1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
miskamm [114]
3 years ago
15

HELP PLEASE

Mathematics
1 answer:
nordsb [41]3 years ago
7 0

Answer:

<h3>perpendicular line:    y = -¹/₆ x + 4¹/₃ </h3><h3>  parallel line:              y = 6x - 45 </h3>

Step-by-step explanation:

y=m₁x+b₁   ⊥   y=m₂x+b₂   ⇔    m₁×m₂ = -1

{Two lines are perpendicular if the product of theirs slopes is equal -1}

y = 6x - 7   ⇒   m₁=6

6×m₂ = -1        ⇒    m₂ = -¹/₆

 

The line y=-¹/₆ x+b passes through point (8, 3) so the equation:

3 = -¹/₆ ×8 + b must be true

3 = -⁴/₃ + b

b = 4¹/₃

Therefore equation in  slope-intercept form:

                                                     y = -¹/₆ x + 4¹/₃

y=m₁x+b₁   ║   y=m₂x+b₂   ⇔    m₁ = m₂

{Two lines are parallel if  their slopes are equal}

y = 6x - 7   ⇒   m₁=6   ⇒   m₂=6

The line y=6x+b passes through point (8, 3) so the equation:

3 = 6×8 + b must be true

3 = 48 + b

b = -45

Therefore equation in  slope-intercept form:

                                                     y = 6x - 45

You might be interested in
When building the Channel, the English and French each started drilling on opposite sides of the English Channel. The two sectio
Alekssandra [29.7K]

Suppose the English could drill the Channel in 6.2 years, then they drill with speed \dfrac{L}{6.2} km per year, where L is the length of the English Channel. If the French could drill in 5.8 years, then their speed of drillling is \dfrac{L}{5.8} km per year.

Together their speed will be

\dfrac{L}{6.2} +\dfrac{L}{5.8} =\dfrac{5.8L+6.2L}{6.2\cdot 5.8}=\dfrac{12L}{35.96}=\dfrac{3L}{8.99}.

If they drill together, they will spend

\dfrac{L}{\frac{3L}{8.99}} =\dfrac{8.99}{3}=2.9966666....\approx 3 years.

Answer: it would have taken nearly 3 years.

7 0
3 years ago
What is the ratio of 1.5 inch screws to 2.5 inch screws?
Ugo [173]

Step-by-step explanation:

1.5 : 2.5

= 1.5/2.5

15/25

3/5

the ratio is 3 : 5

4 0
3 years ago
In a mathematics test, Azmah scored 17 marks more than Yazid while Suzana's score is twice of Yazid's score. If their total scor
natta225 [31]

Answer:

53 marks

Step-by-step explanation:

To sue a linear equation to solve the given problem, we must assign a function to the score of one of them. Let the score of Azmah be N. Then given that Azmah scored 17 marks more than Yazid, Yazid's score will be

= N - 17

Given that Suzana's score is twice of Yazid's score, then Suzana's score

= 2(N - 17)

If their total score is 161 then

N + N - 17 + 2(N - 17) = 161

4N = 161 + 51

4N = 212

N = 53 . This is Azmah's score

3 0
3 years ago
Which of these is a simplified form of the equation 7y + 8 = 9 + 3y + 2y? 7y = 6 5y = 17 12y = 17 2y = 1
LekaFEV [45]
7y +8= 9+3y+2y

Combine like terms.

7y+8= 9+5y

Subtract 5y on both sides.

2y+8=9

Subtract 8 on both sides.

2y=1

Your answer is 2y=1

I hope this helps!
~kaikers
4 0
3 years ago
Read 2 more answers
Solve:<br> sin5x - cos2x + sin x = 0.
mote1985 [20]

Answer:

x = 10 , 45 degrees.

Step-by-step explanation:

This seems a tricky one .

I guess we can use   sin A + sin B =  2 sin (A+B)/2 cos (A - B) / 2

so sin 5x + sin x = 2 sin 3x cos 2x so our equation becomes

2 sin 3x cos 2x - cos 2x = 0

cos 2x ( 2 sin 3x - 1) = 0

so 2 sin 3x = 1

sin 3x = 1/2

giving 3x = 30 degrees and x = 10 degrees

or cos 2x = 0

so 2x = 90

giving x = 45 degrees.

8 0
3 years ago
Other questions:
  • Anybody can help me with this question please
    14·2 answers
  • Help I don't know the answer.
    6·1 answer
  • I need help in determining which two whole numbers lie between?
    11·2 answers
  • What’s the answer?????
    8·2 answers
  • Solve 3x+4x= totally not free pointz
    14·2 answers
  • A police department reported that approximately 5% of the alarm calls they get each day are real emergencies and not false alarm
    11·2 answers
  • To observe a session of the state senate, 18 students are visiting the state capitol. They will tour the capital in groups with
    9·1 answer
  • Please explain how to solve 8h=6h-14
    13·1 answer
  • Paul is exactly 6yrs older than jane.the ratio of their ages is5:3.how old is paul
    13·2 answers
  • The distance a train travels between 2 cities is 540 miles. The train travels at a speed of 80 miles per hour. Matt set up these
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!