Answer:
1. a=9 2. f=1 3. b=6
Step-by-step explanation:
1.) 4a-1=3a+8
subtract 3a from both sides
a-1+8
add 1 to both sides
a=9
2.) 1+f+3+f=f+5
combine like terms that are on the same side
2f+4=f+5
subtract f from both sides
f+4=5
subtract 4 from both sides
f=1
3.) construct a equation
b+5=11
subtract 5 from both sides
b=6
Y-y1=m(x-x1)
for slope=m
a point =(x1,y1)
slope=2
point= (-1,3)
y-3=2(x+1)
y-3=2x+2
y=2x+5
test given points
A.
(1,5)
5=2(1)+5
5=7
false
B.
(1,4)
4=2(1)+5
4=7
false
C.
(-3,2)
2=2(-3)+5
2=-6+5
2=-1
false
D.
(0,5)
5=2(0)+5
5=0+5
5=5
true
answer is D
Answer:
Rule is (x, y+k)
New point is (-3,9)
Step-by-step explanation:
A point translated vertically k units up means the x coordinate remains the same in the translation but the y coordinate is increased by k units
This can be represented mathematically as;
Let;s assume the point to be A with coordinates (x,y) then to get the image of the point under a vertical translation k units up you add k to the y coordinate value.
Given ;
where T is the translation
In the question
Given (-3,-6) and T is (0,5) the new coordinate will be
Answer:
or in decimals: 0.0625
Step-by-step explanation:
4*4*4 is 4³ or 16*4 or 64
4*4*4*4*4 is 
or 16*16*4 or 256*4 or 1024
We have 
which divided by 8 is 
which divided by 8 again is
The area is 192 cm^2
the sides are 20 20 24 with the base being 24
to figure out the height you have to use Pythagorean theorem of the triangle cut in half so 12^2 + b^2 = 20^2
b= 16 = height
b*h* .5= area 16* 24* .5= 192
