Answer:
A = (5,3)
B = Begin at origin, move 3 units in a positive direction along the x-axis, move 4 units in a positive direction parallel to the y-axis
C = (4.5, 6)
D = Begin at origin, Move 0 units along the x-axis, Move 4.5 units in positive direction parallel to the y-axis
Step-by-step explanation:
Answer:
slope = 1/4
Step-by-step explanation:
To find the slope, I chose two points where the line intersected the graph at an exact point.
Points:
(0, -8)
(4, -7)
Slope is the measure of rise over run, so starting at (0, -8) I went up one and to the right 4 times.
To put this as a fraction, we would have: 1/4
The numerator and denominator are positive because we went up and to the right.
Therefore, the slope is 1/4.
Answer:131
Step-by-step explanation:
- The area of Kayla's dollhouse upstairs = 15.15 square feet
- The area of Kayla's dollhouse downstairs = 6.45 square feet
- To find the estimated Total area of Kayla's dollhouse, we would apply the Addition Operation
- The estimated total area is calculated using the formula :
Area of the dollhouse upstairs + Area of the dollhouse downstairs
Rounding to the decimals to the nearest tenth
- The area of Kayla's dollhouse upstairs to the nearest tenth = 15.2 square feet
- The area of Kayla's dollhouse downstairs to the nearest tenth = 6.5 square feet
15.2 square feet + 6.5 square feet = 21.7 square feet
The estimated total area of Kayla's dollhouse is 21.7 square feet
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Answer:
x = 12z + 1 and y = 10z - 1
Step-by-step explanation:
To solve the system of equations, we can use the substitution method
If we call
3x - 4y + 4z = 7 I
x - y - 2z = 2 II
2x - 3y + 6z = 5 III
Clearing II x = 2 + y + 2z
Now, replacing II in III
2(2 + y + 2z) - 3y +6z = 5
4 + 2y + 4z - 3y + 6z = 5
10z - y = 1 from here y = 10z - 1
Finally, replacing y in I
3x - 4(10z - 1) + 4z = 7
3x -40z + 4 + 4z = 7
3x - 36z = 3
3x = 36z + 3
x = 12z + 1
Done
