Answer:

Step-by-step explanation:
From C-A, it goes from y=1 to y=5, so that 4 units
From A-B, it goes from x = -1 to x = 4, that is 5 units
Now, to find distance from B to C, we need to use the distance formula:

Where the variables are the respective points of B and C,
B (4,5) & C(-1,1)
So x_1 =4, y_1=5, x_2=-1, y_2=1
Plugging into the formula we get:

Summing it all (perimeter is sum of 3 sides):
Distance = 
3rd answer choice is right.
Answer:
Pre image of B' is B
Step-by-step explanation:
Given:
ABC is a triangle
A transformation is done on ABC so that the image is A'B'C'.
Note that transformations are of various types such as dilation, vertical shift, horizontal shift, rotation about a point, reflection on a line, etc.
In any type of transformation, corresponding vertices will be matched. In other words, A will become A', B will become B' and C will become C'.
Because of the property of the transformation to keep images similar and also transforming correspondingly the vertices we get preimage of B' would be nothing but B itself.
Answer:
Standard Form: y = 4(x-1)(x+5)
Step-by-step explanation:
4 is the leading coefficient, so it should go in front. When making a standard quadratic equation, you must do the opposite for each of the roots (negative to positive, positive to negative.)
if you’re asking for a general form quadratic equation, then sorry, I am unable to help you with that :(
Answer:
1253 inches cubed
Step-by-step explanation:
V=L*W*H,so 11*14*7=1078 and 7*5*5=175
175+1078=1253
Mark me brainliest if I helped:D
Answer:
A. (f + g)(1) = - 9
B. (f - g)(0) = -7
C. (fg)(3) = 0
Step-by-step explanation:
A. (f + g)(1) = f(1) + g(1) f(1) = 1^2 - 9 = 1 - 9 = - 8 g(1) = 1 - 2 = - 1
= -8 -1 = -9
B. (f - g)(0) = f(0) - g(0) f(0) = 0^2 - 9 = 0 - 9 = -9 g(0) = 0 - 2 = -2
= -9 + 2 = -7
C. (fg)(3) = f(3)(g(3) f(3) = 3^2 - 9 = 9 - 9 = 0 g(3) = 3 - 2 = 1
= 0(1) = 0