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
Dmitriy789 [7]
3 years ago
6

Please help! Will give brainliest!

Mathematics
1 answer:
const2013 [10]3 years ago
8 0
<h3>1.</h3>

The equation in point-slope form:  y - y₁ = m(x - x₁)

slope:  m = -2

point:   (4, -5)   ⇒   x₁ = 4, y₁ = -5

Therefore, the equation of the line in point-slope form:

<h3>y + 5 = -2(x - 4)</h3>

<h3>2.</h3>

The equation in slope-intercept form:   y = mx + b

Parallel lines has the same slope, so:

y = 4x + 2     ⇒    a = 4

If a line passes through the point <em>(x₁, y₁) </em>then the equation y<em>₁</em> = mx<em>₁</em> + b is true.

(4, 6)  ⇒   x₁ = 4, y₁ = 6  

So:   6 = 4·4 + b  ⇒   b = -10

Therefore the equation:  

<h3>y = 4x - 10</h3>

<h3>3.</h3>

a = 3

(-1, 1)  ⇒   x₁ = -1, y₁ = 1  

So:   1 = 3·(-1) + b  ⇒   b = 4

The equation:  

<h3>y = 3x + 4</h3>

<h3>4. </h3>

The product of slopes of perpendicular lines is -1.

2x - 7y = 1    ⇒  7y = -2x + 1   ⇒  y = -²/₇x + ¹/₇

-²/₇×m = -1    ⇒   m = ⁷/₂

(0, -4)  ⇒   x₁ = 0, y₁ = -4  

-4 = ⁷/₂·0 + b   ⇒   b = -4

The equation:

<h3>y = ⁷/₂x - 4</h3>
You might be interested in
Jada purchases a sweater for $36. The store charges her 8% sales tax on the purchase. How much sales tax will the store charge o
dusya [7]

Answer:

Step-by-step explanation:

36/100=0.36 - 1%

8*0.36=2.88$

6 0
2 years ago
1. The county fair charges $1.25 per Sicket for the rides. Jermaine bought 25 tickets for the rides and spent a
schepotkina [342]

Answer:

A

Step-by-step explanation:

6 0
3 years ago
MODELING REAL LIFE The table shows the profit y for recycling x pounds of aluminum. Find the profit for recycling 75 pounds of a
True [87]

Answer: 33.75

Step-by-step explanation:

It’s right

8 0
2 years ago
en la plaza de un pueblo se quiere colocar una estatua dedicada a un ciudadano. Se desea situarla a igual distancia de la iglesi
notka56 [123]

Answer:

Step-by-step explanation:

hhh

8 0
3 years ago
Please help me thank you
nexus9112 [7]
It is 9 because 11 minus 2 is equal to 9.
3 0
3 years ago
Read 2 more answers
Other questions:
  • A farmer has 60 bales of hay stored in his barn. He feeds his cows 4 bales each day. Which graph represents the number of bales
    15·2 answers
  • Find (a) the number of subsets and (b) the number of proper subsets of the set.
    15·1 answer
  • Tom throws a ball into the air. The ball travels on a parabolic path represented by the equation , where represents the height o
    12·1 answer
  • What applies the power of a product rule to simplify (5t)^3
    11·1 answer
  • The measure of one of the acute angles in a right triangle is 59°.
    8·2 answers
  • help asap im giving 27 points, dont guess and please help I tried getting help and everyones dissing me
    10·2 answers
  • What is the total surface area?? PLEASE HELP THIS IS A QUIZ IM SO CONFUSED
    13·1 answer
  • Could someone please help I will give brainiest to best answer but please show steps?
    15·2 answers
  • Select all statements that are true about the triangles.
    7·1 answer
  • Please help ill give you 50 points
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!