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
bonufazy [111]
3 years ago
10

Write an equation in slope-intercept form for the line that passes through (1, 1), and is perpendicular to the graph of 3x + 2y

= -7
Mathematics
2 answers:
defon3 years ago
8 0

Answer:

2X-3Y = -1

Step-by-step explanation:

given equation is 3X +2Y = -7

FIRST BRING THIS IN SLOPE INTERCEPT FORM

2Y = -3X -7

DIVIDING EACH TERM BY 2

Y = (-3/2)X -7/2

SLOPE OF GIVEN EQUATION IS -3/2

SLOPE OF LINE PERPENDICULAR TO THIS IS NEGATIVE RECIPROCAL HENCE  SLOPE OF REQUIRED EQUATION IS 2/3

EQUATION OF STRAIGHT LINE IN POINT SLOPE FORM IS

Y-Y1 = m(X-X1)

Y-1 = (2/3)(X-1)

MULTIPLYING ALL TERMS BY 3

3(Y-1) = 2(X-1)

3Y-3 = 2X -2

2X-2 = 3Y-3

2X-3Y =-3+2

2X-3Y = -1

Nezavi [6.7K]3 years ago
3 0

Answer:

y=2/3x+1/3

Step-by-step explanation:

3x+2y=-7

y= -3/2x-7

slope is 2/3x

y-1=2/3(x-1)

so , y= 2/3x+1/3

You might be interested in
What is the y-intercept of the line with a slope of − 1/4 that passes through the point (−2, −9/2 )?
svlad2 [7]
-9/2 = -1/4(-2)+ b

-9/2 = 1/2 + b
Minus 1/2 over

B= -5

Hope this helps!
4 0
3 years ago
Read 2 more answers
(01.02 LC) Simplify 8 - (14)
nignag [31]

Answer:

8-14 or -6

Step-by-step explanation:


7 0
4 years ago
How many of the first 1000 positive integers are multiples of both 4 and 5 but not 6 ?
castortr0y [4]
Let's begin by breaking  each number down into its prime factors:    4 = 2 x 2    5 = 5    6 = 2 x 3 Next, let's determine the Lowest Common Multiple (LCM) of the numbers 4, 5, and 6 by multiplying all common and unique prime factors of each number:    common prime factors: 2    unique prime factors:  2,5,3    LCM = 2 x 2 x 5 x 3 = 60 Next, let's determine how many times 60 goes into 10,000 (excluding remainder):    10,000/60 = 166 and 2/3    Multiples of ALL 3 numbers (4,5,6) = 166  Next, let's determine the Lowest Common Multiple (LCM) of the numbers 4 and 5 by multiplying all common and unique prime factors of each number:    common prime factors:  none
    unique prime factors:  2 x 2 x 5
    LCM = 2 x 2 x 5 = 20 Next, let's determine how many times 20 goes into 10,000:
    10,000/20 = 500
    Multiples of BOTH numbers (4 and 5) = 500 Finally, let's subtract the multiples of ALL three numbers (4,5,6) from the multiples of BOTH numbers (4 and 5) to get our answer:   Multiples of ONLY numbers 4 and 5 (excluding 6):       500 - 166 = <span>334</span>
5 0
3 years ago
a homeowner is planning an addition to her house. she wants the new family room to be a rectangle with an area of 192 feet. The
kozerog [31]

Answer:

length=16feet  width=12feet

Step-by-step explanation:

This may not be the best way, i just stumbled upon the answer using this.

I knew 14*14=196, which is relatively close to 192.

Then, I took away 2 from one of the 14s and added it to the other 14.

14-2=12    14+2=16

Apparently, 16*12 is 192, so that's the answer.

6 0
3 years ago
Applying properties of Exponents in exercise,use the properties of exponents to simplify the expression.See example 1.
evablogger [386]

Answer: a) 15625, b) 0.2, c) 625, d) 0.008.

Step-by-step explanation:

Since we have given that

a) (5^2)(5^3)

As we know that

a^m\times a^n=a^{m+n}

So, it becomes,

5^2\times 5^3=5^{2+3}=5^6=15625

(b) (5^2)(5^{-3})

So, it becomes,

5^2\times 5^{-3}=5^{2-3}=5^{-1}=\dfrac{1}{5}=0.2

(c) (5^2)^2

As we know that

(a^m)^n=a^{mn}

So, it becomes,

5^{2\times 2}=5^4=625

(d) 5^{-3}

a^{-m}=\dfrac{1}{a^m}\\\\5^{-3}=\dfrac{1}{5^3}=\dfrac{1}{125}=0.008

Hence, a) 15625, b) 0.2, c) 625, d) 0.008.

4 0
3 years ago
Other questions:
  • What is the expression of (2x) squared?
    12·1 answer
  • What is the value of x
    6·1 answer
  • He gets paid £6.80 per hour<br> how many hours for 9 and half hours
    5·2 answers
  • Are the factors of number also the divisor
    11·1 answer
  • there are 5 boys and 2 girls in jazz band find the ratio of the number of boys to the total number of students in the band
    10·1 answer
  • Anyone ????NEED HELP PICTURE
    7·1 answer
  • milton purchases a 5-gallon aquarium for his bedroom.To fill the aquarium with water,he uses a container with a capacity of 1 qu
    5·2 answers
  • 3
    9·1 answer
  • The value of all of the quarters and dimes in a
    8·1 answer
  • triangle ABC is similar to triangle DEF. The ratio of the lengths of the corresponding sides of triangle ABC to triangle DEF is
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!