Answer:
y - 5 = -1(x + 3)
Step-by-step explanation:
Point slope form
y - y1 = m(x - x1) where m = slope and passing through point (x1 , y1)
In this case if the equation in point-slope form contains the point (–3, 5) and has slope –1 then the equation should be:
y - 5 = -1(x - (-3))
y - 5 = -1(x + 3)
Answer: We should order 40 dining room tables type “A” and 90 dining room tables type “B” if we want to minimize our cost.
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Answer:
The lengths of all sides of the triangle will be 21 cm, 21 cm, and 21 cm
Step-by-step explanation:
Given that the perimeter of the triangle = 63 cm
And the length of one side = 21 cm
and one of the medians is perpendicular to one of its angle bisectors
Since triangle has 3 sides,
Median = 63 ÷ 3 = 21
Therefore each side length = 21 cm
Since the rectangles are similar. The ratio of their sides will be the same.
So, we can write:
Therefore, the left side of the bigger rectangle will be 12 units in length.
As the only prime factor of denominator is
2
, in fact there are three twos (
2
×
2
×
2
) we can can convert the fraction
7
8
by multiplying numerator and denominator by
5
×
5
×
5
.
Hence,
7
8
=
7
×
5
×
5
×
5
8
×
5
×
5
×
5
=
875
1000
=
0.875
(This is always possible if only prime factors of denominator are
2
's and
5
's - just multiply by as many
5
's and
2
's).
