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2 years ago

A rectangle on a coordinate plane is translated 5 units up and 3 units to the left. Which rule describes the translation?

Mathematics

1 answer:

Vlad1618 [11]2 years ago

7 0

Answer:

$(x,y)\rightarrow(x-3,y+5)$

Step-by-step explanation:

"5 units up" would be "5 added to the current y-value".

"3 units to the left" would be "3 subtracted from the current x-value".

So, the translation rule is:

$(x,y)\rightarrow(x-3,y+5)$

Therefore, Option C should be the correct answer.

Brainilest Appreciated.

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Triangle NLM is reflected over the line segment as shown, forming triangle ABC. Which congruency statement is correct? ΔNLM ≅ ΔC

algol13

Given that triangle NLM is reflected over the line segment as shown, forming triangle ABC.

When a point is refrected across a line, the relative distance form the point to the line of refrection is preserved. That is the distance from the point to the line of refrection is equal to the distance of the image to the line of refrection.

Thus, from the figure, it can be seen the point B is of the same distance to the line of refrection as point M, so is point A to point L and point C to point N.

Thus, ΔNLM is similar to ΔCAB

Therefore, the congruency statement that is correct is ΔNLM ≅ ΔCAB

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2 years ago

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In the month of June, the temperature in Johannesburg, South Africa, varies over the day in a periodic way that can be modeled a

UNO [17]

Answer:

T = - 7.5 Cos π/12( t - 4 ) + 10.5

Step-by-step explanation:

Given that the

Maximum temp. = 18 degree Celsius

Minimum temp. = 3 degree Celsius

The half way between 10 am and 10 pm is 4 am

The sine and cosine functions can be used to model fluctuations in temperature data through out the year. An equation that can be used to model these data is of the form:

T = A cos B(t - C) + D, where A,B,C,D, are constants, T is the temperature in °C and t is the hour (1–24)

A = amplitude = (Tmax - Tmin)/2

A = (3 - 18)/2 = - 15/2 = -7.5 ( note : after midnight)

B = 2π/24 = π/12

C = units translated to the right

C = 4

D = ymin + amplitude = units translated up

D = 7.5 + 3 = 10.5

The formula of the trigonometric function that models the temperature T in Johannesburg t hours after midnight we be

T = - 7.5 Cos π/12( t - 4 ) + 10.5

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2 years ago

Your company has just taken out a 1-year installment loan for $72,500 at a nominal rate of 20.0% but with equal end-of-month pay

Mariulka [41]

Answer:

100% of the 2nd monthly payment go toward the repayment of principal.

Step-by-step explanation:

The loan taken is the Principal which is mentioned as $72,500 with interest at a nominal rate of 20%. Firstly, it is important to understand that nominal rate means non-compounding rate. Simply put will be a "one-time charged" rate on the loan. Since this is given as 20% of the Principal. It is calculated thus: $\frac{20}{100}$ × $\frac{72,500}{1}$ = $14,500. So the interest on the loan is $14,500. Added to the Principal the total amount to be paid back by the company becomes: $72,500 + $14,500 = $87,000. To pay back this amount at equal end-of-month installments in 1 year (12 months), we divide the total amount by 12. i.e $\frac{87000}{12}$ = $7250. This means, the monthly payment will be $7,250. Since the monthly payment pays only 10% of the initial principal $72,500. By the second month only 20% of the Principal would have been paid. So all of the monthly payment will go towards repaying the principal

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2 years ago

A coordinate grid with a line labeled negative 3 x plus StartFraction one-half EndFraction y equals negative 3 and passes throug

tensa zangetsu [6.8K]

Answer: C

Step-by-step explanation:

Given that the line -3x + y/2 = -3 passes through the points (1, 0) and (0, -6).

First rearrange the equation

-3x + y/2 = -3

Y = 2( 3x - 3 )

Y = 6x - 6 ..... (1)

Also, the slope of points (1, 0) and (0, -6). Will be

M = ( -6 - 0 )/( 0 - 1 )

M = -6/-1

M = 6

Using general linear equation

Y = MX + C

Let Y = 0 and X = 1

0 = 6(1) + C

C = -6

Substitutes C back into the equation

Y = 6x - 6 ...... (2)

The value of b that will cause the system to have infinitely many number of solutions is 6

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2 years ago

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Sharon is assessing the popularity of two fashion magazines for her blog. The number of subscribers to magazine A and the number

Marta_Voda [28]

1) The number of subscribers to magazine A in 2000 is 5,000 more than the number of subscribers to magazine B in 2000.

2) Which of the following describes the number of subscribers represented by the tables?
The number of subscribers to both magazines are decreasing.

3) As the number of years since 2000 increases, the number of subscribers both magazines approach zero.

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2 years ago

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