Answer:
x = (4 + 2√34)/10, x = (4 - 2√34)/10
Step-by-step explanation:
5x² - 4x = 6
Subtract: 5x² - 4x - 6 = 0
Quadratic formula: x = (4 ± √(16 - 4*5*(-6)))/10
Multiply: x = (4 ± √(16 + 120))/10
Simplify: x = (4 ± 2√34)/10
As they are similar triangles, one is simply going to be bigger than the other, meaning that if triangle T’s side QS is = 9 and triangle W’s corresponding side ZX is =6.5. When dividing 9 by 6.5, it is obvious that triangle W is 0.72 smaller than triangle T. All you then have to do to calculate length of side XY is times side QR on triangle T -cause it’s the corresponding side of these two triangles- by 0.72, and you’ll have your answer of XY= 8.125 :)
Answer:
There are 10 orange marbles
Step-by-step explanation:
There are 25 marbles in the bag
40% are orange
To determine the number of orange marbles, we multiply the total number of marbles by the percent that are orange
25 *40% = number of orange marbles
25*.40
10
There are 10 orange marbles
The common difference is 4. U know that the formula is the first term + d(n -1). N-1 is 14 so u know that 14 times a number needs to equal 56 because the first term is -3 and 56-3 is 53. 14 * 4 is 56. So the common difference is 4
Answer:
1. Technically 2, but might be 0 in your teacher's opinion.
2. 1
Step-by-step explanation:
Solving problem one.
So I don't know if you have learned about imaginary numbers, but if you have, then you would end up with two answers if you plugged in the quadratic formula.
If you haven't learned about imaginary numbers, then I would say your best option would be to write 'No real solution' since there are technically 2 solutions.
Solving problem two.
Turns out this quadratic has a special property and it's actually a square of one equation. You can find out by just factoring the equation.
It's (3x-2)^2. Since it's squared, that means that only 2/3 would work as x in this equation.
