Answer:
The scale factor for the resultant rectangle is units.
Step-by-step explanation:
Given two rectangles with sides 3 units and 7.5 units.
We have to find the scaling factors so that we can obtain bigger rectangle of 7.5 units from smaller rectangle of 3 units.
Scale factor is defined as the ratio of corresponding side of given figure to the corresponding side of resulting figure.
That is
Here,
Hence, the scale factor for the resultant rectangle is units.
Answer:
y+3=2(x-1)
Step-by-step explanation:
Point-slope form is . In order to write a linear equation using this form, the
,
and
must be substituted by real numbers.
The represents the slope of the equation. We know that the answer has to be parallel to the line y=2x-1. y=2x-1 is already in slope-intercept form, or
, in which
represents the slope. We can see that the
is in place of that
, therefore 2 is the slope of y=2x-1. Lines that are parallel have the same slope, so we know that the slope of the new equation must be 2 as well.
The and
represent the x and y values of one point that the line passes through. We know that the new equation must pass through the point (1, -3), so we'll substitute 1 in place of the
and -3 in place of the
.
Substituting for those three values will give you an equation like this, therefore it is the answer: