Answer:
Step-by-step explanation:
(a) the co-ordinates of the point where the line crosses the y-axis,
y intercept occurs when x = 0
y = 5 - 2(0)
y = 5
(0, 5)
(b) the gradient of the line,
the general line formula is y = mx + b, where m is the slope and b is the y intercept.
y = 5 - 2x
y = -2x + 5
m = -2
(c) the equation of a line parallel to L.
Parallel lines have the same slope, but different y intercepts.
The simplest parallel line formula is
y = -2x + 0
y = -2x
I say it’s c it makes the most sense to me
Answer:
The answer is below
Step-by-step explanation:
A transformation of a point is the movement of an point from an initial position to a new position. If an object is transformed, all the point of an object is transformed. Two figures are said to be congruent if they have the same shape and the measure of each of their sides are the same.
An object is congruent to another object if the object can be mapped to the other object when transformed.
I think it’s C, good luck
Answer:
The smallest value of p+q is 11
It happens when p = 6 and q = 5.
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Explanation:
Let's factor 180 in such a way that exactly one factor is a perfect square.
I'll ignore the trivial factor of 1.
Here are the possible factorizations we could go with:
180 = 4*45
180 = 9*20
180 = 36*5
Those factorizations then lead to the following
Then we have
p+q = 2+45 = 47
p+q = 3+20 = 23
p+q = 6+5 = 11
The smallest value of p+q is 11 and it happens when p = 6 and q = 5.
Side note: p+q is smallest when we go with the largest perfect square factor.
