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3 years ago

What is the total displacement of a student who walks 3 blocks east, 2 blocks north, 1 block west, and then 2 blocks south?

Mathematics

1 answer:

aniked [119]3 years ago

3 0

Answer:

two blocks east

Step-by-step explanation:

the north and south cancel out and then 3 blocks east - 1 block west = 2 blocks east

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Is it ok if somone answers this for me :)...?<br><br> (−12)(−5)

mina [271]

I think it’s going to be 60

6 0

2 years ago

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The polygons are similar. The area of one polygon is given. Find the area of the other polygon.

kap26 [50]

Answer:

90 cm²

Step-by-step explanation:

Given that both triangles are similar, it follows that the ratio of their area equals the square of their corresponding sides.

Let the area of the other triangle be x. Therefore:

$\frac{10}{x} = \frac{4^2}{12^2}$

$\frac{10}{x} = \frac{16}{144}$

Cross multiply

$10*144 = 16*x$

$1440 = 16x$

Divide both sides by 16

90 = x

Area of the other polygon = 90 cm²

4 0

3 years ago

Teresa, Pablo, and Felipe have a total of $106 in their wallets. Pablo has 4 times what Felipe has. Teresa has $8 less than Feli

Genrish500 [490]

Answer: Felipe= 106

Teresa=98

Pablo=464

Step-by-step explanation:

Since Pablo has 4 times you do $106x4=464 and Teresa has 8 less so $106-8= $98

7 0

3 years ago

Read 2 more answers

Select the simplification that accurately explains the following statement.

lutik1710 [3]

Answer:

Option (b) is correct.

$(2^\frac{1}{4} )^4=2^\frac{1}{4} \times 2^\frac{1}{4}\times 2^\frac{1}{4}\times 2^\frac{1}{4}=2^{(\frac{1}{4}+ \frac{1}{4}+ \frac{1}{4}+ \frac{1}{4} )}=2^{1}=2$

Step-by-step explanation:

Given: $(2^\frac{1}{4} )^4$

We have too choose the correct simplification for the given statement.

Consider $(2^\frac{1}{4} )^4$

Using property of exponents, $(a^m)^n=a^m\times a^m\times a^m\times ....\times (n\ times)$

We have,

$(2^\frac{1}{4} )^4=2^\frac{1}{4} \times 2^\frac{1}{4}\times 2^\frac{1}{4}\times 2^\frac{1}{4}$

Again applying property of exponents $a^m\times a^m=a^{n+m}$

We have,

$(2^\frac{1}{4} )^4=2^{(\frac{1}{4}+ \frac{1}{4}+ \frac{1}{4}+ \frac{1}{4} )}$

Simplify, we have,

$(2^\frac{1}{4} )^4=2^{\frac{4}{4}}$

we get,

$(2^\frac{1}{4} )^4=2^{1}=2$

Thus, $(2^\frac{1}{4} )^4=2$

Option (b) is correct.

8 0

3 years ago

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Which equations represent the line shown in the graph?

zaharov [31]

The given graph is a straight line passing through points (-4, -3) and (1, 5)
Equation in point slope form is y + 3 = (5 - (-3))/(1 - (-4)) (x - (-4))
y + 3 = 8/5(x + 4)
y + 3 = 8/5x + 32/5
y = 8/5x + 32/5 - 3
y = 8/5x + 17/5

Multiplying through by 5 gives
5y = 8x + 17
-8x + 5y = 17
Options B and C are the correct answers.

6 0

3 years ago