Answer:
<u>18</u>
Step-by-step explanation:
<em>replace a with -2</em>
-4(-2) + 10
<em>multiply the -4 and the -2, the negatives cancel out and leave you with 8</em>
8 +10
<em>just add</em>
18
Answer:
The area of the circle is 28.274 inches squared
Step-by-step explanation:
First find the radius by dividing 6 by 2
6/2=3
Now plug in 3 to the area of a circle formula
=28.274
The area of the circle is 28.274 inches squared
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The trains are 275 km apart when both are at their first stop
<em><u>Solution:</u></em>
The tracks make an angle of 130°, with the station as a vertex
Therefore, from given figure in question,
Angle at station = 130 degree
Let "c" be the point at station
The first train travels 100 km and makes its first stop at point A
Distance between A and station c = 100 km
Let a = 100 km
The second train travels 200 km and makes it first stop at point B
Distance between B and station c = 200 km
Let b = 200 km
We have to find the value of "d"
We can use the law of cosine
The square of a side of a plane triangle equals the sum of the squares of the remaining sides minus twice the product of those sides and the cosine of the angle between them.
From given figure in question,
Side opposite "d" to 130 degree is equal to sum of square of other sides a and b minus twice the product of those sides and the cosine of the angle between them which is 130 degrees
Therefore,
Thus trains are 275 km apart when both are at their first stop
Answer:
Step-by-step explanation:
Given
Perpendicular to
Pass through
Required
Determine the line equation
First, we need to determine the slope of
An equation is of the form:
Where
In this case:
Next, we determine the slope of the second line.
Since both lines are perpendicular, the second line has a slope of:
Since this line passes through (-2,2); The equation is calculated as thus:
Where
This gives:
Add 2 to both sides
Answer:
y=-3x+20
Step-by-step explanation:
3/4x+1/4y=5
-3/4x -3/4x
1/4y=5-3/4x
divide the whole entire equation by 1/4 like this: (4)1/4y=4(5-3/4x)
Your answer is y=-3x+20