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Alenkinab [10]
3 years ago
15

write the equation of a line that is perpendicular to the given line and that passes through given point -x+5y=14;(-5,-2) show y

our work
Mathematics
1 answer:
Brums [2.3K]3 years ago
8 0
For perpendicular lines, m2 = -1/m1.

For line -x + 5y = 14 => 5y = x + 14 => y = 1/5 x + 14/5 => slope = 1/5

m2 = -1 / (1/5) = -5

Required equation is y - (-2) = -5(x - (-5))
y + 2 = -5(x + 5)
5x + y = -25 - 2
5x + y = -27
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Lorenzo buys 3 shirts at S dollars a piece and 2 pairs of pants at P dollars a pair. What does the expression 3s + 2p represent?
ryzh [129]

Answer:

The expression 3s + 2p represent total price of 3 shirts and 2 pairs of pants.

Step-by-step explanation:

It is given that

Price of a shirt = S dollar

Price of a pair of pants = P

Total number of shirts = 3

Total number of pairs of pants = 2

Total price = Quantity × Price of each unit

Total price of 3 shirts = 3S

Total price of 2 pairs of pants = 2P

Total price of 3 shirts and 2 pairs of pants = 3S + 2P

Therefore the expression 3s + 2p represent total price of 3 shirts and 2 pairs of pants.

3 0
3 years ago
Read 2 more answers
A car rental agency charges $10 to reserve a car and $25 per day. You have $160 to spend on the rental car.
ira [324]
You would have a maximum of 6 days
$160-$10 = $150
$150/$25=$6
6 0
3 years ago
Three girls bought a pizza for lunch. One girl ate 1/3 of the pizza another girl ate 1/4 of the pizza and the third ate the rest
Bad White [126]
One ate  1/3,  Another ate = 1/4.

Total ate =  1/3 + 1/4  = (4 + 3) / 12 = 7/12

Fraction the third girl got =  (The whole =1)  minus 7/12

=  1 - 7/12 =  (12 - 7) / 12 = 5/12

The third girl ate 5/12 of the pizza.
3 0
4 years ago
I need help please ​
Naddik [55]

Answer:

Step-by-step explanation:

7) ∠1  + 30 = 180                {linear pair}

            ∠1 = 180 - 30

            ∠1 = 150

8)  ∠2 = 30    {Vertically opposite angles are congruent}

9) In ΔLMN,

∠L + ∠N + ∠M = 180   {angle sum property of triangle}

50 + 30 + ∠M = 180

       80 + ∠M = 180

                ∠M = 180 - 80

                ∠M = 100°

10) Sum of exterior angle of a triangle equals to sum of opposite interior angles.

∠B + ∠A = ∠BCD

30 +   ∠A = 80

        ∠A  = 80 - 30

      ∠A = 50

4 0
3 years ago
Read 2 more answers
What is the measure of angle x?
ira [324]

DH B forms a triangle.

H = 180 - 33-46 = 101

X = 180 -101 = 79 degrees.

4 0
3 years ago
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