Answer: A quadratic equation is one of the form ax2 + bx + c = 0, where a, b, and c are numbers, and a is not equal to 0. So I think x = 4 but not 100%
Sorry if I'm wrong but I hope this helps
Step-by-step explanation:
Total dogs and chickens = 14
If there are 10 dogs = 10 x 4 = 40 legs
If there are 4 chickens = 4 x 2 = 8
So 40 + 8 = 48
Answer:
#7 is congruent
#8 is not congruent
Step-by-step explanation:
#7 is congruent because of the angle angle side triangle congruency theorem.
#8 is not congruent because it’s properties don’t match with any of the triangle congruency theorems.
Answer:
The total distance traveled by the particle is S = 30.
Step-by-step explanation:
Given that velocity,
v(t) = 2t + 1
To find the total distance travel, we integrate the velocity function, v(t), to obtain the distance function s(t), and evaluate the resulting distance at the interval given. That is at t = 0 to t = 5.
Integrating v(t) with respect to t, we have
s(t) = t² + t + C.
At t = 5
s(5) = 5² + 5 + C
= 25 + 5 + C
= 30 + C
At t = 0
S(0) = 0 + 0 + C
= C
The required distance is now
S(5) - S(0)
= 30 + C - C
= 30.
Answer:
Sophie has 12.5 cards
Step-by-step explanation:
Let
x -----> number of cards Sophie has
y -----> number of cards Jackie has
we know that
x+y=30 -----> equation A
y=x+5 -----> equation B
Solve by substitution
Substitute equation B in equation A and solve for x
x+(x+5)=30
2x=30-5
x=12.5 cards
Note I assume the problem was invented without taking into account the result, because the amount of cards should be a whole number
