Hello!
Given the two points,
and
, and to find the distance between these two points is found by using the formula:

is assigned to one the points, in this case, is (4, 1).
is assigned to other point, which is (9, 1).
Then, plug in these values into the formula and solve.




Therefore, the distance between the two points is 5.
Pulling out a black pen first will grant you a 40% chance of that occurring, then when you put it back the probability of you pulling out a red pen would be 50% so in decimal form these two values would be .40 and .50 multiply these two together you should get .20 or a 20% chance. Also a written fraction would be 1/5, all of which are valid answers.
Perimeter is the sum of the 3 sides:
11 + 15 + 14 = 40 cm.
Area is 1/2 x height x base:
1/2 x 13.4 x 11 = 73.7 square cm.
What do you need help with? I'm looking for points mate..
The solution to the given algebraic equation 1000(7x - 10) = 50(292 + 100x) is; x = 12.3
<h3>How to simplify algebraic equations?</h3>
We want to simplify the algebraic equation;
1000(7x - 10) = 50(292 + 100x)
The first step is to use distributive property of equality to expand the bracket to get;
7000x - 10000 = 14600 + 5000x
7000x - 5000x = 14600 + 10000
2000x = 24600
Use division property of equality to divide both sides by 2000 to get;
x = 24600/2000
x = 12.3
Thus, we can conclude that the solution to the given algebraic equation 1000(7x - 10) = 50(292 + 100x) is; x = 12.3
Read more about algebraic equations at; brainly.com/question/723406
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