Answer:
65, 123.79
Step-by-step explanation:
Since point Z is where the perpendicular bisector of the three sides of triangle GHJ intersect, point Z is the circumcenter. Circumcenters are equidistant from all three vertices, so GZ, JZ, and HZ all have equal length. Therefore ZJ is 65.
Next, look at triangle ZLJ and notice that it is a right triangle with legs 16 and x long and the hypotenuse 65 long. Using the Pythagorean Theorem, 16^2 + x^2 = 65^2, we learn that x, the length of LJ, is approximately 60.79. Add this with 63 to get 123.79.
Answer:
[f · g](x) = ![4x^3+4x^2-13x+5](https://tex.z-dn.net/?f=4x%5E3%2B4x%5E2-13x%2B5)
Step-by-step explanation:
[f · g](x) = f(x) · g(x)
![=(2x^2-3x+1)(2x+5)\\\\=(2x^2*2x)+(2x^2*5) + (-3x*2x)+(-3x*5)+(1*2x)+(1*5)\\\\=4x^3+10x^2-6x^2-15x+2x+5\\\\=4x^3+4x^2-13x+5](https://tex.z-dn.net/?f=%3D%282x%5E2-3x%2B1%29%282x%2B5%29%5C%5C%5C%5C%3D%282x%5E2%2A2x%29%2B%282x%5E2%2A5%29%20%2B%20%28-3x%2A2x%29%2B%28-3x%2A5%29%2B%281%2A2x%29%2B%281%2A5%29%5C%5C%5C%5C%3D4x%5E3%2B10x%5E2-6x%5E2-15x%2B2x%2B5%5C%5C%5C%5C%3D4x%5E3%2B4x%5E2-13x%2B5)
<h2>Answer: </h2>
I will use 6 cups of oats and 1 cup of honey to make 12 cups of granula
.
<h3>Explanation:
</h3>
Let x be the number of cups of oats and let y be the number of cups of honey. Given statement can be expressed in fractions as
½ x / ¼ y = 12
4x/2y = 12
2x/y = 12
x/y = 12/2 = 6/1
x=6, y=1
Therefore number of cups of oats = x = 6 cups
Number of cups of honey = y = 1 cup
Answer:
B and C.
Step-by-step explanation:
3*4=12,12/6 is 2. Incorrect
-3*-4=12,12/-6 is -2, Correct
-3*4=-12,-12/6 is -2. Correct
3*-4=-12,-12/-6=2. Incorrect.
1/20 mile. divide 1/4 by 5 by fliping the division sign and 5. (1/4)(1/5)=1/20