(-4)^2-4(1)(5)
16-4(1)(5)
16-4(5)
16-20
-4
The discriminant is negative so there are no real number solutions.
Answer:
x = 1
Step-by-step explanation:
4x + 6 - x = 7 + 2x
3x + 6 = 7 + 2x
3x - 2x = 7 - 6
x = 1
Answer: 14/15 of a meter
Step-by-step explanation:
5 and 3 LCM is 15.
3/5 x 3 + 1/3 x 5= 9/15 + 5/ 15 = 14/15
X = 12
because if you notice, each of the angles have a little arc in the corner, which means they are congruent. if all three angles are congruent, that means each angle is 60° because each triangle has a maximum value of 180°. therefore, this means it is an equilateral triangle.
that being said, each side must be equal as well. so, you can use any two sides to find x by using each one on a different side of an equation, then isolating and solving.
5x - 22 = 3x + 2 = 4x - 10
so
5x - 22 = 3x + 2
3x + 2 = 4x - 10
4x - 10 = 5x - 22
whichever one you solve for, x = 12. and if you plug in that number for x, each side equals the same number = 38
Answer:
54 beads
Step-by-step explanation:
1 hexagon = 6
2 hexagons = 10
3 hexagons = 14
Based on the pattern shown above +4 you can create an equation from this to help support finding the amount.
y = 4x + 6
y - total amount
4x - amount that is added by
6 - initial amount for 1 hexagon
Based on this you plug in 12 into x and you will find the answer:
y = 4(12) + 6
= 48 + 6
= 54
If you need to check the work honestly drawing it out, but this equation can also be supported based on the 3rd diagram of hexagon, where the initial is 6 and then 4 are added each time afterwards!!!
