Line f passes through points (8, 7) and (3, 10). Line g passes through points (5, 7) and (10, 4). Are line f and line g parallel or perpendicular?

Answers

Answer 1

Answer: Parallel

Step-by-step explanation:

First find slope.

Line f: [tex]\frac{10-7}{3-8} =-3/5[/tex]

Line g: [tex]\frac{4-7}{10-5}=-3/5[/tex]

Since the slopes are the same, the lines are parallel.

Answer 2

First we need to find the slope of each line

Slope of line f

(8 , 7)  (3 , 10)

[tex]slope = \frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

[tex]slope = \frac{10-7}{3-8}[/tex]

[tex]slope = \frac{3}{-5}[/tex]

[tex]slope=-\frac{3}{5}[/tex]

Slope of line g

(5 , 7)  (10 , 4)

[tex]slope = \frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

[tex]slope = \frac{4-7}{10-5}[/tex]

[tex]slope = \frac{-3}{5}[/tex]

[tex]slope=-\frac{3}{5}[/tex]

The two lines have the same slope therefore they are not perpendicular but instead parallel to each other.


Related Questions

PLEASE ANSWER 9 AMD 10 I BEG YOU YOU DONT NO HOW MUCH IT WOULD HELP

Answers

9a: 1/5. She takes a 1/5 and puts it in each so your fraction is 1/5

9b: $105. 525 / 5 = 105

10: Option 1. He gains more money this way.

In option 1 if he gets his allowence for 4 weeks, he would make $15 (1+2+4+8).

But in option 2 he would only make $4 because the square of 1 is 1 (1+1+1+1)

Hope that helps and hope I did that correctly

#9

Total amount = $525

Split by a fraction, divide by 5 and then again divide by 5:

525*1/5*1/5 = 525*1/25 = 21a) The fraction = 1/25b) The amount = $21#10

Option 1 results in sequence:

1, 1*2=2, 2*2=4, 4*2=8, etc

Option 2 results in sequence:

1, 1² = 1, 1² = 1, 1² = 1, etc.

It's obvious that option 1 is a better choice.

The formula for converting from Celsius to Fahrenheit is F=9/5C+32. The Fahrenheit temperature of a certain city has never exceeded 86 degrees. How would you describe this using Celsius temperature?

Answers

Answer:

The temperature in Celsius in this city has never exceeded 30 °C

Step-by-step explanation:

Just substitute F by the temperature in Fahrenheit and solve the equation:

86 = 9C/5+32 Multiply both sides by 5

5×86 = 9C +32×5

430 = 9C + 160 Subtract 160 in both sides

270 = 9C Divide both sides by 9

30 = C

PLEASE HELP MEE!!!!!!!​

Answers

the answer is C

V=Sh
S=pi*r*r=16pi
h=6
V=16pi*6=96pi

6. Write the equation that contains the point (3,-9), and in which the graph of the line has a slope of 4 in slope-intercept fom​

Answers

Answer: y=4x-9

Step-by-step explanation: y=mx+b .  formula

!!I WILL MARK BRAINEST!! number 6 please. i did the question but i’m not sure if i even got the answer correct. please help me, thank you!

Answers

Step-by-step explanation:

If everything is kept in terms of x then:

For part A the general area would just be side times side.

Here it would be (30x)(4x)

=[tex]120x^{2}[/tex]

For part B since you have 5 sections divide the long side by 5.

[tex]\frac{30x}{5} =6x[/tex]

Then multiply by the other side of the rectangle to find the area of one section.

6x(4x)=[tex]24x^{2}[/tex]

Alternatively you could just divide the large area by 5 to get the area of one section.

[tex]\frac{120x^{2} }{5}=24x^{2}[/tex]

round to the nearest tenth 2.380952381

Answers

Answer:

2.4

Step-by-step explanation:

2.380952381 < 2.4

the decimal digits all round up to the next tenth

-4 = u - 7 solve for u

Answers

Answer:

u = 3

Step-by-step explanation:

-4 = 3 - 7

u = 3 Hope this helps!

Line g || line h? Why?

Answers

Answer:

Step-by-step explanation:

We say that two lines (on the same plane) are parallel to each other if they never intersect each other, ragardless of how far they are extended on either

7/8 ÷3/4


pls help me past my tst

Answers

Answer:

[tex]\cfrac{7}{6}[/tex]

Step-by-step explanation:

[tex]\cfrac{7}{8} \div \cfrac{3}{4}[/tex]

Divide 7/8 by 3/4 by multiplying 7/8 by the reciprocal of 3/4:

[tex]\cfrac{7}{8}\times[/tex] [tex]\dbinom{4}{3}[/tex]

Now, multiply 7/8 times 4/3 by multiplying numerator times numerator and denominator times denominator:

[tex]\cfrac{7\times 4}{8\times 3}[/tex]

Do multiplication in fraction: [tex]\cfrac{7\times 4}{8\times 3}[/tex]

[tex]\cfrac{28}{24}[/tex]

Reduce fraction [tex]\frac{28}{24}[/tex] to lowest terms by extracting and canceling 4 out:

[tex]\cfrac{7}{6}[/tex]  [tex]\checkmark[/tex]

___________________________

guys…..am i hot?????

Answers

Nope because I said so

Answer:

just btw there is no pic lol

Step-by-step explanation:

2. Select all the irrational numbers ILL GIVE ALL MY POINTS PLS HURRY


6x


49


-1.405


-0.3


V2

Answers

Answer:

1.405,0.3 and v2 nrjfbdjwbskcheidjwjdu

1) Simplify the expression
(3-4i)(1+5i)-(2-i)

2) Simplify the expression
^3√27x^6y^4

PLEASE SHOW WORK!

Answers

Answer:

21 + 12i

Step-by-step explanation:

Given

(3 - 4i)(1 + 5i) - (2 - i) expand the product of factors

= 3 + 11i - 20i² - 2 + i

= 3 + 11i + 20 - 2 + i  collect like terms

= 21 + 12i

1. Which is the meaning of the inequality - 6 < x in words?
Negative 6 is less than or equal to a.
Negative 6 is not equal to .
Negative 6 is greater than 3
Negative 6 is less than 2.

Answers

Answer:

first choice

Step-by-step explanation:

Richard tosses a ball into the altThe function b(t) = - 5t ^ 2 + 10t + 6 the the ball itDoes the a height of 12 m?

Answers

Answer:Nope

Step-by-step explanation:

The equation, b(t) = - 5t ^ 2 + 10t + 6, is a parabola with a vertex.  We must find whether that vertex is equal to or exceeds 12m.  One can graph the equation and find that the vertex is at (1,11), below the 12.  It cannot reach 12 meters.

[One may also differentiate the equation and set it equal to zero (the point at which the slope of the parabola is zero, which will be at the vertex as it begins downward)].

Solve the system of equations without graphing. Show your reasoning.

2y=x−4
4x+3y=5

Answers

[tex]\displaystyle \begin{cases} 2y=x-4 \\4x+3y=5 \end{cases } \Rightarrow \ominus \left \{ {{x-4=2y} \ | \cdot 4 \atop {4x+3y=5}} \right. \Rightarrow \\\\\\ 4x-16-4x-3y=8y-5 \\\\ -3y-16=8y-5 \\\\ -3y-8y=16-5 \\\\-11y=11 \\\\ y=-1 \ \ ; \ \ x=2y+4=2 \\\\ \rm Answer : \ (2 \ ; \ -1 )[/tex]

the zeros of the function f(x)=-(x+1)(x-3)(x+2) are -1,3 and ___ and the y-intercept of the is located at (0,__)

Answers

Also x=-2 is zero for function

Which fraction is equal to 0.7 repeating

Answers

Answer:7/9

Step-by-step explanation:

Answer:

7/9

Step-by-step explanation:

I hope this helps you.

Wes wants to spend under $15 on lunch. He decides to buy pizza slices, which cost $2.50 each and a two liter soda which costs $1.75. What is the maximum number of pizza slices Wes can buy?

Answers

The maximum number of slices of pizzas he can buy is 12

which point is on the graph of f(x) = 2 * 5^x

Answers

Answer:

4,8

Step-by-step explanation:

Trust me

1x+3 = 5x+2 what is the value of x?

Answers

Answer:

x = 1/4

Step-by-step explanation:

1x+3 = 5x+2

1 = 4x

x = 1/4

Answer:

x= [tex]\frac{1}{4}[/tex]

---------------------------------------------------------------------------------------------------------------

Check:

1x[tex]\frac{1}{4}[/tex]+3 = 5x[tex]\frac{1}{4}[/tex]+2

0.25+3=1.25+2

3.25=3.25

This is true so X=[tex]\frac{1}{4}[/tex]

---------------------------------------------------------------------------------------------------------------

If this helped pls give me brainliest

Karla is making fresh grape jelly. She buys 18.7 pounds of grapes.

