MATHEMATICS HIGH SCHOOL

Solve by substitution. Show each step of your work.

2x + y = 7

3x + 5y = 14

Answers

Answer 1
Answer: Alright...simple...showing all steps.. ;)

You have the equations...

2x+y=7
and
3x+5y=14

To be able to even solve for any of the variables...multiply the equations by...2...and..3...

2x+y=7----*3--> 6x+3y=21
and
3x+5y=14-----*2--->6x+10y=28

Thus,

6x+3y=21
-
6x+10y=28

=========

-7y=-7

y=1

Now, plug y back into any of the original equations....we'll use 2x+y=7 in this case....

2x+(1)=7

2x+1=7
      -1  -1

2x=6

x=3

Thus, the point of intersection for these two equations is (3,1)

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Two and ninety-six hundreths in decimal form

Answers

Answer: Two and ninety-six hundredths in decimal form would be 2.96!

Step-by-step explanation:

Xz is 15 and the perimeter of triangle xwz is 50 what is the length of wz

Answers

Well if you have a congruent lines, and you have P = 50 and xz = 15 P = xz + 2 * wz so to find wz you need to subtract xz and divide by 2 50 - 15 = 35 and then divide by 2 to get 17.5

Solve - 2x - 8> 3x + 12.
Please help!

Answers

Answer:

B. X < -4

Step-by-step explanation:

-2x - 8 > 3x + 12

Subtract 3x from both sides

-5x -8 > 12

Add 8 both sides

-5x > 20

Divide -5 both sides

X < -4

Answer: x < -4

Step-by-step explanation:

Subtract 3x from both sides

-5x - 8 > 12

Add 8 to both sides

-5x > 20

Divide both sides by -5

x < -4

True or False. A sinusoid is a function whose values repeat based on positions of a point that moves around a circle.

Answers

The correct answer is:

True.

Explanation:

A sinusoidal function is based on the sine function, or sine wave.

The sine wave repeats based on its period. The period of the sine function is 2π, or 360°. Depending on the transformations applied to the function, the period of the transformed function may be different, but will always be based around this idea of repeating every 2π radians.

Since 2π = 360°, this corresponds with a circle. This means the graph repeats based on positions of a point that move around a circle.

Answer:

True

Step-by-step explanation:

A.P.E.X.

ActivityThe equation y = x + 1 represents plane A and y = -x + 21 represents plane B, where x is the time in minutes and y is the fuel in tons.

Part A
Go to your math tools and open the Graph tool to graph the two sets of equations. To see where the two lines intersect, change the scale so that the x-axis goes from 0 to 30 and the y-axis goes from 0 to 12. Paste a screenshot of the resulting graph in the answer space.



Part B
At which point do the lines intersect?



Part C
Do the coordinates of the point of intersection satisfy both equations simultaneously?

Answers

Answer:

Part-A: refer to the attachment

Part-B: (10,11)

Part-C: yes

step-by-step explanation:

Part-A:

refer to the attachment

(I used a online graphing calculator to graph the equations which made the work easy)

Part-B:

When two lines share exactly one common point, they are called the intersecting lines and thepointis called thepointof interception

Looking at the graph,we can understand that the two lines share a common point at (10,11),

hence,

The lines intercept at the point (10,11)

PartC:

well, to find the answer of this part, we can consider doing equality check by substituting the value of the point we got.

The point (10,11) means that the left and right hand side of both of the equations i.e \text{y=x+1 and y=-x+21} are equal when x and y equal to 10 and 11 respectively.

So let's justify the points:

equation-1:

  • y = x + 1

substitute the value of x and y respectively:

  • 11\stackrel{?}{=}10+1

simplify addition:

  • 11\stackrel{\checkmark}{=}11

equation-2:

  • y = -x + 21

substitute the value of x and y respectively:

  • 11\stackrel{?}{=}-10+21

simplify addition:

  • 11\stackrel{\checkmark}{=}11

so,

Yes,the coordinates of the point of intersection satisfy both equations simultaneously

Answer:

h

Step-by-step explanation:

Spencer is designing the interior of a house. The length of one room is twice as long as it's width

Answers

Final answer:

The subject of this question is Mathematics at a High School level. The length of the room is twice the width.

Explanation:

The subject of this question is Mathematics and it is at a High School level.

Step 1: Define the variables

Let the width of the room be represented by w.

Then, the length of the room would be 2 times the width, so it can be represented as 2w.

Step 2: Set up an equation

Since we know that the length is twice the width, we can write the equation:

2w = l

Step 3: Solve for the length

To find the length, we substitute the value of the width into the equation:

2w = 2 * w

l = 2w

So, the length of the room is twice the width.

Learn more about Interior design

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L=w+w so W*2=L. i’m gonna need some numbers but that’s the basic equation
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