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likoan [24]
3 years ago
10

A line passes through (2, −1) and (4, 5).

Mathematics
2 answers:
liberstina [14]3 years ago
7 0
The answer to the first question is B
The second question is B
PSYCHO15rus [73]3 years ago
6 0

Answer:

<h2>1) Option B is the correct answer.</h2><h2>2) Option B is the correct answer.</h2>

Step-by-step explanation:

1) We have equation of line passing through (x₁,y₁) and (x₂,y₂) given by

                       y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

   (x₁,y₁) = (2, −1) and (x₂,y₂) = (4, 5)

Substituting

       y-(-1)=\frac{5-(-1)}{4-2}(x-2)\\\\y+1=3(x-2)\\\\y+1=3x-6\\\\-3x+y=-7

Option B is the correct answer.

2) Point slope form of line is given by

                 y-y₁ = m(x-x₁)

        (x₁,y₁) = (1, 9) and m = 5

     Substituting    

               y-9 = 5(x-1)        

     Option B is the correct answer.  

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The amount of $180.00 is what percent greater than $135.00
olga nikolaevna [1]
Percent change = ((new value) - (old value))/(old value) × 100%
  = (180 -135)/135 × 100%
  = 33 1/3%

180 is about 33% greater than 135.
8 0
3 years ago
Consider the example of finding the probability of selecting a black card or a 6 from a deck of 52 cards.
Marina86 [1]

Answer:

The probability of selecting a black card or a 6 = 7/13

Step-by-step explanation:

In this question we have given two events. When two events can not occur at the same time,it is known as mutually exclusive event.

According to the question we need to find out the probability of black card or 6. So we can write it as:

P(black card or 6):

The probability of selecting a black card = 26/52

The probability of selecting a 6 = 4/52

And the probability of selecting both = 2/52.

So we will apply the formula of compound probability:

P(black card or 6)=P(black card)+P(6)-P(black card and 6)

Now substitute the values:

P(black card or 6)= 26/52+4/52-2/52

P(black card or 6)=26+4-2/52

P(black card or 6)=30-2/52

P(black card or 6)=28/52

P(black card or 6)=7/13.

Hence the probability of selecting a black card or a 6 = 7/13 ....

7 0
3 years ago
A party rental company has chairs and tables for rent. The total cost to rent 3 chairs and 2 tables is $18. The total cost to re
DerKrebs [107]
C= chair cost
t= table cost

Create two equations with the given information. Solve for one variable in equation one. Substitute that answer in equation two. Then you can solve for the needed information.
3c+2t=$18
5c+6t=$48

3c+2t=18
Subtract 2c from both sides
3c=18-2t
Divide both sides by 3
c=(18-2t)/3

Substitute the value for c in equation two:
5c+6t=$48
5((18-2t)/3)+6t=48
(90-10t)/3+6t=48
Multiply everything by 3 to eliminate fraction
(3)((90-10t)/3)+(3)(6t)=(3)(48)
90-10t+18t=144
90+8t=144
Subtract 90 from both sides
8t=54
Divide both sides by 8
t=$6.75 cost for table

Substitute the t value to solve for c:
3c+2t=18
3c+2(6.75)=18
3c+13.50=18
3c=4.50
c=$1.50 chair cost

Check:
5c+6t=$48
5(1.50)+6(6.75)=48
7.50+40.50=48
48=48

Hope this helps! :) If it does, please mark as brainliest.
7 0
3 years ago
U + 3b - 2a + 2 solve for a
MA_775_DIABLO [31]

Answer:

a=2

Step-by-step explanation:

u=3b-2(2) or u=3b-4

3 0
3 years ago
An angle measures 36° more than the measure of a complementary angle. what is the measure of each angle?
nexus9112 [7]
An acite becaues it lowers than the others
6 0
3 years ago
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