Answer:
y = -x + 7
Step-by-step explanation:
As we move from (8, 0) to (0, 8), we see x decreasing by 8 ('rise') and y increasing by 8 ('run'). Thus, the slope of this line is m = rise/run = 8/(-8) = -1.
Starting from y = mx + b and substituting 8 for x, 0 for y and -1 for m, we get:
0 = -1(8) + b, or b = 8
Then the equation of the line through the two given points is y = -x + 8. Any line parallel to this one has the same slope: m = -1.
Repeat the above work to find the y-intercept of the line parallel to y = -x + 8 that goes through (2, 5):
5 = -2 + b, or b = 7
Then the desired line (final answer) is y = -x + 7
Answer:
x = 9
Step-by-step explanation:
Isolate the variable. Note the equal sign, what you do to one side, you do to the other. Multiply 3 to both sides.
(x/3)(3) = 3(3)
x = 3(3)
x = 3 * 3
x = 9
x = 9 is your answer.
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The area of the isosceles trapezoid is 136 cm2
To find the area of the trapezoid, first we need to make an exact triangle to the other side of the trapezoid, just like in the diagram is showing, ( so you will have 2 triangles in the trapezoid, thinks about that the triangle that is on the diagram is reflecting to the other side) then we have a rectangle on the center of the trapezoid, we use the area formula which is would be 8x13=104, then we take the area formula of the triangle and substitute, which would be (1/2)8x4=16, we multiply 16 by 2 to get 32, this would be the area of the two triangles plus the area of the rectangle which is 104 gives a total of 136 cm2
Hope this help!!! :)
Answer:
Option A) independent variable – self-affirmations; dependent variable – self-esteem scores
Step-by-step explanation:
We are given the following in the question:
"Wood and colleagues (2009) examined the value of self-affirmation. In a typical study, participants either engaged or did not engage in self-affirmations. Later, their current self-esteem was assessed."
Independent and Dependent Variable:
- Dependent variable is the variable whose value depends on the independent variable.
- Independent variable is the free variable.
For the given scenario, self esteem is assessed based on the fact that participants either engaged or did not engage in self-affirmations.
Thus, the dependent variable is self esteem and the independent variable is engagement in self affirmation.
Thus, the correct answer is
Option A) independent variable – self-affirmations; dependent variable – self-esteem scores
Answer:
All integers from 2 to six inclusiv
Step-by-step explanation:
