Answer:
slope = - 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, - 3) ← 2 points on the line
m = 
= 
= - 3
Answer:
3, 4, and 5
Step-by-step explanation:
Given: We're looking for x, x+1, and x+2
Requirements: (x+1)+(x+2)=3(x)
Solve equation:
x+1+x+2=3x
2x+3=3x
3=x
This means the three consecutive integers are 3, 3+1, and 3+2 which is the same as 3, 4, and 5
9514 1404 393
Answer:
3i, 9+2i
Step-by-step explanation:
Polynomials with real coefficients have complex zeros in conjugate pairs. The conjugates of the given complex zeros are the ones that are remaining:
3i and 9+2i
<h2>Systems of Equations Word Problems</h2>
To solve these questions, we can translate key words into operations.
- <em>Older</em> = add
- <em>Less</em> <em>than</em> = subtract
<h2>Solving the Question</h2>
We're given:
- Carlos' age is 5 less than 3 times his brother's age
- Carlos' age is 11 years higher than his brother's age
There are two variables present in this problem: Carlos' age and his brother's age.
- Let Carlos' age equal <em>x</em>
- Let his brother's age equal <em>y</em>
Translate the given information into equations:
- Carlos' age is 5 less than 3 times his brother's age
⇒ 
- Carlos' age is 11 years higher than his brother's age
⇒ 
We can solve for <em>y</em>, his brothers age, using substitution:
Now, solve for <em>x</em> by substituting <em>y</em> in either of the equations:
Therefore, Carlos is 19 years old.
<h2>Answer</h2>
Carlos is 19 years old.
Answer:
3 degrees
because there is a 3 degree difference between 9 and 12
