I one is 8x<24 and -8≤2x-4
Hence x <24/8 =3 and -4≤2x: divide by positive 2 to get -2≤x
Hence solution is -2≤x<3
Therefore c is the correct matching for 1.
2) 5x-2>13 or -4x≥8
i.e. 5x>15 or x≤8/(-4) = -2 (since dividing by negative inequality reverses)
Or x>3 or x ≤-2
Hence solution is two regions to the right of 3 excluding 3 and left of -2 including -2.
Graph b is the correct match.
3) -25≤9x+2<20
Subtract 2
-27≤9x<18: Now divide by positive 9
-3≤x<2
Hence graph is the region between -3 and 2 including only -3.
Graph a is correct matching for question 3.
Answer:
length is 15.5 and the width is 12.5
Step-by-step explanation:
Length rectangle = 3cm. longer than its width.
Rectangle perimeter = 56 cm.
find its dimensions?
P = 2L +2w
L= w + 3
P= 56
P = 2L +2w
56 = 2(w+3) +2(w)
56 = 2w +6 + 2w
4w= 56 - 6
4w = 50
w = 50/4
w = 12.5
L= 12.5 +3 = 15.5
L= 15.5
Solution:
Length= 15.5 cm
Width = 12.5 cm
i know it looks complex but i hope this helps :)
Answer:
(2*5) 3*7-1*6÷3*2+1*4÷2*5=216
The radius is half of the diameter so if the diameter is 3 then the radius is 1.5. ANSWER:1.5 what I did was just divide 3by 2 to get half of 3.
You can use the identity
cos(x)² +sin(x)² = 1
to find sin(x) from cos(x) or vice versa.
(1/4)² +sin(x)² = 1
sin(x)² = 1 - 1/16
sin(x) = ±(√15)/4
Then the tangent can be computed as the ratio of sine to cosine.
tan(x) = sin(x)/cos(x) = (±(√15)/4)/(1/4)
tan(x) = ±√15
There are two possible answers.
In the first quadrant:
sin(x) = (√15)/4
tan(x) = √15
In the fourth quadrant:
sin(x) = -(√15)/4
tan(x) = -√15
