Answer:
The y intercept is (0,13)
The equation of the line is y = -2x+13
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = -2x+b
Substituting the point
3 = -2(5) +b
3 = -10 +b
Add 10 to each side
13 =b
The y intercept is (0,13)
The equation of the line is y = -2x+13
The area of a right angled triangle with sides of length 9cm, 12cm and 15cm in square centimeters is 54 sq cm.
The formula to calculate the area of a right triangle is given by:
Area of Right Triangle, A = (½) × b × h square units
Where, “b” is the base (adjacent side) and “h” is the height (perpendicular side). Hence, the area of the right triangle is the product of base and height and then divide the product by 2.
We know that the hypotenuse is the longest side. So, the area of a right angled triangle will be half of the product of the remaining two sides.
Given sides of the triangle:
a=9cm
b=12cm
c=15cm
From this we know that the hypotenuse is c. Are of the triangle will be obtained by the other two sides.
∴Area =
x 9 x 12
= 54
X/4-9=5
x/4=14
x=14/4
x=7/2
x=3.5
Answer:

And we can solve for
and we got:



And we can solve for
and we got:


So then the coordinates for B are (3,8)
Step-by-step explanation:
For this case we know that the midpoint for the segment AB is (2,5)
And we know that the coordinates of A are (1,2)
We know that for a given segment the formulas in order to find the midpoint are given by:

And we can solve for
and we got:



And we can solve for
and we got:


So then the coordinates for B are (3,8)
Answer:
6
Step-by-step explanation: