Answer:
y = -3
Step-by-step explanation:
So, first you need to plug in -4y-4 for x. So, 5(-4y-4) + 2y=34. Now, use the distributive property and now it will become -20y -20 + 2y = 34. Add like terms which would be -20y + 2y = -18y. Now the equation is -18y - 20 = 34. Now use inverse operations and add 20 to both sides. Then the equation will be -18y = 54. When you divide -18 on both sides, you get y=-3.
Hope this helps :)
The radius will be 7.25cm
The circumference will be about 45.55
The area will be about 165.13
Answer:
b = 14
roots of the equation are 3 and -24/13
Explanation:
Part (a): getting the value of b:
The given equation is:
(b-1) x² - (b-1) x = 72
This can be rewritten as:
(b-1) x² - (b+1) x - 72 = 0
We are given that:
one of the roots is 3.
This means that if we substituted with x = 3 in the given equation, the final result would be zero.
Substitute with x = 3 and solve for b as follows:
(b-1) x² - (b+1) x - 72 = 0
(b-1) (3)² - (b+1)(3) - 72 = 0
(b-1)(9) - (b+1)(3) - 72 = 0
9b - 9 - 3b - 3 - 72 = 0
6b - 12 - 72 = 0
6b = 12 + 72
6b = 84
b = 14
This means that the equation now is:
(14-1) x² - (14+1) x - 72 = 0
13 x² - 15 x - 72 = 0
Part (b): solving the equation:
To solve the equation means to get the value of its roots.
To do this, we will simply factorize the given equation as follows:
13 x² - 15 x - 72 = 0
(x-3)(13x+24) = 0
This means that:
either x-3 = 0 ...........> x = 3
or 13x + 24 = 0 ..........> x = -24/13
Hope this helps :)
There are 10 possible ways to select a president from the club, because their are 10 available members to choose from.
After a president is chosen, their are 9 possible ways to select a vice president, because one of the members will already have the position of president, so they can't be vice president (10-1=9)
Now we just multiply to possibilities of presidents by the possibilities of vice-presidents.
president*vicepresident=
10*9=90
Answer= D. 90
Answer: n + 1
Step-by-step explanation: