2x^2 - 2x - 40 = 2x^2 -10x + 8x - 40 = 2x(x - 5) + 8(x - 5)
= (x-5)(2x+8) = 2(x-5)(x+4)
2 lines parallel, and 2 triangles have a common angle
So the smaller Δ is similar to the bigger Δ (AA Similarity)
9:(4x-2)+9=12:(3x+2)+12
9:4x+7=12:3x+14
9(3x+14)=12(4x+7)
27x+126=48x+84
21x=42
x=2
So the answer is x=2
Answer:
Option A
y=-4/3x+7
Step-by-step explanation:
To solve this, we need to understand the various components of the equation of a straight line.
A straight line has the equation: y =mx + c
<em>m</em> is the slope and<em> c</em> is the intercept on the y-axis. If we can get these two components, we can figure out the equation for the new line.
Calculating the slope, <em>m</em>
To obtain the slope of the new line, we use the fact that it is perpendicular to the slope of the line y = 3/4x-2.
This means that
3/4 X <em>m</em> = -1
<em>m</em> = -4/3
To obtain the intercept, <em>c</em>
The intercept can be obtained by adding 3 to the y-component of (0, 4).
This will give (0, 7). Hence the intercept c will be 7.
Therefore, the equation of the line will be y = -4/3x+7. Option A
Answer:
Direct Variation Use y=kx. Means “y varies directly with x.” k is called the constant of variation. “y varies inversely with x.” k is the constant of variation.
Step-by-step explanation:
Answer:
152 customers a day
Step-by-step explanation:
6840/45=152
