Answer: (2,1)
Step-by-step explanation:
The two equations given are:
y = 3 -x
y = x - 1
The question is asking to determine the point of intersection for two linear functions aka two lines.
Step #1: Both functions must be in slope intercept form which is y = mx+b. In this case, this step can be skipped because both functions are in slope form. At an intersection, x and y must have the same value for each equation. This means that the equations are equal to each other. Therefore, we can set both equations equal to each other to solve for x.
- Add x to both sides to get 2x - 1 = 3
- Add 1 to both sides to get 2x = 4
- Divide both sides by 2 to get x = 2
Step #2: We found the x-coordinate, but we need to find the y-coordinate. We know that the x-coordinate is 2, so substitute the number 2 into any of the given equations. So, either into y = 3 - x or y = x - 1.
The point of intersection is (2,1).
Hope this helps ^_^
Answer:
7.96 × 10⁸ kg
Step-by-step explanation:
Step 1: Given data
- Mass of the Eiffel Tower (mE): 9.16 × 10⁶ kg
- Mass of the Golden Gate Bridge (mG): 8.05 × 10⁸ kg
Step 2: Determine how many more kilograms is the mass of the Golden Gate Bridge than the mass of the Eiffel Tower
To determine this ratio, we need to do the following subtraction.
mG - mE = 8.05 × 10⁸ kg - 9.16 × 10⁶ kg = 7.96 × 10⁸ kg
The Golden Gate Bridge has approximately 7.96 × 10⁸ kg more than the Eiffel Tower.
<em>(x - 5)(x + 5)</em>
- Step-by-step explanation:
<u><em> use formula </em></u>
<em>a² - b² = (a - b)(a + b)</em>
<em />
<em>x² - 25 = x² - 5² = (x - 5)(x + 5)</em>
A single value randomly selected from the distribution of W will vary 4 by 3.5 attempted experiments. (collegboard)