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Art [367]
3 years ago
7

A transformation translates the point S (-1,1) down 2 units and right 3 units. What rule describes this translation. A. (x,y)=(x

-2,y+3) B. (x,y)=(×+2,y-3) C= (×-3,y+2) D= (×+3,y-2)
Mathematics
1 answer:
Fittoniya [83]3 years ago
3 0
Down = -y
right= +x

Hence rule D. is correct
You might be interested in
A coffee shop sells lattes for $4 and cappuccinos for $3. Last Friday, they sold 78 drinks for a total of $252.
Bad White [126]
Answer: 60 cappuccinos were sold.

Explanation:
x = number of lattes sold
y = number of cappuccinos sold

Two equations can be set up:
x + y = 78
4x + 3y = 252

The first equation can be rearranged and substituted into the other equation to find the value of a variable.

y = 78 - x
4x + 3(78 - x) = 252
4x + 234 - 3x = 252
x + 234 = 252
x = 18

To find y, the value of x can be substituted into either equation.

x + y = 78
18 + y = 78
y = 60

To check answers, substitute both values into the original equations and make sure they work.

x + y = 78
18 + 60 = 78
78 = 78

4x + 3y = 252
4(18) + 3(60) = 252
72 + 180 = 252
252 = 252
5 0
3 years ago
A political candidate has asked his/her assistant to conduct a poll to determine the percentage of people in the community that
Delvig [45]

Answer: The size of sample of 193 is needed.

Step-by-step explanation:

Since we have given that

Margin of error = 6%

At 90% confidence level, z = 1.645

Let p = 0.5

and q = 0.5

( because it is the most conservative estimation).

So, using formula, we get :

e=z\times \sqrt{\dfrac{p(1-p)}{n}}\\\\0.06= 1.645\times \sqrt{\dfrac{0.5\times 0.5}{n}}\\\\\dfrac{0.06}{1.645}=\sqrt{\dfrac{0.25}{n}}\\\\(0.036)^2=\dfrac{0.25}{n}\\\\n=\dfrac{0.25}{0.036^2}\\\\n=192.9\\\\n=193

Hence, the size of sample of 193 is needed.

8 0
3 years ago
Two planes are orthogonal if their normal vectors are orthogonal. Find the equation of a plane that is orthogonal to the plane 3
erica [24]

Answer:

X-5Y-4Z+12=0

Step-by-step explanation:

Plan P1 = 3x-y+2z=1. with A=(1,1,2); B=(2,2,1); we must will find V1 from P1,

V1 =(3,-1,2) and AB = (2-1,2-1,1-2) = (1,1,-1) now we find V2 by vector product.

V2 =V1.X,AB =\left[\begin{array}{ccc}i&j&k\\3&-1&2\\1&1&-1\end{array}\right] = i+2j+3k-(2i-3j-k)=V2=(-i+5j+4k); (aplying sarrus method)

according to general plan formula a(X-Xo)+b(Y-Yo)+c(Z-Zo); V=(a,b,c)

V2=(-1,5,4) ; A=(1,1,2);  so -(X-1)+5(Y-1)+4(z-2)=0  → -X+1+5Y-5+4Z-8=0  →

-X+5Y+4Z+1-5-8=0 → -X+5Y+4Z-12=0 (-1) → Plan equation X-5Y-4Z+12=0

4 0
4 years ago
What is the answer 333​
harkovskaia [24]

Answer:

Option A wilk be the correct answer.

6 0
3 years ago
Read 2 more answers
How do you simplify fractional exponents? 45m^2/47m^5
harina [27]

Answer:

\frac{45}{47m^3}

Step-by-step explanation:

Given the following question:

\frac{45m^2}{47m^5}

In order to simplify fractions with exponents we simply subtract the exponents.

\frac{45m^2}{47m^5}
5-2=3
\frac{45}{47m^3}

Hope this helps.

4 0
2 years ago
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