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mylen [45]
3 years ago
15

The map shows the location of a mall, library, and school in a city: Coordinate grid shown from negative 16 to positive 16 on x

axis at intervals of 2, and negative 10 to positive 10 on y axis at intervals of 2. A triangle is shown with vertices labeled Library, Mall, and School. Library is the ordered pair negative 15, 6, Mall is the ordered pair 15, 6, and School is the ordered pair 15 and negative 10. Mike traveled from the school to the mall and then from the mall to the library. Henry traveled from the school to the library. How many more miles did Mike travel than Henry? 10 miles 12 miles 34 miles 46 miles
Mathematics
1 answer:
matrenka [14]3 years ago
3 0
16 because 8 is = to 15
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What is the range of the set of data : 13, 16, 10, 15, 6, 6​
aniked [119]
The range is the difference between the largest and smallest number. So for those numbers the lowest value is 6 and the highest is 16. So 16 - 6 = 10

So the range is 10
6 0
2 years ago
Find the slope of the line that passes through (2,21) and (84, -30)
Flura [38]

Answer:

-51/82.

Explanation:

Given two points (x1,y1)=(2,21) and (x2,y2)=(84,-30), we find the slope using the formula below:

m=\frac{y_2-y_1}{x_2-x_1}

Substitute the given points:

\begin{gathered} m=\frac{-30-21}{84-2} \\ m=-\frac{51}{82} \end{gathered}

The slope of the line that passes through the given points is -51/82.

3 0
1 year ago
If T: (x, y) → (x + 6, y + 4), then T-1: (x,y) → _____.
alexgriva [62]

T is a linear transformation from R²→R² with basis {(1,0),(0,1)}
T: (x,y)→(x+6,y+4)

A function from one vector space to another that preserves the underlying (linear) structure of each vector space is called a linear transformation.

Then the vector (1,0) goes to (1+6,4)=(7,4)=7(1,0)+4(0,1)

and the vector (0,1) goes to (6,1+4)=(6,5)=6(1,0)+5(0,1)

So, the matrix of the transformation is

\left[\begin{array}{ccc}7&6\\4&5\end{array}\right]

The inverse of the matrix is

\left[\begin{array}{ccc}\frac{5}{11}&\frac{-6}{11}\\ \\\frac{-4}{11}&\frac{7}{11}\end{array}\right]

So, the Inverse Transformation is given by

T^{-1}(x,y)=\left[\begin{array}{ccc}\frac{5}{11}&\frac{-6}{11}\\ \\\frac{-4}{11}&\frac{7}{11}\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right] =(\frac{5x-6y}{11}, \frac{-4x+7y}{11})

So, no option is correct. And the answer is

T^{-1}(x,y)=(\frac{5x-6y}{11}, \frac{-4x+7y}{11})

Learn more about linear transformations here-

brainly.com/question/13005179

#SPJ10

5 0
2 years ago
Approximate: log5 4/7
Evgesh-ka [11]
   Properties of Logs

logb(x/y) = log<span>bx</span> - log<span>by</span>.

therefore

log5 (4/7)= log5 (4)- log5 (7)

<span>Solve log 5 (4) and log 5 (7)  with the base change of the logarithm</span>

<span>log 5 4 = log 4 / log 5 </span>

 Use the calculator: 

<span> <span>log 5 4 =0.8613531161 </span></span>

 log 5 7 = log 7 / log 5 

<span>log 5 7 =1.2090619551</span>

<span>log5 (4/7)= log5 (4)- log5 (7)=-0.347708839</span>

6 0
3 years ago
Read 2 more answers
the mall is 84 meters long. the post office is 38 meters long. how much longer is the mall than the post office
Flauer [41]

Step-by-step explanation:

length of mall=84m

length of post office=38m

how much longer is the mall than the post office=84-38= 46m

7 0
3 years ago
Read 2 more answers
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