You might be interested in

For the graph, what is a reasonable constraint so that the function is at least 200?

Anastasy [175]

Answer:

$0\leq x\leq 15$

Step-by-step explanation:

I think your question missed key information, allow me to add in and hope it will fit the orginal one

<em>For the graph below, what should the domain be so that the function is at least 200? graph of y equals minus 2 times the square of x plus 30 times x plus 200 </em>

My answer:

Given the above information, we have:

$y=-2x^2+30x+200$

To make the function is at least 200, it means that:

$y=-2x^2+30x+200$ ≥ 200

<=> $-2x^2+30x$ ≥ 0

<=> x(-2x+30) ≥ 0

This is the product of two numbers hence would be positive only if either both are positive or both are negative

Case I: Both positive

x ≥ 0 and (-2x+30) ≥ 0

<=> 0 ≤ x ≤ 15

Case II: Both negative

Then we get

$x\leq 0 and -2x+30\leq 0\\\\x\leq 0 and x\geq 15$

This is inconsistent as a value cannot be less than 0 and greater than 15

=> our correct answer is $0\leq x\leq 15$

Hope it will find you well.

3 0

2 years ago

Determine the area of the figure on the coordinate grid. Round to the nearest hundredth if needed. Show all work to receive cred

AleksandrR [38]

Answer:

I can't currently fully answer, hoping someone can come along and help-

Step-by-step explanation:

separate the shape into 3 triangles and 1 rectangle and then add all the areas together

area of a triangle is 1/2 base times height and area of a rectangle is length multiplied by width

5 0

2 years ago

How helpful is pemdas be specific

pychu [463]

PEMDAS is very helpful. Without pemdas, people solve equations differently. For example, 2 + 3 * 2. Using pemdas, we knoow 2 + 3 * 2 = 8

However, without pemdas, someone could do 2 + 3, which is 5, then *2. Which would get 10.

PEMDAS is important to keep order.

4 0

2 years ago

Read 2 more answers

Compare |−49| and |−52|. 50 POINTS HELP ASAP PLEASE ANYONE PLEASE A) |−49| |−52| D) |−49| ≥ |−52|

Georgia [21]

Answer:

|-49| < |-52|

Step-by-step explanation:

|-49| = 49

|-52| = 52

49 < 52

--> |-49| < |-52|

3 0

2 years ago

Read 2 more answers

-42sry - 12sgy - 36sy - 6swy <br><br> Factor

Reika [66]

12sy2 would be the answer

3 0

2 years ago