What is the y value in this system of equations?
3x + 2y = 16
7x + y = 19

Answer:

Lines A and C are parallel

Lines B and D are perpendicular

Step-by-step explanation:

Given

See attachment for lines A to D

Required

Determine the parallel and perpendicular lines

To start with, we calculate the slope of each line.

Line A

The points on line A are:

[tex](x_1,y_1) = (3,-4)[/tex]

[tex](x_2,y_2) = (-1,2)[/tex]

Calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{2 - (-4)}{-1 - 3}[/tex]

[tex]m = \frac{2 +4}{-4}[/tex]

[tex]m = \frac{6}{-4}[/tex]

[tex]m_1 = -\frac{3}{2}[/tex]

Line B

[tex](x_1,y_1) = (-1,8)[/tex]

[tex](x_2,y_2) = (2,6)[/tex]

Calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{6 - 8}{2 -(-1)}[/tex]

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

[tex]m_2 = -\frac{2}{3}[/tex]

Line C

[tex]y - 9 = -\frac{3}{2}(x + 8)[/tex]

Open bracket

[tex]y - 9 = -\frac{3}{2}x -\frac{3}{2}* 8[/tex]

[tex]y - 9 = -\frac{3}{2}x -3* 4[/tex]

[tex]y - 9 = -\frac{3}{2}x -12[/tex]

Make y the subject

[tex]y = -\frac{3}{2}x -12+9[/tex]

[tex]y = -\frac{3}{2}x -3[/tex]

The slope intercept of an equation is: [tex]y = mx + b[/tex]

Where

[tex]m = slope[/tex]

By comparison:

[tex]m_3 = -\frac{3}{2}[/tex]

Line D

[tex]12x - 8y = 40[/tex]

Subtract 12x from both sides

[tex]12x-12x - 8y = -12x+40[/tex]

[tex]- 8y = -12x+40[/tex]

Divide through by -8

[tex]\frac{- 8y}{-8} = \frac{-12x}{-8}+\frac{40}{-8}[/tex]

[tex]y= \frac{12x}{8}-\frac{40}{8}[/tex]

[tex]y= \frac{3}{2}x-5[/tex]

The slope intercept of an equation is: [tex]y = mx + b[/tex]

Where

[tex]m = slope[/tex]

By comparison:

[tex]m_4 = \frac{3}{2}[/tex]

So, the slopes of the lines are:

[tex]m_1 = -\frac{3}{2}[/tex]      [tex]m_2 = -\frac{2}{3}[/tex]     [tex]m_3 = -\frac{3}{2}[/tex]       [tex]m_4 = \frac{3}{2}[/tex]

Lines with the same slope are parallel.

So:

Lines A and C with slope of [tex]-\frac{3}{2}[/tex] are parallel

Lines with the following relationship are perpendicular:

[tex]m * M = -1[/tex]

Lines B and D are perpendicular because:

[tex]-\frac{2}{3} * \frac{3}{2} = -1[/tex]

[tex]-\frac{6}{6} = -1[/tex]

[tex]-1 = -1[/tex]

Hi there!

For 2.9 months to reach 4.9 month, simply subtract both terms to find the result of months left to get to 4.9 months.

[tex]4.9-2.9=4-9+9-9=2.0[/tex]

Final Result: 2.0

Answer: To find the coterminal angle of a 50° angle, add 360°. It would follow that 50°+360°=410°. A 410° angle is illustrated below. From the graphical representation of the angle, we can conclude that these two angles do indeed share the same terminal side, meaning they are coterminal.

Step-by-step explanation:

The positive and negative coterminal angle for 50 degrees are 410 degrees and -310 degrees respectively.

'Coterminal angles are the angles that have the same initial side and share the terminal sides.'

According to the given problem,

To find positive coterminal angle, we have to add 360 degrees to it,

⇒ 50 + 360 = 410 degrees.

To find negative co terminal angle, we have to subtract 360 degrees from it,

⇒ 50 - 360 = -310 degrees.

Hence, we can conclude that 410 degrees and -310 degrees are the coterminal angle for 50 degrees.

Learn more about coterminal angle here: https://brainly.com/question/23141159

#SPJ2

Answer:

I believe you're learning geometry. Anyways, here are examples of natural numbers: 1, 2, 3... Meanwhile, here are examples of whole numbers: 0, 1, 2, 3... Natural numbers are all the positive whole numbers. Whole numbers are quantities that are both positive and neutral, and don't include any fractions or decimals.

Step-by-step explanation:

Answer:

Red: 2.035 x 10(4)

Step-by-step explanation:

Answer:

Red.

Step-by-step explanation:

Scientific notation consists of the ones place with a decimal right after it and a 10 to the something power next to it, therefore red is your answer.

Answer:

about 67 times

Step-by-step explanation:

hope this helps :)

Answer:

+ 1/4

Explanation:

Additive inverses are numbers that equal 0 when added together.

