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3 years ago

Find the distance between the points ( - 9, - 12) and (18, - 12)

Mathematics

1 answer:

ANTONII [103]3 years ago

4 0

Hello from MrBillDoesMath!

Answer:

Discussion:

By the distance formula (or Pythagorean theorem)

distance = sqrt ( (change in x)^2 + (change in y)^2)

In our case this becomes

distance = sqrt ( (18 - (-9) )^2 + (-12 - ( -12))^2)

= sqrt ( ( 18 + 9) ^2 + ( -12 + 12) ^ 2)

= sqrt ( ( 18 + 9) ^2 + 0^2 )

= sqrt ( 27^2)

= 27

Geometrically, as both y coordinates = -12, the points define a horizontal line segment. The length is then simply the difference of the x coordinates, 18 - (-9) = 18 +9 = 27. Same answer as before

Thank you,

MrB

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2 years ago

Un rombo tiene un ángulo de 22 grados. Cuanto vale la suma de sus ángulos que no midan 22 grados?

Igoryamba

Answer:

The sum of the angles that do not measure 22 degrees is equal to 316°

Step-by-step explanation:

The question in English is

A rhombus has a 22-degree angle. How much is the sum of its angles that do not measure 22 degrees worth?

we know that

The opposite internal angles of a rhombus are equal and the adjacent internal angles are supplementary

Let

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x+22°=180°

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therefore

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5 0

3 years ago

Devon invests $9,000 in a savings account that pays 1.5% simple interest. How much will be in the account after 6 years if Devon

MAVERICK [17]

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3 years ago

Question 1

Tanzania [10]

Answer:

Mortality rate is 0.5 per 1000 habitant

the number of deaths have increased (from 210 to 250)

Step-by-step explanation:

Hello

Mortality rate is the number of deaths in a specific population,usually expressed in units of deaths per 1,000 individuals per year

$Mortality\ rate\ (S)= \frac{(D)}{(P)} *10^{n} \\\\\\\\$

where

S=Mortality rate

D=deaths

P= population

n= is a conversion form ,such as multiplying by 10^{3}=1000, to get mortality rate per 1,000 individuals( we will use n=3)

step 1

asign

S=unknown

D=250

P=500000

n=3, (for each 1000 people)

step 2

Replace

$S=\frac{250}{500000}*1000\\S=\ 0.5\ per\ 1000$

Mortality rate is 0.5 per 1000 habitant

step 3

what if S=0.42

S=0.42(assuming it is 0.42 per 1000,n=3)

D=unknown

P=500000

$(S)= \frac{(D)}{(P)} *10^{n}\\\\isolatin D\\\\S*P=D*10^{n}\\ D=\frac{S*P}{10^{n} } \\\\and\ replacing\\\\D=\frac{(0.42)*(500000)}{10^{3} }\\\\ Deaths=210\\$

the number of deaths have increased (from 210 to 250)

Have a great day

5 0

3 years ago