The slope of a line that passes through the point (-3,0) and has a y-intercept of 12 is 4.
<h3>How to find the slope of a line?</h3>
Using the point slope equation,
y = mx + b
where
Therefore, using (-3, 0)
0 = -3m + 12
-12 = -3m
divide both sides by -3
m = -12 / -3
m = 4
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Answer:
The equation which describe this function is 5x + 11y = 37
Step-by-step explanation:
<u>To find the slope</u>
slope = (y₂ - y₁)/(x₂ - x₁)
slope = (13 - 2)/(-2 - 3) = 11/-5
<u>To find the equation</u>
(x - 3)/(y - 2) = -11/5
5(x - 3) = -11(y - 2)
5x -15 = -11y + 22
5x + 11y = 22 + 15
5x + 11y = 37
Therefore the equation which describe this function is
5x + 11y = 37
0.6 cup of gliter is used for 1 cup of glue and 1.6 cup of gliter glue is made with 1 cup of glue.
Part A
Given that,
15 cup of gliter is for 25 cup of glue ,
Therefore, "X" cup of gliter is for 1 cup of glue
X = (1*15)/25
X= 0.6 cup of gliter
Part B,
Given that,
From part A 0.6 cup of gliter is for 1 cup of glue
Thus, 1 cup of glue and 0.6 cup of gliter when mixed will form "Y" cup of gliter glue
Now, Y= 0.6 cup of gliter + 1 cup of glue
Y= 1.6 cup of gliter glue
which approximates to 2 cup of gliter glue.
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Wouldnt be 36.7 or no i underlined 7 because it never ends
_
Answer:
After a translation, the measures of the sides and angles on any triangle would be the same since translation only involves changing the coordinates of the vertices of the triangle.
After a rotation, the measures of the sides and angles of a triangle would also be the same. Similar to translation, the proportion of the triangle is unchanged after a rotation.
After a reflection, the triangle's sides and angles would still be the same since reflection is a rigid transformation and the proportion of the sides and angles are not changed.
Step-by-step explanation:
Rigid transformations, i.e. translations, rotations, and reflections, preserve the side lengths and angles of any figure. Therefore, after undergoing a series of rigid transformations, the side lengths and angle measures of any triangle will be the same as the original triangle, generally speaking, in another position.
