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
fgiga [73]
3 years ago
14

Slope between 1, 3/4 and 4, -3

Mathematics
1 answer:
emmainna [20.7K]3 years ago
4 0
Answer: The slope is -5/4
You might be interested in
Rationalize the denominator of $\frac{5}{2+\sqrt{6}}$. The answer can be written as $\frac{A\sqrt{B}+C}{D}$, where $A$, $B$, $C$
horrorfan [7]

Answer:

A +B+C+D  = 3 is the correct answer.

Step-by-step explanation:

Given:

$\frac{5}{2+\sqrt{6}}$

To find:

A+B+C+D = ? if given term is written as following:

$\frac{A\sqrt{B}+C}{D}$

<u>Solution:</u>

We can see that the resulting expression does not contain anything under \sqrt (square root) so we need to rationalize the denominator to remove the square root from denominator.

The rule to rationalize is:

Any term having square root term in the denominator, multiply and divide with the expression by changing the sign of square root term of the denominator.

Applying this rule to rationalize the given expression:

\dfrac{5}{2+\sqrt{6}} \times \dfrac{2-\sqrt6}{2-\sqrt6}\\\Rightarrow \dfrac{5 \times (2-\sqrt6)}{(2+\sqrt{6}) \times (2-\sqrt6)} \\\Rightarrow \dfrac{10-5\sqrt6}{2^2-(\sqrt6)^2}\ \ \ \ \   (\because \bold{(a+b)(a-b)=a^2-b^2})\\\Rightarrow \dfrac{10-5\sqrt6}{4-6}\\\Rightarrow \dfrac{10-5\sqrt6}{-2}\\\Rightarrow \dfrac{-5\sqrt6+10}{-2}\\\Rightarrow \dfrac{5\sqrt6-10}{2}

Comparing the above expression with:

$\frac{A\sqrt{B}+C}{D}$

A = 5, B = 6 (Not divisible by square of any prime)

C = -10

D = 2 (positive)

GCD of A, C and D is 1.

So, A +B+C+D = 5+6-10+2 = \bold3

5 0
3 years ago
1. Indicate whether the number is divisible by 2, by 3, or by 5.(Note: Some numbers may be divisible by more than one of these n
aleksklad [387]

1.

a.2,3,5 450/2=225 450/3=150 450/5=90

b.none

c.2 only 18,652/2=9,326

d.5 only 455/5=91

2.

a.3 and 5

b.3 and 7

c.19

d.7 and 21

3.

a.30

b.18

c.24

d.30

3 0
3 years ago
tenesa bought a 50 pound bag of flour for her bakery. she used 13.65 pounds of flour. how many pounds of flour are left in the b
saw5 [17]
Answer: 36.35


work:
50 - 13.65 = 36.35
4 0
3 years ago
Read 2 more answers
Points A B C D and E are collinear and in that order. Find AC if AE=x+50 and CE=x+32
Lana71 [14]

Answer:

18

Step-by-step explanation:

Points A B C D and E are collinear.

\therefore AE = AC + CE\\\therefore AC = AE - CE\\\therefore AC = x + 50 - (x + 32) \\\therefore AC = x + 50 - x - 32 \\\therefore AC =  50 - 32 \\ \huge \red{ \boxed{\therefore AC = 18}}

3 0
3 years ago
Lie is solving the quadratic equation by completing the square.
wel

we have

3x^{2} + 18x - 8 = 0

Step 1

Move the constants to the right side

3x^{2} + 18x = 8

Step 2

Factor 3 out of the variable terms

3(x^{2} + 6x) = 8

Step 3

Add 27 to both sides of the equation

3(x^{2} + 6x+9) = 8+27

3(x^{2} + 6x+9) = 35

Step 4

Write the polynomial as a binomial squared

3(x+3)^{2} = 35

therefore

the answer is

Factor 3 out of the variable terms.

8 0
3 years ago
Read 2 more answers
Other questions:
  • Why does it take 2 copies of 1/8 to show the same amout as 1 copy of 1/4?
    13·2 answers
  • Plz Help...What is the square root of 1,249?
    11·1 answer
  • When adding two negative numbers,<br> the absolute value of the numbers and keep the negative sign.
    11·1 answer
  • I dont understand what its asking me to do? there no question ​
    15·1 answer
  • Put the correct answer for but if I check the answer and the answer is wrong then i´m going to report you!
    11·2 answers
  • やあ! 退屈だから話したいだけ<br> wanna talk ?
    10·2 answers
  • Please help me with this homework
    7·2 answers
  • What is the answer of this? 4x²-9y²+36y-36=0 ​
    12·1 answer
  • Ten sixth grade students recorded the amounts of time each took to travel to school. The dot plot shows their travel times.
    12·1 answer
  • Event A has a probability of occurring of 4/5 . Event B has a probability of occurring of 1/3. If events A and B are independent
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!