x - 2 + x + 4 + x - 2 + 4 - 4 = x + 3 + x + 4 + x + 5
4x + 4 = 3x + 12
4x - 3x = 12 - 4
x = 8
20 x 5 will give your the best estimate of 23x 4.8 because 20 x 5 = 100 and 23 x 4.8 = 110 hope this helped :)
Answer:
Here's what I get
Step-by-step explanation:
I plotted the triangles in the diagram below.
Part A
The scale factor for dilation is ½, because every coordinate has been halved.
P (8, 0) ⟶ P' (4, 0)
Q (6, 2) ⟶ Q' (3, 1)
R (-2, -4) ⟶ R' (-1, -2)
Part B
When you reflect a point (x, y) about the y-axis, the y-coordinate remains the same, but the x-coordinate gets the opposite sign. Thus,
P' (4,0) ⟶ P" (-4,0)
Q' (3,-1) ⟶ Q" (-3,-1)
R' (-1,-2) ⟶ R" (1,-2)
∆P"Q"R" has coordinates P" (-4,0), Q" (-3,-1), R"(1,-2).
Part C
∆PQR and ∆ P"Q"R" are not congruent, because corresponding sides are not equal.
Answer:
Step-by-step explanation:
x^2 + 3x - 9 =0
By comparing with the equation ax^2+bx+c = 0,
we get,
a = 1, b=3, c = -9
we know the formula for x is,
x = (-b±√(b^2 - 4ac))/2a
x = (-3±√45)/2
x = (-3±3√5)/2
x = (-3+3√5)/2, (-3-3√5)/2
The line that passes through points (-2,1) and (3,-1) is a negative slope