Which of the following is the set of all points in a plane that are a given distance from a point? A.Angle B.Circle C.Line D.Ray
2 answers:
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The solution to the inequality 6m + 2 > -27 is m > -4.33
The solution to the inequality 8(p-6)>4(p-4) is p > 8
The given inequality is:
6m + 2 > - 27
Subtract 2 to both sides of the inequality
6m + 2 - 2 > -27 - 2
6m > -29
Divide both sides by 6
For the inequality 8(p-6)>4(p-4)
Expand the inequality using the distributive rule
8p - 48 > 4p - 16
Collect like terms
8p - 4p > -16 + 48
4p > 32
Divide both sides of the inequality 4
The solution to the inequality 6m + 2 > -27 is m > -4.33
The solution to the inequality 8(p-6)>4(p-4) is p > 8
Learn more here: brainly.com/question/15816805
+ 2 × 5
To evaluate apply the rules of PEMDAS (Parentheses, Exponent, Multiplication, Division, Addition, Subtraction)
Parentheses
There are none for this steps so go on to the next step
Exponent:
81
so...
81 + 2 × 5
Multiplication:
81 + 2 × 5
2 × 5
10
so...
81 + 10
No division in this equation so skip this step and go to the next one
Addition:
81 + 10
91
Hope this helped!
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Answer:
Width = 2
Length = 5
Step-by-step explanation:
let A be the area of the rectangle
L be the length of the rectangle
w be the width of the rectangle
<u><em>Formula</em></u>: ‘<u><em>area of a rectangle</em></u>’
A = L × w
…………………………………………………
A = L × w
⇔ 10 = (w + 3) × w
⇔ 10 = w² + 3w
⇔ w² + 3w - 10 = 0
<u><em>Solving the quadratic equation</em></u> w² + 3w - 10 = 0 :
Δ = 3² - 4(1)(-10) = 9 - (-40) = 9 + 40 = 49
then √Δ = 7
-5 is not valid ,because w represents the width
which must be a positive number
Then w = 2
<u><em>Conclusion</em></u>:
Width = 2
Length = 2 + 3 = 5