Area of a right triangle is 1/2 x height x base
The area of the first triangle is 1/2 x 12 x 15 = 90 square cm.
The area of the other triangle is 90 and one side is 18:
90 = 1/2 x 18 x S
Multiply both sides by 2:
180 = 18 x S
Divide both sides by 18:
S = 180/18
S = 10
The length of the other side is 10 centimeters
Answer:
2x^2 = 6x - 5.
-x^2 - 10x = 34.
These have only complex roots/
Step-by-step explanation:
3x^2 - 5x = -8
3x^2 - 5x + 8 = 0
There are complex roots if the discriminant 9b^2 - 4ac) is negative.
Here the discriminant D = (-5)^2 - 4*-5*8 = 25 + 160
This is positive so the roots are real.
2x^2 = 6x - 5
2x^2 - 6x + 5 = 0
D = (-6)^2 - 4*2*5 = 36 - 40 = -4
So this has no real roots only complex ones.
12x = 9x^2 + 4
9x^2 - 12x + 4 = 0
D = (-12)^2 - 4*9 * 4 = 144 - 144 = 0.
- Real roots.
-x^2 - 10x = 34
x^2 + 10x + 34 = 0
D = (10)^2 - 4*1*34 = 100 - 136 = -36.
No real roots = only complex roots.
Answer:
134
Step-by-step explanation:
This sequence is arithmetic because it's going up by sane number, 3. Hence, it also linear for the same reason. The equation is y=3x+(0th term). The 0th term is the one before the 1st term, 11, which would be 8.
So the equation to finc any xth term is y=3x+8.
Example, first term is 3(1)+8=11.
Example, second term is 3(2)+8=14.
Example, third term is 3(3)+8=17.
The 42nd term is 3(42)+8=126+8=134.
Answer:
x = -1 +/-2i
Step-by-step explanation:
Write the equation in standard form to find the roots, also known as the solutions, zeros, or x-intercepts, of the quadratic.
x² + 2x + 5 = 0
Use the quadratic formula by substituting a= 1, b = 2 and c = 5.
Answer:
25% each
Step-by-step explanation:
45.8÷4=11.45 each.
so.if 45.8 is equal to 100%
11.45 how mych will be?
11.45×100÷45.8
1145÷45.8 = 25%
