Which of the following coordinate points is the point of intersection of these two lines? y - 6x = -4 y - 2x = 8 Question 4 options: (−1/2, 7) (12/8,11) (9/6,5) (3, 14)

Answers

Answer 1

Option D: [tex](3,14)[/tex] is the point of intersection of the two lines.

Explanation:

The two equations are [tex]y-6 x=-4[/tex] and [tex]y-2 x=8[/tex]

We need to find the point of intersection of the two lines.

Thus, let us solve the equation by substitution method.

From the equation [tex]y-6 x=-4[/tex], we shall determine the value of y, by adding both sides of the equation by 6x.

Hence, we have, [tex]y=6x-4[/tex]

Now, substituting [tex]y=6x-4[/tex] in the equation [tex]y-2 x=8[/tex] , we get,

[tex]6x-4-2 x=8[/tex]

       [tex]4x-4=8[/tex]

             [tex]4x=12[/tex]

               [tex]x=3[/tex]

Substituting [tex]x=3[/tex] in the equation [tex]y-6 x=-4[/tex], we get,

[tex]y-2 (3)=8[/tex]

   [tex]y-6=8[/tex]

         [tex]y=14[/tex]

Thus, the point of intersection of the two lines is [tex](3,14)[/tex]

Therefore, Option D is the correct answer.


Related Questions

Please help me with this problem

Answers

Answer:

The perimeter is 96 ft

Step-by-step explanation:

Step 1:  Add the given sides

9 + 9 + 9 + 9 + 9 + 9 + 30 + (30 - 9 - 9)

84 + (12)

96

(30 - 9 - 9) gives us the opposite side of 30 ft

Answer:  The perimeter is 96 ft

1+1=? Easiest 5 points! I know answer but I am giving away points for something that everyone knows.

Answers

Answer:

2

Step-by-step explanation:

Step 1:  Add the numbers together

1 + 1

2

Answer:  2

The correct answer is 1 + 1 = 2

A scientist looks at a bacterium and a virus in a lab. The bacterium has a diameter of 10 Superscript negative 6 meters. The virus has a diameter of 10 Superscript negative 7 meters. Which statement accurately compares the sizes of the specimens?

Answers

Answer:

the answer is a

Step-by-step explanation:

Answer:

The diameter of the bacterium is 10 times greater than that of the virus.

Step-by-step explanation:

I just took quiz in edge

Jeanie wrote the expanded form of (0.2)^5
0.2+0.2+0.2+0.2+0.2
Which statement is true?
Jeanie wrote the expanded form correctly
Jeanie should have used only for factors of 0.2 as the base
Jeanie should have multiplied the base by itself five times
Jeanie should have multiplied 0.2 x 5

Answers

Answer:

Jenny should multiplies the base itself five times

Step-by-step explanation:

(0.2)^5 is (.02) multipled by it's self repeated for the number of exponents. Use this as a example 2^x; 2^1 = 2, 2^2 = 2*2, 2^3 = 8, and so on....

Answer:

C I took the test

Step-by-step explanation:

George is playing cards. what is probability of pulling an ace or Jack from the deck

Answers

Answer:

There are 52 cards in a regular deck, and there are 4 aces and 4 jacks (1 for each suit) so the fraction is 8/52. Simplifying, we get: 4/21. So there is a 4/21 chance of pulling an Ace or Jack from a regular deck of cards.

I hope this helps!

A sphere with a radius of 3 cm has the same volume as a cone with a radius of 6 cm. What is the height of the cone?!
2 cm
3 cm
4 cm
5 cm

Answers

Answer:

Step-by-step explanation:

VC = (1/3)·pi·r2·h

VC = volume of a cone

r = radius of base of cone = 6 cm

h = height

VC = (1/3)·pi·62·h

VC = 12·pi·h

VS = (4/3)·pi·r3

VS = volume of a sphere

r = radius of base of sphere = 3 cm

VS = (4/3)·pi·33

VS = 36·pi

Since the volume of the cone and the sphere are equal:

VC = VS

12·pi·h = 36·pi

Solve for h.

Please help I’m failing

What is the negation of the following statement?
m∠A is greater than 90.


A: m∠A is not less than 90.


B: m∠A is less than or equal to 90.

Answers

I’m pretty sure and I think that it is B


Describe what an "included" angle is. Give an example.

Answers

Answer:

The angle between two sides is the included angle.

Example:

In triangle ABC,

Angle B is an included angles because it's formed by two sides AB and CB which meet at point B.

Similarly, other angles in a triangle are also included.

This is for all segments which meet at point, triangle is just one example

I need help in solving this problem involving definite integrals in calculus. The correct answer is A) 64, but I need to know how it was done. Can you please show the steps in solving this? I need to correct my mistake.

Thanks in advance!​

Answers

Answer:

A) 64

Step-by-step explanation:

Integral of f(x+2) is the same as integral of f(x) with limits x+2

Integral of f(x-2) is the same as integral of f(x) with limits x-2

Intrtralof 3x² is x³

3(7) - 5(2) + [4³ - 1]

21 - 20 + 63 = 64

Explain how this method is correct...2 times 3 is 6, and 6 times 5 is 30.

Answers

2 can be multiplied by 3 and it will always give you 6

Answer:

this method is correct because of the PEMDAS

Step-by-step explanation:

write (2,4) and (1,-2) in slope intercept form

Answers

Y=6x-8


Hope this helps!!!

heyy I kinda need help

Answers

Answer:

1.72

Step-by-step explanation: 19.28+25.3= 44.58

46.3-44.58=1.72

All 5 students in Mrs. Awful's class got a 50 on the test. What’s the average grade in this class?

Answers

Answer:

50

Step-by-step explanation:

add them all up and divide by 5

Answer:

50

Step-by-step explanation:

divide them all

50 points!!!
What is the value of x? Enter your answer in the box.
(3x + 50)
(6x – 10)
x=

Answers

Answer:

First of all (3x + 50) is equal to (6x - 10) so (3x + 50) = (6x - 10) 3x + 50 = 6x - 10 60 = 3x 20 = x

Step-by-step explanation:

Answer:

Step-by-step explanation:

(3x + 50)(6x + -10) = 0

Reorder the terms:

(50 + 3x)(6x + -10) = 0

Reorder the terms:

(50 + 3x)(-10 + 6x) = 0

Multiply (50 + 3x) * (-10 + 6x)

(50(-10 + 6x) + 3x * (-10 + 6x)) = 0

((-10 * 50 + 6x * 50) + 3x * (-10 + 6x)) = 0

((-500 + 300x) + 3x * (-10 + 6x)) = 0

(-500 + 300x + (-10 * 3x + 6x * 3x)) = 0

(-500 + 300x + (-30x + 18x2)) = 0

Combine like terms: 300x + -30x = 270x

(-500 + 270x + 18x2) = 0

Solving

-500 + 270x + 18x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.

2(-250 + 135x + 9x2) = 0

Factor a trinomial.

2((-50 + -3x)(5 + -3x)) = 0

HELP ASAP, I'M TIMED

Which equation can be used to solve for angle N in the triangle below?

A. 6.2^2 = 3.6^2 + 4.3^2 - 2(3.6)(4.3)cosN
B. 6.2^2 = 3.6^2 + 4.3^2 + 2(3.6)(4.3)cosN
C. 6.2^2 = 3.6^2 + 4.3^2 - (3.6)(4.3)cosN
D. 6.2^2 = 3.6^2 + 4.3^2 + (3.6)(4.3)cosN

Answers

Option A:

The equation used to solve for angle N is

 [tex]6.2^{2}=3.6^{2}+4.3^{2}-2(3.6)(4.3) \cdot \cos N[/tex]

Solution:

Given data:

MO = 6.2 cm

ON = 4.3 cm

MN = 3.6 cm

To find the equation to solve for angle N:

Using cosine formula,

 [tex]c^{2}=a^{2}+b^{2}-2 a b \cdot \cos C[/tex]

Here, a = 3.6 cm, b = 4.3 cm, c = 6.2 cm, and angle A = angle C

Substitute these in the formula, we get

 [tex]6.2^{2}=3.6^{2}+4.3^{2}-2(3.6)(4.3) \cdot \cos N[/tex]

The equation used to solve for angle N is

 [tex]6.2^{2}=3.6^{2}+4.3^{2}-2(3.6)(4.3) \cdot \cos N[/tex]

Hence option A is the correct answer.

What's the value of x? 40000mg =10x g

Answers

The value of x is 4. So 40000 mg= 40 g.

Step-by-step explanation:

      The given is 40000mg = 10x g

Step:1

      Take given equation as equation (1)

                     40000 mg= 10x g.................(1)

      where, X is known value.

Step:2

      Standard value for mg to g for the purpose of conversion of units,

                      1 milligram = 0.001 gram   (or)

                      1 gram = 1000 milligram

Step:3

      From the standard data values,

                    = 40000 mg

      it converted mg to g by dividing 1000

                    = [tex]\frac{40000}{1000}[/tex] g

                    = 40 g.......................(2)

Step:4

       From the Equations (1) and (2),

                 40=10x

                  x=4

Result:

       The value of x is 4. So, 40000mg = 40 g.

which expressions are equivalent to 2^5/6^5

Answers

3^-5 is the answer to this expression.

Can someone please answer this for me

Answers

Answer:

x = 9

Step-by-step explanation:

MN is a midline segment and is half the length of GH, thus

GH = 2 × MN, substitute values

15x - 45 = 10x ( subtract 10x from both sides )

5x - 45 = 0 ( add 45 to both sides )

5x = 45 ( divide both sides by 5 )

x = 9

What is 12.357 in expanded form

Answers

Answer:

10+2+0.3+0.05+0.007

Step-by-step explanation:

Final answer:

The number 12.357 in expanded form is written as 1 x 10 + 2 x 1 + 3 x 0.1 + 5 x 0.01 + 7 x 0.001. This represents the actual value of each digit in the number depending on its position.

Explanation:

The number 12.357 in expanded form is written as:

1 x 10 + 2 x 1 + 3 x 0.1 + 5 x 0.01 + 7 x 0.001.

Expanded form is a way of breaking down a number into its individual place value components. The correct intention is to show each digit's actual value, considering its position within the number. In this case, '1' is in the 'tens' place, '2' in the 'ones', '3' in the tenths', '5' in the 'hundredths' and '7' in the 'thousandths' place.

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On a scale model of a shopping center, the scale is 1/3 inch to 1 foot. If the actual length of the shopping center is 144 feet, what is the length on the scale model?

Answers

Answer:

48 inches

Step-by-step explanation:

1 in = 3 ft

144/3=48

What is the answer to the problem 21+40(2x-3)

Answers

Answer:

x = 1.2375 or 99/90

Step-by-step explanation:

Step 1:  Distribute

21 + 40(2x - 3)

21 + 80x - 120

Step 2:  Combine like terms

21 + 80x - 120

80x - 99

Step 3:  Solve for x

80x - 99 + 99 = 0 + 99

80x / 80 = 99 / 80

x = 1.2375

Answer:  x = 1.2375 or 99/80

Answer: -99+80x

Step-by-step explanation:

remember to always use PEMDAS

First, Multiplacation

21+40(2x-3)

21+80x-120

then add 21 to 120

-99+80x

this is the farthest you can go hope i could help please mark brainliest!

Maya wants to know how many games the seventh grade students at her school play on their phones. Which is the BEST population for Maya's question? A) All the students in the school. B) All the students in Maya's homeroom. C) All of Maya's seventh grade friends. D) All the seventh grade students at Maya's school.

Answers

Answer:

The best population for Maya's school would be all the seventh grade students at Maya's school, because that is who she wants to know how many games they play.

D. All the seventh grade students at Maya's school.

Hope this helps ;)

Answer:d

Step-by-step explanation:

PLEASE HELP ASAPPP !!!

Answers

Step-by-step explanation:

Given the function

[tex]f\left(x\right)=\frac{1}{2}\cdot 2^x[/tex]

Putting x = -2

[tex]\frac{1}{2}\cdot \:2^{-2}=\frac{1}{2}\cdot \frac{1}{4}=\frac{1}{8}[/tex]

so

(x, f(x)) will be (-2, 1/8)

Putting x = -1

[tex]\frac{1}{2}\cdot \:\:2^{-1}=\frac{1}{2}\cdot \:\frac{1}{2}=\frac{1}{4}[/tex]

so

(x, f(x)) will be (-1, 1/4)

Putting x = 0

[tex]\frac{1}{2}\cdot \:2^0=\frac{1}{2}[/tex]

so

(x, f(x)) will be (0, 1/2)

Putting x = 1

[tex]\frac{1}{2}\cdot \:\:2^1=2\cdot \:\frac{1}{2}=1[/tex]

so

(x, f(x)) will be (1, 1)

Putting x = 2

[tex]\frac{1}{2}\cdot \:\:2^2=4\cdot \:\frac{1}{2}=2[/tex]

so

(x, f(x)) will be (2, 2)

The graph is also attached below.

a farmer has 1384 trees to be planted on a rectangular parcel of land. if there are 21 trees planted in each row and each row must be completed before it is planted, how many trees will be left over after planting?

Answers

Answer:

There will be 19 trees left over after planting.

Step-by-step explanation:

Divide 1384 by 21 which gives you the quotient of 65.90...

Then multiply 65 by 21 which equals 1365

Lastly subtract 1384 and 1365 which gives the answer 19.

1 1/4 how many ounces

Answers

Answer:

There are 2 fluid oz

Step-by-step explanation:

Answer:

2 fluidz

Step-by-step explanation:

Where would you use an inequality in the real world

Answers

Answer: Good question, ill answer in the comments

Step-by-step explanation:

Answer:

money problems

Step-by-step explanation:

let's say your in accounted and the most you've made a week is 150 the inequality would be

ñ<150

WXYZ is a trapezoid with WX ≅ YZ. Isosceles trapezoid W X Y Z is shown. Sides X Y and W Z are parallel. The length of X Y is 3 a minus 4 and the length of W Z is 3 a. Sides W X and Y Z are congruent. The length of W X is 2 a minus 2 and the length of Y Z is a + 1. What is the length of XY? 3 units 4 units 5 units 6 units

Answers

Answer: 5 units

Step-by-step explanation:

Based on the definition of an isosceles trapezoid, the length of XY is: 5 units.

What is an Isosceles Trapezoid?

An isosceles trapezoid is a trapezoid that has two legs that are congruent.

Therefore:

2a - 2 = a + 1

Add like terms

2a - a = 2 + 1

a = 3

XY = 3a - 4

Plug in the value of x

XY = 3(3) - 4

XY = 5 units

Therefore, based on the definition of an isosceles trapezoid, the length of XY is: 5 units.

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If 20 - 2 = 15, what is the value of 3x ?

Answers

Answer:

x = 1

Step-by-step explanation:

20-2 = 18, now -3x = 15

X=1 hope this is correct!

PLEASE ANSWERRRRRRRRRR

A student makes the claim that the space around a charged particle will exert a force on any other charged particle that is placed within this space. If an object is placed between two charged metal plates, one plate that is positively charged and one plate that is negatively charged, which argument BEST supports the student's claim?

A. An object with a positive charge will be attracted to the positive plate.
B. An object with a negative charge will remain stationary between the plates.
C. An object with a negative charge will be attracted to the negative plate.
D. An object with a positive charge will move toward the negative plate.

Answers

Answer: D

Step-by-step explanation:

The claim of the student that supported should be an object along with the positive charge along with will the movement towards the negative plate.

Hence, Option D is true.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Since, We know that;

In terms of physics, the charged particle refer to the particle along with an electric charge. It should be ion like molecule or atom along with a surplus or deficit of electrons with respect to the b.

Hence, In the case when the object should be considered as the positive charge should be movement towards the negative plate so the same should be considered as the student claim.

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Which two ratios form a proportion?
02:3 and 4:12
2:3 and 6:12
2:3 and 12:18
2:3 and 12:36

Answers

2: 3 and 12: 18 form a proportion

Step-by-step explanation:

When the two ratios are equal then they are said to be in proportion.

[tex]$\frac{2}{3}[/tex]  ≠ [tex]$\frac{4}{12} = \frac{1}{3}[/tex]  

So 2:3 and 4:12 are not in proportion.

[tex]$\frac{2}{3}[/tex]  ≠ [tex]$\frac{6}{12} = \frac{1}{2}[/tex]

So 2:3 and 6:12 are not in proportion

[tex]$\frac{2}{3}[/tex]  ≠ [tex]$\frac{12}{18} = \frac{2}{3}[/tex]  

So 2:3 and 12:18 are in proportion

[tex]$\frac{2}{3}[/tex]  ≠ [tex]$\frac{12}{36} = \frac{1}{3}[/tex]

So 2:3 and 12: 36 are not in proportion  

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