g(x) = -3x² - 2x + 3
g(-2) = -3(-2)² - 2(-2) + 3
g(-2) = -12 + 4 + 3 = -5
I think it's consistent and independent because consistent means it has at least one solution (which it does) and independent means that it has exactly one solution. (i wasnt familiar with these terms so i googled what they meant, i apologise in advance if i am wrong)
Answer:
2 stalls
Step-by-step explanation:
Mr. Hayes has 11 straw bundles to use forr bedding in his horse stalls. What is the greatest number of stalls he can fill if each stall holds exactly 4 bundles
1 stall = 4 bundles
4 bundles = 1 stall
11 bundles = x
Cross Multiply
4x = 11
x = 11/4
x = 2 3/4 stalls
The greatest number of stalls he can build is 2 stalls
(-2,2), (4,-4). There are two common ways to attack this problem. The distance formula and Pythagorean theorem. I would use Pythagorean. make line segment cd the hypotenuse of a right triangle. legs would be 6 units and 6 units. a^2+b^2=c^2. 6^2+6^2=c^2. c^2=36+36. c^2=72. c=sq root of 72. c=8.5
Answer:
PB=5
Step-by-step explanation:
Since you know that BD=24, you also know that both segments BC and CD have the same value since they're congruent: 12. You also were given the value of PC. Using Pythagorean Theorm, Substitute 12 for a and 13 for c, so the equation would say
12^2+b^2=13^2
Simplify to get
144+b^2=169
Now subtract 144 from 169 and you get 25. That is b^2. All you have to do now is square root 25 to isolate b.
√25=5
So therefore,
b=5
