Answer:
see explanation
Step-by-step explanation:
Given the 2 equations
y = x² + 2x + 7 → (1)
y - 7 = x → (2)
Rearrange (2) expressing y in terms of x by adding 7 to both sides
y = x + 7 → (3)
Substitute y = x + 7 into (1)
x + 7 = x² + 2x + 7 ( subtract x + 7 from both sides )
0 = x² + x ← factor out x from each term
0 = x(x + 1)
Equate each factor to zero and solve for x
x = 0
x + 1 = 0 ⇒ x = - 1
Substitute these values into (3) for corresponding values of y
x = 0 → y = 0 + 7 = 7
x = - 1 → y = - 1 + 7 = 6
The solutions are
(- 1, 6 ) and (0, 7 )
Answer:
Step-by-step explanation:
Dan bought 8 shirts and 3 pants. This means that the ratio representing the number of shirts to the number of pants that Dan bought is 8/3 = 2.67
Devonte bought 12 shirts and 5 pants. This means that the ratio representing the number of shirts to the number of pants that Devonte bought is 12/5 = 2.4
Therefore, they are not equivalent ratios because the relationship is not exactly the same.
Use the app math lens if you have a picture
Answer:
Step-by-step explanation:
Answer:
1. 6pi or 18.84cm
2. 20pi or 62.8cm
3. 13pi or 40.82cm
4. 9.5pi or 29.83cm
5. You calculate the circumference of a circle with the expression 2pi(r). r stands for the radius. You can also use pi(d), or pi x diameter.
7. You would use 2pi(r) to find the circumference of a circle when given the value of the circle's radius.
8. You would use pi(d) to find the circumference of a circle when given the value of the circle's diameter.
