write an equation in point slope form for a line with a slope of -3 that passes through (2, -4)​

Answer:

According to Euclidean geometry,a plane contains at least THREE points that DO NOT LIE on the same line.

Step-by-step explanation:

Three non-collinear points (points not on a single line). A line and a point not on that line. Two distinct but intersecting lines.

According to Euclidean geometry, a plane contains at least; 3 Points

The 3 points; do not lie on the same line

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Answer:

14

Step-by-step explanation:

Answer:

$4

Step-by-step explanation:

A movie ticket costs 10 dollars, and three people go.

10 x 3 = 30

42 - 30 = 12

The leftover money is for buying popcorn for each person.

12 / 3 = 4

So, it would cost 4 dollars for one person to buy a popcorn.

Answer:

When w =8. then...

8^2-4(8)-2.

64-32-2=30.

Answer:

Step-by-step explanation:

Plug in the value of w in the expression and use PEMDAS

w² - 4w - 2 = 8² - 4*8 - 2    {Need to calculate exponents}

                   = 64 - 4*8 - 2  {Now do multiplication}

                   = 64 -  32 - 2

                 =   32 - 2

                 = 30

Answer:

20

Step-by-step explanation:

1/5(6+3+1)^2

PEMDAS says parentheses first

1/5(10)^2

Then exponents

1/5 *100

Then multiply

20

Answer:

[tex]\Huge \boxed{\mathrm{20}}[/tex]

Step-by-step explanation:

[tex]\Rightarrow \displaystyle \frac{1}{5} \cdot (6+3+1)^2[/tex]

Solve for the brackets or parenthesis first.

Adding the terms in the brackets or parenthesis.

[tex]\Rightarrow \displaystyle \frac{1}{5} \cdot (10)^2[/tex]

Solving for the exponent or power.

[tex]\Rightarrow \displaystyle \frac{1}{5} \cdot (100)[/tex]

Multiplying both terms.

[tex]\displaystyle \Rightarrow \frac{100}{5} \\ \\ \\ \\ \Rightarrow 20[/tex]

Answer:

y = 3x -1

Step-by-step explanation:

y = mx +/- b

To find the y-intercept, using the table, we look for when x = 0. In this question, when x=0, y = -1. Therefore the y-intercept is -1.

to find the slope (m), we just plug in an "x" value and "y" value, and solve for "m".

i.e.

2 = 1m - 1

3 = 1m

m = 3 = slope

If you use this with any of the other values you will get the same result.

I hope this helps!

-TheBusinessMan

-

Answer:

-3 ≤y≤6

Step-by-step explanation:

The range is the output values or the y values

The y values go from -3 to 6 including these values

-3 ≤y≤6

24 months

168 games

72 + 4m = 120 + 2m

4m - 2m = 120 - 72

2m = 48

m = 48 : 2

m = 24 months

24 months

72 + 4×24 = 72 + 96 = 168 games

120 + 2×24 = 120 + 48 = 168 games

Answer: 25 units.

Step-by-step explanation:

Given: B is the midpoint of line segment AC.

[tex]\Rightarrow\ AB=\dfrac{AC}{2}[/tex]

If [tex]AB = 4x + 1[/tex] and [tex]AC = 5x + 20[/tex], then we have

[tex]4x+1=\dfrac{5x+20}{2}[/tex]

Multiply 2 on both sides, we get

[tex]2(4x+1)=5x+20\\\\\Rightarrow\ 8x+2=5x+20\\\\\Rightarrow\ 8x-5x=20-2\\\\\Rightarrow\ 3x=18\\\\\Rightarrow\ x= 6[/tex]

Now, AC = 5(6)+20 =30+20=50 units

Then, BC= [tex]\dfrac{50}{2}=25\text{ units}[/tex]  

Hence, the length of BC is 25 units.

Answer:

3

Step-by-step explanation:

The horizontal component of the force is 25.98 lb and the vertical component is 15 lb.

A vector quantity has both magnitude and direction. It is added using parallelogram law of addition.

