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gavmur [86]
3 years ago
15

Triangle LMN is located at L(2,3), M(1,2), and N(4,4). The triangle is then transformed using the rule (x+5, y+2) to form the im

age L’M’N. What are the new coordinates of L’,M’, and N’?
Mathematics
1 answer:
charle [14.2K]3 years ago
8 0
Using the rule (x+5, y+2) you would add 5 to the x value and 2 to the y value so the answer would be L' (7,5) M' (6,4) N' (9,6)
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60.April would like to invest $200 in the bank for one year. Three banks all have a nominal APR of 1.5%, but compound the intere
mojhsa [17]

Answer:

$203.02

Step-by-step explanation:

Since the bank in question compounds interest continuously, the following equation should be used to determine the final balance (B) in April's account:

B= 200*e^{i*t}

Where "e" is a mathematical constant approximated as 2.7183, "i" is the interest rate (1.5%) and "t" is the investment time in years (1):

B= 200*e^{0.015*1}

B= 203.02

April's balance would be $203.02 after one year.

5 0
3 years ago
Find the equation of the line that passes through the points : (4 , -1 ) and (0 , -3)
Sergio [31]

Answer:

B. y= 1/2 x - 3

Step-by-step explanation:

base equation: y= mx+ b

slope(m) equation: \frac{y_{2}-y_{2}  }{x_{2} -x_{1} }

y2= -1    y1= -3

x2= 4     x1= 0

\frac{-1 - (-3)}{4-0} =\frac{2}{4} = \frac{1}{2}

y- intercept: -3

found by taking the y from (0,-3)

3 0
3 years ago
Find the number of distinct triangles with the measurements a = 8, b = 14, and A = 30°.​
Maslowich

Answer: 2

Step-by-step explanation:

By the law of sines,

\frac{\sin B}{b}=\frac{\sin A}{a} \\ \\ \frac{\sin B}{14}=\frac{\sin 30^{\circ}}{8} \\ \\ \frac{\sin B}{14}=\frac{1}{16} \\ \\ \sin B=\frac{14}{16} \\ \\ B=\sin^{-1} \left(\frac{14}{16} \right), 180^{\circ}-\sin^{-1} \left(\frac{14}{16} \right) \\ \\ B \approx 61.04^{\circ}, 118.96^{\circ}

Since either of these values for B will form a triangle (as A+B will be less than 180 degrees), 2 triangles can be formed with these measurements.

5 0
2 years ago
2. Determine whether each of these sets is finite, countably
lesya692 [45]
A) the integers greater than 10

countable infinite: 1 -> 11; 2 -> 12; 3 -> 13; 4-> 14; 5->15; ...

b) the odd negative integers

countable infinite: 1-> -1; 2-> -3; 3-> -5; 4-> -7; 5-> -9; ...

c) the integers with absolute value less than 1,000,000

finite (-999,999; -999,998; -999,997;...0;...; 999,997;999,998;999,999)

d) the real numbers between 0 and 2

uncountable
e) the set A _ Z+ where A = {2, 3}

finite (it is empty)

f ) the integers that are multiples of 10

countable infinite: 1-> 10; 2-> -10; 3-> 20; 4-> -20; 5-> 30; 6-> -30;...
8 0
3 years ago
When surveyed, the ratio of students who preferred Science class to English class was 5:4. If 90 students were surveyed, how man
liubo4ka [24]

50 students preferred science...

Explanation:

we can consider the numbers 5 and 4 in the ratio as units

now we need to know how much each unit represent

units = 5 + 4 = 9

my sample = 90 students

each unit = 90/9 = 10 students

so each unit represents 10 students

back to the ratio

who preferred science = 5

who preferred English = 4

Number of students choose Science = 5 * 10 = 50

5 0
2 years ago
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