Mathematics High School

y = - 4x + 3 & x - 4y = 8 : parallel or perpendicular or neither​

Answers

Answer 1

Answer:

perpendicular

Step-by-step explanation:

Parallel lines have equal slopes

The product of the slopes of perpendicular lines = - 1

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 4x + 3 ← is in slope- intercept form

with slope m = - 4

x - 4y =  8 ( subtract x from both sides )

- 4y = - x + 8 ( divide through by - 4 )

y = [tex]\frac{1}{4}[/tex] x + 2 ← in slope- intercept form

with slope m = [tex]\frac{1}{4}[/tex]

Since the slopes are not equal the lines are not parallel

- 4 × [tex]\frac{1}{4}[/tex] = - 1

Then the lines are perpendicular

Related Questions

if you wake up at 7:00 a.m. and it takes you 1 hour and 30 minutes to get ready and walk to school at what time will you get to school

Answers

To solve this question we need to add 1hr 30mins onto 7:00 am:
1 hour later would be 8:00 am
30 mins later would be 8:30 am

You will get to school at 8:30 am
Hope this helps!
The answer is 8:30
If it’s 7:00 and an hour goes by is going to be 8:00 and when you add 30 minutes to 8:00 it would be 8:30

HELPPPPPPPPPPPPP

A: equilateral and right
B: equilateral and isosceles
C: isosceles and scalene
D: isosceles and right

Answers

Answer:

C. (I think)

Step-by-step explanation:

So, it is definitely not a right triangle so A and D can step out. And it is not equilateral because all sides are not the same length, that means B is out. It might be C.

Rob is making a square pen for his dog to play in. Each
a
side of the pen is 30 feet long.
The formula for the area of a square is A = 52, where A
stands for the area and sis the length of one side.
What is the area of the pen?
A. 900 square feet
B. 60 square feet / guys help
C. 30 square feet
D. 120 square feet

Answers

Answer:

A.900 square feet

Step-by-step explanation:

s×s=A

30×30=900

what triangle is formed with the angles 32 126 and 32

Answers

An obtuse triangle would be formed. If you add all the angles, you get a total of more then 180 causing it to b obtuse.

help ! which of the following are the roots of the given quadratic equation ?

[tex]2 {x}^{2} + 18x + 36 = 0[/tex]
a. 6

b. -6

c. 3

d. -3..​

Answers

Answer:

The roots are {-6, -3}

Step-by-step explanation:

We are given four possible roots.  To determine whether or not a particular possible root is actually a root, we use synthetic division.  If the remainder is zero, we may conclude that this is actually a root.

Determine whether or not -3 is a root.  Setting up synthetic division, we get

-3  /  2    18     36

              -6    -36

     ---------------------

      2       12     0

Since the remainder is zero, -3 is a root.

Try -6:  Is this a root of 2x + 12?  Setting up synthetic division, we get

-6    /    2     12

                  -12

      ----------------

          2        0

The remainder is again zero, so -6 is also a root of the original equation.

The roots are {-6, -3}

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The Correct choices are ~

b and d

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Let's solve ~

[tex]2 {x}^{2} + 18 {x}^{} + 36 = 0[/tex]

[tex]2 {x}^{2} + 12x + 6x + 36 = 0[/tex]

[tex]2x(x + 6) + 6(x + 6) = 0[/tex]

[tex](2x + 6)(x + 6) = 0[/tex]

There's two cases here,

Case # 1 - when 2x + 6 = 0

[tex]2x + 6 = 0[/tex]

[tex]2x = - 6[/tex]

[tex]x = - 6 \div 2[/tex]

[tex]x = - 3[/tex]

Case # 2 - when x + 6 = 0

[tex]x + 6 = 0[/tex]

[tex]x = - 6[/tex]

Hence, the roots are -3 and -6 ~

the length of a rectangle is 5 more than twice its width. its perimeter is 70 cm. what is its area? show your solution
​

Answers

Answer:

[tex]250cm^2[/tex]

Step-by-step explanation:

length = 5 + 2w

width = w

P = Sum of all sides

P = 2 * (5 + 2w) + 2w

P = 10 + 4w + 2w

P = 6w + 10

Given Perimeter = 70cm

We substitute

6w + 10 = 70

6w = 70 - 10

6w = 60

w = 60/6

w = 10cm

Since length is 5 + 2w

length = 5 + (2 * 10)

length = 25cm

Area = lw

Area = 25 * 10

Area = [tex]250cm^2[/tex]

Answer:

let

b=x then'

l= 2x+5

Now

p=70

2(l+b)=70

2(x+2x+5)=70

6x+10=70

6x=60

x=6

b=x=10

l=2x+5=25

area of rectangle = l*b

25*10

=250 answer

Each of the 256 solid-colored marbles in a box is either blue, green, or purple. What is the ratio of the number of blue marbles to the number of purple marbles in the box

Answers

Hi!!!! What I would reccomend doing is paying attention more in class!

how many trees will be planted when 5 are cut down

Answers

about 6 because that’s what i think

four hundred twenty five million six hundred one thousand six in standard form ​

Answers

Answer:

425,601,006

Step-by-step explanation:

WILL GIVE BRAINLIEST!

Answers

Answer:

1 1/3

Step-by-step explanation:

it's bc the number is closer to one and not in the middle. have a great day

Answer:

The arrow is pointing to 1 1/3. From 1 to 2, there are 3 marks. These three marks are each 1/3. So, from 1 the next mark will be 1 1/3.

:)

In the table, how can I get from 8 km to 1 km?

