Answer:
i. The ratio of the areas of the two triangles is 5:8.
ii. The area of the larger triangle is 24 in².
Step-by-step explanation:
Let the area of the smaller triangle be represented by 
, and that of the larger triangle by 
.
Area of a triangle = 
x b x h
Where; b is its base and h the height.
Thus,
a. The ratio of the area of the two triangles is:
Area of smaller triangle = x b x h
= x 5 x h
= 
h
Area of the lager triangle = x b x h
= x 8 x h
= 4h
So that;
Ratio = 
= 
The ratio of the areas of the two triangles is 5:8.
b. If the area of the smaller triangle is 15 in², then the area of the larger triangle can be determined as;
=
=
5 = 15 x 8
= 120
= 
= 24
The area of the larger triangle is 24 in².
If the question meant that we should write a linear prediction function ;
Answer:
y = bx + c
Step-by-step explanation:
The equation for a linear regression prediction function is stated in the form :
y = bx + c
Where ;
y = Predicted or dependent variable
b = slope Coefficient
c = The intercept value
x = predictor or independent variable
Therefore, the Linear function Given represents a simple linear model for one dependent variable, x
b : is the slope value of the equation, whuch represents a change in y per unit change in x
Answer:
( , 0 )
Step-by-step explanation:
Given the 2 equations
4x + 3y = 2 → (1)
2x - 3y = 1 → (2)
Adding (1) and (2) term by term will eliminate the y- term, that is
6x = 3 ( divide both sides by 6 )
x = 
=
Substitute x = into either of the 2 equations and evaluate for y
Substituting into (1)
4( ) + 3y = 2
2 + 3y = 2 ( subtract 2 from both sides )
3y = 0 ⇒ y = 0
Solution is ( , 0 )
