Answer:
x-int (2, 0)
y-int (0, 3)
General Formulas and Concepts:
- The y-intercept is the y value when x = 0. Another way to reword that is when the graph crosses the y-axis.
- The x-intercept is the x value when y = 0. Another way to reword that is when the graph crosses the x-axis.
Step-by-step explanation:
<u>Step 1: Locate x-intercept</u>
x-int (2, 0)
<u>Step 2: Locate y-intercept</u>
y-int (0, 3)
To find the slope of a line, we must find the change in y values divided by the change in x values, given by the formula y2-y1/x2-x1 and represented by the variable m. We use our values from the ordered pairs to compute the slope, as follows:
m = (5-1)/(4-2) = 4/2 = 2
Therefore, the slope is 2. Because the slope is positive, this means that the line is rising.
Hope this helps!
Answer:
A. (1,0)
Step-by-step explanation:
When you're solving a system of equations algebraically, you're finding the point that exists on both functions. So, when you're finding the solution graphically, you just need to find the point where the two functions intersect. In this case, it's A. (1,0)
9514 1404 393
Answer:
20.8 cm
Step-by-step explanation:
The term "hypotenuse" suggests this triangle is a right triangle. Then the other leg can be found using the Pythagorean theorem:
x^2 +12^2 = 24^2
x^2 = 576 -144 = 432
x = √432 ≈ 20.8 . . . cm
The other leg is about 20.8 cm.
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<em>Additional comment</em>
A right triangle with a short leg that is 1/2 the length of the hypotenuse is the "special" 30°-60°-90° right triangle. The longer leg is √3 times the length of the short leg: 12√3 ≈ 20.8 cm.