Find the slope when give. the following points : (1,6) and (3,-4)

Answer:

x+4y=13

Step-by-step explanation:

slope m= -1/4

(-3,4)

Slope intercept form: y=mx+c. plug in values of x,y,m, find c

4=(-1/4)*(-3)+c

c=4-3/4=(16-3)/4=13/4

Equation of line is:

y=(-1/4)x+13/4

To bring it to standard form, 4y=-x+13

x+4y=13

Answer:

t=1.58 seconds

Explanation:

The equation which models the height h of the seashell above water after t seconds

Height of seashell above water after t seconds; h = 40 - 8t²

Time that seashell is in air; t = 1.58 s

The sea shell is dropped under gravity and thus, from Newton's equations of motion, we know that height/distance is;

S = ut + ½gt²

Since it was dropped from a height and not the ground, then;

h = height of shell from ground

h_o = height from which the shell was dropped.

Thus, we have;

h - h_o = ut + ½gt²

We are told that the seashell was dropped into the ocean from a height of 40 ft. Thus;

h_o = 40 ft

It was dropped from rest and so; u = 0 ft/s

Acceleration due to gravity is; g = -32ft/s² (since it is free fall)

Thus;

h - 40 = 0(t) + ½(-32t²)

h = 40 - 8t²

The time that the seashell in the air will be after it has hit the surface which will be when h = 0.

Thus;

0 = 40 - 16t²

16t² = 40

t² = 40/16

t² = 2.5

t = √2.5

t = 1.58 s

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Answer:

35

Step-by-step explanation:

Its the only one that really makes sense.

Answer:

1 1/2

Step-by-step explanation:

Answer:

$1.26

Step-by-step explanation:

  9.80/8 = 1.22500

1.22500 rounded up = 1.26

Answer:

The independent variable doesn't rely on anything to change; it is independent

The dependent variable relies on the independent variable; what happens to it depends on the independent variable  

Think of independent and dependent variables like cause and effect: the independent variable is the cause, while the dependent variable is the effect. For example; in an experiment, you manipulate the independent variable and measure the outcome in the dependent variable.

I hope that wasn't to confusing!

I hope this helps! (✿◕‿◕✿)

Answer:

1/11x

Step-by-step explanation:

Answer: it is [tex]\frac{1}{11}x[/tex] or [tex]\frac{x}{11}[/tex]

Answer:

It Mike who ate the most pizza

Step-by-step explanation:

Answer:$18 taken away and the total will be 132

Step-by-step explanation:

Answer:

A numeral system is a writing system for expressing numbers; that is, a mathematical notation for representing numbers of a given set, using digits or other symbols in a consistent manner. The same sequence of symbols may represent different numbers in different numeral systems.

Step-by-step explanation:

Different types:

Oksapmin, base-27 body part counting. Photo Courtesy of Austronesian Counting. ...

Tzotzil, base-20 body part counting. ...

Yoruba, base-20 with subtraction. ...

Traditional Welsh, base-20 with a pivot at 15. ...

Alamblak, numbers built from 1, 2, 5, and 20. ...

Ndom, base-6. ...

Huli, base-15. ...

Bukiyip, base-3 and base-4 together.

Answer:

"A numeral system (or system of numeration) is a writing system for expressing numbers; that is, a mathematical notation for representing numbers of a given set, using digits or other symbols in a consistent manner. The number the numeral represents is called its value." Found on google not my words!

Step-by-step explanation:

Some different types are:

Decimal number system (Base- 10)

Binary number system (Base- 2)

Octal number system (Base-8)

Hexadecimal number system (Base- 16)

Step-by-step explanation:

y<3x-6,x=0 for y>-3x-5,y=0

y<-6 x<-5/3

y=0,x>2 x=0, y>-5

therefore, values of x will be 2<x>-5/3

and values of y will be -5<y>-6

so the point will be (-9,-1)

hope it helps.

28 mando the peace of work in 41 days

by divida 52 and 35 and multiiply with28

Answer:

[tex]\boxed {x = 12}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]72 + (7x + 24) = 180[/tex]

Add both [tex]72[/tex] and [tex]24[/tex] together:

[tex]72 + (7x + 24) = 180[/tex]

[tex]96 + 7x = 180[/tex]

-Subtract [tex]96[/tex] to both sides:

[tex]96 - 96 + 7x = 180 - 96[/tex]

[tex]7x = 84[/tex]

-Divide both sides by [tex]7[/tex]:

[tex]\frac{7x}{7} = \frac{84}{7}[/tex]

[tex]\boxed {x = 12}[/tex]

Therefore, the value of [tex]x[/tex] is [tex]12[/tex].

The value of x in the equation is 12

The given equation is: 72 + (7x+24) = 180

In order to determine the value of x, take the following steps:

1. Expand the terms in the bracket

72 + 7x+ 24 = 180

2. Combine similar terms

7x = 180 - 72 - 24

3. Add similar terms together

7x = 84

4. Divide both sides of the equation by 7

7x / 7 = 84/ 7

x = 12

In order to check if the value of x gotten is correct, substitute for x in the equation

72 + (7(12)+24) = 180

72 + 84 + 24 = 180

A similar question was solved here: https://brainly.com/question/31437?referrer=searchResults

Answer:

Selection to make is C, D, E

Step-by-step explanation:

Let the cost of a package of tulip bulbs be $x while the cost of a package of daffodil bulbs be $y

10 tulip = $10x

14 bulbs = $14y

The addition of both gives a total $402

10x + 14y = 402 •••••••(i)

