First one
eliminate q's
multiply 2nd equation by -1 and add to 2nd
5p-3q=-39
<u>2p+3q=-3 +</u>
7p+0q=-42
7p=-42
divide both sides by 7
p=-6
sub back
-2p-3q=3
-2(-6)-3q=3
12-3q=3
minus 12
-3q=-9
divide -3
q=3
p=-6
q=3
2nd one
eliminate y's
multiply first equation by -1 and add to 2nd
-4x+3y=-12
<u>7x-3y=3 +</u>
3x+0y=-9
3x=-9
divide both sides by 3
x=-3
sub back
4x-3y=12
4(-3)-3y=12
-12-3y=12
-3y=24
y=-8
(x,y)
(3,-8)
Answer:
12.56 (13 if rounded)
Step-by-step explanation:
A=pi x r squared
A=2 squared multiplied by pi
A=4 times pi
plug into calculator should be about 12.56
Answer:
300
Step-by-step explanation:
The total number of ratio units in 6:5 is 6+5=11, so each of those ratio units must stand for 550/11 = 50 detectives. Then the 6 ratio units of police detectives stand for 6·50 = 300 police detectives.
Answer:
NO
Step-by-step explanation:
Exponents are expressed as numbers or variables in superscript above a base number. When the exponent is equal to or greater than 2, it directs how many times the base number is to be multiplied. The numbers 1 and 0 are special exponents, and negative integers as exponents stand for reciprocal values.