Hello there! Using the rules of addition, we can identify that when adding a positive to a negative number, the result shifts toward the positive side but takes the sign of the greater number. It will be demonstrated in this problem to simplify how problems like this are solved:
Step 1: Rewrite the problem
-14 + 7 = ?
Step 2: Since we’re adding 7 to a negative number, that means the negative number decreases by the quantity it’s being added by.
This means we would have to really subtract 7 from 14 to get 7.
Step 3: Keep the sign of the greater number
Since 14 is greater than 7, we will keep the negative sign in accordance.
Step 4: Simplify
-14 + 7 = -7
Using the rules of addition, we will find that -14 + 7 = -7. If you need additional help, let me know and I will gladly assist you.
Answer:
Slope: -2
y-intercept: -3 or (0, -3)
Step-by-step explanation:
y = mx + b
m = slope
b = y-intercept
6x+3y= -9
3y = -6x - 9
y = -2x - 3
No, that is not true. Use the website desmos.com to try it out yourself. Graph equations like y=1x, y=1/2x, and y=1/4x to try. Then, you will see that as the number gets bigger, the line gets steeper (it gets higher..like a hill..rising..)
The height of the skyscraper to the nearest tenth is 234. 95 meters.
<h3>How to determine the height</h3>
From the information given, we have:
- angle of elevation = 32°
- length of the base, adjacent side = 376 meters
- height of the skyscraper, opposite side = x meters
To determine the height of the elevator, let's use the tangent identity
We have that;
tan θ = opposite/ adjacent
The value of the opposite side is 'x' which is the height of the skyscraper and the value of the adjacent side is 376 meters which is the length of the base of the skyscraper
Now, substitute the values, we have;
tan 32 = x/ 376
cross multiply
x = tan 32 × 376
x = 0. 6249 × 376
x = 234. 95 meters
We know that the 'x' represents the opposite side and thus the height of the skyscraper
Thus, the height of the skyscraper to the nearest tenth is 234. 95 meters.
Learn more about angle of elevation here:
brainly.com/question/19594654
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