Answer <u>(assuming it can be in slope-intercept form)</u>:
Step-by-step explanation:
1) First, find the slope of the line by using the slope formula, 
. Substitute the x and y values of the given points into the formula and solve:
So, the slope is 
.
2) Now, use the point-slope formula 
to write the equation of the line in point-slope form. Substitute real values for the 
, 
, and 
in the formula.
Since represents the slope, substitute in its place. Since and represent the x and y values of one point the line intersects, choose any one of the given points (either one is fine, it will equal the same thing at the end) and substitute its x and y values into the formula as well. (I chose (0, -7), as seen below.) Then, isolate y to put the equation in slope-intercept form and find the following answer:
1. 4^2 +x^2 = 6^2
16 + x^2 = 36
x^2 = 20, x = sqrt(20) = 4.47 miles
2. using the same equation as above: 20 inches
3. needs to be a right triangle so A
4. using distance formula answer is 7.07 units
5.volume cylinder: 62.82, volume sphere: 33.51, difference:=62.82 -33.51 = 29.31 cubic inches
Let x be equal to the number of drinks Yasmine consumed.
Jose had 2 times that drink so his number of consumed drink would be represented by 2x.
Sally had 3 fewer drink than Jose so her number of consumed drinks would be represented by 2x-3.
Altogether, the three of them consumed 72 drinks so your equation would be:
x+2x+(2x-3)=72
add like terms together:
5x-3=72
have the term with x be alone on one side of the equation, in this case by adding three to both sides:
5x=75
now divide both sides by five for the value of x and your answer is.....
x=15
In the problem, two legs measurement were given such as:
Leg 1 = 12 inches
Leg 2 = 15 inches
We need to solve for the third leg. Since it is a right triangle, we can use Pythagorean theorem in solving the missing leg:
c²=b²+a²
When we assume that the third leg is the "c", we can for the value such as:
c² = 12²+15²
c=19.21
When we assume that the third is either "a" or "b":
15² =a² + 12²
a=9
Then, the possible measurement of the third leg is 9 or 19.21.
The difference between the two possible answer is shown below:
Difference = 19.21 -9 = 10.21
Difference =10.21
LUFFY to the right and LUFFY to the left
