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
Natalka [10]
3 years ago
5

Write an equation for a line that is parallel to y + 5 = 3(x - 1) and goes through the point (3,-4)

Mathematics
1 answer:
MrRa [10]3 years ago
5 0

Answer:

The  equation for a line that is parallel to y + 5 = 3(x - 1) and goes through the point (3,-4) will be:

  • y = 3x-13

Step-by-step explanation:

Given the equation

y + 5 = 3(x - 1)

Writing in the slope-intercept form

y=mx+b

where m is the slope and b is the y-intercept

y = 3(x-1) -5

y  = 3x-3-5

y = 3x - 8

Thus, the slope = m = 3

We know that the parallel lines have equal slopes.

So, the slope of a parallel line is also 3

Using the point-slope form of the line equation

y-y_1=m\left(x-x_1\right)

substituting the values m = 3 and the point (3, -4)

y-(-4)=3(x-3)

y+4 = 3x-9

y = 3x-9-4

y = 3x-13

Thus, the  equation for a line that is parallel to y + 5 = 3(x - 1) and goes through the point (3,-4) will be:

  • y = 3x-13
You might be interested in
Jeremiah is working on a model bridge. He needs to create triangular components, and he plans to use toothpicks. He finds three
icang [17]

Answer: No

Step-by-step explanation:

According to triangle inequality theorem which state that: the sum of any 2 sides of a triangle must be greater than the measure of the third side.

Now let's test the given parameters if they obey this theorem

4 inches, 5 inches and 1 inch

4 + 5 = 9

9 > 1 correct

5 + 1 = 6

6 > 4 correct

4 + 1 = 5

5 not > 5 wrong

Therefore he won't be able to create the triangular component with these toothpicks without modifying any of the lengths

3 0
3 years ago
Read 2 more answers
Prove this qns plzz ​
artcher [175]

Answer:

L.H.S.

= (cos5a.sin2a-cos4a.sin3a)/ (sin5a.sin2a-cos4a.cos3a)

Multiply numerator and denominator by 2.

= 2(cos5a.sin2a - cos4a.sin3a) / 2(sin5a.sin2a - cos4a.cos3a)

= (2cos5a.sin2a - 2cos4a.sin3a)/

(2sin5a.sin2a - 2cos4a.cos3a) = [sin(5a+2a)-sin(5a-2a)-sin(4a+3a)

+sin(4a-3a)]/[cos(5a-2a)-cos(5a+2a)-sin(4a-3a) +cos(4a+3a)]

= (sina - sin3a)/(cso3a-cosa)

= (-2cos2a.sina)/(-2sin2a.sina)

= cos2a/sin2a

= cot2a

= R.H.S.

6 0
3 years ago
Read 2 more answers
Which expression is equalivalent to 2( t-4) + 1
Veronika [31]

Answer:

It's gonna be 2t - 7 my friend

Step-by-step explanation:

8 0
2 years ago
X -5,-3,4,1,-1,-2,0,2,3,-4
Sergio039 [100]

Answer:

I dont know im really sorry

8 0
3 years ago
total of 78 baseball and football cards in a box. ratio of baseball to football cards is 8 to 5. how many baseball cards are in
Katen [24]
The best way to work this to add the two numbers of the ratio together (8+5), giving you 13. You should then divide the total number of cards (78), by this, giving you 6. This means that each part of the ratio is worth 6. The first ratio is 8, meaning that you will have 6x8 baseball cards. There will be 48 baseball cards. The second ratio is 5, meaning that you will have 6x5 football cards. There will be 30 football cards.
In the box, there are 48 baseball cards
4 0
3 years ago
Other questions:
  • What is 2÷766 in long division ​
    10·1 answer
  • A box has a square base with each side measuring 8 inches. The height of the box is 4 inches. What is the surface area of the bo
    8·1 answer
  • What is the length of the actual dining room?
    11·1 answer
  • A stock investment of 160 shares
    11·1 answer
  • Find the volume of the composite figure.
    6·1 answer
  • Using the Time Series Data for the US Nuclear Electric Power Production, calculate the exponential smoothing forecasts for 2005
    10·1 answer
  • Jen bought a new brush for $10.50
    7·2 answers
  • Mason’s mom bought g games online. The games cost $12 each plus a $7 shipping fee.write an equation.
    10·2 answers
  • -15= x/-0.5 8= what does x equal
    15·1 answer
  • What is the area of this<br> parallelogram?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!