Simplify 2x+6=4x+-2 reorder the terms 6+2x=4x+-2
Join the centre O to the chord (let it be MN) & let OH be the perpendicular to the chord
OH bisects MN into 2 equal parts (each one is x/2)
OMH is a right triangle with one side =8, the second leg =x/2 & the hypotenuse = 12 (Radius)
Apply Pythagoras:
12² = 8² +(x/2)² ==>144=64 + x²/4 ==> x²=4(144-64) =320
x²=320==> x=√320 =17.88 ≈17.9
Answer: $5 for each eraser
Step-by-step explanation:
$5 in magazines ( 1 magazine )
? in erasers ( 4 erasers total )
$25 in total
step 1. 25-5= 20
step 2. 20/4= 5
step 3. $5 = each eraser (some expensive erasers)
Answer:
Question 1: Option C, 2x^2(x - 3)(x^2 + 3x + 9)
Question 2: Options 1, 2, 5
Step-by-step explanation:
Question #3
Step 1: Factor
2x^5 − 54x^2
2x^2(x^3 - 27)
<em>2x^2(x - 3)(x^2 + 3x + 9)</em>
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Answer: Option C, 2x^2(x - 3)(x^2 + 3x + 9)
Question #2
p(x) = 4x^6 + 32x^3
<u>Step 1: Factor</u>
4x^6 + 32x^3
4x^3(x^3 + 8)
<em>4x^3(x + 2)(x^2 - 2x + 4)</em>
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Answer: Options 1, 2, 5
Answer:
equilateral triangle is a triangle with all three sides equal
isosceles triangle is a triangle with two sides of the same length
scalene triangle is a triangle in which no 2 sides have equal lengths
equiangular triangle is a triangle in which all angles are equal
triangle is the union of three segments determined by 3 noncolinear points
