Assume that the probability of a driver getting into an

riangle STV was dilated with the origin as the center of dilation to form S'T'V'. What is the scale factor of the dilation?

omeli [17]

The rule for dilation (scale factor k) about the origin is given by:
(x,y)->(kx,ky)
The scale factor k is therefore obtained by dividing the corresponding coordinates of the image by those of the preimage, namely
scale factor = k = $\frac{OS'}{OS}=\frac{OT'}{OT}=\frac{PV'}{OV}$
where O is the origin (0,0)

3 0

4 years ago

Part A: What is the s-intercept, and what does it represent in this situation? What is the t-intercept, and what does it represe

dusya [7]

Part A: The s-intercept is (0,6). The s-intercept represents the amount of shirts sold in the hundreds. There t-intercept in this problem. And Since there is no t-intercept, t represents the year of 2000

Part B: How the graph reacts is as it starts, it starts out as a steady, strait line. Then when it hits (-4,5) it start to incline slightly. What it means is it is doing really well.

Part C: The average rate of change is 0.333333 over a distance of 6.32456.

Part D: The graphs would differ greatly, because f(t) inclines slowly where g(t) would be way steeper and be vertical way before f(t)

5 0

3 years ago

How do you draw congruent triangles

aleksandrvk [35]

Answer:

Step-by-step explanation: To write two triangles are congruent you need to draw three lines. So, (first triangle) an equals sign with one extra line underneath and then the last triangle.

7 0

3 years ago

The University of Texas at Austin has three times as many students enrolledas the University of Miami. The University of Califor

harina [27]

Answer:

University of Texas has 46,500 students, University of California has 34,000 students and University of Miami has 15,500 students.

Step-by-step explanation:

Represent Texas with T, Miami with M and California with C. With the given information, the following equations were obtained.

T = 3 × M

T – 3M = 0 ………………………….(i)

C = 3,000 + 2 × M

C – 2M = 3,000…………………..(ii)

T + C + M = 96,000…………….(iii)

By rearranging, we have:

1T + 0C – 3M = 0 ………………………….(i)

0T + 1C – 2M = 3,000…………………..(ii)

1T + 1C + 1M = 96,000………….…….(iii)

The Augmented Matrix is:

$\left[\begin{array}{ccc}1&0&-3\\0&1&-2\\1&1&1\end{array}\right]$ $\left[\begin{array}{ccc}T\\C\\M\end{array}\right]$ = $\left[\begin{array}{ccc}0\\3,000\\96,000\end{array}\right]$

Making $\left[\begin{array}{ccc}T\\C\\M\end{array}\right]$ the subject of the formula we have:

$\left[\begin{array}{ccc}T\\C\\M\end{array}\right]$ = $\frac{\left[\begin{array}{ccc}0\\3,000\\96,000\end{array}\right]}{\left[\begin{array}{ccc}1&0&-3\\0&1&-2\\1&1&1\end{array}\right]}$

Let’s say matrix A = $\left[\begin{array}{ccc}1&0&-3\\0&1&-2\\1&1&1\end{array}\right]$ , the inverse of matrix A = $\left[\begin{array}{ccc}\frac{1}{2} &-\frac{1}{2} &\frac{1}{2} \\-\frac{1}{3} &\frac{2}{3} &\frac{1}{3} \\-\frac{1}{6} &-\frac{1}{6} &\frac{1}{6} \end{array}\right]$ is determined by the formula $\frac{Adjoint(A)}{determinant(A)}$ . This can also be computed directly on a scientific calculator.

$\left[\begin{array}{ccc}T\\C\\M\end{array}\right]$ = $\left[\begin{array}{ccc}\frac{1}{2} &-\frac{1}{2} &\frac{1}{2} \\-\frac{1}{3} &\frac{2}{3} &\frac{1}{3} \\-\frac{1}{6} &-\frac{1}{6} &\frac{1}{6} \end{array}\right]$ $\left[\begin{array}{ccc}0\\3,000\\96,000\end{array}\right]$

= $\left[\begin{array}{ccc}46,500\\34,000\\15,500\end{array}\right]$

T = 46,500

C = 34,000

M = 15,500

6 0

4 years ago

Read 2 more answers

Include a step by step explanation pls ty

Eduardwww [97]

The division problem is 7 divided by 15. this can be written as 7/15. to do this, you first know that 15 doesn't go into 7, so you add a decimal point, and make the 7 70. 15 goes into 70 4 times. 15 times 4 is 60. 70-60 is 10. 15 doesn't go into 10, so you add another 0 and bring it down. 15 goes into 100 6 times. 15 times 6 is 90. 100-90 is 10. 15 doesn't go into 10, so you bring down another 0. 15 goes into 100 6 times. 15 times 6 is 90. 100-90 is 10. at this point, you can probably guess that the 6 will go on for a while. this means it is repeating. this means your answer is "a".

4 0

2 years ago