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Answer:
1.7 miles
Step-by-step explanation:
Given that,
Jacob walks 1.5 miles north.
He turns and walks 0.8 miles west.
We need to find how far is he from his starting point. Let he is at a distance of x miles from the starting point. It can be calculated as follows :
Hence, he is 1.7 miles from his starting point.
Answer:
We need to find which expressions are equivalent to ,
or neither.
: We extract the greatest common factor which is 6. Remember, when we extract a GCM, we divide each term by it.
Therefore, this expression is equivalent to neither of the given expressions.
: We just need to apply the distributive property.
Therefore, this expression is equivalen to .
We use the same process to the other expressions.
, equivalent to neither.
<u>ANSWER: </u>
The slope intercept form of the required line is y = -2x + 20.
<u>SOLUTION: </u>
Given, line equation is
And, Perpendicular line to the given line passes through (7,-6).
We need to find the slope intercept form of perpendicular line of given line.
We already have the point (7, -6) but we need to find the slope.
Now, we know that, product of slopes of two perpendicular lines equals to -1.
Slope of given line is , by comparing with the general form of slope intercept form.
slope of required line = -1
Slope of perpendicular line = -2
Now, line equation of perpendicular line in point slope form is
y – (-6) = -2(x – 7)
y + 6 = -2x + 14
y = -2x + 20
the above equation is in the form of slope intercept form of a line equation
where slope m = -2 and intercept c = 20
hence, the slope intercept form of the required line is y = -2x + 20.