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ira [324]
2 years ago
14

A marble begins a marble track at 18.5 inches above the tabletop. It goes down a slide 8 inches long, rides up two paddle wheels

that are 2 1/4 inches each. You want to split the remaining height into three equal sections, how long will each section be?
Mathematics
1 answer:
snow_lady [41]2 years ago
6 0

Answer:

2in

Step-by-step explanation:

18.5in - 8in = 10.5in

10.5in - (2.25in * 2) = 10.5in - 4.5in = 6in

6in / 3 = 2in

Hope it helps,... Chow,...!

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Which representation of a transformation on a coordinate grid preserves congruence?
Zepler [3.9K]

Answer:

Rotations, reflections and translations.

Step-by-step explanation:

Rotations, reflections and translations are transformations that preserve the both the angle measurements and the lengths of the sides, so congruence is preserved.

Dilations are transformations that keep the angle measurements, but the side lengths change, so the transformation is similar, not congruent.

3 0
3 years ago
What is the equation of the line perpendicular to 3x+y= -8that passes through -3,1? Write your answer in slope-intercept form. S
Gekata [30.6K]

Slope intercept form of a line perpendicular to 3x + y = -8, and passing through (-3,1) is y=\frac{1}{3} x+2

<u>Solution:</u>

Need to write equation of line perpendicular to 3x+y = -8 and passes through the point (-3,1).

Generic slope intercept form of a line is given by y = mx + c

where m = slope of the line.

Let's first find slope intercept form of 3x + y = -8

3x + y = -8

=> y = -3x - 8

On comparing above slope intercept form of given equation with generic slope intercept form y = mx + c , we can say that for line 3x + y = -8 , slope m = -3  

And as the line passing through (-3,1) and is  perpendicular to 3x + y = -8, product of slopes of two line will be -1  as lies are perpendicular.

Let required slope = x  

\begin{array}{l}{=x \times-3=-1} \\\\ {=>x=\frac{-1}{-3}=\frac{1}{3}}\end{array}

So we need to find the equation of a line whose slope is \frac{1}{3} and passing through (-3,1)

Equation of line passing through (x_1 , y_1) and having lope of m is given by

\left(y-y_{1}\right)=\mathrm{m}\left(x-x_{1}\right)

\text { In our case } x_{1}=-3 \text { and } y_{1}=1 \text { and } \mathrm{m}=\frac{1}{3}

Substituting the values we get,

\begin{array}{l}{(\mathrm{y}-1)=\frac{1}{3}(\mathrm{x}-(-3))} \\\\ {=>\mathrm{y}-1=\frac{1}{3} \mathrm{x}+1} \\\\ {=>\mathrm{y}=\frac{1}{3} \mathrm{x}+2}\end{array}

Hence the required equation of line is found using slope intercept form

4 0
2 years ago
Margo borrows $1100, agreeing to pay it back with 8% annual interest after 9 months. How much simple
Leokris [45]

Answer: I wrote the answer in docs so here is the pic for the whole equation i explained it too! I hope this helped

7 0
2 years ago
How do you graph y= -3x + 5
ZanzabumX [31]
You first find its intercepts: the x intercept is (5/3,0) and the y intercept is (0,5) (just plot those points). Then make the line connecting those 2 points!
4 0
3 years ago
What is the slope of the line shown?
sashaice [31]
The slope would be -1/3
3 0
3 years ago
Read 2 more answers
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