Y - 4x = 7...y = 4x + 7
now sub 4x + 7 in for y in the other equation
2y + 4x = 2
2(4x + 7) + 4x = 2
8x + 14 + 4x = 2
12x = 2 - 14
12x = - 12
x = -1
y - 4x = 7
y - 4(-1) = 7
y + 4 = 7
y = 7 - 4
y = 3
solution is : (-1,3)
Answer:
Add all of them together. So your answer is
61/10 or 6 and
Step-by-step:
7/5 =1 and 2/5 or 14/10
1/2= 5/10
4/1 or 4= 40/10
14/10 + 5/10 + 40/10 = 61/10
Simplified: 6 and 1/10
If the result is reflected over x-axis and vertically stretched by a factor of 5, the result will be g(x) = -5(x - 1)²
<h3>Transformation of functions</h3>
Transformation is a way of changing the position of an object o the xy plane. Given the parent function expressed as
f(x) = x^2
If the function is shifted to the left by unit, then we will have h(x) = (x - 1)²
If the result is reflected over x-axis and vertically stretched by a factor of 5, the result will be g(x) = -5(x - 1)²
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Answer:
Phil is 23
Step-by-step explanation:
Add 14 to 9 and you get 23. So then you subtract 9 from 23
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