Solve the quadratic equation by factoring:
x² + 10x + 13 = 4
Subtract 4 from both sides:
x² + 10x + 13 – 4 = 4 – 4
x² + 10x + 9 = 0
Now, look for two numbers so their sum is 10, and their product is 9. You can search within the set of the divisors of 9, for instance:
D(9) = {1, 3, 9}
Taking the numbers 1 and 9, you find that
• 1 + 9 = 10;
• 1 · 9 = 9.
So, in the equation, rewrite conveniently 10x as 9x + x, then it becomes
x² + 9x + x + 9 = 0
Factor the equation above by grouping. Take out the common factor x from the first two terms at the left-hand side:
x · (x + 9) + x + 9 = 0
x · (x + 9) + 1 · (x + 9) = 0
Now, take out the common factor (x + 9):
(x + 9) · (x + 1) = 0
If a product equals zero, the one of the factors must be zero:
x + 9 = 0 or x + 1 = 0
x = – 9 or x = – 1 <——— those are the solutions.
Solution set: S = {– 9, – 1}.
I hope this helps. =)
Answer:
C. Both are forthright and confident.
Explanation:
Emily Dickinson's poems "Some Keep the Sabbath Going to Church" and "Because I Could Not Stop for Death" are poems that reflect the poet's real feelings towards things or issues that are accepted to be normal behavior or accepted norms.
But in expressing her own take on both issues, be it attending church as a show of one's religiousness, or death, Dickinson asserts her own beliefs and opinions against the 'normal'. And in both poems, she is forthright and confident in what she believes and shows.
Thus, the correct answer is option C.
ANSWER
correct to 3 decimal places is
EXPLANATION
We start counting from the first number after the decimal point.
So starting from 2, we count 3 decimal places to the right and land on 4.
Next, we check to see if the number after 4, is greater or equal 5, then we round up, else we round down.
Since that number is 5, it is greater than or equal to 5.
Therefore we round up to obtain
Answer:
1
Step-by-step explanation:
The slope would be 1. Using the equation y^2 - y^1 / x^2 -x^1, you would substitute the plots into the equation. -5 + 13 / 1 + 7 = 8/8 or 1. The 13 and 7 would be added because subtracting a negative is the same as adding a positive.
Answer:
v (E) = √(2E/m)
Step-by-step explanation:
From the question given:
E = ½mv²
E is the kinetic energy
m is the mass of object
v is the velocity.
To find a model v(E) for the velocity of the object, we simply make V the subject of the above equation.
This can be obtained as follow:
E = ½mv²
Cross multiply
mv² = 2E
Divide both side by m
v² = 2E/m
Take the square root of both side
v = √(2E/m)
Therefore, the model v(E) for the velocity of the object is given by:
v (E) = √(2E/m)