Answer:
(-21, -38)
Step-by-step explanation:
Given the simultaneous equation
10x-6y = 18 ... 1
9x+6y=39 ...2
Using the Elimination method
Subtract
10x - 9x = 18 - 39
x = -21
substitute x = -21 into 1;
From 1:
10x-6y = 18
10(-21)-6y = 18
-210 - 6y = 18
-6y = 18+210
-6y = 228
y = 228/-6
y =-38
Hence the solution to the system is (-21, -38)
Answer:
A is (2,2)
B is (4,6)
C is (6,2)
Step-by-step explanation:
9514 1404 393
Answer:
BD = 14
Step-by-step explanation:
The Pythagorean theorem can be used to find the lengths of CD and BC.
CD² +12² = 13²
CD = √(169 -144) = √25 = 5
__
BC² +12² = 15²
BC = √(225 -144) = √81 = 9
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The length BD is then ...
BD = BC +CD
BD = 9 + 5 = 14
The length of side BD is 14 units.
Answer:
D. Dilate rectangle A by a scale factor of 3 with the center of dilation at the origin and rotate it 90° clockwise about the origin.
Step-by-step explanation:
The coordinates of triangle A are (-2,1) , (1,1), (1,-1) and (-2, -1) while that of triangle B are (-3, 6), (3, 6), (3, -3) and (-3, 3).
To transform A to be we need a combination of two transformations, and that is dilation and rotation.
If A is dilated by a scale factor three through the origin as the center of dilation and then rotated through 90° clockwise with the origin as the center of origin, then rectangle B will be obtained.