The sum of two vector quantities is always a vector quantity.

The sum of two vector quantities can vary from their scalar difference to their scalar addition.

Given that,

The force applied by the man is 30 lb.

The angle the force makes with ground is 30°.

For a vector A making angle x with the horizontal axis the horizontal and vertical component are given as,

The horizontal component is ACos(x)

And, the vertical component is ASin(x)

Thus, the horizontal and vertical component of the force are

Horizontal component = 30Cos(30°)

                                      = 30 × √3 / 2

                                      =  25.98

Vertical component = 30Sin(30°)

                                  = 30 × √3/2

                                  = 15

Hence, the horizontal and vertical components of the force are 25.98 lb and 15 lb respectively.

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Step-by-step explanation:

In this question we need to decrease 216 by [tex]37\dfrac{1}{2}\%[/tex] or 37.5 %.

For this, firstly find 37.5 % of 216.

[tex]37.5\%\ \text{of}\ 216=\dfrac{37.5}{100}\times 216\\\\=81[/tex]

Now subtracting 81 from 216 to find decrease of 216 by 37.5 %.

So,

216-81 = 135

Hence, 135 is the decrease of 216 by 37.5 %.

The percentage decrease of 216 by 37 1/2% be is 135

Given:

Original value = 216

Percentage decrease = 37 ½%

Decrease = 37 ½% of 216

= 75/2 ÷ 100 × 216

= 37.5 / 100 × 216

= 0.375 × 216

= 81

New value = Original value - Decrease

= 216 - 81

= 135

Therefore, the percentage decrease of 216 by 37 1/2% be is 135

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Answer:

Um... positive ten.

Step-by-step explanation:

negative * negative= positive. So the answer is ten.

Answer:

10

Step-by-step explanation:

● -5 (-2)

● (-5) × (-2)

The product of two negative numbers is a positive number

● 5×2

● 10

Answer:

-5x-8.14 is the correct answer

Step-by-step explanation:

First distribute the terms

12x - 1.7 - 17x  -6.7 =

Then add/subtract similar terms

12x - 17x = -5x

-1.7 -6.7 = -8.14

so it's -5x -8.14

:)

Answer: -5x-8.4

Step-by-step explanation:

[tex]\left(12x-1.7\right)-\left(17x+6.7\right)[/tex]

remove the parentheses

[tex]12x-1.7-17x-6.7[/tex]

Simplify

Group like terms

[tex]12x-17x-1.7-6.7[/tex]

Add

[tex]12x-17x=-5x=[/tex]

[tex]-5x-1.7-6.7[/tex]

Subtract

[tex]-1.7-6.7=-8.4[/tex]

= [tex]-5x-8.4[/tex]

Answer:-10,-7

Step-by-step explanation:

10*-1=-10

11*-1+4=-7

Answer:

S'(-1, -2)

Step-by-step explanation:

Coordinates of the vertices of the square PQRS have been given as P(2, 6), Q(6, 5), R(5, 1) and S(1, 2)

Rule to rotate a point by 180° about the origin,

(x, y) → (-x, -y)

By this rule new coordinates of the image will be,

P(2, 6) → P'(-2, -6)

Q(6, 5) → Q'(-6, -5)

R(5, 1) → R'(-5, -1)

S(1, 2) → S'(-1, -2)

Therefore, coordinates of S' will be (-1, -2).

Answer:

48.484848 repeating   %

Step-by-step explanation:

The total number in the class is

17+16 = 33

Percent girls is girls/total = 16/33 =.48484848 = 48.484848 repeating   %

Answer:

b. 3:2

Step-by-step explanation:

thick paintbrushes : thin paintbrushes

6 : 4 (both can be divide by 2,so we simplifiy by dividing both with 2)

3 : 2

The solution is Option B.

