![andershy1405](/avatars/12909.jpg)
andershy1405
04.08.2019 •
Mathematics
What is the equation of the line that passes through the point of intersection of the lines y = 2x − 5 and y = −x + 7, and is also parallel to the line y=1/2x+4? y= -1/2x - 3 y= 1/2x+1 y= -1/2x + 4 y = 2x − 1
Solved
Show answers
More tips
- W Work and Career Where can you learn to be a flight attendant?...
- G Goods and services How to Properly Calculate the Power of Your Air Conditioner?...
- F Food and Cooking Effective Methods to Organize Videos in your iPad According to Content...
- F Family and Home Parquet or laminate, which is better?...
- L Leisure and Entertainment How to Properly Wind Fishing Line onto a Reel?...
- L Leisure and Entertainment How to Make a Paper Boat in Simple Steps...
- T Travel and tourism Maldives Adventures: What is the Best Season to Visit the Luxurious Beaches?...
- H Health and Medicine Kinesiology: What is it and How Does it Work?...
- O Other How to Choose the Best Answer to Your Question on The Grand Question ?...
- L Leisure and Entertainment History of International Women s Day: When Did the Celebration of March 8th Begin?...
Answers on questions: Mathematics
- M Mathematics Please answer this geometry question...
- E English Importance of education a woman...
- M Mathematics Line x line y find the measures of angle 4...
- M Medicine Although glucose enters the renal tubule during the first step of urine formation, it is actively transported back into blood during this second step in urine formation...
Ответ:
Find the intersection of the lines y = 2x - 5 and y = -x + 7 by subtitution of y from the two equations.
Find the x-coordinate of the intersection
2x - 5 = -x + 7
2x + x = 7 + 5
3x = 12
x = 4
Find the y-coordinate of the intersection
y = -x + 7
y = -4 + 7
y = 3
The intersection is (4,3)
SECOND
Find the slope of the line
The slope of line y = (1/2)x + 4 is (1/2)
Because the line we need to find is parallel to this line, the slope is the same to the parallel line.
m = 1/2
THIRD
Make the equation by this formula
y - y₁ = m(x - x₁)
From the first part and second part, we know that
(x₁, y₁) = (4,3)
m = 1/2
Input these numbers to the formula
y - y₁ = m(x - x₁)
y - 3 = 1/2 (x - 4)
y - 3 = (1/2)x - 2
y = (1/2)x - 2 + 3
y = (1/2)x + 1
The answer is the second option
Ответ:
Step-by-step explanation:
The significance level, also denoted as alpha or α, is the probability of rejecting the null hypothesis when it is true. For example, a significance level of 0.05 indicates a 5% risk of concluding that a difference exists when there is no actual difference