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3 years ago

Find the midpoint of the line that contains the endpoints (5,2) and (-4,-3)

Mathematics

2 answers:

xz_007 [3.2K]3 years ago

4 0

Answer:4,2

Step-by-step explanation: is u divide both side with 2 that will be your answer

romanna [79]3 years ago

3 0

Answer:

Your answer is: Midpoint = (0.5, -0.5)

Step-by-step explanation:

(xa+xb/2 , ya+yb/2)

Plug the points ---> (5,2)(-4,-3)

= (1/2 , -1/2)

In decimal form it would be: (0.5,-0.5)

Hope this helped : )

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guys is this answer is 44.8 or is it 21. It’s square roots and cube roots can someone please help mees

Talja [164]

Answer: 21

Step-by-step explanation:

8 0

2 years ago

Five children have heights of 138cm, 135cm, 140cm, 139cm, and 141cm.

Bess [88]

Answer:

6 cm

Step-by-step explanation:

To find the range take the largest number and subtract the smallest number

The largest number is 141 and the smallest number is 135

141 - 135 = 6 cm

8 0

3 years ago

zubka84 [21]

Answer:

See Explanation Below

Step-by-step explanation:

Given

$(sin x - cos x)^2 = sec^2x - tan^2x - 2sinx.cos x.$

Required

Prove

To start with; we open the bracket on the left hand side

$(sin x - cos x)^2 = (sin x - cos x)(sin x - cos x)$

$(sin x - cos x)^2 = (sin x )(sin x - cos x)- (cos x)(sin x - cos x)$

$(sin x - cos x)^2 = sin^2 x -sinx cos x - sin xcos x + cos^2 x$

$(sin x - cos x)^2 = sin^2 x -2sinx cos x + cos^2 x$

Reorder

$(sin x - cos x)^2 = sin^2 x + cos^2 x - 2sinx cos x$

From trigonometry;

$sin^2x + cos^2x = 1$

So;

$(sin x - cos x)^2 = sin^2 x + cos^2 x - 2sinx cos x$

becomes

$(sin x - cos x)^2 = 1 - 2sinx cos x$

Also from trigonometry;

$sec^2x - tan^2x = 1$

So,

$(sin x - cos x)^2 = 1 - 2sinx cos x$

becomes

$(sin x - cos x)^2 = sec^2x - tan^2x - 2sinx cos x$

Proved

3 0

3 years ago

You are traveling in a car. Your speed is 40 miles per hour. What is your speed in feet per minute?

Korvikt [17]

Answer:

3520.176 feet per minute

Step-by-step explanation:

First, we must convert 40 miles per hour (mph) to miles per minute (mpm):

40 mph = 40 miles/hour / 60 minutes/hour = 0.6667 miles per minute

Next, we convert miles per minute to feet per minute by multiplying 5280 ft per mile:

0.6667 mpm = 0.6667 miles/minute * 5280 ft/mile = 3520.176 feet per minute

8 0

2 years ago

An electrical rm manufactures light bulbs that have a life span that is approximately normally distributed. The population stand

stira [4]

Answer:

The 't' test statistic = 1.46 < 1.69

The test of hypothesis is H 0 :μ = 800 is accepted

A sample of 30 bulbs are found came from average µ= 800

Step-by-step explanation:

Step 1:-

Given population of mean μ = 800

given size of small sample n =30

sample standard deviation 'S' = 45

Mean value of the sample χ = 788

Null hypothesis $H_{0} =$ µ =800

alternative hypothesis $H_{1} =$ µ ≠ 800

Step 2:-

The 't' test statistic t = $\frac{x-μ}{\frac{sig}{\sqrt{n} } }$

$t = \frac{788-800}{\frac{45}{\sqrt{30} } }$

t = $\frac{12}{8.215}$ = 1.4607

Step 3:-

The degrees of freedom γ = n-1 = 30-1 =29

From "t" value from table at 0.05 level of significance ( t = 1.69)

The calculated value t = 1.4607 < 1.69

Therefore The null hypothesis H_{0} ' is accepted.

conclusion:-

A sample of 30 bulbs are came found from average µ= 800

7 0

3 years ago