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tester [92]
3 years ago
12

find an equation in slope intercept form for the line though point P(-3,2) and perpendicular to the line containing the two poin

ts (2,3) and (1,-2)
Mathematics
1 answer:
CaHeK987 [17]3 years ago
5 0

Answer:

y=-1/5 x +7/5

Step-by-step explanation:

First lets find the slope of the line containing the points (2,3) and (1,-2) by using the equation for slopes m1 = (y2 - y1) / (x2 - x1),

Which results in m1=5

If two lines are perpendicular, then their slopes must satisfy the following condition

m1*m2=-1

So, our new line must have the following slope (m2): m2*m1=1, if m1=5, then m2=-1/5

The line passes through P(-3,2)

Remember that the equation for a line is given by the following:

y=mx+b

if we eval P inside that equation, with m=-1/5

we have b.

2=-1/5*-3 +b

b=2-3/5

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If the product of roots of the equation given below is 4, then find the value of m.
Vikentia [17]

Answer:

m=-2

Step-by-step explanation:

As the product of the roots of a quadratic equation is c/a in ax^2+bx+c=0

here a=2, b=+8, c=-m^3

Given c/a=4

-m^3/2=4

-m^3=8

m^3= -8

m=-2.

8 0
3 years ago
Sally has 100$she wants to bye 20 big cupcakes that coast 37$ how many can she bye
dlinn [17]
Are the cupcakes 37 dollars each or is it 37 dollars for 20 cupcakes?
if they are $37 each then sally can buy 2 cupcakes
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3 0
3 years ago
What two numbers multiply to 50 but add up to 5
vichka [17]
I assume the question is multiply to -50 and add to +5... If so, the answer is +10 and -5. 10 (-5) = -50 .... and 10 + (-5) = +5
3 0
3 years ago
Read 2 more answers
A new school has x day students and y boarding students.
guapka [62]

Given:

The fees for a day student are $600 a term.

The fees for a boarding student are $1200 a term.

The school needs at least $720000 a term.

To show:

That the given information can be written as x + 2y\geq 1200.​

Solution:

Let x be the number of day students and y be the number of boarding students.

The fees for a day student are \$600 a term.

So, the fees for x day students are \$600x a term.

The fees for a boarding student are \$1200 a term.

The fees for y boarding student are \$1200y a term.

Total fees for x day students and y boarding student is:

\text{Total fees}=600x+1200y

The school needs at least $720000 a term. It means, total fees must be greater than or equal to $720000.

600x+1200y\geq 720000

600(x+2y)\geq 720000

Divide both sides by 600.

\dfrac{600(x+2y)}{600}\geq \dfrac{720000}{600}

x+2y\geq 1200

Hence proved.

3 0
3 years ago
Can u find the slope intercept form pls?​
Aleks [24]

Answer:

y=(-3/4)x-2

Step-by-step explanation:

slope intercept is y=mx+b

y--5=-3/4(x-4)

y+5=-(3/4)(x-4)

y+5=-(3/4)x-2

y=(-3/4)x-2

6 0
2 years ago
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