Answer:
4x² + 12x + 9
Step-by-step explanation:
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Using identity: </h3>
(a +b)² = a² + 2ab + b²
Here, a = 2x & b = 3
(2x +3 )² = (2x)² + 2*2x*3 + 3²
= (2x*2x) + 12x + 3*3
= 4x² + 12x + 9
Answer:
9.8
Step-by-step explanation:
Absolute value is just the number but in positive terms. (How far it is away from zero)
Answer:
x = 25
Step-by-step explanation:
Equiangular triangle is also equilateral triangle.
This means their sides are of equal length.
So, AB = BC = AC
Consider AB = BC
3x - 5 = 2x + 20
3x - 2x = 20 + 5
x = 25
Check:
Length of AB = 3x - 5 = 3(25) - 5 = 75 - 5 = 70
Length of BC = 2x + 20 = 2(25) + 20 = 50 + 20 = 70
Length of AC = 4x - 30 = 4(25) - 30 = 100 - 30 = 70
Step-by-step explanation:
Answer:
2√23 cm or 9.59 cm to the nearest hundredth
Step-by-step explanation:
The 12 cm chord is 6 cm away from the centre and the other chord is 7 cm away from the centre.
If we draw 4 radii from the ends of the 2 chords to the centre and 2 lines perpendicular from the centre to the 2 chords we have 2 pairs of congruent right triangles.
So by Pythagoras:
r^2 = 6^2 + 6^2 ( the given chord)
r^2 = 7^2 + x^2 where x is 1/2 * length of the second chord.
Therefore:
7^2 + x^2 = 6^2 + 6^2
x^2 = 36+ 36 - 49 = 23
x = √23
and length second chord = 2√23.
Answer:
calculator
Step-by-step explanation:
