Answer:
Step-by-step explanation:
Let the solution to
2x^2 + x -1 =0
x^2+ (1/2)x -(1/2)
are a and b
Hence a + b = -(1/2) ( minus the coefficient of x )
ab = -1/2 (the constant)
A. We want to have an equation where the roots are a +5 and b+5.
Therefore the sum of the roots is (a+5) + (b+5) = a+ b +10 =(-1/2) + 10 =19/2.
The product is (a+5)(b+5) =ab + 5(a+b) + 25 = (-1/2) + 5(-1/2) + 25 = 22.
So the equation is
x^2-(19/2)x + 22 =0
2x^2-19x + 44 =0
B. We want the roots to be 3a and 3b.
Hence (3a) + (3b) = 3(a+b) = 3(-1/2) =-3/2 and
(3a)(3b) = 9(ab) =9(-1/2)=-9/2.
So the equation is
x^2 +(3/2) x -9/2 = 0
2x^2 + 3x -9 =0.
Answer: 
Step-by-step explanation:
<h3>
The complete exercise is: "Line segment YV of rectangle YVWX measures 24 units. What is the length of line segment YX?"</h3><h3>
The missing figure is attached.</h3>
Since the figure is a rectangle, you know that:
Notice that the segment YV divides the rectangle into two equal Right triangles.
Knowing the above, you can use the following Trigonometric Identity:
You can identify that:
Therefore, in order to find the length of the segment YX, you must substitute values into and then you must solve for YX.
You get that this is:
Answer:
Step-by-step explanation:
6(1/3X7/5)=(6X1/3)X7/5
6X7/15=6/3X7/5
14/5=14/5 (ASSOCIATIVE LAW)
Answer:
DF^2=DH^2+HF^2
DF=√DH^2+HF^2
DF=√2(DH^2) {AS IT IS A CUBE THEN ALL SIDES ARE EQUAL}
DF=√2*11^2 {ALL SIDES OF A CUBE ARE EQUAL}
DF=√2*121
DF=√242
DF=15.555
THEREFORE,OPTION B..
Answer:
Step-by-step explanation:
3/4 can go into 3, 4 times.
1.5 can go into 9, 6 times
1 can go into 5, 5 times.
the smallest number here is 4, so she can make 4 batches.
