write an equation for the line through the point -6 and -1 and parallel to the line 3x + y equals negative 7. write your answer
1 answer:
Answer:
y = -3x - 19
Step-by-step explanation:
The line passes trough (-6,-1)
The line is parallel to line whose equation is 3x + y = -7
Writing the equation of this parallel line in slope intercept form:
y = -3x - 7
Because the two lines are parallel, their slopes are the same.
Since the slope(m) is -3, equation of our first line will be:
Slope(m) = Change in y ÷ change in x
Taking another point (x,y) lying on our first line:
-3 = =
Cross multiplying gives;
y + 1 = -3x - 18
y = -3x - 19
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Answer:
x= y=5-
Step-by-step explanation:
x+y=5
y=5-x
x-y=a
x-(5-x)=a
2x-5=a
2x=a+5
x=
x+y=5
+y=5
y=5-
Answer:
Step-by-step explanation:
I attached an image to aid the understanding of the question.
Looking at the image, we see that the 8 shaded parts are congruent, as affirmed in the question as well. And we are told that T = 3, this implies that the area of the square with T as it's side is 9ft². Since all the 8 squares are congruenrt, it means each square has its area to be 9. Therefore, the total area of the 8 shaded squares will be:
It remains the area of the shaded square with side S.
From the question, we have the following ratio:
I did not add ± because length is always positive, so the case of negative is eliminated.
Now the areas of S is
Therefore, the total area of the shaded squares is
