What is an equation of the line that passes through the points (2,6) and (1, 1)?

Answer:

first multiply 3 with −8 and we get − 24

then find two numbers that if we add or subtract we get + 10 and if we multiply we get − 24

and the numbers are + 12 and −2

then we place those numbers as follow :-

3x²+12x−2x−8

then we group them

(3x2+12x)(−2x−8)

now take the common factor out.

3x(x+4)−2(x+4)

then group the numbers outside of the brackets

(3x−2)(x+4)

And that is the answer:

Proper Solution:-

1.) 3x2+10x−8

2.) 3x2+12x−2x−8

3.) (3x2+12x)(−2x−8)

4.) 3x(x+4)−2(x+4)

5.) (3x−2)(x+4)

Answer:

p = -10

shortest side (a) = 5

longest side (b) = 12

Step-by-step explanation:

QUESTION 2: Solve for p by isolating the variable.

3/4 p - 1/4 p + 3 = -2  ----- subtract 3 from both sides

3/4 p - 1/4 p = -5  

2/4 p = -5  ----- simplify 2/4

1/2 p = -5  ------ multiply 2 on both sides

p = -10

QUESTION 3:

Perimeter of a triangle = a + b + c

a = x

b = 3x - 3

c = 2x

x + 2x + 3x - 3 = 27 cm  ------ combine like terms

6x - 3 = 27   ----- add 3 on both sides

6x = 30

x =5   ------- substitute 5 everywhere you see "x" for the side values

side a = x = 5

side b = 3x - 3 = 3(5) - 3 = 12

side c = 2x = 2(5) = 10

shortest side (a) = 5

longest side (b) = 12

Answer:

Answer to question 2:

[tex]\frac{\left(3\right)}{\left(4\right)}p-\frac{\left(1\right)}{\left(4\right)}p+3=-2\quad :\quad p= ?[/tex]

[tex]\frac{\left(3\right)}{\left(4\right)}p-\frac{\left(1\right)}{\left(4\right)}p+3=-2[/tex]

[tex]\frac{3}{4}p-\frac{1}{4}p+3=-2[/tex]

[tex]\mathrm{Subtract\:}3\mathrm{\:from\:both\:sides}[/tex]

[tex]\frac{3}{4}p-\frac{1}{4}p+3-3=-2-3[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]\frac{3}{4}p-\frac{1}{4}p=-5[/tex]

[tex]Simplify\\[/tex]

[tex]2p=-20[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}2[/tex]

[tex]\frac{2p}{2}=\frac{-20}{2}[/tex]

[tex]p=-10[/tex]

_____________________________________

Answer to question 3

Measure of the shortest side is 5 cm

Measure of the longest side is 12 cm

Given:

Perimeter of ∆ = 27 cm

Side lengths of ∆: x, 2x, and 3x - 3

Required:

Measure of the shortest side and measure of the longest side.

Sum of all sides of the ∆ = Perimeter

Solve for x

Collect like terms

Add 3 to both sides

Divide both sides by 6

Length of each side of the ∆:

x = 5 cm

2x = 2(5) = 10 cm

3x - 3 = 3(5) - 3 = 15 - 3 = 12 cm

Measure of the shortest side is 5 cm

Measure of the longest side is 12 cm

Step-by-step explanation:

Answer:

m=5

Step-by-step explanation:

We can solve this by using a system of equations. The easiest way to solve this is by using substitution.

3m=19-n       Subtract both sides by 19 to find n.

-19  -19

3m-19=-n      Divide everything by -1 to make n positive.

/-1        /-1

n=-3m+19

Now, we can substitute n into the second equation.

2m+5(-3m+19)=30    Substitute (-3m+19) into n.

2m-15m+95=30       Simplify.

-13m+95=30              Simplify and subtract both sides by 95.

        -95 -95

-13m=-65                    Divide both sides by -13.

/-13    /-13

m=5

We don't need to solve for n at all, so that is the answer!

Hope this helps, and have an amazing day ♥

Answer:

2/5,4/9,5/7

Step-by-step explanation:

2/5 = 0.4

4/9 = 0.444444444

5/7 = 0.714285

Answer:

To overcome such type of real world problems we use union. Unlike structures union occupies single memory location to store all its members. So, unions are helpful when you want to store value in single member from a set of members. Size of union is defined according to size of largest member data type.

Step-by-step explanation:

In union, all members share the same memory location. For example in the following C program, both x and y share the same location. If we change x, we can see the changes being reflected in y. #include <stdio.h> // Declaration of union is same as structures.