A. Multiply by 8.

B. Divide by 8.

C. Divide by 5.

D. Multiply by 5.
WILL MARK BRAINLY NO BOTS

Answers

Answer:

B. Divide by 8.

Step-by-step explanation:

B devide by 8 I am 100%right

Can someone please answer for d and b

Answers

Answer:

d=2√2, b=[tex]\frac{3\sqrt{2}}{2}[/tex]

Step-by-step explanation:

first triangle is a 30-60-90

so, sides x-x√2-2x

x=2

therefore d=2√2

second triangle is 45-45-60

sides, 1-1-√2

which means b√2=6

b=6/√2 ---> multiply by √2/√2 to get ride of the √2 denominator

b=6√2/4 , simplify

b=[tex]\frac{3\sqrt{2}}{2}[/tex]

If x = − 6, which number line shows the value of |x|?

Answers

Answer:

I would say the one that has the blue dot. bc, the absolute value of -6 is 6.

Answer:

The second one -6[------------]0 with 6 on top.

Step-by-step explanation:

complete the statement ANGLES (I WILL GIVE BRAINLIEST! PLS HELP!)

refer to attachment for question

Answers

Answer:

ΔDEF

Step-by-step explanation:

Pay attention to order of vertices when comparing the congruent parts or figures.

ΔCBA ≅ ΔDEF

C and D as well as B and E are corresponding vertices according to angle marks and side marks.

In ∆ABC and ∆DEF

AB=EFBC=EDAC=FD

So

[tex]\\ \sf\longmapsto ∆ABC\cong ∆DEF[/tex]

By SSS congruence

What happens to the decimal point when we multiply a whole number by 100?

Answers

There is a similar shortcut for multiplying decimal numbers by numbers such as 10, 100, and 1000: Move the decimal point to the right as many places as there are zeros in the factor. Move the decimal point one step to the right (10 has one zero). Move the decimal point two steps to the right (100 has two zeros).

Answer:

Step-by-step explanation:

To multiply a decimal by 100, move the decimal point in the multiplicant by two places to the right. Here we multiplied the number 98.26 by 100 so we move 2 places to the right. 3. To multiply a decimal by 1000, move the decimal point in the multiplicant by three places to the right

hlp me with this math problem

Answers

Answer:

0.5l+0.2s

Step-by-step explanation:

0.10x5l equals 0.5l

0.10x2s equals 0.2s

WILL MARK AS BRAINLIEST

Answers

Answer:

18.06

Step-by-step explanation:

7+6=13

34+38=72

13 IS 18.06 PERCENT OUT OF 72.

Answer:

Percentanges are factors so

41 Women + 44 Men = 85 shoppers

7 Women + 6 Men = 13 Online shoppers

13 out of 85 13/85 = 15% of total people surveyed shop online

Step-by-step explanation:

Hope this helps! BH

Solve the equation x=√(2x-4)+2. Show, explain, and check your work.

Answers

Answer:

x = 2, 4

Step-by-step explanation:

Hi there!

x=√(2x-4)+2

Move 2 to the left:

x-2 = √(2x-4)

Square both sides:

x²-4x+4 = 2x-4

Combine like terms:

x²-6x+8 = 0

Factor:

(x-2)(x-4) = 0

Therefore, x = 2, 4.

I hope this helps!

Hello please help me with this question

Answers

The answer to this question is 5589

how can you solve this (3/4 - 1/5)

Answers

Answer:

11/20

Step-by-step explanation:

Someone help mah
A die was rolled six times. The rolls were 1. 2. 3.3.4. and 5. What is the mean deviation for this data?

A) 3/5

B) 1

C) 2

D) 6​

Answers

Answer:

3

Step-by-step explanation:

1+2+3+3+4+5

6

=18 =3

6

=3

5x - 3 + 7y
x= 3 y= -7

Answers

The answer is -37! You would substitute the numbers you were given for the variables so the equation would become 5(3) -3 + 7(-7)

Paul needs to score higher than 174 to win his bowling tournament. He currently has a score of 42. Which of the following shows how many more points, p, that Paul needs to get to score higher than 174?​

Answers

Answer:

He needs 132

Step-by-step explanation:

hope it helps

HELP!!!!!!!!!!!!!!!!!!PLEASE!!!!!!!​

Answers

Answer:

its F for the inequality to be true

Kevin hiked 4 miles in 135 minutes. Which equation can be used to find how many hours it took Kevin to hike the 4 miles?

Answers

Answer:

135 divided by 4

Step-by-step explanation:

Can someone please help? I’m in a rush and my brain can’t process things well right now.

Answers

Answer:

50km/h

Step-by-step explanation:

195km/3.9h

= 50km/h

Answer:

the answer is 50km/h

Step-by-step explanation:

Which step? I’m sort of confused

Answers

The answer is C) Step 3

Li forgot to multiply the two negatives in order to get positive 3/10. The answer should not be negative.

The right steps are:

-4/5 / 8/-3

Flip the second part to multiply:

-4/5 * -3/8

Multiply:

12/40

Simplify:

3/10

I hope this helps!


What is the average rate of change from x = 1 to x = 3?

Answers

Answer:

2

Step-by-step explanation:

Since at x = 1, y = -3, and at x = 3, y = 1

the slope is 2 meaning the average rate of change is 2

The average rate would be 2!

Re-write y=x^2– 2x - 3 in vertex form.

Answers

In Vertex form it would be
(1,4)

Answer:

Step-by-step explanation:

y=x²-2x-3

or

y=x²-2x+1-1-3

or

y=x²-2x+1-4

or

y=(x-1)²-4

vertex is (1,-4)

what fraction is not equivalent to 2/6? 1/3, 12/36, 4/12, 6/9

Answers

Answer:

6/9

Step-by-step explanation:

1/3 is half 12/36 is 2×6 and 6×6 4/12 is 2×2 and 6×2 making 6/9 the odd one out as 6 can't go into 9 without making a decimal

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