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masha68 [24]
3 years ago
15

Write the point-slope form of the line that passes through (5, 5) and is perpendicular to a line with a slope of . Include all o

f your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution.
Mathematics
1 answer:
gregori [183]3 years ago
7 0

Answer:

y - 5 = -4(x - 5)

Step-by-step explanation:

Slope = 1/4

Perpendicular, slope is opposite and reciprocal so slope = -4

The point-slope form of the line that passes through (5, 5)

y - 5 = -4(x - 5)

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Four times the larger of two consecutive even integers is ten less than the smaller. What is the larger of these two numbers?
anygoal [31]

Answer:

-4 is the larger integer

Step-by-step explanation:

n = smaller integer

n + 2 = larger integer

4(n+2) = n-10

4n + 8 =  n - 10

3n + 8 = -10

3n = -18

n = -6

n+2 = -4

7 0
3 years ago
Help!! Can someone put me out my misery
marissa [1.9K]

Answer: 0.14

Step-by-step explanation:

1) Find the total #of seniors. To do this add up 25+5+5 = 35.

2)Since we know the number of seniors that work just do 5/35. This simplifies to 0.14 rounded to the nearest hundreth.

8 0
3 years ago
What is the the area of a sector of a circle with a radius of 9 centimeters and formed by a central angle that measures 120
dem82 [27]

Answer:

27π cm²

Step-by-step explanation:

step 1

Find the area of the complete circle

The area of the circle is equal to

A=πr²

we have

r=9 cm

substitute

A=π(9)²=81π cm²

step 2

Remember that the area of complete circle subtends a central angle of 360°

so

using proportion

Find the area of a sector formed by a central angle that measures 120°

81π/360°=x/120°

x=120°*81π/360°

x=27π cm²

5 0
3 years ago
Given 14 – 2(x + 8) = 5x – (3x – 34), prove x = -9 what are the steps to be able to prove x=-9
Veronika [31]

Answer: x = -9

steps

Simplifying

14 + -2(x + 8) = 5x + -1(3x + -34)

Reorder the terms:

14 + -2(8 + x) = 5x + -1(3x + -34)

14 + (8 * -2 + x * -2) = 5x + -1(3x + -34)

14 + (-16 + -2x) = 5x + -1(3x + -34)

Combine like terms: 14 + -16 = -2

-2 + -2x = 5x + -1(3x + -34)

Reorder the terms:

-2 + -2x = 5x + -1(-34 + 3x)

-2 + -2x = 5x + (-34 * -1 + 3x * -1)

-2 + -2x = 5x + (34 + -3x)

Reorder the terms:

-2 + -2x = 34 + 5x + -3x

Combine like terms: 5x + -3x = 2x

-2 + -2x = 34 + 2x

Solving

-2 + -2x = 34 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.

-2 + -2x + -2x = 34 + 2x + -2x

Combine like terms: -2x + -2x = -4x

-2 + -4x = 34 + 2x + -2x

Combine like terms: 2x + -2x = 0

-2 + -4x = 34 + 0

-2 + -4x = 34

Add '2' to each side of the equation.

-2 + 2 + -4x = 34 + 2

Combine like terms: -2 + 2 = 0

0 + -4x = 34 + 2

-4x = 34 + 2

Combine like terms: 34 + 2 = 36

-4x = 36

Divide each side by '-4'.

x = -9

7 0
3 years ago
mile is going to give buddys dads company 5 hour and not a minute more. what part of the day is he giving them written as a frac
cluponka [151]

The fraction of the time given in a day is 1/288

Given the following parameters

  • The minute that mile gave his buddy = 5minuts

We are to get the fraction of this time in a day.

Convert 1 day to minute

  • 1 day = 24 hrs * 60 mins
  • 1 day = 1440 minuts

Fraction = 5/1440

Fraction = 1/288

Hence the fraction of the time given in a day is 1/288

Learn more on fractions here: brainly.com/question/78672

7 0
2 years ago
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