Mathematics High School

What is the x-coordinate of the point of intersection for the two lines below?
(2x + y = -9
(2x - 5y =-3

Answers

Answer 1

Answer:

From the graph, it is clear that the point of intersection is:

(x, y) = (-4, -1)

And the x-coordinate of the point of intersection for the two lines is:

x = -4

Step-by-step explanation:

As we know that the solution of the system of equations is the point of intersection. Let us solve it.

Given the system of equations

[tex]\begin{bmatrix}2x+y=-9\\ 2x-5y=-3\end{bmatrix}[/tex]

solving the system of equations

subtracting 2x+y = -9 from 2x-5y = -3

[tex]2x-5y=-3[/tex]

[tex]-[/tex]

[tex]\underline{2x+y=-9}[/tex]

[tex]-6y=6[/tex]

so

[tex]\begin{bmatrix}2x+y=-9\\ -6y=6\end{bmatrix}[/tex]

solving for y

[tex]-6y=6[/tex]

Divide both sides by -6

[tex]\frac{-6y}{-6}=\frac{6}{-6}[/tex]

[tex]y=-1[/tex]

[tex]\mathrm{For\:}2x+y=-9\mathrm{\:plug\:in\:}y=-1[/tex]

[tex]2x-1=-9[/tex]

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

Divide both sides by 2

[tex]\frac{2x}{2}=\frac{-8}{2}[/tex]

[tex]x=-4[/tex]

Thus, the x-coordinate of the point of intersection for the two lines below will be:

[tex]x=-4[/tex]

Also, the graph is attached.

From the graph, it is clear that the point of intersection is:

(x, y) = (-4, -1)

And the x-coordinate of the point of intersection for the two lines is:

x = -4
What Is The X-coordinate Of The Point Of Intersection For The Two Lines Below?(2x + Y = -9(2x - 5y =-3

Related Questions

3. The number of years that Brad has been on the soccer team is 2 less than 5 times the number
of years that Scott has. In total, the boys have been on the soccer team for 10 years. How long
has Brad been on the soccer team?

Answers

Answer:

Answer: Brad has been in the team for 8 years. Trust i got it right on the test

Step-by-step explanation:

Todd and Agnes are making desserts. Todd buys peaches and a carton of vanilla yogurt. Agnes buys the same number of pieces of fruit. Is there a situation in which they pay the same amount for their purchases?

Answers

Answer:

8 fruits

Step-by-step explanation:

Todd and agnes are making desserts. todd buys

peaches and a carton of vanilla yogurt. agnes

buys apples and a jar of honey. they bought

the same number of pieces of fruit. is there a

situation in which they pay the same amount for

their purchases? explain.

apples

peaches=

$1.25 for peaches

$1.00 for apples

yogurt

honey=

$4 for yogurt

$6 for honey

Todd:

Peaches + yogurt

1.25x + 4

Agnes:

1.00x + 6

Where,

x = number of pieces of fruit

Equate the cost of Todd and Agnes

1.25x + 4 = 1.00x + 6

1.25x - 1.00x = 6 - 4

0.25x = 2

x = 2/0.25

= 8

x = 8 fruits

The situation in which they both pay the same amount for their purchases is when they buy 8 fruits each

Help Mee!!! What’s the answer

Answers

Answer:

A.

Step-by-step explanation:

please please help i’ll give brainliest tysm :)

Answers

ANSWER: $1.25

Explanation: $7.50 divided by 6


BRAINLIEST please

Answer:

It's the top answer or A.

Step-by-step explanation:

Because if you have 6 avocados for 7.50 just divide without including the decimal point. 750 divided by 6 is 125

include the decimal point in between 1 and 2

boom 1.25

In the given equation, k is a constant. If the equation has no solution, what is the value of k?

Answers

Answer:

0

Step-by-step explanation:

The value of constant 'k' will be [tex]\frac{1}{3}[/tex].

Given equation in the question is,

[tex]\frac{1}{3}\times (x-k)=kx[/tex]

Further solve the expression for the solution of the equation.

[tex]\frac{3}{3}\times (x-k)=3kx[/tex]

[tex](x-k)=3kx[/tex]

[tex]x-3kx-k=3kx-3kx[/tex]

[tex]x-3kx-k=0[/tex]

[tex]x(1-3k)=k[/tex]

[tex]\frac{x(1-3k)}{(1-3k)}=\frac{3kx}{1-3k}[/tex]

[tex]x=\frac{3kx}{(1-3k)}[/tex]

Since, equation has no value, denominator will be zero.

[tex]1-3k=0[/tex]

[tex]1=3k[/tex]

[tex]k=\frac{1}{3}[/tex]

     Therefore, Option (D) will be the correct option.

Learn more,

https://brainly.com/question/18595944

Independent or Dependent?

Answers

Answer:

independent

Step-by-step explanation:

independent...HOPE THIS HELPS!!

PLSSSSS HELP ANSWER. I NEED THE EXACT ANSWER. What is the slope line of 0,-6 and 2,8.

