For perpendicular lines, the slopes are negative reciprocals of one another. Therefore, the slope of QC = 3/2
Using this into the formula of slope:
3/2 = (y + 6) / (-1 + 3)
y = -9
If the slope of CD is 2/3, then y works out to be -3.
Answer:
A
Step-by-step explanation:
because the -2 is where the point is and the slope will start there so when you draw a line the line will pass by (0,-2)
Answer:
16√3 cm²
Step-by-step explanation:
The perimeter of a triangle is the sum of its all three sides. Since this is an equilateral triangle, all sides are equal.
Let's consider one side of the triangle to be 'x'
Givent that, the perimeter is 24cm,
The equation should be x + x + x = 24
⇒3x = 24
∴ x = 8 cm
To find the area of the triangle, we need to find the height, and for that, we can use trigonometry.
Since it is an equilateral triangle, all angles are exact 60°.
let's draw a line and mark it as 'h'.
we can use sine formula to find out the opposite i.e. h
sin∅ = opposite ÷ hypotaneous
sin 60° = h ÷ 8
h = 8 sin 60°
h= 4√3
Now, let's find the area
Area = 1/2 × base × height
Area = 1/2 × 8 × 4√3
area= 16√3 cm²
Please take 1 minute, and really read the example solution
under problem #12. All of the other eight problems on the
sheet are solved in exactly the same way:
Multiply each side of the equation by the denominator of
the fraction ... the number under the variable (the letter).
This easy step will get you the answer to each of the
eight problems.
I can't help noticing that the title of the sheet is 'extra PRACTICE' .
If someone handed you the answers, then you would not get the
practice. That would be just like stealing from you, and would be
just plain mean.
Step-by-step explanation:
more information needed
