a = √(13² - 12²) units
<h3>
Further explanation</h3>
<u>Given:</u>
- A right triangle has a hypotenuse length of 13 units.
- One leg has a length of 12 units
<u>Question:</u>
Which equation can be used to determine the length of the other leg?
<u>The Process:</u>
We will solve a problem regarding right triangles. In the process, there is a relationship between the Pythagorean Theorem with Exponent and Square Root.
Let us find out the equation to determine the length of the other leg. Let the length of the leg as "a".
The Phytagorean Theorem:
Subtract by 12² on both sides.
To take the square root on both sides.
So here's the equation that can be used to determine the length of the other leg: 
- - - - - - - - - -
Notes
If we continue working on the above, the results will be as follows:
Hence the length of the other leg equal to a = 5 cm.
Of course, we agree with the use of the right intuition, which is to remember Pythagorean Triples, i.e., 
This method is very convenient when working on multiple-choice tests in a limited amount of time.
<h3>Learn more</h3>
- What are the lengths of the legs of the triangle? brainly.com/question/13027296
- Find out the measures of the two angles in a right triangle brainly.com/question/4302397
- A word problem of a quadratic equation brainly.com/question/11805547
Answer:
<em>y = 2x+6</em>
Step-by-step explanation:
Let the output value be y
Let the input value be x
the output of a function is 6 more than 2 times the input
2 times the input is expressed as 2x
6 more than 2 times the input is expressed as 2x + 6
Since the output of a function is 6 more than 2 times the input, we will equate y to the resulting equation to have;
y = 2x + 6
<em>Hence the required equation is y = 2x+6</em>
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Slope intercept form is y=mx+b where m is slow and b is y intercept. since we dont have this info we will have to do some work to solve.
1. find slope. this is change in y du used by change in. so we take the two points given and subtract the y values and divide by difference of x values
m=(8-2)/(-3--1)=6/-2=-3
2
use point slope formula and simplify. this is y-y1=m(x-x1) where (x1,y1) is a point on the l in ne. you can pick either point it doesn't matter. we will use (-1,2)
y-2=-3(x+1)
simplify to slope intercept by solving for y
y-2=-3x-3
y=-3x-1
so we have slope -3 and y intercept -1
The answer is 38 degrees. It WOULD be -38, but difference can not be negative.
Answer:
10 days
Step-by-step explanation:
Jenny has read 50 pages and will read 15 each day.
The equation would be: 15x+50
Mark will read 20 pages daily.
The equation would be: 20x
In both equations x represents days.
You set both equal to each other because you want to know when they read the same amount of pages.
15x+50=20x
...you subtract 15x from both sides
50=5x
...and divide by five to get: 10 days
