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SVETLANKA909090 [29]

3 years ago

10

What is the equation of this line in standard form

1 answer:

Yuri [45]3 years ago

3 0

Line joining (-3, -1) and (1/2, 2)

Point point form for a line is

(c-a)(y-b) = (d-b)(x-a)

(1/2 - - 3)(y - -1) = (2 - -1)(x - -3)

(7/2)(y+1)=3(x+3)

7(y+1)=6(x+3)

7 - 6(3) = 6x - 7y

6x - 7y = -11

Answer: second choice, 6x - 7y = -11

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In how many ways can 5 different books be arranged on a shelf? 5 24 120

vlabodo [156]

120 ways. More details in attachment.

7 0

3 years ago

How many times greater is the area of circle C than the area of circle A.

kicyunya [14]

Answer:

I need a picture

Step-by-step explanation:

sorry but without a picture i don't know wht to do

5 0

3 years ago

Henry can type 3500 words in 70 minutes. Colin can type 1500 in 30 minutes. Brian can type 2200 words in 40 minutes. Who types a

Snezhnost [94]

Given:

Henry can type 3500 words in 70 minutes.

Colin can type 1500 in 30 minutes.

Brian can type 2200 words in 40 minutes.

To find:

The person who types at the fastest rate of words per minute.

Solution:

We know that,

$\text{Rate of words per minute}=\dfrac{\text{Number of words}}{\text{Number of minutes}}$

Using this formula, we get

$\text{Henry's rate of words per minute}=\dfrac{3500}{70}=50$

$\text{Colin's rate of words per minute}=\dfrac{1500}{30}=50$

$\text{Brian's rate of words per minute}=\dfrac{2200}{40}=55$

Since 55>50, therefore Brian's types at the fastest rate of words per minute.

6 0

3 years ago

A point H is 20m away from the foot of a tower on the same horizontal ground. From the point H, the angle of elevation of the po

astra-53 [7]

Answer:

a. See Attachment 1

b. $PT = 12.3\ m$

c. $HT = 31.1\ m$

d. $OH = 28.4\ m$

Step-by-step explanation:

Calculating PT

To calculate PT, we need to get distance OT and OP

Calculating OT;

We have to consider angle 50, distance OH and distance OT

The relationship between these parameters is;

$tan50 = \frac{OT}{20}$

Multiply both sides by 20

$20 * tan50 = \frac{OT}{20} * 20$

$20 * tan50 = OT$

$20 * 1.1918 = OT$

$23.836 = OT$

$OT = 23.836$

Calculating OP;

We have to consider angle 30, distance OH and distance OP

The relationship between these parameters is;

$tan30 = \frac{OP}{20}$

Multiply both sides by 20

$20 * tan30 = \frac{OP}{20} * 20$

$20 * tan30 = OP$

$20 * 0.5774= OP$

$11.548 = OP$

$OP = 11.548$

$PT = OT - OP$

$PT = 23.836 - 11.548$

$PT = 12.288$

$PT = 12.3\ m$ (Approximated)

--------------------------------------------------------

Calculating the distance between H and the top of the tower

This is represented by HT

HT can be calculated using Pythagoras theorem

$HT^2 = OT^2 + OH^2$

Substitute 20 for OH and $OT = 23.836$

$HT^2 = 20^2 + 23.836^2$

$HT^2 = 400 + 568.154896$

$HT^2 = 968.154896$

Take Square Root of both sides

$HT = \sqrt{968.154896}$

$HT = 31.1\ m$ <em>(Approximated)</em>

--------------------------------------------------------

Calculating the position of H

This is represented by OH

See Attachment 2

We have to consider angle 50, distance OH and distance OT

The relationship between these parameters is;

$tan50 = \frac{OH}{OT}$

Multiply both sides by OT

$OT * tan50 = \frac{OH}{OT} * OT$

$OT * tan50 = {OH$

$OT * 1.1918 = OH$

Substitute $OT = 23.836$

$23.836 * 1.1918 = OH$

$28.4= OH$

$OH = 28.4\ m$ <em> (Approximated)</em>

5 0

3 years ago

5.4 divided by 205.2

evablogger [386]

Answer:

The answer is 0.02

Step-by-step explanation:

7 0

3 years ago