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BigorU [14]
2 years ago
12

Three lines are described below. Write an equation in slope-intercept form for each line.

Mathematics
1 answer:
grigory [225]2 years ago
7 0

a. Equation in slope-intercept form of a line parallel to y = 2/5x +1 will be: y = 2/5x + 5

b. Equation in slope-intercept form of a line perpendicular to y = 2/5x +1 will be: y = -5/2x + 1

c.  Equation in slope-intercept form of a line that is neither parallel nor perpendicular to y = 2/5x +1 will be: y = 3x + 1

<h3>Slope-intercept Equation of Parallel and Perpendicular Lines</h3>
  • Slope-intercept equation, where b is the y-intercept and b m is the slope is represented as y = mx + b.
  • Equations of parallel lines have the same slope.
  • Equations of perpendicular lines will have slope that are negative reciprocal of each other.
  • If two lines are neither parallel nor perpendicular, their equation will have different slopes, and the slope of one is not the negative reciprocal of each other.

Therefore:

a. Equation in slope-intercept form of a line parallel to y = 2/5x +1 will be: y = 2/5x + 5

b. Equation in slope-intercept form of a line perpendicular to y = 2/5x +1 will be: y = -5/2x + 1

c.  Equation in slope-intercept form of a line that is neither parallel nor perpendicular to y = 2/5x +1 will be: y = 3x + 1

Learn more about slope-intercept form on:

brainly.com/question/25826868

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Sean and his family are picking strawberries at a pick-your-own fruit farm. The rectangular strawberry field has an area of 210,
nasty-shy [4]

Answer:

512 ft is the length of the field

Step-by-step explanation:

Firstly, we need to know the area of the field. We have confirmed this to be rectangular. Since it’s a rectangular field, the area of the field can be obtained by multiplying the length of the field by the breadth or width of the field.

Mathematically A = L * W

In the question, A = 210,944 ft^2

L= ? and W = 412ft

In essence, we are trying to calculate the value for the length of the field

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Vsevolod [243]

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( - 12  \div 3) \times ( - 8 +   ({ - 4})^{2}  - 6) + 2

= ( - 4) \times ( - 8 + 16 - 6) + 2

= ( - 4) \times (2) + 2

=  - 8 + 2

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5 0
2 years ago
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The side lengths of a triangle are 7, 24, and 25. Is this triangle a right triangle?
IrinaVladis [17]

Answer:

yes

Step-by-step explanation:

for it to be a right triangle you should be able to add two of the sides and it be greater than the third side. 7 + 24 > 25

24 + 25 > 7

7 + 25 > 24 therefore it is indeed a right triangle

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Solve the following system of equations by the substitution method.
ruslelena [56]
5x = y + 6 (I)
2x - 3y = 4 (II)
-------------------
We have:
5x = y + 6 → x =  \frac{y+6}{5}

Soon:
2x - 3y = 4 → 2* (\frac{y+6}{5}) - 3y = 4\to \frac{2y+12}{5} - 3y = 4
<span>least common multiple (5)
</span>\frac{2y+12}{5} - 3y = 4\to \frac{2y+12}{\diagup\!\!\!\!\!5} - \frac{15y}{\diagup\!\!\!\!\!5} = \frac{20}{\diagup\!\!\!\!\!5}
2y + 12 - 15y = 20
- 15y + 2y = 20 - 12
- 13y = 8
\boxed{\boxed{y = - \frac{8}{13} }}\end{array}}\qquad\quad\checkmark


4 0
3 years ago
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