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
sasho [114]
3 years ago
15

What is an equation of the line that passes through the point (- 5, - 6) and is parallel to the line 4x - 5y = 35

Mathematics
1 answer:
Elena L [17]3 years ago
7 0

Answer:

4x - 5y = 10

Step-by-step explanation:

Any line parallel to 4x - 5y = 35 will have the same equation EXCEPT that the constant will be different.

Starting with 4x - 5y = 35, replace x with the given x-coordinate -5 and the given y-coordinate -6, and finally the given 35 with the constant C:

4(-5) - 5(-6) = C, or

-20 + 30 = C.  Thus, C = 10, and the equation of the new line is

4x - 5y = 10

You might be interested in
Give 1 pair of Vertical and 1 pair of Supplementary angles
mojhsa [17]

Solution:

Vertical angles are a pair of opposite angles formed by intersecting lines. re vertical angles. Vertical angles are always congruent.

These two angles (140° and 40°) are Supplementary Angles because they add up to 180°:

Notice that together they make a straight angle.

Hence,

From the image

The following pairs form vertical angles

\begin{gathered} \angle1=\angle3(vertical\text{ angles)} \\ \angle2=\angle4(vertical\text{ angles)} \\ \angle5=\angle7(vertical\text{ angles)} \\ \angle6=\angle6(vertical\text{ angles)} \end{gathered}

Hence,

One pair of the vertical angles is ∠1 and ∠3

Part B:

Two angles are said to be supplementary when they ad together to give 180°

Hence,

From the image,

The following pairs are supplementary angles

\begin{gathered} \angle5+\angle6=180^0(supplementary\text{ angles)} \\ \angle5+\angle8=180^0(supplementary\text{ angles)} \\ \angle7+\angle8=180^0(supplementary\text{ angles)} \\ \angle6+\angle7=180^0(supplementary\text{ angles)} \\ \angle1+\angle2=180^0(supplementary\text{ angles)} \\ \angle1+\angle4=180^0(supplementary\text{ angles)} \\ \angle2+\angle3=180^0(supplementary\text{ angles)} \\ \angle3+\angle4=180^0(supplementary\text{ angles)} \end{gathered}

Hence,

One pair of supplementary angles is ∠5 and ∠6

8 0
1 year ago
Whats the surface area
Lena [83]

Answer:

20 units^2

Step-by-step explanation:

5 x 4

20

3 0
3 years ago
Read 2 more answers
NEED HELP PLZ
skad [1K]

Answer:

look at the picture i sent......

5 0
3 years ago
Read 2 more answers
Prove algebraically that r = 10/2+2sinTheta is a parabola
Xelga [282]

Answer:

y =  -  \frac{ 1 }{10} {x}^{2}   +  \frac{5}{2}

Step-by-step explanation:

We want to prove algebraically that:

r =  \frac{10}{2 + 2 \sin \theta}

is a parabola.

We use the relations

{r}^{2}  =  {x}^{2}  +  {y}^{2}

and

y = r \sin \theta

Before we substitute, let us rewrite the equation to get:

r(2 + 2 \sin \theta) = 10

Or

r(1+  \sin \theta) = 5

Expand :

r+  r\sin \theta= 5

We now substitute to get:

\sqrt{ {x}^{2}  +  {y}^{2} }  + y = 5

This means that:

\sqrt{ {x}^{2}  +  {y}^{2} }=5 - y

Square:

{x}^{2}  +  {y}^{2} =(5 - y)^{2}

Expand:

{x}^{2}  +  {y}^{2} =25 - 10y +  {y}^{2}

{x}^{2}  =25 - 10y

{x}^{2}  - 25 =  - 10y

y =  -  \frac{ {x}^{2} }{10}  +  \frac{5}{2}

This is a parabola (0,2.5) and turns upside down.

4 0
3 years ago
Lydia has 400$ in her bank account. Each week she withdraws 10$ for spending money. She also uses 5$ each week to get credit on
Softa [21]

Answer:

400 - 15x < 300

Step-by-step explanation:

We are told that she has 400$ in her bank account.

Now, Each week she withdraws 10$ for spending money. She also uses 5$ each week to get credit on her apple account.

Total total withdrawal each week = 10 + 5 = $15

If number of weeks she has been withdrawing is x, then would have withdrawn $15x after x number of weeks.

Thus, amount left after x number of weeks is:

400 - 15x

We want to find the inequality statement can be used to determine how many weeks it will take for her bank account balance to drop below 300.

Thus;

400 - 15x < 300

6 0
3 years ago
Other questions:
  • PLZ FAST I DONT WANNA DIE
    9·1 answer
  • By the end of the summer Margot has saved $375. Recall that each of the small pieces of wood costs $3.
    9·2 answers
  • 17 points!!<br> Need anyone FAST! Please
    13·2 answers
  • -3=k+3 <br> How do I solve this and can u leave instructions so I can understand what u did
    9·1 answer
  • The sum of 8 and 7 doubled
    12·2 answers
  • Which mixed number is represented by the shaded<br> area? 2 2/5, 2 3/5, 2 2/3, 2 3/2?
    9·1 answer
  • True or False. It is possible for an odd function to have the domain [0,infinity)? Justify your answer.​
    8·1 answer
  • 1. Three people went to lunch at a buffet restaurant that charges $9.99 per
    8·2 answers
  • Olivia and Ray walk to school. Olivia walks 1 4of a mile to school. Her walk is 2 3of the distance that Ray walks to school. Wha
    9·1 answer
  • Which of the following is not a true statement about the angles shown below? A H 3x x + 15 Z D x + 15 A. The measure of ZAHD is
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!