Answer:
both functions have the same graph
Step-by-step explanation:
The first function is described in terms of its slope and y-intercept, so can be written in slope-intercept form as ...
y = mx + b . . . . m = slope (-7/9); b = y-intercept (3)
y = -7/9x +3
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The second function is written in point-slope form:
y -k = m(x -h) . . . . m = slope (-7/9), point = (h, k) = (18, -11)
y +11 = -7/9(x -18)
If we rearrange the second equation to the form of the first, we get ...
y = -7/9x +14 -11 . . . . eliminate parentheses, subtract 11
y = -7/9x +3 . . . . . . . matches the equation of the first function
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Both functions describe the same relation.
10a) <u>x = 81</u> <u>y = 30.5</u>
Isolate y
2y + 20 = x
2y = x- 20
y = x/2 - 10
Plug in for y
4y - 6 + 64 + x = 180
4(x/2 - 10) - 6 + 64 + x = 180
4x/2 - 40 -6 + 64 + x = 180
4x/2 + 18 = 180
4x/2 = 162
4x = 324
x = 81
Plug in for x
2y + 20 = x
2y + 20 = 81
2y = 61
y = 30.5
10b) <u>x = 47</u>
Isolate x
4x -12 = 3x + 35
x - 12 = 35
x = 47
11)
2. definition of parallelogram
3. < ABD ≅ < BDC
4. < CBD ≅ <BDA
6. I'm not 100% sure what this one is but I think it has something to do with the line of symmetry.
Hope this helps! ;)
1 is greater because it's not negative
500 grams is the same as 0.5 kilograms