Answer:
b = 7, c = -44
Step-by-step explanation:
If the quadratic equation has the solutions -11 and 4, the two factors are:
Since when we use the zero factor property we get
x+11=0 ⇒ x= -11
x-4=0 ⇒ x=4
Thus, we have used the zero factor property in reverse to find the factorization of the quadratic equation.
Now we develop the multiplications between parenthesis:
So b is the number that accompanies the x: b = 7
and c is the independent number: c = -44
Answer:
m = 7.1
Step-by-step explanation:
3 (m -5) + 8 = 7 -1/2 (4m - 11)
So, what I did first was distribute the values in the parenthesis to get,
3m - 15 + 8 = 7 -2m -5.5
Now that we have the parenthesis taken care of we can do the simpler math,
3m - 23 = 7 -2m - 5.5
I just added the 15 and 8, so now I move the -5.5 to the opposite side by adding.
3m - 23 = 7 -2m -5.5
<u> +5.5 +5.5</u>
3m - 28.5 = 7 - 2m
Here we can do the same with the -2m.
3m - 28.5 = 7 - 2m
<u>+2m +2m</u>
5m - 28.5 = 7
To get rid of the -28.5 I added it to the 7 getting an answer of,
5m - 28.5 = 7
<u> + 28.5 +28.5</u>
5m = 35.5
Finally, divide 5m and 35.5 both by 5.
5m/5 = m
35.5/5 = 7.1
Answer: m=7.1
Sorry it's really long, but I hope this helps! Have a great day!
Answer:
Step-by-step explanation:
According to the diagram ,
Hypotenuse = 10√3
Opposite = x
Adjacent = y
α = 60
Using SOHCAHTOA ,
Sin α = opp / hyp
Sin 60= x/10√3
√3/2= x/10√3
x = 15
Pythagoras theorem ;
Hypotenuse ^2 = Opposite ^2 +Adjacent ^2
10√3 ^2 = 15^2+ y^2
300 = 225 +y ^2
300 -225 = y^2
75 = y^2
y = √75y
y = 5√3
Answer: first fish is -4 and the other is -3
-3 is greater
Step-by-step explanation:
I big brain pls mark brainliest
Slope is m= y2- y1 / x2- x1.
Billy flipped both where the numbers go, and in which order they should be in.
It should be -5-5 / -2-2 giving you zero (0).
