The side is -15 and the top is 56
Answer:
765
Step-by-step explanation:
Craig picks 4 times 459 apples, or 1836 apples. The total number Lori and Craig picked is ...
total apples = 459 +1836 = 2295
Each of the three equal groups will have 1/3 this number of apples, so will have ...
1/3 × 2295 = 765 . . . apples
There are 765 apples in each group.
Answer:
The order of the differential equation to be formed is equal to the number of arbitrary constants present in the equation of the family of curves.
Consider the equation f ( x, y ,c1 ) = 0 -------(1) where c1 is the arbitrary constant. We form the differential equation from this equation. For this, differentiate equation (1) with respect to the independent variable occur in the equation.
Eliminate the arbitrary constant c from (1) and its derivative. Then we get the required differential equation.
Suppose we have f ( x, y ,c1 ,c2 ) = 0 . Here we have two arbitrary constants c1 and c2 . So, find the first two successive derivatives. Eliminate c1 and c2 from the given function and the successive derivatives. We get the required differential equation.
Note
The order of the differential equation to be formed is equal to the number of arbitrary constants present in the equation of the family of curves.
Answer:
The state income tax = $3759
Step-by-step explanation:
The total taxable income = $66390
10% taxable amount = $66390 - $64000 = $2390
Total tax = $3520 + 10% of 2390
= $3520 + 0.1*2390
= $3520 + 239
The state income tax = $3759
Hope you will understand the concept.
Thank you. :)
Answer:
q=35
Step-by-step explanation:
x2 - 12x + q = 0
Let the two roots be r and r+2.
Factor the quadratic expression:
(x - r)[x - (r + 2)] = 0
Expand, simplify, group like terms, and get
x2 - 2(r + 1)x + r(r + 2) = 0
Compare to
x2 - 12x + q = 0
and set equal the coefficients of like terms:
Coefficient of x:
-2(r + 1) = -12 ⇒ r + 1 = 6 ⇒ r = 5
(Then the other root is r + 2 = 5 + 2 = 7)
Constant term:
r(r + 2) = q ⇒ 5(5 + 2) = q
q = 35
Test the solution:
(x - 5)(x - 7) = x2 - 12x + 35
With two roots differing by 2, you get an equation of the form
x2 - 12x + q = 0
with q = 35.