Answers

Answer:

slope = differemce in "y" / difference in "x"

slope = (8 --6) / (2 -0)

slope = 7

Step-by-step explanation:

help a brudda out its easy work bruddas

Answers

Answer:

Line 1 is y=-x-2

Line 2 is y=[tex]-\frac{1}{5}x+2[/tex]

Slope of Line 1 is -1 Slope of Line 2 is -[tex]\frac{1}{5}[/tex]

Y-intercept of Line 1 is -2 and Y-Intercept of Line 2 is 2

Following statements true: 1, 2, 4

Step-by-step explanation:

Write the following in slope-intercept form.

Answers

Answer:

[tex]\huge\boxed{y=4x-7}[/tex]

Step-by-step explanation:

Linear equations will always be in the form [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept

Since we know nothing about this equation, other than the fact that there are two points in it, we must find the slope and the y-intercept.

Luckily, we have two points to work with. We know that the slope between two points will be the change in y divided by the change in x ([tex]\frac{\Delta y}{\Delta x}[/tex]), so we can use the two points given to us to find both changes.

The y value goes from 1 to 17, which is a [tex]17-1=16[/tex] change.

The x value goes from 2 to 6, which is a [tex]6-2=4[/tex] change.

Now that we know both changes, we can divide the change in y by the change in x.

[tex]\frac{16}{4}=4[/tex]

Now that we know the slope (4), we can plug it into our equation ([tex]y=mx+b[/tex]).

[tex]y=4x+b[/tex]

Now all we need to do is find the y-intercept. Since we know the slope and one of the points the line passes through, we can find the y-intercept by substituting in the values of x and y. Let's use the point (2, 1).

[tex]1 = 4(2) + b[/tex][tex]1 = 8+b[/tex][tex]b = 1-8[/tex][tex]b = -7[/tex]

Therefore our y-intercept is -7. Now that we know the slope and the y-intercept, we can plug it into our equation.

[tex]y=4x-7[/tex]

Hope this helped!

ANOTHER QUESTION PLS HELP! 7TH GRADE MATH

Answers

Answer:

Yes, of 1 1/2

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

8 x what  equals 12

Divide 12 by 8 and that gives you 1.5  

now try 6 x 1.5 = 9

Hope this Helps!!!

What is the median of this data set?

9, 7, 9, 7, 3, 5, 9.

A. 3
B. 4
C. 7
D. 9

Answers

Answer: C
Reason: the median is going to be the number in the middle of all the numbers.
Take two pencils and put one on the last number and the other on the first number. Each time the pencils take a step towards each other. The number at which they meet is the median.
Hope this helps

Which statements are TRUE? Select all that apply. Marisa drives 112 miles in 1 hour and 45 minutes, which means her speed is 64 miles per hour. If 6 pens cost $7.74, then 7 pens cost $9.03. If Raymond drives at a speed of 57 miles per hour, then it takes him 4 hours and 10 minutes to drive 256.5 miles. If 17 identical cans of soup cost $38.59, then 3 of the cans must cost $6.81. Mr. Mayes buys two dozen eggs for $8.40, which means that he pays 70 cents per egg.

Answers

Answer: See explanation

Step-by-step explanation:

a. Marisa drives 112 miles in 1 hour and 45 minutes, which means her speed is 64 miles per hour.

Speed = Distance / Time

= 112 / 1 45/60

= 112 / 1 3/4

= 112 × 4/7

= 64 miles per hour.

TRUE

b . If 6 pens cost $7.74, then 7 pens cost $9.03.

Cost of one pen = $7.74/6 = $1.29

Cost of 7 pens = $1.29 × 7 = $9.03

TRUE

c. If Raymond drives at a speed of 57 miles per hour, then it takes him 4 hours and 10 minutes to drive 256.5 miles.

Speed = Distance / Time

Speed = 256.5 / 57 = 4.5 = 4 hours 30 minutes

FALSE

d. If 17 identical cans of soup cost $38.59, then 3 of the cans must cost $6.81.

Cost of one can = $38.59 / 17 = $2.27

Cost of 3 cans = $2.27 × 3 = $6.81

TRUE

e. Mr. Mayes buys two dozen eggs for $8.40, which means that he pays 70 cents per egg.

A dozen = 12

2 dozens = 12 × 2 = 24

Cost of one egg = $8.40 / 24 = 0.35 = 35 cents

FALSE

Help needed ASAP will give brainliest and 5 STARS VOTE RATE

Answers

Answer:

Nebula

Step-by-step explanation:

These clouds are called nebulae. A typical nebula is many light-years across and contains enough mass to make several thousand stars the size of our sun.

This is an example of a(n)?

A) Contraction
B) Enlargement

Answers

Answer:

A) Contraction

Step-by-step explanation:

Answer:

The answer to this question is Contraction.

Find the slope of the line that passes through the point (4,8) and (3,-3)

WRITE YOUR ANSWER AS A DECIMAL AND ROUND TO THE NEAREST TENTH (1 decimal place)

Answers

Answer:

I don't think it's possible for this to be a decimal because the slope is positive 11.

Step-by-step explanation:

Use slope formula. x2-x1/y2-y1. Since we always go with the smaller x value we do 8-(-3) / 4-3/ We'll get 11 for 8-(-3) and we'll get 1 for 4-3/ so that leaves us with 11/1 which can't be simplified and has no decimal.

i did it and i got 11 i don’t think it comes out as a decimal

If 15% of 200 apples are bad, haw many apples are bad? (Please include explanation)

Answers

Answer:

30 bad apples.

Step-by-step explanation:

1% is equivalent to two bad apples because 200 is the 100%.

According to this statement, multiply 2 x 15.

30 bad apples

A rectangular garden is 4 feet wide and 9 feet long. The dimensions of the pool are 150% larger than the dimensions of the garden.

What are the dimensions of the pool?


600 feet wide and 1350 feet long.

6 feet wide and 13.5 feet long

5.5 feet wide and 10.5 feet long

8 feet wide and 18 feet long

Answers

Answer: B) 6 feet wide and 13.5 feet long

================================================

Work Shown:

150% = 1.5 after moving the decimal 2 spots to the left

Multiply this with each of the dimensions given

4*1.5 = 6

9*1.5 = 13.5

The pool is 6 feet by 13.5 feet

Please help I’ll give you guys brainiest!


Thank youuuuuuu :))

Answers

Answer:

what are you supposed to solve for?

Step-by-step explanation:

Answer:

Can anyone say what are we supposed to ans or solve

Find the zeros of y = x - 8x – 3 by completing the square. O A. x = 4 + /19 O B. X= -4/19 -4 O C. * = 31.77 D. X = +3​

Answers

Answer:

I got -3/7

Step-by-step explanation:

Suppose a is an angle in standard position whose terminal side lies in Quadrant III.
If tan a = 2/3 find the value of sin a.

Answers

Answer:

Step-by-step explanation:

This is a simplified solution.

Find the length of Ac. Round your answer to the nearest tenth

Answers

Answer:

x ≈ 4.3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Trigonometry

[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tan∅ = opposite over adjacent

Step-by-step explanation:

Step 1: Identify Variables

Angle = 35°

Opposite Leg = 3

Adjacent Leg = x

Step 2: Solve for x

Substitute [tangent]:                    tan35° = 3/xMultiply x:                                     xtan35° = 3Isolate x:                                       x = 3/tan35°Evaluate:                                       x = 4.28444Round:                                          x ≈ 4.3

Noah bought a new car. It gets 21.7 miles per gallon
of gas on the highway. His gas tank is able to hold 14
gallons of gas. How many miles can Noah travel on the
highway on one tank of gas?

FIRST TO ANSWER GETS BRAINIEST

Answers

303.8 because one tank holds 14 gallons and each gallon get 21.7 miles

A snow-cone machine priced at $139 is on sale for 20% off. What is the price of the snow-cone machine after the discount?

Answers

Answer:

The answer would be 127. 03

Step-by-step explanation:

What does (6×9)+6+9 equal?

Answers

Answer:

69

Step-by-step explanation:

Multiply 6 by 9

54

Plug this value back into the equation

54 + 6 + 9

Add 54 to 6

60

Now add 9 to 60

69

Hope this helps :)

Please consider Brainliest :)

Sammy Sales had the following receipts for his tree trimming business for the first six months of the year. What is the average of his sales for this period? (Use a thousands comma where applicable.) Jan. Feb. Mar. Apr. May Jun. $1,205 $1,450 $1,530 $1,655 $1,610 $1,710 $

Answers

[tex]average = \frac{sum \: \: of \: \:all \: \: obeservations}{no. \: \: of \: observaions} [/tex]

[tex] = \frac{1205 + 1450 + 1530 + 1655 + 1610 + 1710}{6} [/tex]

[tex] = \frac{9160}{6} [/tex]

[tex] = 1526.66[/tex]

___________________________________________

1526.66 is the average of his sales for this period.

I NEED HELP PLS!! If there are 22 total circles, how many circles must be under each splat?

(Pls be specific too!)

Answers

Answer: 5 under each splat

Step-by-step explanation:

Count how many circles there are. Which is 7 subtract from 22 and u get 15. 15 divided by 3 is 5

In addition to the grains listed above, the recipe also
includes 11 cups of dried fruit. Show how to find the
amount of dried fruit needed if you use 3 cups of oats.

Answers

3/2 = 1.5
11 x 1.5 = 16.5
you would need 16.5 cups of dried fruit

4 and 5 PLEASEEEE!!!

Answers

Answer:

True

Bones seperated from a joint

Step-by-step explanation:

Answer:

5 is bones separated from the joint

Step-by-step explanation:

30 points :) please answer this question for me pleaseee its for homework
please answer it and dont just put a random answer ):

Answers

Answer:

boottom left middle left and top right

Step-by-step explanation:

A soup that serves 8 people calls for 1 cans of chopped clams. 2 cups of chicken broth, 3 cups of milk, and 2 cups of cubed potatoes. Using the ratio provided in this problem and in the table, complete the rest of the table for each amount of people. ​

Answers

Answer:

We’ll, I need the table to answer that.

Step-by-step explanation:

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