Given that the line is x/3 + y/2 =1 i ) make y the subject ii ) gradient of line
1 answer:
Answer:
see explanation
Step-by-step explanation:
(i)
+
= 1 ( multiply through by 6 to clear the fractions )
2x + 3y = 6 ( subtract 2x from both sides )
3y = - 2x + 6 ( divide through by 3 )
y = - x + 2
(ii)
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope ( gradient ) and c the y- intercept )
y = - x + 2 ← is in slope- intercept form ( that is part (i)
with gradient m = -
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The area of the triangle PQR is 17.6 square units.
Explanation:
Given that the sides of the triangle are PQ = 12 and PR = 3 and
We need to determine the area of the triangle PQR
<u>Area of the triangle:</u>
The area of the triangle can be determined using the formula,
Substituting the values, we get,
Simplifying, we have,
Multiplying the terms, we have,
Dividing, we get,
Rounding off to the nearest tenth, we have,
Thus, the area of the triangle PQR is 17.6 square units.