line F has a slope of. -6/3 and line G has a slope of -8/4.
what can be determined about distinct lines F and G?

Answers

Answer 1

Given:

Slope of line F = [tex]-\dfrac{6}{3}[/tex]

Slope of line G = [tex]-\dfrac{8}{4}[/tex]

To find:

The conclusion about distinct lines F and G.

Solution:

We have,

Slope of line F = [tex]-\dfrac{6}{3}[/tex]

                        = [tex]-2[/tex]

Slope of line G = [tex]-\dfrac{8}{4}[/tex]

                        = [tex]-2[/tex]

The slopes of lines F and G are equal and we know that the slopes of two parallel lines are always equal.

Therefore, the line F and line G are parallel to each other.


Related Questions

HELP! Use the elimination method to solve the system of equations.

A. (0,8)

B. (-4,0)

C. (-2,4)

D. (0,3)

Answers

Answer:

B, (-4,0)

Step-by-step explanation:

2(4x - 2y = -16)       8x - 4y = -32

   8x - 4y = -32

+  -3x + 4y = 12

  5x  = -20

x = -4

4(-4) - 2y = -16

-16 - 2y = -16

-2y = 0

y = 0

f(x) = x5 – 9x3 Choose all of the zeroes of f(x)

Answers

Answer:

[tex]x^{3} (x^{2} -9)[/tex]

[tex]x^{3} (x+3)(x-3)[/tex]

zeros at : 0,3,-3

Step-by-step explanation:

What is the value of (3/10)^3?

♡ 3/1000
♡27/1000
♡9/10
♡27/10

Answers

Answer:

27/10 is the value of (3/10)^3.

Step-by-step explanation:

It is also written as 0.027

what is 1/4 of the H.C.F of 24,16,48​

Answers

Answer:

2

Step-by-step explanation:

What is 1/4 of the H.C.F of 24,16,48​

Your answer

GIven data

24,16,48​

let us find the HCF of the above numbers

24=2*2*2*3

16= 2*2*2*2

48=2*2*2*2*3

Hence the HCF is 2*2*2= 8

Let us find 1/4 of the HCF

=1/4*8= 2

Hence the final answer is 2

Tony is 3 years older than Marie. This can be modeled with the following equation

Answers

Answer:

M = T - 3

Step-by-step explanation:

Given

T = M + 3 ( subtract 3 from both sides )

T - 3 = M , that is

M = T - 3

Answer:

[tex] \small \sf \: M = { \fbox { \green{T} } } - 3[/tex]

Step-by-step explanation:

T = M + 3

Swap the sides of of equations .

M + 3 = T

subtract 3 from both side

M + 3 - 3 = T - 3

M = T - 3

The equation for the circle below is x2 + y2 = 100. What is the length of the
circle's radius?

Answers

Answer:

Step-by-step explanation:

x²+y² =(Radius)²

x²+y² =10². So the radius is 10

Answer:

radius = 10

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ( where r is the radius )

x² + y² = 100 ← is in this form

with r² = 100 ( take the square root of both sides )

r = [tex]\sqrt{100}[/tex] = 10

The pie chart represents the results when 120 people in a shopping centre were asked which country they were born in. Uk:84 What fraction of people were born in the UK? Give your answer in its simplest form.

Answers

Answer:

22 people were born in the uk  (66 ÷ 360) × 120=22

Step-by-step explanation:

Using the pie chart, the fraction of people born in the UK, is: 7/30.

What is a Pie Chart?

A pie chart is a graphical representation used to describe the composition of a data using degrees or percentages.

84° is given as the number of people that were born in the UK.

That's about: 84/360 × 120 = 28 people.

28 out of 120 people would give us a fraction of: 28/120 = 7/30.

Learn more about pie chart on:

https://brainly.com/question/26851221

#SPJ2

help me right now pls ?!

Answers

Answer:

B) =−7j−k−1

Step-by-step explanation:

10k+17-7j-18-11k what we have

=(−7j)+(10k+−11k)+(17+−18) combine like terms

=−7j−k−1

Answer:

-7j-k-1

Step-by-step explanation:

for this problem you have to subtract the like terms while following the order of the equation (start with the terms on the left and move terms)

Step 1:

-7j has no like terms

= -7j

Step 2:

10k and -11k are like terms

10k-11k

= -1k

Step 3:

17 and -18 are like terms

17-18

= -1

Step 4:

put all simplified terms together

=-7j-k-1

Can someone please help me with this?

Answers

Answer:

A - True

B - False

C - True

D - False

E - True

Step-by-step explanation:

Mr smith owns a bike store and typically marks up the bikes 20% over the price that the bikes cost him. The bikes cost him 69.95.
Need answer asap pls help will mark as brainliest!!

Answers

Answer: $83.94

Step-by-step explanation:

20% = 0.2

69.95 + 69.95(0.2) = 69.95(1 + 0.2) = 69.95(1.2) = 83.94

plisss help me in thiss

Answers

Answer:

x=80

Step-by-step explanation:

The angle of a line is 180*.

The equation would be (x+20)+x=180

Subtract 20 from both sides: 2x=160

Divide by 2: x=80

That's your answer!

I hope this helps!

Answer:

x=80

Step-by-step explanation:

I cant explain well but edge 2021 never lie's!

Can someone help me with this question please. I've been struggling.

Write the equation of the line of reflection​

Answers

Answer:

y=-1

Step-by-step explanation:

Since we see an overlap, the line must cross through the original image.We can solve the equation of the line of reflection by realizing there is no slope because the reflection is parallel to the x-axis.

The first step for deriving the quadratic formula from the quadratic equation, 0 = ax2 + bx + c, is shown.

Step 1: –c = ax2 + bx

Which best explains or justifies Step 1?

subtraction property of equality
completing the square
factoring out the constant
zero property of multiplication

Answers

Answer:

subtraction property of equality

Step-by-step explanation:

From the Standard form for quadratic equation, it is possible to see that step 1 represents the subtraction property of equality.

Quadratic function

The quadratic function can be represented by a quadratic equation in the Standard form: ax²+bx+c=0 where: a, b and c are your respective coefficients. In the quadratic function the coefficient "a" must be different than zero (a≠0), the coefficient c is a constant and the degree of the function must be equal to 2.

From the Standard form: ax²+bx+c=0, it is possible to see that step 1:

–c = ax² + b represents the subtraction property of equality.

Read more about a quadratic function here:

brainly.com/question/1497716

Simplify:
a.5³×5‐²×5⁴.
b.a⁴×a‐²×x³.
c.(x⁵)²×(y⁵)³
__________
(x³)³×(y²)²

Answers

Answer:

a. 125 * 0.04 * 625 = 5 * 625 = 3125

b. a^2 * x^3

c. x^10 * x^ y^15

Last one: x^9 * y^4

Step-by-step explanation:

Because yes.

Find the length of side xx in simplest radical form with a rational denominator.

Answers

Answer:

2/3.

Step-by-step explanation:

.

Answer:

Solution given:

the relationship between perpendicular and base is given by tan angle

Tan 60=opposite/Adjacent

[tex]\sqrt{3}[/tex]=x/3

x=[tex]3\sqrt{3}[/tex]

The value of x is [tex]3\sqrt{3}[/tex]

which of the following is the equation of a line that passes through the points (1,6) and(2,1)

Answers

Answer:

y=1x-5

Step-by-step explanation:

it goes over to the right 1 time and down 5

(1+1,6-5)=(2,1)

help me to solve this question please faster thankyouu​

Answers

Answer:

Step-by-step explanation:

u799

Solve the system of equations.
5x – 4y = -10
y = 2 x – 5
x =
y =

Answers

Answer:

6x2+3y2=12,x+y=2,2x-y=-1x+y=4,x-y=2

Step-by-step explanation:

I just know.

Answer:

Step-by-step explanation:

5x – 4y = -10

y = 2 x – 5

Rearrage the equation:

5x – 4y = -10 (1)

-2 x +y =  5.  (2)

pluging variable y equation2 in 1

5x - 4•(2x-5) = -10

 -3x = -30

Solve equation [1] for the variable  x  

3x = 30

x = 10

x = 10

y = 2x-5

Use the  x  value to solve for  y  

y = 2(10)-5 = 15

x= 10

y= 15

URGENT PLS ANSWER QUICKLY​

Answers

Answer:

5 is 14cm . 14 is 2pie r. 6 is 120

Answer:

Question 5 = 14

Question 6 = 120

I hope this helped!

Aflati al 2013 lea termen al unei progresii aritmetice cu termenul al treilea egal cu 12 si diferenta a doi termeni consecutivi, 4.

Answers

Răspuns:

8052

Explicație pas cu pas:

Al treilea termen al unei progresii aritmetice:

T (n) = a + (n - 1) d

Unde ;

a = primul termen; d = diferență comună = 4; n = al treilea termen (numărul termenului)

Al treilea (3) termen:

T (3) = a + (3-1) 4

T (3) = 12

12 = a + 2 (4)

12 = a + 8

12 - 8 = a

4 = a

Prin urmare, primul termen = a

Al 2013-lea mandat;

T (2013) = a + (2013-1) d

T (2013) = 4 + (2012) 4

T (2013) = 4 + 8048

= 8052

How many triangles are there in the picture?
Clue, there are more than 30.

Answers

Answer:

36?

Step-by-step explanation:

Answer:

42 Triangles

Step-by-step explanation:

Count all the triangles one by one and determine the # of triangles.

Integrate with respect to x

1/√(1-2x)

Answers

Answer:

-√(1 - 2x) + C

Step-by-step explanation:

1/√(1-2x)

We want to integrate it. Thus;

∫1/√(1 - 2x) dx

Let u = 1 - 2x

Thus;

du/dx = -2

Thus, dx = -½du

Thus,we now have;

-½∫1/√(u) du

By application of power rule, we will now have;

-½∫1/√(u) du = -√(u) + C

Plugging in the value of u, we will have;

-√(1 - 2x) + C

Which of the following numbers does not have
factors that include the smallest factor (other
than 1) of 119 ?
A. 28
B. 35
C. 40
D. 63

Answers

Answer:

C. 40

Step-by-step explanation:

The smallest factor of 119 (other than 1) is 7.

