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
jonny [76]
3 years ago
10

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

Mathematics
2 answers:
Sladkaya [172]3 years ago
5 0
 2x+3y=4
-2x       
3y=-2x+4
/3
y=-2/3x+4/3
next you would find the negative reciprical -3/2 so the m=-3/2
zhuklara [117]3 years ago
4 0

(d1):  2x+3y=4⇒ 3y = -2x+4 ⇒ y = (-2/3)x +4/3

(d2):  y = mx+6

d1 || d2 ⇒ m = 3/2




You might be interested in
Sammy has 4 bags of marbles. Each bag has 12 marbles in it. Which equation represents how many total marbles he has
kumpel [21]

Answer:

t = 4 x 12

Step-by-step explanation:

t = total # of marbles

Equation: t = 4 x 12

=48

4 0
3 years ago
Read 2 more answers
What is the value of the 4 in 9.84?
const2013 [10]
The Hundredths Place
6 0
3 years ago
in a rectangle, the ratio of the width to the length is 4:5. if the rectangle is 40 centimeters long, find its width.
Troyanec [42]
A the width is 17.7777778

Steps:
4+5 =9
40÷9= 4.44444444
Width: 4.44444444 times 4 = 17.7777778
Length: 4.44444444 times 5 = 22.2222222
8 0
3 years ago
Melanie is looking for a loan. She is willing to pay no more than an effective rate of 9.955% annually. Which, if any, of the fo
lakkis [162]

Answer:

c) A and B, being r(loan a)= 9.699% annually, r(loan b)=9.862% annual

Step-by-step explanation:

Hi, well, let´s transform all this nominal rates into effective annual rates.

Loan A: 9.265% nominal rate, compounded weekly

In order to find the easiest effective rate, we need to divide this rate by 52 (which are the weeks in a year). Once we do that, we convert this effective weekly rate into an effective annual rate. Let´s walk you through all this.

r(E.week)=\frac{0.09265}{52} =0.00178173

Or 0.178173% effective weekly. Now we can transform it into an effective annual rate.

r(e.a)=(1+r(e.week))^{52} -1

r(e.a)=(1+0.00178173)^{52} -1=0.09699

Or 9.669% annual, which is less than 9.955%, so this one is sellected, let´s check the next.

Loan B: 9.442% nominal rate, compounded monthly

Just like we did with Loan A, we need to divide this rate too, only this time, we will divide by 12, therefore obtaining an effective monthly rate.

r(E.month)=\frac{0.09442}{12} =0.00786833

Or 0.786833% effective monthly, let´s turn it into a effective annual rate.

r(e.a)=(1+r(e.month))^{12} -1

r(e.a)=(1+0.00786833)^{12} -1=0.09862

Or 9.862% annual, so this rate would work for Melanie too. This means that option C) is the answer we are looking for but, let´s walk that extra mile and turn that Loan C rate into an annual rate.

r(E.quarter)=\frac{0.09719}{4}=0.0242975

or 2.42975% effective quarterly, now, let´s convert it into an effective annual rate.

r(e.a)=(1+0.0242975)^{12} -1=0.10079

That is 10.079% effective annual, therefore, Loan C is not an option for Melanie.

Best of Luck.

5 0
3 years ago
Read 2 more answers
Which number is rational, an integer, and a real number?A. 1.5B.C. There is no such nurnber.D. -5
Julli [10]

Camron, let's recall that:

Any integer,

6 0
1 year ago
Other questions:
  • find the x- and y-intercept of the line. 5x – 4y = 40 a. x-intercept is –4; y-intercept is 5. b. x-intercept is –10; y-intercept
    5·1 answer
  • Question 9 of packet
    7·1 answer
  • Mr and mrs jonah went for a picnic. the couples have five sons and each son has seven daughters, who has three babies each. in t
    11·1 answer
  • -4(-v-2u+4)what is the answer
    11·2 answers
  • Instead of using the values {1,2,3,4,5,6} on a dice, suppose a pair of dice have the following {1,2,2,3,3,4} on one die and {1,3
    15·2 answers
  • Once you have completed the above problems and checked your solutions, complete
    10·2 answers
  • Can Someone Please help me it is 7th grade math <br> Thank You
    5·2 answers
  • PLS HELP <br> 4 + 3 x 5 - 2<br><br> 17<br> 33<br> 13<br> 21
    5·1 answer
  • 7
    12·1 answer
  • Brainliest if correct
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!