Answer:
D. 4in, 12in
Step-by-step explanation:
Area of triangle = 24in²
Unknown:
Base and height of the triangle = ?
Solution:
The area of a triangle =
x base x height
From the problem,
base =
x height
let the base = b
height = h
b =
h
h = 3b
Input into the formula of area;
24 =
x b x 3b
Mulitply through by 2;
48 = 3b²
b² = 16
b = √16 = 4
So, h = 3b= 3 x 4 = 12in
Answer:
<h2> 52 chickens</h2>
Step-by-step explanation:
Step one:'
given
we are told that the total number of animals is 169
the ratio of horses to chickens= 9:4
total ratio= 13
Required:
number of chickens
Applying part to all principle, let the number of chickens be x
4/13=x/169
cross multiply
4*169=13*x
divide both sides by 13
x=4*169/13
x=676/13
x=52
There are 52 chickens
Answer:
The constant of variation is $1.50
Step-by-step explanation:
Given
Point 1 (1,2)
Point 2 (5,8)
Required
Constant of Variation
Though the graph would have assisted in answering the question; its unavailability doesn't mean the question cannot be solved.
Having said that,
the constant variation can be solved by calculating the gradient of the graph;
The gradient is often represented by m and is calculated as thus

Where

By substituting values for x1,x2,y1 and y2; the gradient becomes




Hence, the constant of variation is $1.50
Answer:
I believe its (- 2, 2 )
Step-by-step explanation:
Assuming the dilatation is centred at the origin, then multiply the coordinates of B by the scale factor 2, that is
B(- 1, 1 ) → B'(2(- 1), 2(1) ) → B'(- 2, 2 )