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Alenkasestr [34]
1 year ago
6

Consider AABC with vertices A(-2, -3) and B(-6, -6) and C(-8, 5).a) Draw AABC on graph paper. Is this a right triangle? JUSTIFY

your answer.b) Reflect AABC across AC to create AA'B'C'. Find the location of B'. What kind oftriangle is ABB'C:? JUSTIFY your answer.
Mathematics
1 answer:
Fiesta28 [93]1 year ago
6 0

Given data:

The graph of the given points is shown below.

The slope of the line passing through A(-2, -3) and B(-6, -6).

\begin{gathered} m=\frac{-6-(-3)}{-6-(-2)} \\ =\frac{-3}{-4} \\ =\frac{3}{4} \end{gathered}

The slope of the line passing through B(-6, -6) and C(-8, 5).

\begin{gathered} m^{\prime}=\frac{5-(-6)}{-8-(-6)} \\ =-\frac{11}{2} \end{gathered}

The slope of the line passing through A(-2, -3) and C(-8, 5).

\begin{gathered} m^{\doubleprime}=\frac{5-(-3)}{-8-(-2)} \\ =\frac{8}{-6} \\ =-\frac{4}{3} \end{gathered}

The product of the slope of line passing through AB and line passing through AC is,

\begin{gathered} m\times m^{\doubleprime}=\frac{3}{4}\times(-\frac{4}{3}_{}) \\ =-1 \end{gathered}

Thus, the line passing through AB and line passing through AC are perpendicular.

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Your friend borrows $7500 to buy an all-terrain vehicle (ATV). The simple annual interest rate is 6%. She pays off the loan afte
e-lub [12.9K]

Answer:

$162.50

Explanation:

The total amount to be paid is 7500+5(7500)(0.06)=$9750.

There were a total of (5)(12)=60 payments, so each payment is 9750/60 = $162.50.

6 0
2 years ago
The graph of f(x) = 2x + 3 shifts 10 units to the right when it is replaced with the graph of f(x) = 2x − k. What is the value o
Nezavi [6.7K]

Answer:

k=17

Step-by-step explanation:

Given F(x)=2x+3  shifts 10 units when it is replaced with the graph f(x)=2x-k.

The method to solve this kind of questions is find where the graph meets the x axis then add ten units to it .The obtained x coordinate is the point where the second graph meets the x axis.

Now first find where the F(x)=2x+3 meets the x axis by substituting F(x)=0.

2x+3=0

x=-\frac{3}{2}

Now add 10 to this x coordinate , we get x1=10-3/2=17/2

this is x coordinate where the second line meets the x-axis.

The second line is F(x)=2x-k.

now f(x)=0 and x=17/2

On substitution we get 0=2*17/2-k

k=17

3 0
3 years ago
Someone who's good at math please help me!!!
timurjin [86]
#1.
Here what you do is cross multiply.
\frac{8x}{13x}
#2.
Same as #1, just cross multiply.
\frac{9x}{12}

You get the gist?
8 0
3 years ago
What is the better estimate of a text book ?
Dmitry_Shevchenko [17]
The answer is one kilogram. one kilogram is about the same as 2 pounds, while one gram is less than an ounce.

Hope this helps!
4 0
3 years ago
5(x - 8) + 15 = 35
Paladinen [302]

Answer:

x=12

Step-by-step explanation:

5(x-8) + 15 = 35

<em>First remove the parenthesis by multiplying</em>

5x-40 + 15 = 35

<em>Add -40+15</em>

5x -25 = 35

<em>Add 25 to both sides</em>

5x=60

<em>Divide both sides by 5</em>

x=12

Now you can plug in 12 for x if you need to, it will equal 35

8 0
3 years ago
Read 2 more answers
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