Tiffany612
Answered

Westonci.ca offers fast, accurate answers to your questions. Join our community and get the insights you need now. Get quick and reliable solutions to your questions from knowledgeable professionals on our comprehensive Q&A platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

Help with these 2 questions please?? Check my answers.
The height of a triangle is 13 in. less than its base. If the area of the triangle is 24 in2, what is the length of the base?

3 in.
10 in.<------
16 in.
21 in.




Madison hits a tennis ball with an initial velocity of 18 m/s straight up into the air. When she hits the ball, it is 1.2 m above the ground. Which equation can be used to find the time, t, it takes for the ball to reach the ground?

–4.9t2 + 18t + 1.2 = 0
–16t2 + 18t + 1.2 = 0<-------
–4.9t2 + 1.2t + 18 = 0
–16t2 + 1.2t + 18 = 0

Sagot :

rabinshrestha41
1>
Let the base be "x"
According to the question, 

h = x - 13

A = 24 in sq.
Now,
[tex] Area of triangle = \frac{1}{2}~b~h [/tex]

[tex]24= \frac{1}{2}(x)(x-13) [/tex]

[tex]24 *2= (x)(x-13) [/tex]

[tex]48= x^{2} - 13x[/tex]

[tex]0= x^{2} - 13x -48[/tex]

Factorizing the equation,  x²  - 13x  -48, we get,

[tex]0= x^{2}+3x - 16x -48[/tex]

[tex]0= x(x+3) - 16(x+3)[/tex]

[tex]0= (x + 3)(x-16)[/tex]

NOW, using zero product property, we get,

Either,
x + 3 = 0 
     x = -3

Or,
x - 16 = 0
      x  = 16

Since, distance can't be negative, we have, x = 16 in.
So, the length of the base is 16 inches.

2>

umm...i don't know how to do it...can you post a picture of the same kind of (solved) question....i mean like an example


Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.