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2 years ago

I need Unit 3 parallel and perpendicular lines Homework 5 slope of lines it’s due today!

Mathematics

1 answer:

S_A_V [24]2 years ago

4 0

Answer:

1. 4/2

2. -3/5

3. 2/2

4. undefined

5. -5/1

6. zero

7. -4/5

8. 1

9. 0

10. 3/4

11. undefined

12. -9/4

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PLEASE HELP! A positive number is 1/3 of another number. The sum of the numbers is five less than the square of the larger numbe

antoniya [11.8K]

Answer: The numbers are 1 and 3.

Step-by-step explanation:

Let x = smaller number , y= larger number.

As per given,

$x=\dfrac{y}{3}$ ...(i)

$x+y=y^2-5$ ...(ii)

Put value of x from (i) in (ii)

$\dfrac{y}{3}+y=y^2-5\\\\\Rightarrow\ \dfrac43y=y^2-5\\\\\Rightarrow\ 3y^2-4y-15=0\\\\\Rightarrow\ 3y^2-9y+5y-15=0\\\\\Rightarrow\ 3y(y-3)+5(y-3)=0\\\\\Rightarrow\ (y-3)(3y+5)=0\\\\\Rightarrow\ y=3 \ \ or\ y=\dfrac{-5}{3}$

Since numbers are positive , so y=3 is correct.

And x will be 1 [from (i)]

Hence, the numbers are 1 and 3.

7 0

2 years ago

A rectangular park of length 60 m breadth 50 m encloses w volleyball court of length 18 m and breadth 10 m. Find the area of the

Zanzabum

Given

A rectangular park of length 60 m breadth 50 m encloses with volleyball court of length 18 m and breadth 10 m.

To find:

The area of the park excluding the court at the rate of Rs 110 per square meter.

Solution:

Area of a rectangle is:

$Area=length \times breadth$

Area of whole park is:

$A_1=60 \times 50$

$A_1=3000$

Area of volleyball court is:

$A_2=18 \times 10$

$A_2=180$

Now, the area of the park excluding the court is:

$A=A_1-A_2$

$A=3000-180$

$A=2820$

Therefore, the area of the park excluding the court is 2820 square meter.

4 0

3 years ago

Given the terms a10 = 3 / 512 and a15 = 3 / 16384 of a geometric sequence, find the exact value of the term a30 of the sequence.

GenaCL600 [577]

The answer is $\frac {3}{2^{29}}$

5 0

3 years ago

I need to know if the following questions are true or false

Triss [41]

Answer:

False

Step-by-step explanation:

To find <A, we can do 5x - 80 = 3x + 20.

As we simplify, we will get 2x = 100, which is x = 50

Therefore, <A will be 50 degrees and not 45 degrees.

Also, if you need y, you can do:

3y - 7 = y + 7

2y = 14

y = 7

5 0

3 years ago

Circle O has a circumference of approximately 28.3 cm. Circle O with radius r is shown. What is the approximate length of the ra

Marrrta [24]

Answer:

4.5cm

Step-by-step explanation:

Circumference = 2 $\pi$ r

28.3=2 $\pi$ r

28.3/2 $\pi$ =r

4.456

7 0

3 years ago

I need Unit 3 parallel and perpendicular lines Homework 5 slope￼ of lines it’s due today!

I need Unit 3 parallel and perpendicular lines Homework 5 slope of lines it’s due today!