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3 years ago

Describe how to model 2-digit by 2-digit multiplication using an area model

Mathematics

1 answer:

Zigmanuir [339]3 years ago

3 0

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The point (1,1) is the image under the translation (x,y)-> (x+3,y-3). What is the preimage of this point?

wel

Answer:

(-2,4)

Step-by-step explanation:

$\text{pre-image}->\text{image}$

$(x,y)->(x+3,y-3)$

$(x,y)->(1,1)$

This implies $(x+3,y-3)=(1,1)$ .

This means $x+3=1$ and $y-3=1$ .

Subtract 3 on both sides for first equation: $x=1-3=-2$ .

Add 3 on both sides for the second equation: $y=1+3=4$ .

So the pre-image (x,y) is (-2,4) if the image is (1,1).

Let's check:

$(x,y)->(x+3,y-3)$

$(-2,4)->(-2+3,4-3)$

$(-2,4)->(1,1)$

So the solution has been checked and verified.

6 0

3 years ago

The ratio of cows to chickens on Jack's farm is 3:5. Choose ALL correct statements that describe this relationship.

aivan3 [116]

What are the answer choices

4 0

4 years ago

What is the repulsive force between two pith balls that are 13.0 cm apart and have equal charges of −24.0 nC?

daser333 [38]

Answer:

The repulsive force is $3.067\times10^{-4}N$ .

Step-by-step explanation:

Consider the provided information.

The coulomb's law to calculate the repulsive force: $F=\frac{kQ_1Q_2}{r^2}$

Where the value of k is 9.00×10⁹ Nm²/C²

Substitute the respective values in the above formula.

$F=\frac{9\times10^9\frac{N\cdot m^2}{c^2} \times(-24\times10^{-9}C)^2}{[(13 cm)(\frac{1m}{100cm} )]^2}$

$F=\frac{9\times10^9\frac{N\cdot m^2}{c^2} \times(-24\times10^{-9}C)^2}{(0.13 m)^2}$

$F\approx0.0003067N$

$F=3.067\times10^{-4}N$

Hence, the repulsive force is $3.067\times10^{-4}N$ .

8 0

3 years ago

In the following graph where is the function not increasing?

joja [24]

According to the given graph, the function is not increasing from x = -1 to x = 1.

Remember that not increasing behavior is expressed as a horizontal line.

<h2>Hence, the interval is [-1, 1].</h2> $-1\leq x\leq1$

5 0

1 year ago

Marcel is purchase a boad to build a bookcase he wants to divide the board into 1.75-foot sections he needs 6 sections what size

denis23 [38]

Answer: 10.5 feet

Step-by-step explanation:

From the question, we are informed that Marcel is purchasing a board to build a bookcase he wants to divide the board into 1.75-foot sections and that he needs 6 sections.

The size of the board that Marcel need will be calculated by multiplying 6 by 1.75 foot. This will be:

= 6 × 1.75

= 10.5 feet

3 0

3 years ago