Lucy draws a line on a coordinate plane. We have to identify the transformation which will always result in a line perpendicular to Lucy’s line.
Referring to the given options.
By rotating 270 degrees clockwise around the origin, Lucy will get a line perpendicular to the Lucy's line. As, when we rotate 270 degrees clockwise about the origin, we multiplies the x coordinate by '-1' and interchanges the x and y coordinate, which gives the line which is always perpendicular to the Lucy's given line.
Answer:
(x-4)^2 - 67
Step-by-step explanation:
f ( x ) = x^ 2 − 8 x − 51
Take the coefficient of x
-8
Divide by 2
-8/2 = -4
Square it
(-4)^2 = 16
Add this and subtract it
f ( x ) = x^ 2 − 8 x +16 -16− 51
= (x^2 -8x+16) - 67
= (x-4)^2 - 67
The coefficient of the xy term when the expression is multiplied out
and the like terms are collected is zero
Step-by-step explanation:
There two binomials we need to multiply them
The steps of multiplying two binomials
1. Multiply the first terms
2. Multiply the second terms
3. Multiply the 1st tern in the first bracket by the 2nd term in the
second bracket
4. Multiply the 2nd tern in the first bracket by the 1st term in the
second bracket
5. Add the like terms
In (ax + by)(cx – dy)
∵ (ax)(cx) = ac x²
∵ (by)(-dy) = - bd y²
∵ (ax)(-dy) = - ad xy
∵ (by)(cx) = bc xy
- Then like terms are (- ad xy) and (bc xy) add them
∵ (- ad xy) + (bc xy) = (-ad + bc) xy
∴ The coefficient of the xy term is (-ad + bc)
∵ ad = bc
- Replace ad by bc in the bracket above
∴ The coefficient of the xy term = (-bc + bc)
∴ The coefficient of the xy term = zero
<em>The coefficient of the xy term when the expression is multiplied out</em>
<em>and the like terms are collected is zero</em>
<em></em>
Learn more:
you can learn more about binomials in brainly.com/question/2334388
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Towels: 14-7-49
Blankets: 8-4-16
The first one would be 49 because of the pattern 7 squared would be 49 as 4 squared would be 16. And in the first one we divide by 2 so 8/2 = 4.
So, the pattern is that you square so in the upper right the answer would be 49 and in the second you decide by 2 so the answer is 4. <span />
Answer: good
Step-by-step explanation:
