We know that
When two chords intersect each other inside a circle, the products of their segments are equal (Intersecting Chord Theorem)
so
AE*EB=DE*EF-----> EB=DE*EF/AE
AE=4 in
DE=12 in
EF=8 in
EB=?
EB=DE*EF/AE
EB=12*8/4-----> EB=24 in
Answer:
Step-by-step explanation:
x²+3x+2=0
x²+x+2x+2=0
x(x+1)+2(x+1)=0
(x+1)(x+2)=0
x=-1,x=-2
so B
Answer:
Step-by-step explanation:
We have to use PEMDAS
P is parentheses so we turn it to 6 + 2 divided by 15(7600)
E is for exponents but we don't have any
M is for multiplication and we have that so its 6 + 2 divided by 114000
D is for division so now its 6 + 1.754
A is for addition so 7.75400
Answer:
We have 40% antifreeze and 70% antifreeze and we need to make 240 liters of 64% antifreeze.
We set up 2 equations where "f" is the 40 % and "s" is the 70%
A) f + s = 240
B) .40f + .70s = (.64 * 240) (or 153.6)
To solve both equations we multiply A) by -.40
A) -.40 f - .40 s = -96.00 then we add this to B)
B) .40f + .70s = 153.60
.30s = 57.6
s = 192
f = 48
48 liters of 40% = 19.20 liters of antifreeze
192 liters of 70% = 134.40 liters of antifreeze
That equals 153.60 liters of antifreeze in a TOTAL liquid amount of 240 liters.
Double Check
153.60 / 240 = 64% antifreeze.
Step-by-step explanation:
