Oscar is landscaping his yard. He is putting mulch in the flower beds to help minimize weeds. He has 4 1/4 bags of mulch in his
1 answer:
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Answer:
Hello,
Step-by-step explanation:
y-intercept: x=0 ,f(0)=-10
x-intercepts are: 5,1,2.
Check the picture below.
make sure your calculator is in Degree mode.
make sure your calculator is in Degree mode.
Hello!
To find the slope-intercept form equation of the line that passes through the two points is found by first, calculating the slope using the slope formula and substitution, and secondly, finding the y-intercept of the equation through substitution.
Remember, slope-intercept form is written as: y = mx + b, where m is the slope and b is the y-intercept.
1. Find the slope
The slope formula is: . To use this formula, you need two points and also, you need to assign these points to
,
,
, and
.
In this case, and
is assigned to the ordered pair (1,3), while
and
is assigned to (3, 7). After assigning these points, you can substitute the pairs into the formula and simplify.
The slope of these two points is 2.
2. Find the y-intercept
To find the y-intercept, you substitute an ordered pair into the slope-intercept equation with the slope that was just calculated. We can use either ordered pair because it will result in the same y-intercept.
y = 2x + b (substitute)
3 = 2(1) + b (simplify)
3 = 2 + b (subtract 2 from both sides)
1 = b
The y-intercept of the two points is (0, 1).
With the necessary values to complete the equation, we can write the final equation.
The slope-intercept form equation of the line that passes through the points (1, 3) and (3, 7) is y = 2x + 1.
Answer:
Height of mound = 794 ft
Step-by-step explanation:
To illustrate the angle of elevation and distance, i have drawn it and attached below.
Now, from my diagram;
h = the height of the mound
At his first point of his trip to the foot of the mound, the angle of elevation is 40°, while the horizontal distance to the foot of the mound is "X"
So, by triangle definition,
tan(40°) = h/x
And so;
h = x tan40
h = 0.8391x - - - - (eq 1)
At his second point of the trip to the foot of the mound, Joe is now,
"(x - 450) ft" from the foot of the mound.
Thus, his angle of elevation is 40 + 18 = 58°.
So, by triangle definition,
tan(58°) = h/(x - 450)
h = (x - 450)•(tan(58°))
h = 1.6003(x - 450)
h = 1.6003x - 720.135 - - - - -(eq2)
To get the height(h) of the mound, let's equate (eq1) to (eq2).
0.8391x = 1.6003x - 720.135
1.6003x - 0.8391x = 720.135
0.7612x = 720.135
x = 720.135/0.7612
x = 946.0523 ft
Let's put this value for x in eq (1);
h = 0.8391 x 946.0523 = 793.83 ft ≈ 794ft
