The answer to that equation is 7938
Hello! For this question, you solve using order of operations, which you probably already have remembered as PEMDAS. Anytime a number is raised to the 0 power, that is equivalent to 1. 0.5^0 is 1. 250 * 1 is 250. x = 0 gives us the answer of 250. Now, let's solve for the number by the second power. 0.5² is 0.25. 250 * 0.25 is 62.5. x² gives us 62.5. Now, let's subtract the two numbers together. 250 - 62.5 is 187.5. Because the number is decreasing, the slope is negative, so the answer is -187.5. Your answer is correct.
The correct answer is 3 inches.
To find this answer, we need to write and solve a quadratic equation.
Let's call the width of the frame X.
Then, the total width is 10 + 2x and the total length is 12 + 2x.
Having this information, we can write and solve the following equation.
(10 + 2x)(12 + 2x) = 288
4x^2 + 44x + 120 = 288
4x^2 + 44x - 168 = 0
4(x - 3)(x + 14) = 0
The solutions are 3 and -14, but only 3 makes sense in the story problem.
Answer:
Option D is correct.
XY = 10 cm
Step-by-step explanation:
Complete Question
Which of the following statements must be true, given that ABC = XYZ and AB = 10 cm?
The diagram for the question is missing.
Solution
The diagram for the question isn't attached.
But from the condition, ABC = XYZ, it is evident that the two triangles are similar according to the SSS congruent theorem.
If all three pairs of corresponding sides of two triangles are proportional, then the two triangles are similar. And from the condition given, we can predict, without seeing the diagram for the question, that
(AB/XY) = (BC/YZ) = (CA/ZX)
We can also predict that the triangles are exactly the same and the proportionality bbetween is 1.
AB = XY
BC = YZ
CA = ZX
Hence, AB = XY = 10 cm.
Hope this Helps!!!
It means the system is inconsistent, which is another way to way, there's no solution, namely, both graphs do not intersect ever, and therefore there's no common point with such x,y pair for both.
