MATHEMATICS MIDDLE SCHOOL

Triangle ABC is translated 2 units right and 5 units down to form triangle A′B′C′. This triangle is then translated 5 units right and 4 units up to form triangle A″B″C″. If vertex A is at (-4, 2), what are the coordinates of vertex A″?

Answers

Answer 1

Answer:

Answer:

The coordinates of vertex A″ are (3,1).

Step-by-step explanation:

It is given that triangle ABC is translated 2 units right and 5 units down to form triangle A′B′C′. It means

$(x,y)\rightarrow (x+2,y-5)$

$A(-4,2)\rightarrow A'(-4+2,2-5)=A'(-2,-3)$

triangle A'B'C' is translated 5 units right and 4 units up to form triangle A″B″C″. it means

$(x,y)\rightarrow (x+5,y+4)$

$A'(-2,-3)\rightarrow A''(-2+5,-3+4)=A''(3,1)$

Therefore the coordinates of vertex A″ are (3,1).

Answer 2

Answer: A = (-4,2)
A' = (-2,-3)
A'' = (3,1)
I hope this helps.

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103 + 21 = _ + 103 please help
(1 pt) Which answer best describes the solution to the equation 3m – 9 = 9 + 3m?
the graph of F(x), shown below, has the same shape as the graph of G(x) = x^2, but it is shifted down 4 units and to the right 3 units. What is its equation?

What's 12p+5pd-3p+6pd

Answers

$12p+5pd-3p+6pd\n\nUse\ commutative\ property:a+b=b+a\nand\ associative\ property:(a+b)+c=a+(b+c)\n\n=(12p-3p)+(5pd+6pd)=\huge\boxed{9p+11pd}$

12p+5pd−3p+6pd

=12p+5dp+−3p+6dp

Combine Like Terms:

=12p+5dp+−3p+6dp

=(5dp+6dp)+(12p+−3p)

=11dp+9p

Mode for
86.4
87.2,95.7,96.4,88.1,94.9,98.5,94.8

Answers

mode is the most frequent number in a data set. there would be NO mode here because none of the numbers here repeat. Are you sure you typed the numbers in the question correct? I understand if you typed something wrong. There are always typos bound to be somewhere! :)

Lúcia is using energy at a rate of 420 kilocalories (kcal) per hour (h) ice skating.At what rate is Lúcia using energy in calories per minute (cal/min)?

Answers

Answer:

7,000 calories or 7 kilo cal/min.

Step-by-step explanation:

Lucia is using energy at a rate of 420 kilo calories per hour ice skating.

1 kilo calories = 1000 calories

420 kilo calories = 420,000 calories

1 hour = 60 minutes

∵ Lucia is using energy per 60 minutes = 420,000 calories

∴ She is using energy per minute = $(420,000)/(60)$

= 7,000 calories or 7 kilo calories

Lucia is using energy 7,000 calories/minute.

420000 calories is 60 mins so 420000/60= 7000/min I think :)

Convert 0.00049 to scientific Notation

Answers

i think its 4.9 x 10-4

Answer:

It is 4.9 x 10-4

Step-by-step explanation:

So every time you do this type of scientific notation you need to count how many "0" there are and you need to check if they are in front of the number ( ex: 74.000 ) or if the are in the back ( ex: 0.0074 ) In this case since is in the back you would get the 10 and put it to the power of -4 since there is 4 zeros behind it. and then you just get the " 4 9 "( put a " . " between it ) and multiply it by $10^(-4)$ . ( You don't need to actually do the multiplication unless your teacher ask you to )

Hope this helps ✌️

Could someone please help me with this: Solution set of lx^2+mx+n=0 is?

Answers

Answer:

Quadratic equations have the solution

x = [-b +-sqr root(b^2 -4ac)] / 2a

In the given equation a = l; b = m and c = n So,

x = [-m +-sqr root(m^2 -4*l*n)] / 2*l

Step-by-step explanation:

What Fraction Is Equivalent to 3/9

Answers

The fraction $(3)/(9)$ can be written as $(1)/(3)$ in the simplest fraction form.

A fraction is a mathematical expression that represents a portion or a division of an entire. It's utilized to portray numbers that aren't whole numbers or integers. A fraction consists of two factors

1. Numerator: The numerator is the number on the top of the fraction. It represents the quantity or portion of the whole being reckoned.

2. Denominator: The denominator is the number at the bottom of the fraction. It represents the complete number of equal parts into which the whole is divided.

The given fraction is $(3)/(9)$ .

$(3)/(9)=((3)/(3) )/((9)/(3) )$

$=(1)/(3)$ .

Hence, $(3)/(9) = (1)/(3)$ .

Learn more about Fractions here:

brainly.com/question/10354322

#SPJ6

$\frac{3}9=(3)/(3*3)=\frac{1}3$

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