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2 years ago

Square PQRS has vertices at P(-2, 4), Q(-2, -1), R(3,-1), and S(3,4). What is the length of side PS?

Mathematics

1 answer:

Strike441 [17]2 years ago

5 0

Answer:

The length of side PS is just the distance from point P to point S.

Point P (-2, 4)

Point S (3, 4)

So the length is the distance from -2 to 3, since the y coordinate is the same for both. The distance from -2 to 3 is 5 units.

So, PS is 5 units long.

Let me know if this helps!

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I need help w/ this!! thank you

Fittoniya [83]

<h3>Answer:</h3>

$\boxed{\pink{\sf \leadsto Yes \ there \ is \ a \ solution \ of \ the \ given \ inequality .}}$

<h3>Step-by-step explanation:</h3>

A inequality is given to us and we need to convert it into standard form and see whether if it has a solution . So let's solve the inequality.

The inequality given to us is :-

$\bf\implies |2y + 3 | - 1 \leq 0 \\\\\bf\implies |2y+3|\leq 1 \\\\\bf\implies (|2y+3|)^2 \leq 1^2 \\\\\bf\implies (2y+3)^2 \leq 1 \\\\\bf\implies (2y)^2+3^2+2(2y)(3) \leq 1 \\\\\bf\implies 4y^2+9+12y - 1 \leq 0 \\\\\bf\implies 4y^2+12y+8 \leq 0 \\\\\bf\implies 4( y^2 + 3y + 2 ) \leq 0 \\\\\bf\implies y^2+3y +2 \leq 0 \:\:\bigg\lgroup \purple{\bf Standard \ form \ of \ inequality }\bigg\rgroup \\\\\bf\implies y^2y+2y+y+2 \leq 0 \\\\\bf\implies y(y+2)+1(y+2)\leq 0 \\\\\bf\implies ( y+2)(y+1)\leq 0 \\\\\bf\implies \boxed{\red{\bf y \leq (-2) , (-1) }}$

Let's plot a graph to see its interval . Graph attached in attachment .

Now we can see that the Interval notation of would be ,

$\boxed{\boxed{\orange \tt \purple{\leadsto}y \in [-2,-1] }}$

<h3>Hence the standard form of inequality is y²+3y +2 ≤ 0 and the Solution set of the inequality is [ -2 , -1 ] .</h3>

4 0

2 years ago

I just this one please someone help

Step2247 [10]

Answer:

100

Step-by-step explanation:

because 4, 3, and 2 all make 180 and 4 and 2 are both 40 so you add that which makes 80 and then you take 180 and subtract 80 which gives you 100

6 0

2 years ago

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Rewrite the equation for x, and express its value in terms of a. 3/a x - 4 = 20

My name is Ann [436]

For this case, we must clear variable "x" from the given equation, expressed in terms of "a".

We have:

3/a x-4=20

By clearing "x" we have:

Adding 4 to both sides of the equation:

3/a x = 20 + 4

Multiplying by a/3 on both sides of the equation:

x=24a/3

x=8a

So, x=8a

Answer:

x=8a

7 0

3 years ago

58 is the difference of Janelle's height and 24.

abruzzese [7]

Answer:

Janelle's height is 82 units.

Step-by-step explanation:

Let j represent Janelle's height.

It is mentioned that, 58 is the difference between Janelle's height and 24.

Mathematically, we can write it as :

j-24 = 58

We can solve it as follows :

Adding 24 both sides,

j-24+24 = 58+24

j = 82

Hence, Janelle's height is 82 units.

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2 years ago

What's 6 divided by 0.25

neonofarm [45]

24 since .25 times 4 = 1 so try 6 times 4 and it equals 24

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3 years ago

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