Write an equation of the line that passes through the given point and is (a) parallel and (b)
perpendicular to the given line

Write An Equation Of The Line That Passes Through The Given Point And Is (a) Parallel And (b)perpendicular

Answers

Answer 1

Answer:

parallel line: y=-3x+14

perpendicular line: y=1/3x +2/3

Step-by-step explanation:

For the parallel line, use the point-slope formula to find the equation of the parallel line (since the slope is the same as the given line and the point (4,2) is given. For the perpendicular line, use the opposite reciprocal of the slope of the given line and use the point-slope formula again. The point-slope formula is Y-Y1=m(X-X1)


Related Questions

1. A vendor at the farmer's market was selling a bag of 8 potatoes for $2.56. Another
vendor was selling a bag of 10 potatoes for $4.32. Which bag is the better deal?

Answers

Answer:

The second bag is the better deal

Step-by-step explanation:

8÷2.56= $3.13 per potato

10÷ 4.32= $2.31 per potato

Select the correct answer.
A building has a triangular rooftop terrace which is modeled by triangle A BC. In triangle A BC, the measure of XA is 55°. the measure of
XB is 65°, and the measure of C is 60°.
Which side of the terrace has the greatest length?

Answers

Considering the angles of the triangle, side AC has the greater length, as it is opposite to the greatest angle.

Which side has the greatest length on a triangle?

It is the side that is opposite to the angle with the greatest measure.

In this problem, angle B has the greatest measure, of 65º, hence side AC has the greater length, as it is opposite to angle B.

More can be learned about the length of triangles at https://brainly.com/question/305520

#SPJ1

Answer:

Side AC has the greatest length

Step-by-step explanation:

Complete the two column proof

Answers

Answer:

Step-by-step explanation:

a. addition

b. division

c. given

14.) AXYZ is shown.
Y
124°
34°
22°
X
Z
What are the side measures in order from
least to greatest?

Answers

Answer:

22 , 34 , 124

Step-by-step explanation:

hope this helps!

please answer fast...
785 divided by 10. AND IF YOU EXPLAIN HOW YOU GOT YOUR ANSWER I WILL GIVE YOU 5 STARS RATING.

Answers

Answer:

785/10=78.5

Step-by-step explanation:

You move the decimal point back a slot since your dividing by 10

Answer:

78.5

Step-by-step explanation:

i used a calculator bc im bad at lond division XD

need help with question 4

Answers

Step-by-step explanation:

it's option D (x³)

hope this helps you.

Which of these equals 2.427? Select all that apply. A 1.34 + 1.087 B 1.4 + 1.027 C 8.35 - 5.923 - D 6 - 3.573. Please help I'm doing my homework

Answers

Answer:

All of them are equal to 2.427

Step-by-step explanation:

A = 2.427

B = 2.427

C = 2.427

D = 2.427

______________ Angles have each of the pairs of opposite angles made by two intersecting lines *
1 point
Supplemnatary
vertical
adjacent
linear pair

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

The Correct choice is B. Vertical

Vertical Angles have each of the pairs of opposite angles made by two intersecting lines .

Answer:

vertical

✌️❤️✌️

......

Which of the following fractions is equivalent to 1/7?
1. 3/28
2. 1/14
3. 4/28
4. 3/14

Answers

Answer: 3, 4/28

Step-by-step explantation: 1 x 4 is 4, and 7 x 4 is 28. Therefore, 1/7 is equal to 7/28.

The answer is number 3 which is 4/28 is equivalent to 1/7

A pair of dice is rolled. What is the probability that the sum is nine or that the first number is a two?

Answers

Answer:

I think is 1/9

Because they say the sum is 9 and what will be chance in landing in 2

A 14​-oz iced tea at a certain restaurant has 140 calories. How many calories are there in a 22​-oz iced​ tea?

Answers

Answer:

220 calories

Step-by-step explanation:

Cross multiply and then divide:

[tex]\frac{14}{22}= \frac{140}{x}[/tex]

140 x 22 = 3080

3080 / 14 = 220

Are the ratios 12:6 and 2:1 equivalent?

Answers

Answer:

no

Step-by-step explanation:

https://brainly.com/question/18232055

Answer:

Yes!

Step-by-step explanation:

Here, ratios can be rewritten by fractions.

