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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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torisob [31]

Answer:

∠A and ∠C are vertical and equal in measure

∠C is adjacent to the angle that is 27°

∠C and ∠B are supplementary

∠A and ∠B are supplementary AND adjacent

All of them are correct

Step-by-step explanation:

<u><em>This is just how to find the angles.</em></u>

"When two lines intersect they form two pairs of opposite angles, A + C and B + D. Another word for opposite angles are vertical angles. Vertical angles are always congruent, which means that they are equal. Adjacent angles are angles that come out of the same vertex." - MathPlanet

The 27° and the 90° angles added up equal ∠B

∠B = 117°

360°-117°-117°=∠A & ∠C

∠A + ∠C = 126°

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8 0
3 years ago
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Kitty [74]

Answer:

7. x = 10

8. x = 13

9. x = 17

10. x = 5

11. x = 9

12. x = 11

Step-by-step explanation:

Explanation for Number 7.

The exterior angle is always equl to the sum of the two opposite interior angles.

The two opposite interior angles: 62 and (7x + 14)

The exterior angle: (15x - 4)

So you would set it up like _____ = ______ to solve for x

62 + (7x +14) = 15x - 4

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Then move the terms

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Collect the like terms and Calculate

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Divide both Sides

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/8       /8

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/-1    /-1

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Hope this helps ^^

5 0
2 years ago
The money in Mrs.Finch's savings account earning 1.45% interest.Which number is below greater than 1.45%
Leokris [45]
Any number 1.44 and lower is possible. i dont know too many details, but given this i can figure some out.
3 0
3 years ago
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Delicious77 [7]

Answer:

The formula of the volume of a cylinder is known as follow

<h2>V= πr²h</h2>

Where

π is 3,14 or 22/7.

d (diameter) is a straight line segment that crosses a center and connects two points on the circle.

r is the radius of the to part of the cylinder.

h is the height.

we can subsitute to our formula knowing that

d = 4cm (turn to r = <em>2cm</em>,because the formula use r) ; h = 11cm

V = πr²h

= 3,14 × 2² × 11

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