When a quadratic equation ax^2+bx+c has a double root, the discriminant,
D=b^2-4ac=0
Here
a=2,
b=b,
c=18
and
D=b^2-4ac=b^2-4*2*18=0
solve for b
b^2-144=0
=> b= ± sqrt(144)= ± 12
So in order that the given equation has double roots, the possible values of b are ± 12.
Answer:
The area is 522.935 square inches.
Step-by-step explanation:
A trapezoid's area is calculated as follows: h(b1+b2)/2
Plugging numbers in gives 34.3+12.6=46.9
so now all that's left is to multiply 22.3 and 46.9, and divide by 2.
This gives 522.935
Hope this helps!
Answer:
3
Step-by-step explanation:
j(2) means that x equals 2...
the first inequality in the function says that x is greater than or equal to 2
the second inequality states that x is greater than 2(not equal to) and is less than or equal to 5
the third one states that x is greater than 5
x applies to the first inequality since we know that x can be equal to 2
Now, to the number before the if
there is a 3 before the if in the first inequality
This means that if x is greater than or equal to 2 the y or the function would equal 3
therefore, j(2) would equal 3
I hope this helps!!!
Answer:
6x+3
Step-by-step explanation:
You first must distribute the negative sign to 3x+7, giving you -3x+7. Then you combine like terms (the 9x+(-3x) and 10+(-7)). This would give you 6x+3
If you extend the line from 1 through the parallel line you create a transversal and a triangle.
Consecutive angles inside the parallel lines are supplementary therefor the exterior angle of the triangle on the left side measures 118 degrees. This angle creates a linear pair with the left base angle therefore that angle measures 62 degrees.
144 forms a linear pair with the right base angle of the triangle making its measure 36 degrees.
The third angle of the triangle would then measure 82 degrees. Finally this third angle forms a linear pair with angle 1 making angle 1 measure 98 degrees.
