Answer:
x = - 1, x = 
Step-by-step explanation:
Given
8x² + 7x - 1 = 0 ← in standard form
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term
product = 8 × - 1 = - 8 and sum = + 7
The factors are + 8 and - 1
Use these factors to split the x- term
8x² + 8x - x - 1 = 0 ( factor the first/second and third/fourth terms )
8x(x + 1) - 1(x + 1) = 0 ← factor out (x + 1) from each term
(x + 1)(8x - 1) = 0
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
8x - 1 = 0 ⇒ 8x = 1 ⇒ x =
Answer:
Center (7,2); Radius - Square Root of 10
Step-by-step explanation:
Equation for a Cricle:
(x−h)^2 + (y−k)^2 = r^2
Where:
h = x-coordinate of the center of the circle
k = y-coordinate of the center of the circle
r = radius of the circle
For this problem, your h = 7, k = 2, and r = square root of 10
Answer:
Standard Form: x^2 + 10x + 24
Step-by-step explanation:
In order to solve this, you would have to find the area of ALL of the shapes provided:
Blue Shape: The area is x^2 (X squared)
Green Shape: Area is 6x
Purple Shape: Area is 4x
Orange Shape: 24
The make the area of the whole shape
Top would be x^2 + 6x
While side would be 4x + 24
Now you can find the area!
x^2 + 6x +4x + 24
x^2 + 10x +24
Answer:
The answer is y = 5x
Step-by-step explanation:
Yes, this equation is a linear equation.
because it has degree 1
<u>Standard </u><u>Form</u>
y = 4x + x
y = 5x
Thus, The answer is y = 5x
<u>-TheUnknownScientist</u><u> 72</u>
Answer:
480 miles.
Step-by-step explanation:
Let x represent the distance between Maria's house and mountains ans r represent Maria's rate for going trip.
We have been given that there was heavy traffic on the way there, and the trip took 12 hours.
We are also told that hen Maya drove home, there was no traffic and the trip only took 8 hours. Maria's average rate was 20 miles per hour faster on the trip home.
So Maria's speed while returning back would be 
.
Upon equating both distances, we will get:
Upon substituting in equation , we will get:
Therefore, Maya live 480 miles away from the mountains.
