Answer:
A) the y-intercept of g(x) is less than the y-intercept of f(x).
Answer:
Option B. 1/2
Step-by-step explanation:
The smaller triangle is a dilation of the larger triangle with the center of dilation at (2, -1).
we have to calculate the scale factor of the dilation.
One point of the large triangle is (-4, -1). After dilation it has become (-1, -1) of the smaller one.
If we consider the x coordinates of the point x = -4 has reduced down to -1 therefore scale factor = side of small triangle/side of the large triangle = (2 + 1)/(2 + 4) = 3/6 = 1/2
Therefore Option B. 1/2 is the answer.
Product= multiplication
s= a number
is= equal sign
3/4s= 3/5
divide both sides by 3/4
s= (3/5) / (3/4)
to divide fractions, multiply by the reciprocal/inverse of 3/4
s= 3/5 * 4/3
multiply numerators; multiply denominators
s= (3*4)/(5*3)
multiply within parentheses
s= 12/15
simplify by 3
s= 4/5
ANSWER: 4/5
Hope this helps! :)
Answer:
9 and 3
Step-by-step explanation:
Let the first number be x and second number be y hence their sum
x+y=12 ......(1)
Making x the subject theb x=12-y
Three times be first number is 3x
3x-y=24.......(2)
Adding the two sets of equations then
4x=36
X=36/4=9
The second number will be 12-9=3
So the first number is 9 and second is 3
