The slope of Consider the line whose equation is 3x + y - 3 = 0. The slope of any line that is parallel to this line is any line that is perpendicular to this line is​

Answer:

As follows,

Step-by-step explanation:

You can solve these either by factoring or using the quadratic formula or other ways,

1. x^2+2x+1=0

Factoring,

(x+1)^2=0

x+1=0

x=-1

2.y^2-y-2=0

Using quadratic formula,

(-b±√(b^2-4ac))/2a

(--1±√(-1^2-4*1*-2))/2*1

(1±√(1+8))/2

(1±√(9))/2

(1±3)/2

y=(1±3)/2

y=(1+3)/2    y=(1-3)/2  

y=4/2          y=-2/2

y=2              y=-1

3.y^2+y+1=0

Using quadratic formula,

(-b±√(b^2-4ac))/2a

(-1±√(1^2-4*1*1))/2*1

(-1±√(1-4))/2

(-1±√(3))/2

No real roots

4. x^2+9x+18=0

Using quadratic formula,

(-9±√(9^2-4*1*18))/2*1

(-9±√(81-72))/2

(-9±√(9))/2

(-9±3)/2

x=(-9+3)/2  x= (-9-3)/2

x=-6/2         x=-12/2

x=-3           x=-6

5.x^2+5x+6=0

Using quadratic formula,

(-5±√(b^2-4ac))/2a

(-5±√(5^2-4*1*6))/2*1

(-5±√(25-24)/2

(-5±1)/2

x=(-5+1)/2  x=(-5-1)/2

x=-4/2       x=-6/2

x=-2         x=-3

6. 3n^2-13n-10=0

Using quadratic formula,

(-b±√(b^2-4ac))/2a

(-(-13)±√(-13^2-4*3*(-10)))/2*3

(13±√(169-(-120))/6

(13±√289)/6

The discriminant b^2−4ac>0

So there are 2 real roots.

x=(13±17)/6

x=30/6 or x=-4/6

x=5 or x=-2/3

Answer:

Step-by-step explanation:

1) 6  and -5

x₁ + x₂  = 6 +(-5) = 1

x₁* x₂   = 6*(-5) = -30

x² -(x₁ + x₂)x + (x₁* x₂)=0

x² - x  - 30 = 0

2) 4 and 7

x₁ + x₂  =4 + 7 = 11

x₁* x₂   = 4*7 = 28

x² - 11x + 28 = 0

3) 1 and -10

x₁ + x₂  = 1 +(-10) = -9

x₁* x₂   = 1*(-10) = -10

x²  - 9x - 10 = 0

4) -9 and 0

x₁ + x₂  = -9 + 0 = -9

x₁* x₂   = 0

x² - (-9)x  = 0

x² + 9x = 0

5)2 and 6

x₁ + x₂  = 2 + 6 = 8

x₁* x₂   = 2*6 = 12

x² -8x + 12 = 0

8) 2 +√3  and 2 - √3

x₁ + x₂  = 2+ √3 + 2 - √3 = 4

x₁* x₂   = (2 + √3)(2 - √3) = 2² - (√3)² 4 - 3 = 1

x² - 4x + 1 = 0

Answer:

y = 5x - 8

Step-by-step explanation:

10x -16 = 2y

y = 10/2x - 16/2

y = 5x - 8

Answer:

Its value is 9.8 m/s2

Answer:

9.8 m/s2

Step-by-step explanation:

Hello there! I can help you with joy! :)

If we have 2 points, then we can find the slope using this formula:

m=[tex]\frac{y2-y1}{x2-x1}[/tex]

y2=11

y1=-14

x2=11

x1=10

[tex]\frac{11-(-14)}{11-10}[/tex]

[tex]\frac{11+14}{1}[/tex]

25

Hope this helps you!

#HaveAnAmazingDay

[tex]GraceRosalia[/tex]

Thirty-eight thousand, four hundred and ninety-two

Simply write out the number as you would say it out loud!

9514 1404 393

Answer:

  3x² -17x +10

Step-by-step explanation:

Use the distributive property and collect terms.

  (x -5)(3x -2) = x(3x -2) -5(3x -2)

  = (3x² -2x) +(-15x +10)

  = 3x² -17x +10

Answer:

x=7

Step-by-step explanation:

Answer:

25 is already in the simplest form. It can be written as 0.4 in decimal form (rounded to 6 decimal places).

so its in its simplest form

Answer:

4 2/5 or 4.4

Step-by-step explanation:

2/5 x 11

22/5

Make sure to turn it into a mixed number.

Answer:

18:6 or 3:1

Step-by-step explanation:

Answer:

-78

Step-by-step explanation:

So we start with the innermost parentheses

(5+4) = 9

{1−[−3−(9)]} x -6

-3 - 9 = -12

{1 - [-12]}

Whenever you subtract a negative, the subtraction and negative cancel each other out, so it turns into addition

1 + 12 = 13

13 x -6 = -78

Answer:

3(x+15) is the answer

Step-by-step explanation:

The equation x+15 repeats 3 times so you would have to create an equation to multiply x+15 3 times.

3x+15 is wrong because its only multiplying x by 3 and ignoring 15

x+45 is wrong because it is only multiplying 15 by 3 and ignoring x

x+15 is wrong because it is not multiplied by 3

3(x+15) is correct because it is the only answer that multiples 3 with both terms

Hope this helps

Answer:

Lets say that x is the number 5,

Step-by-step explanation:

5 divided by 15 = 0.33333333333

5 divided by 0.33333333333 = 15

5 + 15 + 5 + 15 + 5 + 15=60

(I know im all over the place with this, but this is just what i do)

60 - 15 = 45

15 + 45 = 60  

I know this is random but maybe you may figure it out or get a random hint??, 3(x+15) is 3x + 45

PRETTY SURE ITS 3(x+15) Please give me brainliest i sat here for like 24 mins trying to figure this out :(

Answer: 15

Step-by-step explanation:

2x + 35 = 65

2x = 30

x = 15

Answer:

Step-by-step explanat ion:

<=>2 4x+12  = 12

<=>24 x = 0

<=>x  =0

Using a quadratic equation according to the area of the rectangular mat, it is found that:

The area of a rectangle of length l and width w is given by:

[tex]A = lw[/tex]

In this problem:

[tex]lw = 714[/tex]

[tex](25 + 4x)(21 + 2x) = 714[/tex]

[tex]8x^2 + 134x + 525 = 714[/tex]

[tex]8x^2 + 134x - 189 = 0[/tex]

Which is a quadratic equation with [tex]a = 8, b = 134, c = -189[/tex].

The, to find the widths of the mat, we have to first find the value of x, solving the quadratic equation.

[tex]\Delta = 134^2 - 4(8)(-189) = 24004 [/tex]

[tex]x_{1} = \frac{-134 + \sqrt{24004}}{2(8)} = 0.654[/tex]

[tex]x_{2} = \frac{-134 - \sqrt{24004}}{2(8)} = -9.03[/tex]  

We are interest in the positive value of x, so x = 0.654.

[tex]2(0.654) = 1.308[/tex]

A similar problem is given at https://brainly.com/question/14099239

Answer:

n = 16

Step-by-step explanation:

Given the proportion, n/28 = 4/7:

Cross multiply the two fractions:

7n = 28 × 4

7n = 112

Divide both sides by 7 to solve for n:

7n/7 = 112/7

n = 16

Therefore, the value of n = 16.

Please mark my answers as the Brainliest, if you find this helpful :)

Answer:

growth

Step-by-step explanation:

Answer:

Her estimate is greater than the actual height because both factors were rounded up.

Step-by-step explanation:

Hope this helps :)

Answer:

A. Her estimate is greater than the actual height because both factors were rounded up.

Step-by-step explanation:

Hope this helped! :)

Answer:

7 3/4

Step-by-step explanation:

Answer: 500km I believe

Step-by-step explanation:

hope this helps :)

Answer:

I think that the answer is 850

Step-by-step explanation:

find out how many km traveled 0.5 hours, then multiply by 12

Answer:

63% is the correct answer hope this helps

35

(-7) • (-5)

= 7 • 5

= 7 + 7 + 7 + 7 + 7

= 14 + 7 + 7 + 7

= 21 + 7 + 7

= 28 + 7

= 35

[tex] [/tex]

w=0

Step-by-step explanation:

-1.01=1.4(w+2)-2.41

-1.01=1.4w+2.8-2.41

-1.01=1.4w+0.39

-1.01-0.39=1.4w

+1.4=1.4w

1.4/1.4=w

0=w

So,the answer is w=O

I hope it is very helpful

Answer: E

Step-by-step explanation:

Answer:area is 12

Step-by-step explanation:

The domain of function H(t) is 0 ≤ t ≤ 20.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

From the graph,

We see that the value of t is from 0 to 20 seconds.

Now,

The value of t can be written as an inequality:

0 ≤ t ≤ 20

Thus,

The domain of function H(t) is 0 ≤ t ≤ 20.

Learn more about functions here:

https://brainly.com/question/28533782

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