Answer:
y = 3x - 12
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 3, thus
y = 3x + c ← is the partial equation
To find c substitute (3, - 3) into the partial equation
- 3 = 9 + c ⇒ c = - 3 - 9 = - 12
y = 3x - 12 ← equation of line
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
Answer: 27
Step-by-step explanation:
Since we are informed that Gianna practices penalty kicks and that she made 18/24 of her penalty kicks yesterday, this will be converted to its simplest form which will be:
= 18/24 = 3/4 .
If she plans on shooting 36 penalty kicks, the number of penalty kicks that Gianna would have to make to successfully shoot an equivalent fraction as yesterday will be:
= 3/4 × 36
= 3 × 9
= 27 penalty kicks.
Answer:
Step-by-step explanation: