MATHEMATICS HIGH SCHOOL

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 1

Answer:

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 2

Answer:

Answer:

Step-by-step explanation:

Answer:

Using the fundamental counting principle, the total possible outcomes are:

Step-by-step explanation:

The spinner is spun, and 2 coins are flipped.

Now when a spinner is spin then total 8 outcomes are possible.

Since any of the 8 numbers could be obtained on the spin( 1 to 8)

and when a coin is flipped then there are only two possible outcome i.e.

either Head or Tail.

Hence, the total number of possible outcomes are:

8×2×2=32

( since the first possibility 8 is possible from spinner and the '2' outcomes are possible from each of the flip of a coin )

Hence, the answer is:

For place values that occur to the left of the decimal point, each place value is ten times ______ than the place value to its right.a. exponential
b. fractional
c. smaller
d. larger

Answers

d. think about it this way. the closer it is to decimal, the closer it is to a whole number which is the "biggest"

Final answer:

Each place value to the left of the decimal point in a number is ten times larger than the place value to its right.

Explanation:

In mathematics, specifically in the idea of place value, each position to the left of the decimal point is ten times larger than the place value to its right. For example, in the number 1234.0, the '1' is in the thousands place, which is ten times larger than the hundreds place where '2' is located. Likewise, the '2' in the hundreds place represents a value that is ten times larger than the tens place where '3' resides, and so on.