Answer:
Option D. (8, – 4)
Step-by-step explanation:
3x + 4y = 8 ..... (1)
x – y = 12.... (2)
To solve the above equation by elimination method, do the following:
Step 1:
Multiply equation 1 by the coefficient of x in equation 2 i.e 1.
Multiply equation 2 by the coefficient of x in equation 1 i.e 3. This is illustrated below:
1 × Equation 1
1 × (3x + 4y = 8)
3x + 4y = 8 ...... (3)
3 × Equation 2
3 × ( x – y = 12)
3x – 3y = 36......(4)
Step 2:
Subtract equation 3 from equation 4. This is illustrated below:
. 3x – 3y = 36
– (3x + 4y = 8)
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
– 7y = 28
Divide both side by the coefficient of y i.e –7
y = 28/–7
y = – 4
Step 3:
Substitute the value of y into any of the equation to obtain the value of x. In this case, we shall substitute the value of y into equation 2 as shown below:
x – y = 12
y = –4
x – (–4) = 12
x + 4 = 12
x = 12 – 4
x = 8
Therefore, the solution to the equation above is (8, – 4)
Answer:
126°
Step-by-step explanation:
The sum of angles in a triangle is 180°. Corresponding angles C and H of the similar triangles have the same measure, so you have ...
... ∠G + ∠H + ∠D = 180°
... ∠G + 31° +23° = 180° . . . . . . . subtract the numbers on the left to find ∠G
... 180° -54° = ∠G = 126°
(3n-10p)^2
=(3n-10p)(3n-10p)
=9n^2-10p-10p+100p^2
=9n^2-20p+100p^2
Answer:
Since dilation is not mentioned in the answer options, thus, the correct option is 'None of the above'.
Step-by-step explanation:
We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.
- If the scale factor > 1, the image is enlarged
- If the scale factor is between 0 and 1, it gets shrunk
- If the scale factor = 1, the object and the image are congruent
The figure seems to have enlarged by a certain scale factor. Thus, the figure b is a result of dilation of the original figure by a certain scale factor.
Rotation, Reflection, and translation do not affect the size of the original figure.
Since dilation is not mentioned in the answer options, thus, the correct option is 'None of the above'.
Answer:
negative reciprocals of each other