Answer:
slope = -1/2
Step-by-step explanation:
we use point B and point A to find the slope
A(-2,1) B(-4,2)
-2 = x1
1 = y1
-4 = x2
2 = y2
the formula for slope is: y/x = y1 - y2 / x1 - x2 = 1 -2 / -2-(-4) = -1/2
Graph is in picture
Answer:
QR = 12 (cm), RP = 10 (cm)
Step-by-step explanation:
Corresponding sides of the triangles:
XY : PQ, YZ : QR, ZX : RP.
For similar triangles ratios of corresponding sides are the same
XY : PQ = 4 : 8 = 1 : 2
YZ : QR = 1 : 2
ZX : RP = 1 : 2
YZ : QR = 1 : 2
6 : QR = 1 :2, QR = 12 (cm)
ZX : RP = 1 : 2
5 : RP = 1 : 2, RP = 10 (cm)
Answer:
b
Step-by-step explanation:
3/3 = 1
Linear functions have to have the same slope between any 2 points
find the slope betwen them
slope betwen 2 points (x1,y1) and (x2,y2) is
(y1-y1)/(x2-x1)
given
(1,12) and (3,9)
slope=(9-12)/(3-1)=-3/2
if we wanted to chek furthere, we check (3,9) and (5,6) and fnd that the slope is also -3/2
so
y=mx+b
m=slope
b=yint
y=-3/2x+b
find b
if x=1 then y=12
12=-3/2+b
add 3/2 both sides
12+3/2=b
13+1/2=b
26/2+1/2=b
27/2=b
y=-3/2x+27/2
try them
we have 2 x values
7 and 3
input them and see their outputs
for x=7
y=-3/2(7)+27/2
y=-21/2+27/2
y=6/2
y=3
(7,3) is a valid point
for x=3
hold a second, we already have a x=3
it is (3,9)
none of them
answer is (7,3)
D.The puppy gains approximately 0.25 pound each week.
<u>x = no. of weeks</u> in f(x) = 0.25x + 1.2
