answer.
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
kotegsom
3 months ago
8

The lines y=3x-1 and y=ax+2 are perpendicular if a=___

Mathematics
2 answers:
babunello [11.8K]3 months ago
8 0

Response:

a = \frac{-1}{3}.

Stepwise explanation:

The line equation format is:

y = mx + c

where m represents the slope and c is the y-intercept.

Given are two lines: y=3x-1 and y=ax+2, which are perpendicular.

For the first line, the slope is 3, and for the second line, the slope is a.

Using the property of perpendicular lines:

When two lines are perpendicular, the slope of one is the negative reciprocal of the other.

Therefore:

a = \frac{-1}{3}

Consequently:

a = \frac{-1}{3}.

Svet_ta [12.7K]3 months ago
4 0
To determine the slope of the line perpendicular to another, take the reciprocal of the original slope (here, 1 divided by 3) and multiply by -1, resulting in -1/3.
You might be interested in
Yolanda is buying supplies for school. She buys n package of pencils at $1.40 per package and m pads of paper at $1.20 each. Wha
Inessa [12570]

To tackle this issue, we need to clarify what each variable stands for. Here, n indicates the number of pencil packages purchased by Yolanda, while m represents the number of paper pads she buys. We calculate the total cost by multiplying these variables by their individual prices, which helps us determine the expense for both pencil packages and pads of paper.

The expression "1.4n" indicates the overall cost for n pencil packages.

On the other hand, "1.2m" signifies the complete expense for m pads of paper.

As we sum these two expressions, the resulting total reflects the overall expenditure for both items.

The equation "1.4n + 1.2m" summarizes this calculation.

I hope this provides clarity!

8 0
3 months ago
Threatened monarch butterflies are monitored by measuring the area occupied by overwintering butterflies in Mexico. According to
Leona [12618]

Answer:

14.2 hectares

Step-by-step explanation:

Fund Mexico reports that monarch butterflies occupied 1.13 hectares in one winter and 4.01 hectares the next winter (one year later)

The Geometric growth formula is

(Pt/ Po)^1/t

Where Pt = Size after t years = 4.01 hectares

Po = Initial size = 1.13

t = time = 1

=( 4.01/1.13 )^1/1

= 3.5486725664

Thus, the geometric growth rate is 3.5486725664.

The area they will occupy in hectares after one more year = Current area × Geometric growth rate

= 4.01 ×3.5486725664

= 14.230176991 hectares

Approximately equal to 14.2

6 0
2 months ago
Ken and Tami are making necklaces. Ken makes 25 necklaces. Tami makes m more necklaces then Ken. Which expression represents the
Inessa [12570]

Response:

Detailed steps

please show the equation

7 0
2 months ago
Read 2 more answers
Other questions:
  • An empty container has a capacity of 60000 litres to 1 significant figure Tony pours in 5400 litres of water to 1 significant fi
    15·1 answer
  • In triangle PQR, PS, QT,and RU are the medians , and PS and QT intersect at the point (4,5)
    6·2 answers
  • A scientist is studying some rabbits. A disease is killing the rabbits. A population of 240 of these rabbits was reduced to 180
    11·1 answer
  • Find the value of x in each case:
    14·1 answer
  • What did the abacus say when asked if he could help out at the school carnival worksheet answer
    5·1 answer
  • Marlena solved the equation 2x + 5 = –10 – x. Her steps are shown below.
    10·2 answers
  • Amanda has 26 nickels and dimes in her piggy bank. the number of nickels is two fewer than three times the number of dimes. how
    9·1 answer
  • A high interest savings account pays 5.5% interest compounded annually. If $300 is deposited initially and again at the first of
    9·2 answers
  • Steve buys 2 lb of grapefruit and 3 lb of oranges for $7.20. Kennedy buys 4 lb of grapefruit and 2 lb of oranges for $8.80. Let
    6·1 answer
  • The formula for the volume V of a rectangular prism is V = ℓwh, where ℓ represents the length, w represents the width, and h rep
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!