Can someone Please help me? How did I get this question wrong? I chose the last option, but that's incorrect. Please answer asap
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The triangle JKL shown on the coordinate grid below is reflected once to map onto triangle J'K'L':
If vertex L' is at (−3, 4), what are the coordinates of vertex J'?
(1, −8)
(−8, 1)
(−1, 8)
(8, −1)
The triangle JKL shown on the coordinate grid below is reflected once to map onto triangle J'K'L':
If vertex L' is at (−3, 4), what are the coordinates of vertex J'?
(1, −8)
(−8, 1)
(−1, 8)
(8, −1)
2 answers:
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The required equation is:
Step-by-step explanation:
Let l_1 be the line through (-1, -2) and (5, 3)
and l_2 be the line we require which passes through (3,7)
We have to find the lope of l_1 first
we have to find the equation of line perpendicular to l1
The product of slopes of two perpendicular lines is -1
Let m_2 be the slope of l_2
Then
The general slope-intercept form is:
y=mx+b
Putting the value of slope
To find the value of b, we will put (3,7) in the equation
Putting the values of b and m in standard slope intercept form:
Hence,
The required equation is:
Keywords: Equation of line
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the numbers are x=58 & x+2=60 , i.e. 58 and 60 .
<u>Step-by-step explanation:</u>
Here we have , Consecutive integers are 1,2,3,4 and so on. Consecutive even integers are 2,4,6,8 and so on. The sum of an integer and twice the next consecutive even integer is 178. We need to Write and solve an equation to find the two integers. Let's find out:
Let the integer be x , and the next consecutive even integer be x+2 .Now , According to question , The sum of an integer and twice the next consecutive even integer is 178 i.e.
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Therefore , the numbers are x=58 & x+2=60 , i.e. 58 and 60 .