Answer:
52 m
Step-by-step explanation:
a^2 + b^2 = c^2
a^2 + 39^2 = 65^2
a^2 + 1521 = 4225
4225 - 1521 = 2704
Square root of 2704 = 52
To solve this, you know that both values listed (4x - 3 and -3x + 4) are equal to y, so you know that they also must be equal to each other! Therefore you can form the following equation:
4x - 3 = -3x + 4
Now you can add -3x to both sides to combine like terms:
7x - 3 = 4
Now add 3 to both sides:
7x = 7
Now if you divide everything by seven, you see that x = 1. Now that we have out x value, we can go ahead and plug it into one of the equations. This gives us:
y = 4(1) - 3
If we multiply out, we get:
y = 4 - 3
y = 1
So y also equals 1! Now that we have our answers, we can simply put them into an ordered pair which should be in the form of (x value, y value.)
Our final answer will be (1, 1).
Hope this helps!
Answer:
(x - 2) and (x + 3) is a factor of: 2x² + 2x - 12
Step-by-step explanation:
2x² + 2x - 12 given equation
Now divide it by 2 we get,
x² + x - 6
then
x² + x - 6
x² + 3x - 2x - 6
x(x + 3) - 2(x + 3)
<em><u>(x - 2) (x + 3)</u></em>
Split the second term in
2x squared -5x + 3 into two terms
2x squared - 2x - 3x + 3
Factor out common terms and last two terms
2x(x-1) -3 (x-1)
Factor out the common term x - 1
ANSWER: (x-1) (2x-3)
Answer:
By knowing the standard deviation, one gets the idea of how the value is scattered or dispersed about the mean.
Step-by-step explanation:
Let us first define standard deviation.
As it is known that the standard deviation is a measure of dispersion which express the spread of observation in terms of the average of deviations of observations from some central values.
Measure of dispersion gives us an idea about homogeneity or heterogeneity of the distribution.
Standard deviation is supposed almost an ideal measure of dispersion except the general nature of extracting the square root.
Thus for the given question, if we want to compare the two different groups of students whose mean score is 85. Here the standard deviation for both the groups interprets an idea about how the individual score for each group scattered or varied about the mean score i.e. 85.
