Slope-intercept form: y = mx + b
(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)
For lines to be parallel, they need to have the same slope.
To find the slope (m), use the slope formula:
And plug in the two points
(-2, 7) = (x₁, y₁)
(4, -5) = (x₂, y₂)
(two negative signs cancel each other out and become positive)
Simplify the fraction
m = -2
The slope is -2, so the parallel line's slope is also -2.
Your answer is C
Answer:
18.7 years
Step-by-step explanation:
This is a compound interest problem and the following variables have been given;
Principal = 4000; this is the amount o be invested
APR = 9%; this is the compound interest to be earned
Accumulated amount = 20,000
We are required to determine the duration in years. We apply the compound interest formula;
The next step is to introduce natural logarithms in order to determine n;
The number of years required is thus 18.7 years
Answer:
180-60 = 120 if triangle is not equilateral it cannot be isosceles then depending where the angles are they will show 60,60,60 if equilateral
For isosceles it would need to be 58 61 61 as 60, 60,60 cannot be isosceles.
Vectors 60 if right angled triangle = 90-60 = 30
So angles = 30 and 90 degree or just 120 if angle theta is a vector as explained below.
Step-by-step explanation:
Statement: If two vectors are represented by the sides of a triangle both in magnitude and direction taken in order, the resultant sum of the vectors is given by the closing third side of the triangle taken in the reverse order both in the magnitude and direction
Answer:
Whether you're teaching the meaning of fractions or fraction operations, visual models can help students connect fractions to what they already know. Division is an essential foundation for fractions. Once students can divide objects into equal groups, they can begin to grasp dividing a whole into equal parts.
Step-by-step explanation:
Answer:
See explanation
Step-by-step explanation:
You are given the equation 
1. Add 8 negative x-tiles to both sides of the equation to create a zero pair on the left side. The equation then will have form
2. Add 5 negative unit tiles to both sides of the equation to create a zero pair on the right side. The equation now is
3. Divide both sides by 3:
