What is the x-coordinate of the point in the standard (x,y) coordinate plane at which the 2 lines y = 2x + 6 and y = 3x + 4 intersect?Can you please explain with some details?

Answers

Answer 1

Answer:

The x-coordinate of the point in the standard (x,y) coordinate plane at which the 2 lines y = 2x + 6 and y = 3x + 4 intersect is:

x=2

Step-by-step explanation:

The point of intersection of the two lines is the point where the y-value of the two lines are equal.

Now, in order to find the x-coordinate of the point of intersection we equate the equation of two lines in terms of x and by some operation we obtain the value of x.

Here the equation of two lines are:

y = 2x + 6 and y = 3x + 4

Now, on equating the y-value we have:

2x+6=3x+4

Now,

3x-2x=6-4

i.e.

x=2

Also, on putting the value of x in any of the two equation of lines we have:

y=10

Hence, the point of intersection is: (2,10)

Answer 2

Answer: You have to solve equation system:
$\left \{ {{y=2x+6}|*(-1) \atop {y=3x+4}} \right. \n \left \{ {{-y=-2x-6} \atop {y=3x+4}} \right. \n 0=x-2\n x=2$

Or you can also graph it. Look at enclose.
To graph it you have to draw two lines choosing two points for each one.
For example:
y=2x+6
so if x=0 y = 6
if x = 1 y = 8
You connect this points and you have y=2x+6 line. You do this the same with the second line.

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Noah made 1 1/2 dozen blueberry muffins and 1 3/4 dozen lemon muffins. He needs to take 5 dozen muffins to the bake sale. How many dozen more muffins does he need to bake?

Answers

1 1/2 + 1 2/4 +1/4 + x= 5 combine like terms
3 1/4 +x= 5 subtract 3 1/4 from both sides(3.25 also)
x=1.75 also known as 13/4
so Noha would have to make 1 and 3/4 dozen of muffins to make 5 dozen

Melanie made a circular necklace. She puts beads evenly spaced around the necklace. If the 4th bead is directly across from the 11th head, how many beads are on the necklace

Answers

If the 4th lies opposite the 11th, then you know the 3rd lies opposite the 10th, the 2nd opposite the 9th, and the 1st opposite the 8th; meanwhile, in the reverse direction you'd find that the 5th lies opposite the 12th, the 6th opposite the 13th, and the 7th opposite the 14th. Move up one more bead and you're back at the 1st, which you already know lies opposite the 8th. Therefore there are 14 total beads.

14 in total beads ...

3
pies
×
3
cups per pie =

cups

Answers

Answer: 9 cups

Step-by-step explanation:

$3*3=9$

What are the real and imaginary parts of the complex number?

9+7i

Answers

Answer:

9 is the real part and 7i is the imaginary part

Step-by-step explanation:

A complex number is written in the form a+bi where a is the real part and bi is the imaginary part

9 = real part

7i is the imaginary part

What is the distance between point A and point B to the nearest tenth?A. 6.0
B. 9.0
C. 4.2
D. 1.4

Answers

3^2+3^2=|AB|^2
18=|AB|^2
|AB|=4.2

Answer C.

William put $100 in a bank account last year. Now he has 1/12 more money in the account. Which expressions represent how much money William has in his bank account now? Choose all answers that are correct. a.100-(1/12*100) b.100+(1/12*100) c.100+(13/12*100) d.13/12*100

Answers

well he put 100 dollars in his account

he then added 1/12 more money
so the amount of money he has is 1 and 1/12 of 100 dolars 1 and 1/12 is equal to 12/12+1/12=13/12
so b. [100+(1/12*100)] makes sense and d.[13/12*100] makes sense

I think its b and d because b : 100 add half a hundred. thats right.
d : 1 and a half of 100. thats right too. hope this helped!

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