Given:
The vertices of a right triangle are:
To find:
The length of the hypotenuse of the given right triangle.
Solution:
Let the vertices of the right triangle are 
.
The distance formula is:
Using distance formula, we get
Similarly,
And,
Now, taking sum of squares of two smaller sides, we get
By the definition of the Pythagoras theorem, AC is the hypotenuse of the given triangle.
Therefore, the length of the hypotenuse is 10 units.
Answer: y = -3x - 6
Step-by-step explanation:
One way to write a <u>linear equation</u> is with slope-intercept form. Slope-intercept form is y = mx + b, where m is the slope, and b is the y-intercept.
Thus, the equation is y = -3x - 6
Hope it helps :) and let me know if you are confused anywhere.
Answer:
1) 6
2)4
3)27
4)126
5)15
Step-by-step explanation:
1. We need to see how many 8-miles are in 24 miles, than multiple it with 2in.
(24/8)*2=3*2=6in
2. Fist we calcue how many 17-feets are in 68feets, and multiple that with 1in.
(68/17)*1=4
3. We first see how many 3ins are in 9ins, and than multiple that with 9feet
(9/3)*9=3*9=27
4. First see how many 2ins are in 36ins, and then multiple it with 7.
(36/2)*7=18*7=126feet
5. See how many 15fts are in 75ft And than multiple it with 3.
(75/15)*3=5*3=15
Answer:
In Mathematics, x and y are examples of variables.
You can use any letter as a variable but, make sure to include a let statement when using variables.
A let statement essentially tells what the variable represents.
Ex: let h = houses sold
Hope this helps!
Step-by-step explanation:
Congrats on your first question!
Answer: x=57
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1/3(3x+9)=60
x+3=60
x=57
