<span>4k – 6 = -2k – 16 – 2
</span>4k+2k = – 16 – 2+6
6k=-12
k=-2
Hope this helps
Answer: The correct option is figure (1).
Explanation:
Reason for correct option:
The figure (1) shows the reflection across the side XY followed by reflection across the side YT.
When we reflect the triangle XYZ across the side XY we get the triangle XYT as shown in below figure.
After that we reflect the triangle XYT across the side YT and we get the triangle PYT.
Therefore, only figure 1 shows the triangle pairs can be mapped to each other using two reflections.
Reason for incorrect options:
The figure (2) shows the rotation of 180 degree along the point y.
The figure (3) shows the reflection across the side XY followed by the translation.
The figure (4) shows the reflection, followed by rotation , followed by translation.
Answer:
45, 47
Step-by-step explanation:
Their average, 92/2 = 46, is the even integer between them. The two integers of interest are 45 and 47.
___
Any consecutive integers of the same parity (odd or even) differ by 2. If x is the smaller, then x+2 is the larger.
We suppose you're supposed to write the equation ...
x + (x+2) = 92
2x = 90 . . . . . . subtract 2
x = 45 . . . . . . . .the smaller integer is 45; the larger one is x+2 = 47.
Answer:
Step-by-step explanation:
hello :
let y the length and x the width
A the area and P the perimeter
so : A= xy and P = 2(x+y) ....y > x and x >0 ; y>0
xy = 1764 ...(1)
y = x +13....(2) put this value in (1) : x (x+13) = 1764
x²+13x -1764 = 0 ...quadratic equation
calculate : Δ = b² -4ac a =1 and b =13 and
c = -1764
Δ = (13)² - 4(1)(-1764) = 169 +7056 = 7225=85²
X1 =(-b-√Δ)/2a =(-13-85)/2 < 0 refused (x >0)
X2 =(-b+√Δ)/2a =(-13+85)/2 = 72/2 = 36
so : x= 36 put this value in (2) : y = 36+13 = 49
the perimeter is : P = 2(x+y)
P = 2(36+49) = 170 m
Answer:
m = y/x
Step-by-step explanation:
y-y = m(x-x)
simplify:
-2y = m(-2x)
simplify again
-2y = -2mx
divide to get rid of -2 and x
-2y = -2mx
----------------
-2x
y
- = m
x