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2 years ago

( -20 , 14 ) and ( 30, 18) Slope, Explanation needed please HELPPPPPP

Mathematics

2 answers:

vampirchik [111]2 years ago

8 0

Answer:

the slope is 2/25. use the formula m= y2-y1/x2-x1 and plug in the points

Morgarella [4.7K]2 years ago

6 0

Answer: 2/25

Step-by-step explanation:

The formula to find the slope is (y2-y1)/(x2-x1)

If you plug in the numbers, you get (18-14)/(30-(-20))

Solve the expression and you get 4/50 = 2/25

So your answer is 2/25

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Convert the decimal expansion 0.1777 into a rational number

Helen [10]

Answer:

The rational form of the given number 0.1777 = $\frac{1777}{10,000}$

Step-by-step explanation:

The rational number is expressed as a number on the form of $(\frac{p}{q} ) , q \neq 0$

Now,here the given number in decimal form = 0.1777

To remove the decimal, firstly count the number of digits AFTER DECIMAL.

Here, number of digits after decimal = 4

SO, the decimal can be removed and replaced by 1 , by dividing with 1,0000.

$\implies 0.1777 = \frac{01,777} {10,000} = \frac{1777}{10,000}$

Hence, the rational form of the given number 0.1777 = $\frac{1777}{10,000}$

5 0

3 years ago

Half is a third of it.what is it?

Sati [7]

Let's call 'it' x. 1/2 is equal to one third of x, so we could say that 1/3x = 1/2

Now we just have a simple equation to solve:

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

Dividing by a rational number (such as 1/3, which is expressed in fraction form) is the same as multiplying by its reciprocal (the reciprocal of a fraction is itself when the numerator and denominator have been swapped). Therefore

x = (1/2) / (1/3) = (1/2) * 3 = 3/2 = 1.5

To check this answer, test the statement. Half is a third of x, where x=1.5:

1.5 / 3 = 0.5 = 1/2

3 0

3 years ago

Jonesville and smithville each have a population of size 2600 at time t = 0, where t is measured in years. Suppose jonesville'

ehidna [41]

Answer: B. Jonesville is growing linearly and Smithville is growing exponentially.

Step-by-step explanation:

Linear growth :

Population grow by a constant amount after each time period.
The rate of change of dependent variable with respect to independent variable is a constant.
It is represented by line on graph.
Equation for linear growth : $y=mx+c$ , c = initial value and m is the rate of change of y with respect to x.

Exponential growth :

Population grow by a constant ratio .
It is represented by a curve on graph.
Equation for exponential growth : $y=a(1+r)^x$ , a = initial value and r is rate of growth ( in decimal ) and x is time period.

Given : Jonesville's population grows by 170 people per year.

i.e .Population grow by a constant amount per year.

⇒ Jonesville is growing linearly.

The population of smithville grows by 7% per year.

i.e. Population grow by a constant ratio.

⇒Smithville is growing exponentially.

Hence, the true statement is "B. Jonesville is growing linearly and Smithville is growing exponentially."

5 0

3 years ago

Given: <br><br>EM, EQ-secants<br><br>Prove: MP·EW=WQ·EP

Dennis_Churaev [7]

Answer:

Step-by-step explanation:

A secant is a straight line from a point outside a given circle that passes through two points on its circumference.

From the given diagram, EM and EQ are secants.

Thus,

<PEW ≅ <WEP (common angles)

<EMP ≅ <EQW (secant-chord theorem)

<WMP ≅ <PQM (inscribed angles of arc WP)

Therefore,

$\frac{EW}{WM}$ = $\frac{EP}{PQ}$ (corresponding sides of a triangle)

This implies that,

EW*PQ = EP*WM

Therefore,

MP*EW = WQ*EP (properties of a similar triangle)

7 0

2 years ago

1. Which expression shows the distance on the number line between −14 and −5 ?

kiruha [24]

You can use this to help you.https://www.symbolab.com/

5 0

3 years ago