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Bond [772]
3 years ago
13

A line contains the points (4,2) and (0, -1).What is the equation of the line?

Mathematics
2 answers:
Kobotan [32]3 years ago
5 0

Answer: y = - 3x/4 + 5

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis represent

change in the value of y = y2 - y1

Change in value of x = x2 -x1

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

The line passes through (4,2) and (0, - 1),

y2 = - 1

y1 = 2

x2 = 0

x1 = 4

Slope,m = (2 - - 1)/(0 - 4) = - 3/4

To determine the y intercept, we would substitute x = 4, y = 2 and m= - 3/4 into

y = mx + c. It becomes

2 = - 3/4 × 4 + c

2 = - 3 + c

c = 2 + 3 = 5

The equation becomes

y = - 3x/4 + 5

Lady bird [3.3K]3 years ago
3 0

Find the slope:

y₂ - y₁ / x₂ - x₁

-1 - 2 / 0 - 4

-3 / -4

3/4

y = mx + b

y = 3/4x + b

Substitute any of the point's coordinate in the equation.

I'll pick (0,-1)

y = 3/4x + b

-1 = 3/4(0) + b

-1 = 0 + b

-1 = b

y-intercept = -1

y-intercept Equation:

y = 3/4x - 1

Point-slope form:

y - 2 = 3/4(x - 4)

Standard form:

-3/4x + y = -1

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55+10.00x ≥ 150 x ≥ 9.5 hours I hope that helps
7 0
2 years ago
Use explicit formula to find the 10th of each geometric sequence
Sindrei [870]

Answer:

1. 1*9^(10-1) = 387,420,489

2.2*4^(10-1) = 524,288

Step-by-step explanation:

The explicit formula for a geometric sequence is a1 * r^n-1

Where a1 is your first term, r is your ratio, and n is the amount of terms you want in the sequence

To solve for the 10th number in the sequence, we simply plug 10 in for n.

Hope this helps

3 0
2 years ago
en una fiesta hay 16 personas de las cuales el 25% son mujeres, luego llegan mas mujeres a la fiesta, de tal manera que ahora lo
coldgirl [10]

Answer:

<u>English (Ingles):</u>
10 Women come to the party.

<u>Spanish (Espanol):</u>

10 Las mujeres vienen a la fiesta.

Step-by-step explanation:

<u>English (Ingles):</u>

We know that there are 16 people there at the start. 25% of those people are women. We can work out by subtracting 100 by 25 that 75% of the p-eople there are men. We need to do 25% of 16 so we can work out how many men and women there are there.

So we find 10% of 16 which is 1.6 then we take off 5% of 1.6 which is 0.08. We then double 1.6 to get 20% which gives us 3.2. We now add on the 5% to make it 25% which gives us 4.

This means 25% of 16 is 4.

This tells us that there are 4 women at the party and 12 men as 16 - 4 = 12.

It now says that more women arrive which makes the percentage for men go down to 60%. We now need to add 5% on to the 25% of women there are which will tell us how many more women there are now and it will let us work out how many women and men there are in total now.

As we can't do this without it giving us 4.8, we know that 25% of people is 4 women which means 50% of people would be 8 women and we make an estimate of how many women have joined which gives us 6 people which means the total amount of women at the party is 10.

<u>Spanish (Espanol):</u>

<u />

Sabemos que hay 16 personas allí al principio. El 25% de esas personas son mujeres. Podemos calcular restando 100 por 25 que el 75% de las personas son hombres. Necesitamos hacer el 25% de 16 para poder calcular cuántos hombres y mujeres hay allí.

Así que encontramos el 10 % de 16, que es 1,6, luego quitamos el 5 % de 1,6, que es 0,08. Luego duplicamos 1,6 para obtener el 20%, lo que nos da 3,2. Ahora sumamos el 5% para convertirlo en 25%, lo que nos da 4.

Esto significa que el 25% de 16 es 4.

Esto nos dice que hay 4 mujeres en la fiesta y 12 hombres como 16 - 4 = 12.

Ahora dice que llegan más mujeres lo que hace que el porcentaje de hombres baje al 60%. Ahora necesitamos agregar un 5% al ​​25% de mujeres que hay, lo que nos dirá cuántas mujeres más hay ahora y nos permitirá calcular cuántas mujeres y hombres hay en total ahora.

Como no podemos hacer esto sin que nos dé 4.8, sabemos que el 25% de las personas son 4 mujeres, lo que significa que el 50% de las personas serían 8 mujeres y hacemos una estimación de cuántas mujeres se han unido, lo que nos da 6 personas que significa que la cantidad total de mujeres en la fiesta es 10.

4 0
1 year ago
In context, the phrase "This from her" (lines 47-48)
JulsSmile [24]

According to the In context, the phrase "This from her" (lines 47-48) helps to suggest that a <u>certain decision is out of character</u>

The correct option is C.

<h3>Explanation:</h3>

In the lines 47-48 the phrase "This from her" described that is complaining that everything she did was in vain, and that she later thought she would spend the rest of her days in New York, which led her to the choice she didn't want to make.

<h3>How do comprehension passages work?</h3>

Reading comprehension questions have a high chance of being scored. A passage is presented to us, along with some questions. Even if the information in the passage deviates from actual facts, the questions must be answered using it.

<h3>Describe a comprehension example.</h3>

The definition of comprehension refers to your capacity for understanding something or to the degree to which you actually comprehend something. Your level of understanding of a challenging math problem is an illustration of comprehension.

To know more about comprehension visit:

brainly.com/question/14814430

#SPJ4

5 0
1 year ago
Jorge wants to plant 70 total flowers in his new garden.He wants the ratio of tulips to daisies in his garden to be 2 to 5. He d
weeeeeb [17]
Add the ratio together:  2 + 5 = 7
Divide this by the total number of plants;
70/7 = 10

Now times the ration by this number:
2:5 becomes 20:50 (times by 10)
This tells us we have 20 tulips as 50 daisies

5 0
3 years ago
Read 2 more answers
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