What is the y-intercept of the equation below? * y = 2x - 1
2 answers:
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The length of pathway is 10 inches on map.
Step-by-step explanation:
Given,
Total distance = 350 miles
According to map,
1 inch = 35 miles
Let, x be the number of inches on map.
Therefore, using proportion;
Inch : mile :: inch : mile
Product of mean = Product of extreme
Dividing both sides by 35;
The length of pathway is 10 inches on map.
Keywords: Ratio, proportion
Learn more about proportions at:
#LearnwithBrainly
Answer:
20 units²
Step-by-step explanation:
The x-intercepts are symmetrically located around the x-coordinate of the vertex, so are at
1.5 ± 5/2 = {-1, 4}
Using one of these we can find the unknown parameter "a" in the parabola's equation (in vertex form) ...
0 = a(4 -1.5)² +12.5
0 = 6.25a +12.5 . . . . . simplify
0 = a +2 . . . . . . . . . . . divide by 6.25
-2 = a
Then the standard-form equation of the parabola is ...
y = -2(x -1.5)² +12.5 = -2(x² -3x +2.25) +12.5
y = -2x² +6x +8
This tells us the y-intercept is 8. Then the relevant triangle has a base of 5 units and a height of 8. Its area is given by the formula ...
A = (1/2)bh = (1/2)(5)(8) = 20 . . . . units²
