Answer:
A. 8 cm sq
Step-by-step explanation:
Find the scale factor
new width/original width
8/1.6=5
calculate length of original rectangle
new length/scale factor
25/5=5cm
Find area of original rectangle
A=l×w
A=1.6×5=8cm²
Answer:
the answer is 4 (option C)
Step-by-step explanation:
Since the triangles are similar, and in triangle UTV both sides are equal, we can consider QTR also has two equal sides.
therefore, the equation forms:
13x + 3 = 55
13x = 55 - 3
13x = 52
x = 52/13
x = 4
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as there are no options to select from.
However, a general explanation is as follows.
Given
Required
Is 
a correct expression?
Let
So:
becomes
Divide both sides by 2
Hence:
is incorrect
Answer:
two real, unequal roots
Step-by-step explanation:
y is definied as y = 3x - 1. Substitute 3x - 1 for y in xy = 9, obtaining:
x(3x - 1) = 9. Then:
3x^2 - x - 9 = 0. In this quadratic, the coefficients are a = 3, b = -1 and c = -9.
Calculating the discriminant b^2 - 4ac, we get (-1)^2 - 4(3)(-9), or 1 + 108, or 109. Because the discriminant is positive, we have two real, unequal roots.
It would be - 1.75. Hope it helps! :)
