Answer:
x=20
Step-by-step explanation:
We can use similar triangle to find x. Put the smaller triangle over the larger triangle.
11 10
-------- = ----------
121+11 10 +5x+10
Combine like terms
11 10
-------- = ----------
132 20+5x
Using cross products
11 (20+5x) = 132*10
Distribute
220 +55x = 1320
Subtract 220 from each side
220-220 +55x = 1320-220
55x = 1100
Divide by 55
55x/55= 1100/55
x =20
Answer:
67 points
Step-by-step explanation:
To find the difference between the winning and losing scores, subtract the losing score from the winning score:
50 -(-17) = 50 +17 = 67
The difference is 67 points.
Answer:
y-intercept: (0, -0.7)
x-intercept: (-1.2, 0)
Step-by-step explanation:
- To find the x-intercept (x, 0) of a line substitute y by zero in the equation of the line, and from the graph, it is the point of intersection between the line and the x-axis
- To find the y-intercept (0, y) of a line substitute x by zero in the equation of the line, and from the graph, it is the point of intersection between the line and the y-axis
In the given figure
∵ The line intersects the y-axis at the point (0, -0.7)
∴ The point of intersection between the line and the y-axis is (0, -0.7)
→ By using the 2nd note above
∴ The y-intercept is (0, -0.7)
∵ The line intersects the x-axis at the point (-1.2, 0)
∴ The point of intersection between the line and the x-axis is (-1.2, 0)
→ By using the 1st note above
∴ The x-intercept is (-1.2, 0)
Answer:
1. 2(k + 3)
2. 3. 75 + k
Step-by-step explanation:
1. 2x + 6
Since, 2 is a common factor of 2 and 6, we can take that common outside.
So, 2x + 6 = 2(x + 3)
Note that in the initial expression, this 2 was distributed to arrive at 2x + 6.
2. (1.5 + k) + 2.25
This is simple addition. We can simply remove the brackets to have:
1.5 + k + 2.25
Since, the like terms can be added, we will have:
1.5 + 2. 25 + k
= 3. 75 + k
Answer:
x = -2
Step-by-step explanation:
Original equation:
4x + 32 = 24
Subtract 32 from 24
-8
The equation should look like this now:
4x = -8
Divide both sides by 4
x = -2
Hope this helps :)