28/7 = 4,

35/7 = 5,

40/7 = 5 5/7

63/7 = 9

So it is 40

If f(x) = [tex]\frac{1}{9}[/tex] x-2, what is [tex]F^{-1}[/tex](x)

Answers

Answer:

Solution given:

f(x) = [tex]\frac{1}{9}[/tex] x-2

let f(x)=y

y = [tex]\frac{1}{9}[/tex] x-2

interchanging role of x and y

x= [tex]\frac{1}{9}[/tex] y-2

x+2= [tex]\frac{1}{9}[/tex] y

y=9(x+2)

y=9x+18

So

F-¹(x)=9x+18

and

F-¹(-1)=9*-1+18=-9+18=9

IM AM SO CONFUSED
Find the solution set.
8x2 - 2x – 1=0
Separate the two values with a comma.

Answers

Hello,

Answer (1/2,-1/4)

[tex]8x^2-2x-1=0\\\\8x^2-4x+2x-1=0\\\\4x(2x-1)+2x-1=0\\\\(2x-1)(4x+1)=0\\\\sol=\{\dfrac{1}{2} ,-\dfrac{1}{4} \}\\[/tex]

Which of the following values is closest to the standard deviation for the set
of data shown below?
23, 64, 73, 47, 22, 46, 34, 48, 67, 89, 83, 12, 23, 44, 16

Answers

It’s A thinks for the time

The triangle below is isosceles. Find the length of side xx in simplest radical form with a rational denominator.

Answers

Answer:

Solution given:

Since the given triangle is isosceles and right angled triangle

perpendicular [p]=base[b]=x

hypotenuse [h]=6

we have

by using Pythagoras law

p²+b²=h²

x²+x²=6²

2x²=36

x²=36/2

x²=18

x=[tex]\sqrt{18}[/tex]

x=[tex]\bold{3\sqrt{2}}[/tex]

The length of side x in simplest radical form with a rational denominator is [tex]3\sqrt{2}[/tex]

Let the perpendicular base be x.

Given the following data:

Hypotenuse = 6 units.

To determine the length of side x in simplest radical form with a rational denominator, we would apply Pythagorean's Theorem:

What is the Pythagorean Theorem?

Mathematically, Pythagorean's Theorem is given by this formula:

[tex]c^2 = a^2 + b^2[/tex]

Substituting the given parameters into the formula, we have:

[tex]6^2 = x^2 + x^2\\\\36=2x^2\\\\18=x^2\\\\x=\sqrt{18} \\\\x=3\sqrt{2}[/tex]

Read more on Pythagorean Theorem here: https://brainly.com/question/16176867

18x-108
-----------
6x-54

simplify the expression




A.

B.

C.

D.

Answers

Answer:

3x-2

---------

x-1

Step-by-step explanation:

simplify 18x/6x = 3x/1x

simplify 108/54 = 2/1

Find the integral of x(4x² + 1) from 0 to 2. a. 18 c. 22 b. 16 d. 20

Answers

Answer:

a. 18

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Algebra I

Terms/Coefficients

Calculus

Integrals

Definite Integrals

Integration Rule [Reverse Power Rule]:                                                                      [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Rule [Fundamental Theorem of Calculus 1]:                                        [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]

Integration Property [Multiplied Constant]:                                                             [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Integration Property [Addition/Subtraction]:                                                           [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \int\limits^2_0 {x(4x^2 + 1)} \, dx[/tex]

Step 2: Integrate

[Integrand] Distribute x [Distributive Property]:                                              [tex]\displaystyle \int\limits^2_0 {(4x^3 + x)} \, dx[/tex]Rewrite Integral [Integration Property - Addition/Subtraction]:                     [tex]\displaystyle \int\limits^2_0 {4x^3} \, dx + \int\limits^2_0 {x} \, dx[/tex]Rewrite 1st Integral [Integration Property - Multiplied Constant]:                 [tex]\displaystyle 4\int\limits^2_0 {x^3} \, dx + \int\limits^2_0 {x} \, dx[/tex][Integrals] Reverse Power Rule:                                                                      [tex]\displaystyle 4(\frac{x^4}{4}) \bigg| \limits^2_0 + (\frac{x^2}{2}) \bigg| \limits^2_0[/tex]Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]:              [tex]\displaystyle 4(4) + 2[/tex]Evaluate:                                                                                                           [tex]\displaystyle 18[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

Book: College Calculus 10e

What is a counterexample to this claim?
All quadrilaterals are parallelograms.
OA a rectangle
OB.
a rhombus
ОС. .
a square
OD.
a trapezoid

Answers

I believe A Rhombus would be your answer

Answer:

The answer is D.

Step-by-step explanation:

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