12:6 is [tex]\frac{12}{6}[/tex] which equals to 2,

2:1 is also [tex]\frac{2}{1}[/tex] which is 2.

To get 12 from 2, you multiply by 6.

Multiply the same thing to the denominator(1), and you get 6. So:

12:6 = 2:1

A cook has 32 ounces of a 5% apple cider vinegar that she wants to
dilute to a 3% apple cider vinegar. How much water does she need
to add to obtain that concentration?

Answers

The cook needs to add 21.333 ounces of water to obtain a 3 % concentration.

In matter of units, concentration equals to to the mass of cider vinegar ([tex]m_{c}[/tex]) divided by mass of water ([tex]m_{w}[/tex]), both expressed in ounces. A reduction on concentration implies that mass of cider vinegar remains constant while mass of water is increased.

Now we derive expressions for the initial and final concentrations for cider vinegar:

Initial concentration

[tex]c_{i} = \frac{m_{c}}{m_{w}+m_{c}}[/tex] (1)

Where:

[tex]m_{w}[/tex] - Initial water mass, in ounces. [tex]c_{i}[/tex] - Initial concentration ratio, no unit.

Final concentration

[tex]c_{f} = \frac{m_{c}}{m_{c}+m_{w}'}[/tex] (2)

Where:

[tex]m_{w}'[/tex] - Initial water mass, in ounces. [tex]c_{i}[/tex] - Initial concentration ratio, no unit.

Then, if we know that [tex]c_{i} = 0.05[/tex], [tex]c_{f} = 0.03[/tex], [tex]m_{w}+m_{c} = 32\,oz[/tex] and [tex]m_{c}+m_{w}' = 32 + x[/tex], then the addition of water is:

[tex]0.05 = \frac{m_{c}}{32}[/tex] (1b)

[tex]0.03 = \frac{m_{c}}{32+x}[/tex] (2b)

Then we eliminate [tex]m_{c}[/tex] in (1b) and (2b):

[tex]0.05\cdot 32 = 0.03\cdot 32 + 0.03\cdot x[/tex]

[tex]0.02\cdot 32 = 0.03\cdot x[/tex]

[tex]x = 21.333\,oz[/tex]

The cook needs to add 21.333 ounces of water to obtain a 3 % concentration.

To learn more on concentrations, we kindly invite to check this question: https://brainly.com/question/492238

Don’t understand this math question

Answers

Answer: the answer is 5^6

Step-by-step explanation:

When you are multiplying exponents with the same base you add the exponents so 3+3=6

PLEASE HELPPPPPPPPP
SOOOO I didn't pay attention to math class and their already on a whole new subject which is algebra I need help on equations like 5x-2x- x x=5 like what or 9z times 7p= Let z=2 and p=3 please help due tomorrow please walk me down easily how to do

Answers

Answer:

5x-2x-x = 10 9z • 7p = 378

Step-by-step explanation:

With equations like these you're basically just plugging numbers in where there are variables. so if you have 5x-2x-x when x=5, you just plug in 5 wherever x is. 5x-2x-x turns into (5•5)-(2•5)-(1•5). you multiply the expressions in the parentheses to get 25-10-5 and then you simply subtract.

1. 5x-2x-x

2. (5•5)-(2•5)-(1•5)

3. 25-10-5

4. 10

We can do the same thing with your second example. 9z•7p when z=2 and p=3. When there is a z, you plug in a 2. When there is a p, you plug in a 3.

1. 9z•7p

2. (9•2) • (7•3)

3. 18 • 21

4. 378

hope this helps :)

Samuel bought a cement mixer for $54,205. The value of the cement mixer depreciated at a constant rate per year. The table shows the value of the cement mixer after the first and second years: Year 1 2 Value (in dollars) 47,158. 35 41,027. 76 Which function best represents the value of the cement mixer after t years? f(t) = 47,158. 35(0. 87)t f(t) = 54,205(0. 13)t f(t) = 47,158. 35(0. 13)t f(t) = 54,205(0. 87)t.

