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Butoxors [25]
3 years ago
13

A coordinate grid is mapped onto a video game screen, with the origin at the lower left corner. The game designer programs a tur

tle to move along a linear path that passes through the points (0, 0) and (10, 8).
The designer also programs a bird with a path that can be modeled by a quadratic function. The bird starts at the vertex of the path at (0, 20) and passes through the point (10, 8).

What is the slope of the line that represents the turtle's path?
Mathematics
2 answers:
Tanya [424]3 years ago
4 0
Is the second paragraph meant to throw you off??? Because the answer to the question does not rely on the information based from the second paragraph...

Anyway, we know that the turtle started from (0, 0) and moved to (10, 8). Let's assume that (0, 0) is (x1, y1), and that (10, 8) is (x2, y2) for the sake of calculations.

To find how far the turtle moved to the right (along the x-axis) we take x1 from x2:

x2 - x1 = 10 - 0
= 10 = x2
***this is the "run"

To find how far the turtle moved upwards (along the y-axis) we take y1 from y2:

y2 - y1 = 8 - 0
= 8 = y2
***this is the "rise"

Notice that when something moves away from the origin the distance it traveled along the x-axis and y-axis is the same as its final position (or coordinates to where it traveled to).

Therefore, the,

slope = rise / run
= x2 / y2
= 10 / 8
= 5 / 4 (preferable for use)
= 1.25
faltersainse [42]3 years ago
4 0

Answer:

The answer is 0.8

Step-by-step explanation:

I'm doing the assignment now.

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Given f(x)= -5x + 1, solve for x when f(x) = 6.
aniked [119]
-29

-5(6) + 1
-30 + 1
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hope this helps !
7 0
3 years ago
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Mai runs around a 400 meter track at a constant speed of 250 meters per minute. How many minutes does it take Mai to complete 4
goldfiish [28.3K]

Answer:

6.4 minutes, or 6 minutes and 24 seconds

Step-by-step explanation:

She is running 4 laps, so she is running 1600 meters total.  If she runs 250 meters per minute, divide 1600 by 250 to determine how many minutes it will take...

1600/250  =  6.4

Which is 6 minutes + 0.4 minutes          

*there are 60 seconds in a minute, so the 0.4 represents 40% of another minute.  Multiply 60 by 0.4 to see how many seconds this is...

(0.4)60  = 24 seconds,

So she ran the laps in 6 minutes and 24 seconds

7 0
3 years ago
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What is the measure of each interior angle of a regular octagon ?
hodyreva [135]

Answer:

135 degrees

Step-by-step explanation:

6 0
3 years ago
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omar will donate up to $500 to charity. the money will be divided between two charities: the city of youth fund and educational
marshall27 [118]

Answer:

Please refer to the attached graph

Step-by-step explanation:

Knowing the following:

X = amount of money donated to the city youth fund

Y = amount of money donated to the educational growth foundation

We can write the statements in form of equations:  

"Will donate up to $500, the money will be divided between two charities"

(a) X + Y = \$ 500

"The amount donated to the educational growth foundation to be at least four times the amount donated to the city youth fund"

(b) Y \geq 4X

If we graph both equations we can see the area where both conditions are met (see graph attached)

Where the blue line is (a) and the red line is (b)

Shaded area represent all the possible solutions for the donations, for example:

X=100 and Y=400 or

X=50 and Y=200, etc.

6 0
2 years ago
Can someone please help me with this problem
Serjik [45]

Answer:

1. 35

2. 145

3. 55

4. 90

5. 145

Step-by-step explanation:

1. 35: angle 1 and 2 are a linear pair (meaning it is in one line and adds to 180). Since we know angle 2 is 145, ∠1 = 180 - 145

∠1 = 35

2. 145: ∠7 = ∠2 because they are alternate angles and alternate angles are equal

3. 55: ∠7 = ∠5 + ∠4 because vertically opposite angles are equal. We know that ∠5 = 90, hence ∠4 would equal 145 - 90 = 55

4. ∠5 = 90. It is given

5. 145: ∠9 = ∠2 because they are vertically opposite

4 0
3 years ago
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