Answer:
x = 1 ± 
Step-by-step explanation:
Given
2x² - 4x = 10 ( divide through by 2 )
x² - 2x = 5
Using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 1)x + 1 = 5 + 1
(x - 1)² = 6 ( take the square root of both sides )
x - 1 = ± ( add 1 to both sides )
x = 1 ± ← exact solutions
Answer:
y =
+
Explanation:The slope-intercept form of the equation has the following formula:y = mx + c
where:
m is the slope
c is the y-intercept
The given is:17x + 15y = 5
To put it in the slope-intercept formula, we should isolate the y as follows:17x + 15y = 5
15y = -17x + 5
y = (-17/15) x + (5/15)
y =
+
where:
m is the slope = -17/15
c is the y-intercept = 1/3
Hope this helps :)
Answer:
Step-by-step explanation:
The stuff that is yellow is the answer!
A dilation is a transformation, with center O and a scale factor of k
that is not zero, that maps O to itself and any other point P to P'.
The center O is a fixed point, P' is the image of P, points O, P and P'
are on the same line.
Thus, a dilation with centre O and a scale factor of k maps the original figure to the image in such a way that the<span>
distances from O to the vertices of the image are k times the distances
from O to the original figure. Also the size of the image are k times the
size of the original figure.
In the dilation of triangle TUV</span>, It is obvious that the image <span>T'U'V' is smaller than the original triangle TUV and hence the scale factor is less than 1.
</span>The ratio of the
distances from A to the vertices of the image T'U'V' to the distances
from A to the original triangle TUV is the scale factor.
The scale factor = 3.2 / 4.8 = 2/3
