To help solve this, we need to use the slope formula.
(y2 - y1) / (x2 - x1). We get these values by picking two points on a line.
We will use points (-3, 1) and (-17, 2).
y1 = 1
y2 = 2
x1 = -3
x2 = -17
Let's plug these into our formula.
(2) - (1) / (-17) - (-3) = 1 / - 14
The slope is 1 / -14
Step-by-step explanation:
125cm = 1.25m.
2m : 1.25m = 8:5
Answer: x = 3.Explanation:The expression is miswritten.
I am going to try to show it correctly writen using the math editor:
Just to be sure that it is understandable, the expression is read: logarithm base (4x - 10) of 32 equals 5.
To solve it, you take antilogarithm:
[4x - 10]^5 = 32
Now decompose 32 in 2^5
=> [4x - 10]^5 = 2^5
=> 4x - 10 = 2
=> 4x = 12
=> x = 12 / 4 = 3
Answer: x = 3
First thing to do is to illustrate the problem, Since it was mentioned that work was along the way to training, the order is shown in the picture. Mary's home and workplace are nearer compared to her training center. It is also mentioned that the distance between work and home, denoted as x, is 2/3 of the total distance from home to training. The total distance is (x + 2.5). Thus,
x = 2/3(x+2.5)
x = 2/3 x + 5/3
1/3 x = 5/3
x = 5 km
Thus, the distance from home to work is 5 km. This means that Mary has to walk this distance twice to return home to get her shoes. Then, she will travel again the total distance of 5+2.5 = 7.5 km to get to her training center. So,
Total distance = 2(5km) + 7.5 km
Total distance = 17.5 km
Sector area = (central angle / 360) * PI * radius^2
sector area = (60 / 360) * PI * 25
<span><span><span>sector area = 13.08996939
</span>
square inches
</span> </span><span>sector area = 13.1 (rounded) </span><span>square inches
</span>