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Law Incorporation [45]
4 years ago
11

Question 1 (10 points) (02.03 MC) Figure ABCD is transformed to obtain figure A′B′C′D′: A coordinate grid is shown from negative

6 to 6 on both axes at increments of 1. Figure ABCD has A at ordered pair negative 4, 4, B at negative 2, 2, C at negative 2, negative 1, D at negative 4, 1. Figure A prime B prime C prime D prime has A prime at ordered pair 3, negative 4, B prime at 5, negative 2, C prime at 5, 1, D prime at 3, negative 1. Part A: Write the sequence of transformations that changes figure ABCD to figure A′B′C′D′. Explain your answer and write the coordinates of the figure obtained after each transformation. (6 points) Part B: Are the two figures congruent? Explain your answer. (4 points)
Mathematics
1 answer:
Ksju [112]4 years ago
4 0

Answer:

25

Step-by-step explanation:

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Use the function below to find F(2).<br> F(t) = 2•1/2^3t
navik [9.2K]

Answer:

F(2)= \frac{1}{32}

Step-by-step explanation:

The given function is

F(t) = 2 \cdot \:  \frac{1}{{2}^{3t} }

To find F(2), we substitute t=2 into the function.

This means that wherever we see t, we put 2

F(2) = 2 \cdot \:  \frac{1}{{2}^{3 \times 2} }

We multiply the exponent in the denominator to get:

F(2) = 2 \cdot \:  \frac{1}{{2}^{6} }

We evaluate to get:

F(2) = 2 \cdot \:  \frac{1}{64}

We now cancel the common factors to get:

F(2) = \frac{1}{32}

6 0
3 years ago
Seven cards are face-down on a table. Each of the cards has exactly one of the numbers 1, 2, 4, 6, 7, 8 and 10 facing down. No t
Zarrin [17]
Which of the following individuals may be required to undergo HIV testing? a) Employees of a small business with limited health insurance resources b) A technician at an HIV testing lab c) A convicted sex offender d) A nurse applying for a job at a hospital
3 0
3 years ago
Larry has taken out a loan for college. He started paying off the loan with a first payment of $150. Each month he pays, he want
motikmotik
14   Σ  [(1.3^n) * (150)]n = 0
Using the sigma notation to find the sum of his first 15 payments, each of the possible values of n (from 0 to 14) are substituted into the equation. After which, each of the results are then added to each other. Also, the problem states that only the first 15 payments are to be included in the notation. This shows that the series is limited and is finite. Therefore, it is a convergent series.
4 0
4 years ago
Sales tax on a guitar that costs $140 is $7 dollars what is the percent of sales tax? 140 = p% x 7
svlad2 [7]

Answer:

5%

Step-by-step explanation:

Solve for p by simplifying both sides of the equation, then isolating the variable

5 0
3 years ago
What is the slope of a line perpendicular to the line whose equation is 15x+18y=270. Fully simplify your answer.
In-s [12.5K]

Answer:

6/5

Step by step explanation:

Here we are provided with a equation which is ,

\longrightarrow 15x + 18y = 270

And we are interested in finding the slope of the line which is perpendicular to the given line. We may rewrite the equation as ,

\longrightarrow 18y = -15x +270\\

\longrightarrow y =\dfrac{-15x+270}{18}\\

\longrightarrow y =\dfrac{-15}{18}x +\dfrac{270}{8}\\

\longrightarrow y =\dfrac{-5}{6}x +\dfrac{135}{4}

Recall the slope intercept form of the line which is <u>y</u><u> </u><u>=</u><u> </u><u>mx</u><u> </u><u>+</u><u> </u><u>c</u><u> </u>.On comparing to which we get ,

\longrightarrow m =\dfrac{-5}{6}

Again , recall that product of slopes of two perpendicular lines is -1. So that ,

\longrightarrow m_{\perp} =-\bigg(\dfrac{1}{m}\bigg)

Hence ,

\longrightarrow\underline{\underline{ m_{\perp}= \dfrac{6}{5}}}

And we are done !

6 0
3 years ago
Read 2 more answers
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