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
Lerok [7]
3 years ago
8

The lines whose equations are 2x + 3y = 4 and y = mx + 6 will be perpendicular when

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

Answer:

These lines will be perpendicular when m =  ³⁄₂

Step-by-step explanation:

Two lines are perpendicular when the product of their gradients equal to -1. So:

m₁ * m₂ = -1

Let's get the first equation in gradient-intercept form (same as equation two).

2x + 3y = 4

3y = -2x + 4

y = -⅔x + ⁴⁄₃

We know the first gradient, and now we can find the gradient of the second line (which when multiplied will result in -1 as these lines are perpendicular). So:

-⅔ * m₂ = -1

m₂ =  ³⁄₂

You might be interested in
Can someone help me figure out what the equation is for this problem
Georgia [21]
The equation for this problem is “y = x + 3”.
6 0
3 years ago
Read 2 more answers
I NEEED HELP!!!!!! AGAIN
saveliy_v [14]

Answer:

4

Step-by-step explanation:

You add and divide for the mean so you add all of them together (which is 16) and you divide it by 4 (because there are 4 teams) which gives you the answer 4

6 0
3 years ago
Your fi nancial advisor recommends buying a 10-year bond with a face value of $1,000 and an annual coupon of $80. The current in
rusak2 [61]

Answer:

Bond Price​= $1,070.24

Step-by-step explanation:

Giving the following information:

Cupon= $80

Number of periods= 10 years

Face value= $1,000

Interest rate= 7%

<u>To calculate the price of the bond, we need to use the following formula:</u>

Bond Price​= cupon*{[1 - (1+i)^-n] / i} + [face value/(1+i)^n]

Bond Price​= 80*{[1 - (1.07^-10)] / 0.07} + [1,000 / (1.07^10)]

Bond Price​= 561.89 + 508.35

Bond Price​= $1,070.24

8 0
2 years ago
Can you please answer this ​
gogolik [260]

Step-by-step explanation:

If ^A=70, then ^A=^B

Reason being ADııBC or Alternate Angles

if ^D=105,^C=105

Because ADııBC or Alternate Angles

if ^B=2x-6 and ^A=82 then...

x=2x-6=82

TRANSPOSE (remember that signs change)

2x=82+6

2x/2=88/2

x=44

if^C=2(y+4) and ^D=116 then...

^C=^D

2(y+4)=116

(2×y)+(2×4)=116

2y+8=116

TRANSPOSE

2y=116-8

2y/2=108/2

y=54

if ¯AC=56cm then ¯DB

¯AC=¯DB

because ADııBC

8 0
3 years ago
PART C: if DB=9 AND DC=4, find the length of segment DA. NEED HELP ASAP
Sauron [17]

Answer:

6

Step-by-step explanation:

DB/AD = AD/DC

so

AD² = DB x DC

AD² = 9 x 4

AD² = 36

AD = 6

--------

note, it can be doing if PART A you answer the pair is ∆ABD with right angle in A and ∆ADC with right angle on D

7 0
3 years ago
Other questions:
  • After all of the account balances have been extended to the Income Statement columns of the end-of-period spreadsheet, the total
    13·1 answer
  • Maria bought 4 boxes of muffins with 16 muffins in each box.Write an expression using exponents to find how many muffins she bou
    12·1 answer
  • This math question really easy
    14·2 answers
  • An earthquake with a rating of 3.3 is not
    15·1 answer
  • Which statements describes 3/8 * 4/9 with groups of 8 or 3
    13·2 answers
  • Latoya buys candy that costs 5 per pound. She will spend more than $30 on candy. What are the possible numbers of pounds she wil
    9·2 answers
  • HELP ME!!!!!!!!!!!!!!!!!!!!!!!!
    9·1 answer
  • I need help with this question please
    12·1 answer
  • Look at the graph. which equation represents the graph?
    11·1 answer
  • As indicated below, write the equations of the line passing through the point (2, 4) and parallel to the line whose equation is
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!