The slope of the linear function shown is of -1/3.
<h3>What is a linear function?</h3>
A linear function, in slope-intercept formula, is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
Given two points of a line, the slope is given by <u>change in y divided by change in x</u>.
In this problem, the line goes through points (-3,0) and (0,-1), hence the slope is given by:
m = (0 - (-1))/(-3 - 0) = 1/-3 = -1/3.
More can be learned about linear functions at
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36 x (65+27) is the same as 36(65+27) .. you are able to distribute the 36 ( distributive property) onto the 65 and 27 and add them. Also, you can add the numbers in between the parenthesis and multipy them by 36. Nonetheless, you would arrive at the same answers.
high length:6mletngh of shadow =2~3mø is angle ofelevation
Step-by-step explanation:
hope it helps
To find the area of the full shape, we can find the areas of individual smaller shapes and add them together. Lets break this up into a rectangle and a triangle.
The rectangle is easy to calculate as we already have its measurements. The area of a rectangle is h*w=A.
25*36=A
900=A
Next the triangle, and we need to do some logic work with the measurements to find the necessary measurements to take the area.
We know the base of the triangle is some part of 36 feet. We also know from the image that the part of the 36 that is not part of the base of the triangle is 12. Therefore, the base of the triangle is 36 - 12 = 24.
Now we need the height of the triangle. We know the height of the triangle is some part of 39, and the part that is not part of the triangle is 25. Therefore, the height of the triangle is 39 - 25 = 14.
We now have the height and base of the triangle and can find its area. The area of a triangle is 0.5wh=A.
0.5(24)(14)=A
168=A
Finally, we just need to add the two results together to find the total area.
168 + 900 = A
1068 = A
The total area of the shape is 1068.
Answer:
The value of x must be greater than 100.
Step-by-step explanation:
We need to find the value x for which the value of log(x) is greater than than 2.
According to the property of logarithm, if a is a real number.
Using the above property of logarithm, the given inequality can be rewritten as
We conclude that the value of log(x) is greater than 2 for real values of x which are greater than 100.
Therefore, the value of x must be greater than 100.