11 tulip = $11x

4 dudafodil = $4y

Total is 237

11x + 4y = 237 ••••••••(ii)

So let’s solve to get the value of x and y

10x + 14y = 402

11x + 4y = 237

Divide equation 1 by 2

5x + 7y = 201

11x + 4y = 237

Multiply equation 1 by 4 and 2 by 7

20x + 28y = 804

77x + 28y = 1659

Subtract i from ii

57x = 855

x = 855/57

x = 15

Recall;

5x + 7y = 201

5(15) + 7y = 201

75 + 7y = 201

7y = 201-75

7y = 126

y = 126/7

y = 18

Cost of tulip is $15, cost of daffodil is $18

Answer:

Step-by-step explanation:

first ,you put it in a equation :y=x/2 +3 and you get an ordered pair from the graph like 7 is x  and  6.5 is y ,answer =7/2 =3.5 +3=6.5 and the y is also 6.5 so that is your answer.

Answer:

10) 1/7

11) 3/4

12) 1/3

13) 1/2

14) 1/2

15) 7/9

Answer:

70

Step-by-step explanation:

[tex]\frac{2}{7}x +\frac{1}{5}x=34[/tex]

We need to combine like terms but since they are fractions we first need to find a common denominator. The common multiple of 5 and 7 is 35 so we need to multiply 7 by 5 and 5 by 7, but we have to do the same to the numerator too.

[tex]\frac{2*5}{7*5} +\frac{1*7}{5*7}[/tex]

[tex]\frac{10}{35}x+\frac{7}{35} x=34[/tex]

Combine like terms

[tex]\frac{17}{35}x=34[/tex]

Divide 34 by [tex]\frac{17}{35}[/tex]

[tex]\frac{34}{1} *\frac{35}{17} =\frac{1190}{17} =70[/tex]

The amount of Ryegrass lawn seed purchased is 27.5 pounds and the linear equation formed is 0.70x + 28.75 = 48.

The equation whose variables have the highest power as 1 is known as a linear equation.

First, let us assume that the amount of Ryegrass lawn seeds purchased is x pounds.

The cost of Ryegrass lawn seeds is $0.70 per pound.

So, the cost of all the Ryegrass lawn seeds purchased is $0.70x.

The amount of Fescue lawn seeds purchased is 25 pounds.

And the cost of Fescue lawn seeds is $1.15 per pound.

So, the cost of all the Fescue lawn seeds purchased is,

= $1.15 x 25

= $28.75

And the total cost of buying the two types of lawn seeds is $48.

So, we can write the linear equation as,

0.70x + 28.75 = 48

Solving the linear equation for x, we get

0.70x = 48 - 28.75

0.70x = 19.25

x = 19.25/0.70

x = 27.5

Hence, the amount of Ryegrass lawn seed purchased is 27.5 pounds.

Learn more about solving linear equations here - https://brainly.com/question/1682776

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Answer:

y = 4x + 6

Step-by-step explanation:

Turn the equation we are given into slope-intercept form.

y - 5 = -1/4(x + 8)

y - 5 = -1/4x - 2

y = -1/4x + 3

The slope of a perpendicular line is the opposite reciprocal of the original line.

-1/4 -> 4/1 -> 4

Find the new y-intercept using the point given.

y = 4x + b

2 = 4(-1) + b

2 = -4 + b

6 = b

Fill in everything we solved for.

y = 4x + 6

Best of Luck!

Answer:

[tex]\huge\boxed{x=-26}[/tex]

Step-by-step explanation:

[tex]-0.66x+0.46x=5.2\qquad|\text{combine like terms}\\\\(-0.66+0.46)x=5.2\\\\-0.2x=5.2\qquad|\text{multiply both sides by (-5)}\\\\(-5)(-0.2x)=(-5)(5.2)\\\\x=-26[/tex]

Answer:

-26

Step-by-step explanation:

Answer:

y=2x+4

if you need more help comment

Answer:

x = $4

1. $10

2. $8

3. $6

Step-by-step explanation:

Let

Michael's doubled pocket money = 2x

He spends $3

Balance = 2x - 3

His sister's pocket money = $6

She spends $1

Balance = $6 - $1

= $5

2x - 3 = 5

2x = 5 + 3

2x = 8

x = 8/2

= 4

x = $4

After making the payments, they both together have $10

After Michael's pocket money was doubled, he has 2x

= 2(4)

= $8

His sister's has $6 before making the payments

Answer:

A. △GHD ≅ △EDH by SAS

Step-by-step explanation:

This is right on edge. 2020

In triangles GHD and EDH angle GHD and angle EDH is congruent, side GH is congruent to the side ED, and side HD is congruent to side HD. So, from side angle side postulate triangle GHD and triangle EDH are congruent.

Given :

In the Side Angle Side postulate, the two sides and the included angle of one triangle are congruent to the two sides and the included angle of another triangle.

Given that in triangles GHD and EDH angle GHD and angle EDH is congruent, side GH is congruent to the side ED, and side HD is congruent to side HD.

So, from side angle side postulate triangle GHD and triangle EDH are congruent. Therefore, the correct option is A).

For more information, refer to the link given below:

https://brainly.com/question/8476788

Answer:

EG= 18

Step-by-step explanation:

Please see the attached picture for the full solution.

Answer:

1) 180

2) 67

3) angle 4 and angle 1 are alternate interior angles

4) congruent

5) 59 degrees

6) alternate interior angles

7) congruent

8) 54 degrees

9) 180 degrees

10) 180 degrees

Step-by-step explanation:

Answer:

14, 16, and 18

Step-by-step explanation:

hope this helps!