Answers

The value of cement mixer after t year is [tex]f(t) = 54,205(0. 87)^{t}[/tex]

Given to us

The value of cement mixer when bought, [tex]P[/tex]= $ 54,205

the value of cement mixer after 1 year, [tex]P_1[/tex]=   $ 47,158. 35

the value of cement mixer after 2 year,[tex]P_2[/tex]=  $ 41,027. 76

To find out depreciation we can use the formula for depreciation,

[tex]P_n= P(1-r)^n\\where,\\P_n= Value\ of\ asset\ after\ n\ year\\P= Value\ of\ asset\ when\ bought\\r= rate\ of\ depreciation\\n= number\ of\ years[/tex]

By putting the value, in the formula we get,

[tex]P_1= P(1-r)^n\\\\47,158.35= 54,205\times (1-r)^1\\\\\dfrac{47,158.35}{54,205} = (1-r)\\\\0.87=1-r\\\\r=0.13[/tex]

Therefore, putting the value of [tex]r[/tex] and [tex]P[/tex] in depreciation formula for [tex]t[/tex] years we get,

[tex]P_n= P(1-r)^n[/tex]

[tex]f(t) = 54,205(0. 87)^{t}[/tex]

Hence, the value of cement mixer after t year is [tex]f(t) = 54,205(0. 87)^{t}[/tex].

To know more visit:

https://brainly.com/question/3023490

Help help hep math math

Answers

Answer:

96

Step-by-step explanation:

C=πd

C=?

π=3

d=32

C=3×32

Therefore C=96

PLEASE HELP ME RNNNNN!!!!!! I NEED THE ANSWERS

I really need help don’t answer if your not giving the correct answer don’t respond

Answers

Answer:

pretty sure its A

Step-by-step explanation:

please help asap!!!!

Answers

Answer:

justin biberis black

Step-by-step explanation:

Plz help me give me answer

Answers

Answer:

3

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Show Work to factor the binomials.

Answers

[tex](14)\\\\x^2 + 14x +45\\\\=x^2 +5x +9x +45\\\\=x(x+5) +9(x+5)\\\\=(x+9)(x+5)\\\\(15)\\\\x^2 +18x +45\\\\=x^2 +15x +3x +45\\\\= x(x+15) +3(x+15)\\\\=(x+3)(x+15)\\\\\\(16)\\\\x^2+46x+45\\\\=x^2 +45x +x +45\\\\=x(x+45) +(x+45)\\\\=(x+45)(x+1)[/tex]

i need help please thanks ​

Answers

Answer: a. The prices throughout the year of the items in a store.

Step-by-step explanation:

An input value cannot have multiple output values.

Can someone Please help me on this easy math problem

Answers

Answer:

the answer is x4/19P because u add the top of the numerator and times the denominator

60 is 15% of what number?

Answers

Answer:

400 is the number

Step-by-step explanation:

Is means equals and of means multiply

60 = 15% * W

Change to decimal form

60 = .15W

Divide by .15

60/.15 = .15W/.15

400= W

Help help math math

Answers

Answer:

C=31.41592654

Step-by-step explanation:

C=2πr

r=5

C=2π(5)

Therefore C= 10π or C=31.41592654

Answer:

C = 31.4

Step-by-step explanation:

Ten movie tickets cost $80. How much does a single movie ticket cost?

Answers

Answer:

$10

Step-by-step explanation:

$80 / 10 tickets = 8 per ticket

Which best describes the transformation(s) from f(x) to g(x) ? A. Vertical shift down 2, less steep B. Vertical shift down 4, less steep C. Vertical shift down 4, double the slope D. Half as steep

Answers

Answer:

b

Step-by-step explanation:

ive never seen the word less than steep used but ik none of the other ones are right and that it moves down vertically by 4

Stephanie has a -$40 balance on her credit card. She makes two additional charges to pay $20 for gas and $25 for parking. Then she makes a credit card payment of $30. What is her remaining balance?​

Answers

-40 -20 -25 -30 = -$115

Hey y’all,please help me :)

Answers

Answer:

-c-4≥8

Step-by-step explanation:

Just ask!

Hope this helps. :)

What is the domain of the function
y = √x

Answers

Answer:

[tex]0\leq x<\infty[/tex]

Step-by-step explanation:

The function [tex]y=\sqrt{x}[/tex] is not defined for negative numbers in the domain as they produce non-real results. Therefore, all positive numbers including 0 are included in the domain, so the domain of the function would be [tex]0\leq x<\infty[/tex].

I've attached a diagram to help you visualize the domain.

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