Answer:
48 cm ²
Step-by-step explanation:
area of a triangle is the base times the height and then then answer is divided by 2
bh/2
8 times 12 = 96/2 = 48 cm ²
Answer: Its A, Your Welcome.
Step-by-step explanation:
Answer:
A) (-5, -34)
Step-by-step explanation:
f(x) = x^2 + 10x - 9
We complete the square to get the equation in vertex form
Take the coefficient of the x term and divide by 2 then square it. We add it and then subtract it not to change the value of the equation
f(x) = x^2 + 10x +(10/2)^2 - (10/2)^2 - 9
f(x) = x^2 +10x +25 -25 -9
f(x) = (x^2 +10x +25) -34
The term in parentheses simplified to (x+10/2) ^2
= (x+5)^2 -34
= (x - -5)^2 -34
This is in the form (x-h)^2 +k
The vertex is (h,k) h=-5 and k=-34
(-5,-34)
Answer:
16.6 units
Step-by-step explanation:
Hi there!
We can use the Pythagorean theorem to help us solve this problem:
where c is the longest side of a right triangle (the hypotenuse) and a and b are the other two sides
It's safe to assume that x is the longest side in this triangle, making it the c value. Plug 14 and 9 into the equation as a and b and solve for x:

Therefore, the value of x is 16.6 units when rounded to the nearest tenth.
I hope this helps!
"Jake can mulch a garden in 30 minutes." So, for 1 min Jake can mulch 1/30 part of a garden.
Ross can mulch the park for x minutes. So, for 1 min Jake can mulch 1/x part of a garden.
If they work together, for 1 min they will mulch (1/30 + 1/x) part of the garden.
At the same time, we know, that of they work together they can mulch the garden in 16 min, so for 1 min they will mulch 1/16 part of the garden.
Now, we can write an equation

x≈34.3 (min)