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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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I believe it would be 96/65
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3 years ago
What is the product of the rational expressions shown below? Make sure your
VikaD [51]

Answer:

5x / (x - 4)

Step-by-step explanation:

(x + 1)/(x - 4) • 5x/(x + 1)

Method 1:

Cancel out x + 1

Leaving 5x/(x - 4)

Method 2:

(x + 1)/(x - 4) • 5x/(x + 1)

Multiply numerator and denominator separately

= 5x(x + 1) / (x - 4)(x + 1)

Cancel out (x + 1) in the numerator and (x + 1) in the denominator

= 5x / (x - 4)

Therefore,

(x + 1)/(x - 4) • 5x/(x + 1) = 5x / (x - 4)

7 0
3 years ago
Write the equation of a line that is perpendicular to y=-0.3x+6 and that passes through the point (3,-8)
MariettaO [177]
Hey there!

First, let's look at what perpendicular means. Imagine a cross, where there's all 90 degree angles. That's exactly what we're talking about when we say perpendicular. The given equation is in slope-intercept form, where we have:

y = mx + b
where m is the slope and b is the y-intercept.

When we're writing an equation with a perpendicular slope, we use the negative reciprocal of the given slope. Thus, we can make 0.3 1/3, and take the reciprocal to make 3, and make it negative 3 as it's the negative reciprocal. Now, we know we have a line with the slope of -3 and goes through (-3, 8). We can use the x and y values in this set of points, along with the slope, to create an equation to solve for b. That gives us:

8 = -3(-3) + b
8 = -9 + b
17 = b

Now, since we have slope and y-intercept, we can write our equation as:

y = -3x + 17

Hope this helps!
5 0
3 years ago
Read 2 more answers
What's 1/9 of 22 hours​
xxTIMURxx [149]

Answer:

2\frac{4}{9}  hours

Step-by-step explanation:

22 ÷ 1/9 = 2 4/9

Hope this helps

4 0
3 years ago
1/2 of the children at a party like chocolate ice cream, 2/3 like vanilla ice cream, and 1/3 like chocolate and vanilla. What fr
alexandr402 [8]

Answer:

\frac{1}{2}

Step-by-step explanation:

We have been given that 1/2 of the children at a party like chocolate ice cream, 2/3 like vanilla ice cream, and 1/3 like chocolate and vanilla.

To find the fraction of children, who like vanilla also like chocolate, We will divide the fraction of children who like chocolate and vanilla by the fraction of children who like vanilla.

\text{Fraction of those who like vanilla also like chocolate}=\frac{\frac{1}{3}}{\frac{2}{3}}

Since we know that dividing a fraction by another fraction is same as multiplying the first fraction by the reciprocal of second fraction.

\text{Fraction of those who like vanilla also like chocolate}=\frac{1}{3}\times\frac{3}{2}

After cancelling out 3 from numerator and denominator of our fraction, we will get,

\text{Fraction of those who like vanilla also like chocolate}=\frac{1}{2}

Therefore, the fraction of those who like vanilla also like chocolate is \frac{1}{2}.


6 0
3 years ago
Read 2 more answers
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