Answer:
where there is x in the equation we put 0
For y
=2(0)+3y=8
=0+3y=8 Group likely terms
=3y=8-0
=3y=8 Divide both sides by 3
=3y/3=8/3
Therefore y=2.6
For x
=2x+3y=8
=2x+3(0)=8
=2x+0=8 Group likely terms
=2x=8-0
=2x=8 Divide both sides by 2
=2x/2=8/2
Therefore x=4
The smallest numbers for x and y is 4 and 2.6 respectively
Answer:
- absolute change: $6,999,148
- relative change: 81.79%
Step-by-step explanation:
The absolute change is the difference between the earnings numbers:
$15,556,113 -8,556,965 = $6,999,148
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The relative change is the ratio of this difference to the original amount:
$6,999,148/$8,556,965 × 100% ≈ 81.794748% ≈ 81.79%
Answer:
Hope it may help u
Step-by-step explanation:
The sum of two numbers is 44 and their difference is 14. What are the two numbers? Let's start by calling the two numbers we are looking for x and y.
The sum of x and y is 44. In other words, x plus y equals 44 and can be written as equation A:
x + y = 44
The difference between x and y is 14. In other words, x minus y equals 14 and can be written as equation B:
x - y = 14
Now solve equation B for x to get the revised equation B:
x - y = 14
x = 14 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 44
14 + y + y = 44
14 + 2y = 44
2y = 30
y = 15
Now we know y is 15. Which means that we can substitute y for 15 in equation A and solve for x:
x + y = 44
x + 15 = 44
X = 29
Summary: The sum of two numbers is 44 and their difference is 14. What are the two numbers? Answer: 29 and 15 as proven here:
Sum: 29 + 15 = 44
Difference: 29 - 15 = 14
Answer:
Unable to be determined.
Step-by-step explanation:
AA postulate : 2 corresponding angles that are congruent.
SSS theorem : 3 sides of a triangle that are equal to another triangle's 3 sides.
SAS postulate: 2 sides and their included angle are congruent to another triangle's 2 sides and their included angle.
This would seem to follow the SAS postulate at first, but the angle we are provided is not the included angle of the sides. In triangle ABC, we are analyzing lines AB and AC. Their included angle is A, but we are given the measure for angle B.
Same with DEF; we analyze DE and DF, who share angle A, but we are given angle E as a measure.
Therefore, we cannot determine if the triangles are similar or not.
9514 1404 393
Answer:
see below
Step-by-step explanation:
Starting from the point-slope equation ...
y -y1 = m(x -x1)
Solving for y gives ...
y = mx +(y1 -m·x1)
So, the slope-intercept form equation is fairly easily found:
y = mx +b . . . . where m = m, and b = y1-m·x1
This is the equation we have used for 'b' in the attached spreadsheet.
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Of course, the formula for slope is ...
m = (y2 -y1)/(x2 -x1)
This is the equation we have used for 'm' in the attached spreadsheet. For all problems, we have used the first point. (It doesn't matter which point you use if there are two of them.)
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The second attachment is the Google Sheets spreadsheet saved in ODS format. Most spreadsheet programs should be able to open that so you can see the formulas, if you're interested. (The gray values of m are computed using the two points. The unshaded values of m are entered by hand.)
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I'll write a couple of equations in each group so you can see how the spreadsheet numbers relate:
y = mx +b
1. y = 2x -7
3. y = 2/3x +4
8. y = 1/3x -5
9. y = -5/2x +4
