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
GenaCL600 [577]
3 years ago
8

Which pair of equations represents two perpendicular lines? Option A: -3x +2y = 10 and 3y = 2x +12 Option B: 2x + 5y = 45 and y

+ 2/5x = -9 Option C: x= 4y +4 and x +4y=4 Option D: 7x + 4y= 20 and y-3=4/7x
Mathematics
1 answer:
jek_recluse [69]3 years ago
8 0
For the equation of the line expressed as Ax + By + C = 0, the value of the slope (m) is calculated by -A / B. For perpendicular lines, the slope of one should be the negative reciprocal of the other. From the choices given, the lines that are perpendicular is Option A. 
You might be interested in
1712/6048 in lowest form
Iteru [2.4K]

Step-by-step explanation:

.......................

3 0
2 years ago
Read 2 more answers
The previous balance in your check register $234.67 . You make a deposit of 150.00 .You write a check for $63.23 . What is your
skelet666 [1.2K]

Answer:

321.44

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
I need to find the greatest common factor of <img src="https://tex.z-dn.net/?f=40s%5E3t%5E5" id="TexFormula1" title="40s^3t^5" a
solong [7]

Answer:

\large\boxed{GCF(40s^3t^5,\ 2s^4t^4,\ 14s^6t^6)=2s^3t^4}

Step-by-step explanation:

40s^3t^5=\boxed2\cdot2\cdot2\cdot5\cdot \boxed{s\cdot s\cdot s}\cdot \boxed{t\cdot t\cdot t\cdot t}\cdot t\\\\2s^4t^4=\boxed2\cdot  \boxed{s\cdot s\cdot s}\cdot s\cdot \boxed{t\cdot t\cdot t\cdot t}\\\\14s^6t^6=\boxed2\cdot7\cdot  \boxed{s\cdot s\cdot s}\cdot s\cdot s\cdot s\cdot \boxed{t\cdot t\cdot t\cdot t}\cdot t\cdot t\\\\GCF(40s^3t^5,\ 2s^4t^4,\ 14s^6t^6)=\boxed2\cdot  \boxed{s\cdot s\cdot s}\cdot\boxed{t\cdot t\cdot t\cdot t}=2s^3t^4

7 0
3 years ago
List all possible rational roots. Then use synthetic division to confirm which rational roots exist:
Kisachek [45]

Answer:

\boxed{(1) \, x = \, \pm \dfrac{1}{2}, \pm 1, \pm2, \pm \dfrac{5}{2}, \pm 5, \pm 10; (2) \, x = -2}

Step-by-step explanation:

2x³+ 6x² - x - 10 = 0

(1) Possible roots

The Rational Roots Theorem states that, if a polynomial has any rational roots, they will have the form p/q, where p is a factor of the constant term  and q is a factor of the leading coefficient.

\text{Possible rational root} = \dfrac{ p }{ q } = \dfrac{\text{factor of constant term}}{\text{factor of leading coefficient}}

In your function, the constant term is -10 and the leading coefficient is 2, so

\text{Possible root} = \dfrac{\text{factor of 10}}{\text{factor of 2}}

Factors of 10 = ±1, ±2, ±5, ±10

Factors of 2 = ±1, ±2

\text{Possible roots are } \large \boxed{\mathbf{x = \pm \dfrac{1}{2}, \pm 1, \pm2, \pm \dfrac{5}{2}, \pm 5, \pm 10}}

(2) Synthetic division

Rather than work through all 12 possibilities, I will do one that works.

\begin{array}{r|rrrr}-2 & 2 & 6 & -1 & -10\\& & -4& -4 & 10\\& 2 & 2& -5 & 0\\\end{array}

So, x = -2 is a root, and the quotient is 2x² + 2x - 5.

(3) Check for other rational roots

2x² + 2x - 5 = 0

D = b² - 4ac =2²- 4(2)(-5) = 4 + 40 = 44

√44 = 2√11, which is irrational.

Since irrational roots come in pairs, the cubic equation has two real, irrational roots and one rational root at x = -2.

6 0
3 years ago
The sum of four consecutive odd integerd is -72.
Solnce55 [7]

n, n + 2, n + 4, n + 6 - four consecutive odd integers

-72 - the sum

The equation:

n + (n + 2) + (n + 4) + (n + 6) = -72

n + n + 2 + n + 4 + n + 6 = -72

4n + 12 = -72     |subtract 12 from both sides

4n = -84     |divide both sides by 4

n = -21

n + 2 = -21 + 2 = -19

n + 4 = -21 + 4 = -17

n + 6 = -21 + 6 = -15

Answer: -21, -19, -17, -15.

8 0
3 years ago
Other questions:
  • What is the value of (10 x 0.5) squared + 4 cubed?
    14·2 answers
  • A vat of orange juice contains the juice from 734 oranges if a company has 76 vats how many oranges would they use to fill them
    14·2 answers
  • Please answer 76 and 77 for brainlest answer and please show work !
    7·1 answer
  • Investors buy a studio apartment for $200,000. Of this amount, they have a down payment of $60,000. Their down payment is what p
    8·1 answer
  • Workout 2/5 of 16 miles
    6·1 answer
  • If 3 cookies cost $2:35.How much is the cost of 1 cookie?How much is the cost of 4 cookies?
    13·2 answers
  • Randell earns $8 per hour at his job. if he works more than 40 hours, he earns 1 1/2 times his normal hourly rate. if Randall wo
    6·2 answers
  • Help help math math math
    8·1 answer
  • Explain the answer....​
    10·1 answer
  • Five college students' scores on a test are 25, 25, 30, 35, and 40. what is the mean for this set of scores?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!