The points of new triangle is (3,-2), (6,-3) and (2,-5).
<u>Step-by-step explanation:</u>
The given points in the triangle A(-3,7), B(9,3) and C(-7,-5).
The scale factor is 
and centered at point (5,-5).
The formula to dilate a point that is not centered on a origin is given by,
D(x,y)=(h+t(x-h),k+t(y-t)).
where (h,k) is the center point.
To find A',
D(-3,7)=(5-2, -5+3).
D(-3,7)=(3,-2).
To find B',
D(9,3) = (5+1,-5+2).
D(9.3)=(6,-3).
To find C',
D(-7,-5)=(5-3,-5+0).
D(-7,-5)=(2,-5).
∴ The points of new triangle is (3,-2), (6,-3) and (2,-5).
D∩E=D This is because since D is a subset of E then the elements they will have in common are the elements in D and D is not a null set
Answer:
2.25 hours for the man and 1.83 hours for the woman.
Step-by-step explanation:
We first find the number of calories consumed by both the man and the woman.
The man's calories are:
750+400+225 = 1375
The woman's calories are:
370+400+0 = 770
The man burns 610 calories per hour. This means to find the number of hours, we divide the number of calories by the rate burned per hour:
1375/610 = 2.25 hours
The woman burns 770 calories per hour. This means to find the number of hours, we divide the number of calories by the rate burned per hour:
770/420 = 1.83 hours
Take the 28 and tern it into -28 and do it on both sides, -28 + 28 = 0, -28 + -1 = -30.
Sence x represents one aka any number you will add x with 11 and you will get 12x^2
Now you have to divide 12 on both sides, 12 divided by 12 is 1 so it eliminates it, 12 divided by -30 = -2.5, so then X = -2.5, and that should be right
I hope this helps! =)