Answer:

Answers - d and e

Step-by-step explanation:

A surd is basically an irrational number, or a number that is not a whole number. (Surd examples - 1.2938, 5.3108)

The square root of 15 is between 3 and 4 (not a whole number) and the square root of 30 is between 5 and 6 (not a whole number)

hope this helps

Answer:

Claiming points again since all these answers are right, thank you yet again.

Step-by-step explanation:

⏁⊑⏃⋏☍ ⊬⍜⎍ ⎎⍜⍀ ⏁⊑⟒ ⌿⍜⟟⋏⏁⌇ ⎅⟒⏃⍀ ⎎⍀⟟⟒⋏⎅, ⟟ ⏃⋔ ⎎⍜⍀⟒⎐⟒⍀ ⟟⋏ ⊬⍜⎍⍀ ⎅⟒⏚⏁.

Answer:

The difference of seven and two tenths and a number is more than twenty nine.

7.2 -n >29

Choice A

Step-by-step explanation:

55°

Step-by-step explanation:

110+15+x =180

x = 180 - 125

x = 55°

Answer:

Step-by-step explanation:

Answer:

I believe that would be 0.0235. I hope this helps you! :)

Answer:

0.0235

Step-by-step explanation:

dfrac{2349}{100000}

Round to the required significant figure: 0.0235

Step-by-step explanation:

8/3 × -5/2 = -20/3

that is the answer

Answer:

(i. -15<-9)

II. is -3^2 is > then 2^3

Answer:

1 = <

2= >

Step-by-step explanation:

The common difference is the amount between each number in an arithmetic sequence.

For example, the sequence 4,7,10,13,... has a common difference of 3.

Answer:

the answer is Y = -1.5x + 36

Answer: In ^3

Step-by-step explanation: V = (1/2) (4/3) π(d/2^3

Plug in  

d = 56.7 in

and get V in units of in^3.

Answer:

[tex] \sf \: x = 70.4[/tex]

Step-by-step explanation:

Given equation,

→ 2.5 + x = 81 - 8.1

Now the value of x will be,

→ 2.5 + x = 81 - 8.1

→ 2.5 + x = 72.9

→ x = 72.9 - 2.5

→ [ x = 70.4 ]

Hence, value of x is 70.4.

Answer:

The answer is 25 because they're both the same.

Mark me as brainliest please.

Step-by-step explanation:

The total cost of Beena's travel, villa and art lessons = £1790.97

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

The total cost of her travel is £349

Beena is on holiday for 2 weeks.

The cost of the villa is 650 euros per week.

i.e. 2*650

  =1300 euros

  =1300/1.12

  =£1160.71

While on holiday, Beena has 7 art lessons.

The cost of each art lesson is 45 euros.

i.e. total cost = 7*45

                     =315

                     =315/1.12

                     =£281.25

[Using an exchange rate of 1.12 euros = £1]

Hence, The total cost of Beena's travel, villa and art lessons = £1790.97

To learn more on multiplication click:

brainly.com/question/5992872

#SPJ2

Answer:

24 kilograms of catfish

Step-by-step explanation:

Take the percentage of catfish as a decimal or fraction and multiply it by the total amount of fish caught. The percent of catfish is 40% which is the same thing as 0.4. Multiply that by the total 60 kg of fish to get 24 kg of catfish.

17.5mph

420÷24= 175

Hope this helped you- have a good day bro cya)

Answer:

17.5mph

Step-by-step explanation:

To isolate x, we will first subtract 0.8 from both sides.

0.6x + 0.8 = 1.4

-0.8 -0.8

0.6x = 0.6

Now all we have to do is divide both sides by 0.6, because it is the number besides x.

0.6x/0.6 = 0.6/0.6

x = 1

So you get the answer of x = 1.

Answer:

y=4x-2

Step-by-step explanation:

m=4

put what numbers you know into the equation for b.

-2=4(0)+b

-2=0+b

-2=b

now put that into the equation

y=4x-2

Answer:

40

Step-by-step explanation:

Answer:

44444444444444444444

Answer:

No I don't agree with Marty because when or if I get more money I have to give it to the bank so lets say I earned 15 dollars I would have to give five to the bank because I owe the them but if Ii have 0 dollars I don't owe the bank money I get all the 15 dollars.

Step-by-step explanation:

Answer/Step-by-step explanation:

I disagree with Marty because If Marty would have -$5 it would mean he owns that person $5. If you don't have money you don't owe anything.  If Marty would have -$5 it would mean he owns that person $5. If you don't have money you don't owe anything.

Answer:

8.3

Step-by-step explanation: