1. What is the value of z so that -9 and 9 are both solutions of x^2+z=103?
a) -22
b) 3
c) 22
d) 184
2. What is the value of b in the triangle below? The triangle has one side that is 3b and another that is just b. The area of the triangle is 24in.^2.
a) -4 in
b) 4 in
c) no solution
d) -4 and 4
The first question is the most important, please help me with that one first. :) If you do not know the second one then do not worry about that problem. Thank you!
It's nice that instead of helping this girl understand her homework, you all argue over meaningless things like how many times you should be able to post a question on an obvious cheating website.
It actually did get me as quicker response. I also do not understand what you said, and also, it wastes my time as well when people don't reply. I also do help people so please do not be rude about this. Thank you.
Sorry about the rudeness, but there are just some children that repeat their question more than me when they already have an answer. There are also people on this site that are obnoxious and get away with things worse than this. All that I am saying is that my question did not hurt a soul, unlike the other posts you could have corrected. I also help people with their questions and do not care if they repeat a question. It does not take up any of my time because I chose to help and not criticize.
Tia,
You may or may not realize that here there are tutors who answer 50 to 100 posts a day on a voluntary basis just in order to help students.
Any repeated post may get read 8 times by 8 different tutors, and worse, could also end up with a duplicate answer which you may not need, but which will slow down help to other students.
Therefore whether you help others or not, it is still an unnecessary duplication. If you for any reason need to duplicate a post, I suggest you put in the subject: repost Math, or something to that effect.
We appreciate your help with others, but will also appreciate your cooperation to make the process of helping students more efficient.
To find the value of z so that -9 and 9 are both solutions of x^2 + z = 103, we can substitute -9 and 9 into the equation and solve for z.
Step 1: Substitute -9 into the equation:
(-9)^2 + z = 103
81 + z = 103
Step 2: Solve for z:
z = 103 - 81
z = 22
So, the value of z that satisfies the equation and makes -9 and 9 both solutions is z = 22. Therefore, the correct answer is option c) 22.
Now, let's move on to the second question.
To find the value of b in the given triangle, we can use the area formula of a triangle and the given information about its sides.
Step 1: Use the area formula of a triangle:
Area = (base * height) / 2
Step 2: Substitute the given values:
24 = (3b * b) / 2
Step 3: Simplify the equation:
48 = 3b^2
Step 4: Divide both sides by 3:
16 = b^2
Step 5: Take the square root of both sides:
b = ±√16
b can have two possible values: 4 and -4. Therefore, the correct answer is option d) -4 and 4.