Answer:
x=−8 and y=−4
Step-by-step explanation:
8x−17y=4;−8x+15y=4
add eqn1 and 2
to eliminate x
you will get y=-4
put it zin eqn 1
x=-8
Answer:
The equation of the parallel line is y = 5x + 11
Step-by-step explanation:
→ Parallel lines have same slopes and different y-intercepts
→ The slope-intercept form of the linear equation is y = m x + b, where
In our question
∵ The equation of the given line is y = 5x + 2
→ Compare it with the form above to find its slope
∴ m = 5
∵ The two lines are parallel
∴ Their slopes are equal
∴ The slope of the parallel line is 5
→ Substitute it in the form of the equation above
∴ y = 5x + b
→ To find the value of b substitute x and y in the equation by the
coordinates of any point on the line
∵ The line passes through point (-2, 1)
∴ x = -2 and y = 1
∵ 1 = 5(-2) + b
∴ 1 = -10 + b
→ Add 10 to both sides
∴ 1 + 10 = -10 + 10 + b
∴ 11 = b
→ Substitute value of b in the equation
∴ y = 5x + 11
∴ The equation of the parallel line is y = 5x + 11
Answer:
The question mark is 10. x is 2.
Step-by-step explanation:
The question mark is 10. Divide Both Sides by five. x=2.
Answer:
Vertical angles are angles that are opposite to each other. Thus, they are therefore congruent angles as they have same measure and number of degrees.
Step-by-step explanation:
Using sampling concepts, one sample of 5 high schools in the city of Chicago is given by:
Brooks, Hyde Park, Young Womens, Marshall, Noble - UIC.
<h3>What is the missing information?</h3>
The problem is incomplete, but researching it on a search engine, it gives us a list of 15 high schools in Chicago, and asks us to take a sample of 5.
<h3>What is population and sample?</h3>
- Population: Collection or set of individuals or objects or events whose properties will be studied.
- Sample: The sample is a subset of the population, and a well chosen sample, that is, a representative sample will contain most of the information about the population parameter. A representative sample means that all groups of the population are inserted into the sample.
Hence, from the concepts of sample and populations, the sample of 5 means that we have to select 5 schools from the 15 listed, hence one possible option is given by:
Brooks, Hyde Park, Young Womens, Marshall, Noble - UIC.
More can be learned about sampling concepts at brainly.com/question/25122507
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