All categories

3 years ago

Find the distance between the two points S (-5,-2) and T (-3,4).

Mathematics

1 answer:

icang [17]3 years ago

6 0

Answer:

$d =2 \sqrt{10}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra II

Distance Formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step-by-step explanation:

Step 1: Define

S (-5, -2)

T (-3, 4)

Step 2: Find distance d

Substitute: $d = \sqrt{(-3+5)^2+(4+2)^2}$
Add: $d = \sqrt{(2)^2+(6)^2}$
Evaluate: $d = \sqrt{4+36}$
Add: $d = \sqrt{40}$
Simplify: $d =2 \sqrt{10}$

You might be interested in

90 juniors took different SAT-II tests. 40% more students took the Chemistry test than took the History test, and 50% more stude

erastovalidia [21]

Answer:

Step-by-step explanation:

4.5x=90

x=20 history

28 chemistry

42 math

They add to 90.

History test=x

Chemistry test=1.4x

Math test=(1.5)(1.4)=2.1x

They add to 90

4 0

2 years ago

Plz help.......................

True [87]

Let's use the slope intercept form of a line which is:

y=mx+b where m=slope and b=y-intercept.

Mathematically m=(y2-y1)/(x2-x1) and the y-intercept is just the value of y when x is equal to zero, where the line intercepts the y axis...

First you want to find the slope by finding two clearly identifiable points on the graph...I'll pick (4,4) and (0,1), now we can calculate the slope or "m"...

m=(4-1)/(4-0)=3/4 so now we can say our line is:

y=0.75x+b, using point (4,4) we can now solve for b.

4=0.75(4)+b

4=3+b

b=1 so the line is"

y=0.75x+1

4 0

3 years ago

En una hoja de papel cuyo perímetro es de 96 centímetros, se quiere imprimir un volante de manera que el área impresa sea un rec

elixir [45]

Answer:

El perímetro de la región impresa es 72 cm y su área es 288 cm².

Step-by-step explanation:

1. Tenemos el perímetro de la hoja de papel:

P₁ = 96 cm = 2l₁ + 2a₁ (1)

Como sabemos el margen superior, inferior, izquierdo y derecho podemos encontrar la relación entre el largo y ancho del rectángulo interno (región impresa) con el largo (l) y ancho (a) del rectángulo externo (hoja de papel):

$l_{2} = l_{1} - (m_{s} + m_{i}) = l_{1} - (3 cm + 2 cm) = l_{1} - 5 cm$ (2)

$a_{2} = a_{1} - (m_{d} + m_{iz}) = a_{1} - (2 cm + 5 cm) = a_{1} - 7 cm$ (3)

El perímetro del rectángulo interno es:

$P_{2} = 2l_{2} + 2a_{2}$ (4)

Introduciendo la ecuación (2) y (3) en (4):

$P_{2} = 2l_{2} + 2a_{2} = 2(l_{1} - 5 cm) + 2(a_{1} - 7 cm) = 2l_{1} + 2a_{1} - 10 cm - 14 cm = 96 cm - 24 cm = 72 cm$

Por lo tanto el perímetro del rectángulo interno (región impresa) es 72 cm.

2. Ahora para encontrar el área rectángulo interno debemos encontrar el largo y ancho del mismo, sabiendo que:

$l_{2} = 2a_{2}$ (5)

Introduciendo (5) en (4):

$P_{2} = 2l_{2} + 2a_{2} = 2*2a_{2} + 2a_{2} = 6a_{2}$

$a_{2} = \frac{P_{2}}{6} = \frac{72 cm}{6} = 12 cm$

$l_{2} = 2a_{2} = 2*12 cm = 24 cm$

Entonces el área es:

$A_{2} = l_{2}*a_{2} = 12 cm*24 cm = 288 cm^{2}$

Por lo tanto el área del rectágulo interno (región impresa) es 288 cm².

Espero que te sea de utilidad!

7 0

2 years ago

What is the value of the fourth power of ten

krok68 [10]

I think it 4194304 i THINK thats the answer

7 0

3 years ago

Read 2 more answers

A company gives raises once a year. Amir's present salary is $12,000. His manager would like to raise Amir's salary to $84,000.

krek1111 [17]

Since $12,000 would be her whole current salary, I would just divide $84,000 by $12,000 because i know 12 can go into 84 evenly.

84,000 ÷ 12,000 = 7

Since it goes in to 84,000 evenly by 7 times, the raise would be 700%.

6 0

3 years ago