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snow_lady [41]
3 years ago
15

What is the slope of the line passing through the points  (−3, 4) and (2, −1) ?

Mathematics
2 answers:
RoseWind [281]3 years ago
7 0

Answer:

Step-by-step explanation:

hello

let´s see, we have two points of a line

p1(-3,4)  and  p2(2,-1)

the slope of this line would be

m=\frac{y2-y1}{x2-x1} =\frac{-1-4}{2-(-3)}\\\\m=\frac{-5}{5} \\m=-1\\

the negative symbol in the slope tells us that as the line goes down, as the values ​​of x increase, the values ​​of y decrease.

have a good day

raketka [301]3 years ago
6 0
Slope = (-1-4)/(2+3) = -5/5 = -1

hope it helps
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Mathew deposits 400800.00 kina with the bank which offers 5½% interest per annum. calculate the interest earned after four years
Sati [7]

Solution

For this case we can use the following formula:

A=P(1+\frac{r}{n})^{nt}

Where:

P= 400800 = present value

A= future value

r= 0.055 interest rate

n= 4, number of times that the interest is compund in a year (quarterly)

t= 4 years

Replacing we got:

A=400800(1+\frac{0.055}{4})^{4\cdot4}=498679.58

then the interest would be:

I=A-P=498679.58-400800=97879.58

4 0
1 year ago
What is the perimeter of the triangle shown on the coordinate plane, to the nearest tenth of a unit?
Karo-lina-s [1.5K]

Let us find the co ordinates of each vertex of the triangle .

Vertex A ( in firs second quadrant) = ( -5 ,3)

vertex B in third quadrant = ( -5, -5)

vertex C in fourth quadrant = ( 4, -2)

let us use distance formula AB^2 = ( -5 - 3)^2 + (-5 - -5 )^2 = 64 + 0

AB= 8

BC^2 = ( -2 - -5 )^2 + ( 4 - - 5)^2 = 9 + 81 = 90

BC = 9.48

AC^2 = ( -2 -3)^2 +( 4- -5)^2 = 25 + 81 = 106

AC= 10.29

Perimeter = sum of length of AB+ BC+ Ac = 8 + 10.29 + 9.48= 22.77

8 0
3 years ago
How many solutions does the equation 3x + 15 = 2x + 10 + x + 5 have?
Alex17521 [72]

Answer:

18=18

Step-by-step explanation:

it dosent give x so just put them all together without x and its equal so(=)

4 0
3 years ago
What is the slope of the line that passes through (1,3) (5,15)
stiks02 [169]

Answer:

3

Step-by-step explanation:

Slope:

15 - 3 / 5 - 1 = 12 / 4 = 3

8 0
2 years ago
Don Juan tiene, en su caja de ahorros, $3.588,90. Retira el lunes la tercera parte; el martes, $1.000 de lo que le quedaba y el
MAVERICK [17]

Answer:

El total que queda en su cuenta es de $835,56

Step-by-step explanation:

Caja de ahorros: $3.588,90

Lunes

Retira una tercera parte (3588,90 / 3) = $1196,30

Quedan= <em>$2392,60</em>

Martes

Quedaban $2392,60 y se lleva $1000

2392,60 - 1000 = 1392,60

Le quedan= <em>$1392,60</em>

Miércoles

Quedaban $1392,60 y retira 2/5

1392,6 / 5= 278,52 es la quinta parte

-> 2/5 partes son: 278,52 + 278,52 = 557,04

Retira $557,04

1392,60 - 557,04= 835,56

El total que queda en su cuenta es de $835,56

7 0
2 years ago
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