-1/4 + (+1/4) =

-1/4 + 1/4 = 0

Answer:

1:6

Step-by-step explanation:

1500:9000

=150:900 (divide by ten)

=15:90 (divide by ten)

= 1:6. (divide each number by 15)

Answer:

15 seats per row or x=15

Step-by-step explanation:

26x = 390

390/26 = 15

PLZ MARK AS BRAINLIEST

Answer:

15

Step-by-step explanation:

26x = 390

26       26

x = 15

Answer:

(a+2)

Soo you could solve by removing the parenthesis, then combining all like terms. Then subtract.

Answer:

4 - 1 = 3

10 - 6 = 4

Step-by-step explanation:

Answer:

63 boquets were sold in the afternoon.

Step-by-step explanation:

Divide 90 by 10 to get 9. Then multiply 9 by 3.

Answer:

23.1 pounds.

Step-by-step explanation:

Multiply 140 by 0.165.

Answer:

-11, 4, and 22

Step-by-step explanation:

Expression: 3b-5

when b=-2

Expression: 3(-2)-5=-11

When b=3

Expre; 3(3)-5=4

When b=9

Expre; 3(9)-5=22

Answer:

did you ever get the answer bc I have this and need help pls and thank you

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.5%

Answer:

w= 2 3/4

Step-by-step explanation:

First, we need to find what can equal w. So, we can subtract 1/2 form both sides, so one sides has just w and one side has just a number. 3 1/4-1/2= 2 3/4. So w= 2 3/4

Answer:

2 3/4

Step-by-step explanation:

3 1/4 = 1/2 + w

Transfer 1/2 to other side

3 1/4 - 1/2 = w

Solve

w = 2 3/4

Hope this helps!! Please give Brainliest!!

Answer:

Step-by-step explanation:

5/7

Answer: D

Step-by-step explanation:

Answer:

x = 15

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation:

For any triangle, the basic principle for these types of problems is that the sum of the 2 shorter sides has to be greater than the longest side, otherwise it is not a triangle, even if it's equal to the longest side.

So, let's look at the first option. 4.5. Since this is an isosceles triangle and the base is 8.8 units, the other side has to be 4.5 as well. 4.5+4.5=9. 9 > 8.8. So, we can immediately eliminate options 8.9 and 17.7. What about 4.3? Well, 4.3+4.3= 8.6, but 8.6 < 8.8, so 8.6 is wrong. So, the answer is 4.5.

Answer: Solution :  

Step 1 :

Make a scatter plot of Lily’s running data.

Step 2 :

To draw a trend line, use a straight edge to draw a line that has about the same number of points above and below it. Ignore any outliers.

Step 3 :  

Find the slope of the trend line.

The line passes through points (2, 20) and (4.5, 45).

Use the slope formula.  

m  =  (y2 - y1) / (x2 - x1)

Substitute x1, = 2, y1 = 20, x2 = 4,  and y2 = 45.

m  =  (45 - 20) / (4.5 - 2)

m  =  25 / 2.5

m  =  10

Step 4 :  

Find the y-intercept of the trend line.

Slope-intercept form equation of a line :  

y  =  mx + b

Plug y = 20, m = 10 and x = 2.  

20  =  10 · 2 + b

20  =  20 + b

Subtract 20 from both sides.  

0  =  b

Step 5 :  

Use your slope and y-intercept values to write the equation.

Slope-intercept form equation of a line :  

y  =  10x + 0

So, the equation for the trend line is

y  =  10x

Example 2 :

David records the number of chapters and the total number of pages for several books as given below.  

No. of chapters

3

4

5

8

10

11

15

17

19

No. of pages

20

44

50

95

90

130

125

170

160

Step-by-step explanation:

Answer:

negitive :)

Step-by-step explanation:

Answer:

543.6

Step-by-step explanation:

answer is 543.6 :)

Answer:

Step-by-step explanation:

[tex]|FE| = |CB| = 4\cdot2=8\,cm\\\\|ED|=|DC|= \sqrt{(3\cdot2)^2+(4\cdot2)^2}= \sqrt{6^2+8^2}=\sqrt{100}=10\,cm\\\\|FA|=|AB|= \sqrt{(6\cdot2)^2+(8\cdot2)^2}= \sqrt{144+256}=\sqrt{400}=20\,cm\\\\\\Circumference = FE+ED+DC+CA+AB+FA\\\\Circumference =8+10+10+8+20+20=76\,cm[/tex]

Answer:

x=3.2

x=15/6

x=3 1/5

es que necesito para diagnostico

Answer:

8/45 or 0.177...... (the seven continues forever).

Step-by-step explanation:

8/9 ÷ 5

First, turn 5 into a fraction. That will be 5/1

8/9 ÷ 5/1

When you're dividing fractions, you flip the second fraction and turn the division sign to a mutiplication sign

8/9 ÷ 1/5

8/9 * 1/5

Now you multiply. We will multiply the numerator and then the denominators through since there are no common factors.

8 * 1/9 * 5

8/45

Answer:

i DONT KNOW

Step-by-step explanation:

Answer:

Arithmetic

Step-by-step explanation:

use photomath for that that's way easier