Write the equation of the line that passes through the points (-9,-5) and (-7,2).

Mathematics

1 answer:

MrMuchimi3 years ago

6 0

Answer:

$3x + 2y + 17$

Step-by-step explanation:

$\frac{y - y1}{y 2 - y1} = \frac{x - x1}{x2 - x1}$

You might be interested in

A rancher constructs two rectangular horse pastures that share a side, as shown. The pastures are enclosed by 1050 feet of fenci

noname [10]

The complete question in the attached figure

we know that
area each pasture=15000 ft²
area each pasture=x*y
so
15000=x*y-----> equation 1

perimeter two rectangular pastures=1050 ft
perimeter two rectangular pastures=2*[2x+y]+y----> 4x+2y+y---> 4x+3y
so
1050=4x+3y----> divide by 3----> 1050/3=(4/3)x+y
clear variable y
y=350-(4/3)x-----> equation 2

the answer part a)
y=350-(4/3)x------> <span>it was proved
</span>
Part b)Find the possible lengths and widths of each pasture.
substitute equation 2 in equation 1
15000=x*y-----> 15000=x*[350-(4/3)x]
15000=350x-(4/3)x²----> multiply by 3----> 45000=1050x-4x²
4x²-1050x+45000=0

using a graph tool----> to resolve the second order equation
see the attached figure

the solution is
x=53.942 ft
x=208.558 ft

15000=x*y-----> y=15000/x

for x=53.94 ft
y=278.09 ft

for x=208.56 ft
y=71.92 ft

the possible lengths and widths of each pasture are
case 1
x=53.94 ft
y=278.09 ft

case 2
x=208.56 ft
y=71.92 ft

7 0

4 years ago

Billy and Michael have 2 lemonade stands. Billy charges $2 per lemonade plus a flat rate of $2.

Lena [83]

1 lemonade.

2x+2=3x+1

-x+2=1
-x=-1
x=1 lemonade

4 0

2 years ago

Zhen borrows $1,200. She borrows the money for 2 years and owes $180 in simple

Rashid [163]

Answer: 7.5

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 7.5%/100 = 0.075 per year,

then, solving our equation

I = 1200 × 0.075 × 2 = 180

I = $ 180.00

4 0

3 years ago

At the stadium, the Grandstands, Bleachers and Box Seats cost $6.75, $4.50 and $10.50, respectively. If you have $80, then how m

Vesna [10]

You would be able to buy 7 seats because you would divide 10.50 by 80 and you would get 7.6.... and you don't have a 6th of a person so it would then be just 7.

7 0

4 years ago

The minimum of the graph of a quadratic function is located at (–1, 2). The point (2, 20) is also on the parabola. Which functio

ss7ja [257]

The min or max of a parabola/quadratic function is the vertex

for
y=a(x-h)²+k
the vertex is (h,k)

so
vertex/min is at (-1,2)
h=-1
k=2

y=a(x-(-1))²+2
y=a(x+1)²+2
find a
given, (2,20) is on the graph

20=a(2+1)²+2
20=a(3)²+2
20=9a+2
minus 2 both sides
18=9a
divide by 9
2=a

y=2(x+1)²+2 is da equation

3rd one
f(x)=2(x+1)²+2

5 0

3 years ago