Estimate the total cost. $2.78(18.7)

Karla will spend about___on grapes.
1. $19
2. $36
3. $40
4. $60

Answers

The answer is #4. About $60

Answer:

60

Step-by-step explanation:

read answer from list below this question

A painter charges $15.30 per hour, plus an additional amount for the supplies. If he made $187.81 on a job where he worked 7 hours, how much did the supplies cost?

Answers

Answer:

$80.87

Step-by-step explanation:

The cost of supplies would be $80.87 This is because 15.33 • 7 = 107.31 and 188.18 - 107.31 = 80.87

Find the slope and use the point to write an equation of the line in point slope form.

Answers

Answer:

y + 1 = [tex]\frac{1}{2}[/tex] (x + 2)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, - 1) and (x₂, y₂ ) = (0, 0) ← 2 points on the line

m = [tex]\frac{0-(-1)}{0-(-2)}[/tex] = [tex]\frac{0+1}{0+2}[/tex] = [tex]\frac{1}{2}[/tex]

Using (a, b ) = (- 2, - 1 ) , then

y - (- 1) = [tex]\frac{1}{2}[/tex] (x - ( - 2) ) , that is

y + 1 = [tex]\frac{1}{2}[/tex] (x + 2) ← in point- slope form

On average, a person’s heart beats about 4.2×107 times per year. There are about 7,600,000,000 people in the world. Use this data to approximate the number of heartbeats for all the people in the world per year. Expressing your answer in scientific notation in the form a×10 b , what are the values of a and b ?

Answers

A person heart beats is 4.2 x 10∧7

there are 7,600,000,000= 7.6 x 10∧9

the heartbeats for all the people here on earth= 4.2 x 10∧7 x 7.6 x 10∧9

choosing like terms

4.2 ×7.6×10∧7×10∧9

31.92x10∧(7+9)

31.92×10∧16

a=31.92

b=16

Answer:

[tex]3.192*10^1^7[/tex]

Step-by-step explanation:

To find this value, multiply the two values given:

4.2x10^7 = 4.2 x ( 10 x 10 x 10 x 10 x 10 x 10 x 10) = 42000000

42000000 x 7600000000 = 319200000000000000

Then convert 319200000000000000 into scientific notation:

319200000000000000 = 3.19200000000000000

Cut off all the zeroes and I moved the decimal 17 places to the left, so the exponent will be positive:

[tex]3.192*10^1^7[/tex]

A shipping container will be used to transport several 50-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 24000 kilograms. Other shipments weighing 3900 kilograms have already been loaded into the container. Write and solve an inequality which can be used to determine xx, the number of 50-kilogram crates that can be loaded into the shipping container.

Answers

Answer:

See below

Step-by-step explanation:

Capacity of the container = 24000 kgLoaded weight = 3900 kgNumber of crates = x

Required inequality:

50x + 3900 ≤ 24000

Solving:

50x ≤ 20100x ≤ 20100/50x ≤ 402

Answer:

Inequality: 50x+9500≤27500

Answer: x≤360

Step-by-step explanation:

Rewrite each polynomial in standard form then identify the leading coefficient, degree, and number of terms 5x^3+ 2x-1-10x^2+9x^5-3x^4

Answers

Answer:

9x⁵-3x⁴+5x³-10x²+2x-1

degree = 5

leading coefficient = 9

number of terms = 6 (many terms)

Step-by-step explanation:

(x^2 + 2x + 2)(x + 5) = 0

Answers

x=-5, -1+i, and -1 -i
Is the answer

4x -5 <11
solve for x

Answers

Answer:

x < 4 is the solution.

I hope this helps!

Answer:

The answer is x<4. I hope this helps!

3 4. What is the slope of the line that passes through (-2, 1) and (8,5)? ​

Answers

Answer: 2/5

Explanation: Ask if you want an explanation!

Answer:    slope = ²/₅

Step-by-step explanation:      

      The question gives us two points, (-2, 1) and (8,5), from which we can find the slope and later the equation of the line.

Finding the Slope

The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)      

                                          =  (5 - 1) ÷ (8 - (-2))    

                                          =   ⁴/₁₀

                                          = ²/₅  

Checking my answer:

We can check to see if the answer is correct by drawing the line and seeing if it passes through both points. If it does, then the slope is correct.

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:

                                ⇒  y - 1 =  ²/₅ (x + 2)

                                       

In the graph below (created using Desmos), the line passes through both points. This suggests that we calculated the slope correctly.

In the expression x is a real number, and a andare integers.
Use the properties of integer exponents to rewrite
BIU.
as an exponential expression with a single base and exponent

Answers

Answer:

a-n=1

Step-by-step explanation:

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