Answer:
I need to see the graph in order to answer the question
Step-by-step explanation:
(-1,5)(2,4)
slope = (4 - 5) / (2 - (-1) = -1/3
y = mx + b
slope(m) = -1/3
use either of ur points (2,4)...x = 2 and y = 4
now sub and find b, the y int
4 = -1/3(2) + b
4 = -2/3 + b
4 + 2/3 = b
12/3 + 2/3 = b
14/3 = b
so ur equation is : y = -1/3x + 14/3....however, this is not ur answer because it is not in standard form.
y = -1/3x + 14/3
1/3x + y = 14/3....multiply both sides by 3
x + 3y = 14 <=== standard form
The surface area of the smaller prism is 9/25 the area of the larger one. So the linear dimensions are in the ratio of 3:5 .
Considering High School level question, answer can be written as:
A system of 2 linear equations is [two] dimensional. It is a graph of [two] lines. The solutions can be [unique] solution if the graph intersects. [No] solution if the lines are parallel - meaning they have the same slope, or [Infinitely many] solutions if they are the same line.
Explanation:
when two lines are drawn on a two-dimensional plane then there are only three possible cases:
Case1: lines will intersect
In that case you will get a unique solution at the intersection point.
Case2: lines are parallel but don't touch each other
In that case there will be no point which lies on both lines so No solution.
Case3: lines are overlapping.
In that case all the points lies on both lines so infinitely many solutions.
Answer:
m < 2 = 137°
m < 4 = 137°
Step-by-step explanation:
Given that m < 7 = 43°, we can say that it has the same measure as < 3 because they are corresponding angles. Thus, we can establish that m < 3 = 43°.
We can use m < 3 = 43° to find m < 4, as they are supplementary angles that have a sum of 180°.
Therefore:
m < 3 + m < 4 = 180°
Rearrange the formula to isolate m < 4:
m < 4 = 180° - m < 3
Substitute the value of m < 3 into the rearranged formula:
m < 4 = 180° - m < 3
m < 4 = 180° - 43°
m < 4 = 137°
Therefore, m < 4 = 137°.
< 2 and < 4 also have the same measure because they are vertical angles. Two angles are vertical angles if they are opposite angles formed by the intersection of two lines.
Hence, m < 2 = 137°
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