Answer:
No real roots
Step-by-step explanation:
Given
7x² + 5x + 1 = 0 ← in standard form
with a = 7, b = 5, c = 1
To determine the nature of the roots use the discriminant
Δ = b² - 4ac
• If b² - 4ac > 0 then roots are real and distinct
• If b² - 4ac = 0 then roots are real and equal
• If b² - 4ac < 0 then the roots are not real
Here
b² - 4ac = 5² - (4 × 7 × 1) = 25 - 28 = - 3
Thus the 2 roots are not real
Answer:
(5,15)
Step-by-step explanation:
We know that 225 = 15a + 10c, and he purchased a total of 20 tickets, so
a + c = 20, using this, we know that c = 20 - a, we can substitute this for c in 225 = 15a + 10c to get:
225 = 15a + 10(20 - a) =
225 = 15a + 200 - 10a
225 = 5a + 200
25 = 5a
a = 5
Now we substitute 5 for a:
225 = 15a + 10c
225 = 15(5) + 10c
225 = 75 + 10c
150 = 10c
c = 15
so a = 5 and c = 15, the solution is (5,15)
P.S. I'm the guy who did your other question
4×2=8 so n=2 and 8+12=20 so ?=12
Answer:
Length of the tunnel is 51.7 meters
Step-by-step explanation:
We are given that,
The surveyor is located 54 meters from one entrance at an angle of 56°.
The surveyor is located 31 meters from one entrance at an angle of 13°.
Let the length of the tunnel = x meters
So, using the law of cosines, we get,
i.e. 
i.e. 
i.e. 
i.e. x = 51.7 meters
Hence, the length of the tunnel is 51.7 meters
9514 1404 393
Answer:
1 mile
Step-by-step explanation:
5 × (1/5 mi) = 5/5 mi = 1 mi
The students ran 1 mile in all.
