It is an isosceles triangle
Answer:
a) 18
b)x^2+10x+18
c)x^2 -6x+2
Step-by-step explanation:
This is a case of plugging in the value into f(x).
a) f(-8)= -8^2 + 6(-8) +2
f(-8)= 64 + (-48) +2
f(-8)=64 + (-46)
f(-8)=18
b) f(x+2)= (x+2)^2+6(x+2)+2
So here I'll take a break to explain what's going on, because x+2 is a binomial meaning two terms and it is being squared I have to multiply the whole thing by itself. Meaning: (x+2) x (x+2), this is also known as foiling!! and for the next part its distributing 6 into x and 2.
f(x+2)= x^2+4x+4+6x+12+2
I'll reorder it
f(x+2)= x^2+4x+6x+12+2+4
f(x+2)= x^2+10x+18
c) f(-x)= -x^2+6(-x) +2
f(-x)= x^2 -6x+2
To solve for this, we need to use the Distributive Property, which allows us to multiply the number/variable outside of the parenthesis by all numbers/variables inside of the parenthesis. Once we've done that, we can attempt to simplify the equation.
Our current equation is:
7a + 3(9+5a) = 0
Let's use the Distributive Property.
3(9 + 5a)
3(9) + 3(5a)
27 + 15a
Our current equation now is:
7a + 27 + 15a = 0
Combine like-terms.
15a + 7a = 22a
22a + 27 (If this is not being solved, THIS is your answer as an expression)
Subtract 27 from both sides
22a = -27
Divide both sides by 22 to get a.
a = -27/22.
If we are not solving for a, but getting an expression, your answer is:
22a + 27.
If we are solving for a, our answer is:
a = -27/22.
I hope this helps!
Answer:
b. 45 N
Step-by-step explanation:
The sum of the forces exerted by the two miners = 25 + 20
= 45 N
Since after applying a force of 45 N by the two miners the cart remained stationary, it implies that a resistance force of at least 45 N acts against their push. Thus, the force exerted by the road could be equal to 45 N or greater than 45 N.
Probably, if the sum of the forces applied is 46 N, the cart would move. Which depends on the value of resistance force applied by the road. Thus, the appropriate answer from the given option is B.
Since the force applied on the cart equals the resistance force exerted by the road, the cart would not move.
The answer is D. All the opposite sides are congruent.
