Answer:
see below
Step-by-step explanation:
m+6/3 = -8
Simplify the fraction
m+2 = -8
Subtract 2
m+2-2 = -8-2
m = -10
or
(m+6)/3 = -8
Multiply each side by 3
m+6 = -8*3
m+6 = -24
Subtract 6
m+6-6 = -24-6
m = -30
<span>1/2-1/3
=3/6 - 2/6
=1/6
</span>
The cost of the family rug with dimensions 10-ft-by-11-ft given a proportional relationship is $159.50
<h3>How to solve using ratio?</h3>
Cost = $348.00
Area of rug = length × width
= 15 ft × 16 ft
= 240 square feet
Cost of a new rug = x
Area = length × width
= 10 ft × 11 ft
= 110 square feet
- Equate the ratio of cost to area of both rugs
348 : 240 = x : 110
348/240 = x/110
cross product
348 × 110 = 240 × x
38,280 = 240x
x = 38,280 / 240
x = $159.50
Learn more about ratio:
brainly.com/question/2328454
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Step-by-step explanation:
P(-1,1), Q(2,3), R(2,1)
Let P(-1,1)be x1and y1
Q(2,3)be x2 and y2
therefore, by distance formula
d(PQ)= root (x2-x1)^2+(y2-y1)^2
= root[ 2-(-1)] + (3-1)
=root (2+1)^2+2^2
= root (3square +2square )
= root 9+4
d( PQ) = root 13.........(1)
Now find distance QR and PR then prove that the three sides are not equal and therefore it is a scalene triangle
2nd also do the same.
Answer:
h = 24 cm
Step-by-step explanation:
volume of water in the cylinder = volume of water in the rectangular base container
But ,
volume of cylinder = 
h
where: is the radius and h is the height.
volume of cuboid = length x width x height
= l x w x h
So that;
h = l x w x h
But, r = 
= 
= 9 cm, height of cylinder = 28 cm, length = 27 cm, width = 11 cm, = 
.
Thus,
x 
x 28 = 27 x 11 x h
x 81 x 28 = 27 x 11 x h
7128 = 297h
h = 
= 24
h = 24 cm
The depth of the water in the container is 24 cm.