The ratio of thick paintbrushes to thin paintbrushes is 3 : 2

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

Given data ,

Let the equation be represented as A

Now , the value of A is calculated as

Let the number of thin paintbrushes in the kit be = x

The value of x = 4

Let the number of thick paintbrushes in the kit be = y

The value of y = 6

Now , the proportion is given by

The ratio of thick paintbrushes to thin paintbrushes = number of thick paintbrushes in the kit / number of thin paintbrushes in the kit

Substituting the values in the equation , we get

The ratio of thick paintbrushes to thin paintbrushes = 6 / 4

The ratio of thick paintbrushes to thin paintbrushes = 3 / 2

The ratio of thick paintbrushes to thin paintbrushes = 3 : 2

Therefore , the value of A is 3 / 2

Hence , the ratio of the paintbrushes is 3 : 2

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Answer:

5/6

Step-by-step explanation:

e/f = 2/3

Then

e= 2f/3

f/g = 5/4

Then

g= 4f/5

So

e/g= 2f/3 / 4f/5 = 1/3 * 5/2 = 5/6

Answer:

5/6

Step-by-step explanation:

e/f = 2/3 After that e= 2f/3 f/g = 5/4 So then g= 4f/5 at last

Answer:

(2, 1 )

Step-by-step explanation:

Using the Section formula

For endpoints (x₁, y₁ ) and (x₂, y₂ ) partitioned in the ratio m : n

Then coordinates of point are

[ [tex]\frac{mx_{2}+nx_{1} }{m+n}[/tex] , [tex]\frac{my_{2}+ny_{1} }{m+n}[/tex] ]

Here m = 5, n = 2, (x₁, y₁ ) = (- 3, - 9), (x₂, y₂ ) = (4, 5), thus partitioned point

= [ [tex]\frac{5(4)+2(-3)}{5+2}[/tex] , [tex]\frac{5(5)+2(-9)}{5+2}[/tex] ]

= [ [tex]\frac{20-6}{7}[/tex] , [tex]\frac{25-18}{7}[/tex] ]

= ( [tex]\frac{14}{7}[/tex] , [tex]\frac{7}{7}[/tex] )

= (2, 1 )

Answer:

  2√3

Step-by-step explanation:

Multiply these binomials in the usual way:

  (1 +√3)(3 -√3) = 1(3 -√3) +√3(3 -√3)

  = 3 -√3 +3√3 -3 = (3 -3) +√3(-1 +3)

  = 2√3

Answer:

550 and 803

Step-by-step explanation:

Let the number be N = abc

Then:

There are:

Out of 900 numbers:

The easiest and simplest way is to try them all.

The trial reveals 550 and 803, so this is the answer.

Answer:

[tex]Y= 120n+635[/tex]

Step-by-step explanation:

Alright!

we are expected to model the total amount of money Myles have\

firstly he has with him $635

and he is earning $120 weekly

Say the number of weeks he worked is given is n

and let the amount of money Myles will have after n weeks be y

hence we can now model the equation to represent how much Myles will have after n weeks

[tex]Y= 120n+635[/tex]

The expression is same as the equation for a straight line

i.e [tex]y= mx+c[/tex]

Answer:

y ≤ -21

Step-by-step explanation:

y+6≤-15

y≤-21

Hope this helps!

Answer: y + 6 <_ -15

- 6 -6

y <_ -21

Answer:

Cost of 1 pound if sliced ham = $4

Step-by-step explanation:

Mrs. Ruiz bought 4 1/4 pounds of sliced ham for $17. At that rate, what is the cost of 1 pound of sliced ham?

Total pounds of ham bought= 4 1/4 pounds

Total cost = $17

what is the cost of 1 pound of sliced ham

Cost of 1 pound if sliced ham = Total cost of 4 1/4 sliced ham / 4 1/4

= $17 ÷ 17/4

= 17 × 4/17

= 4

Note:4 1/4 = 17/4

Cost of 1 pound if sliced ham = $4

Check:

4 1/4 pounds × $4 per pound

= 17/4 × 4

= $17

Answer:

8.68 radians per second.

Step-by-step explanation:

The circumference of the wheel is 2 π r

= 38π meters.

So that is 164.95 / 38π of full turns of the wheel.

1 turn of the wheel = 2π radians , so the answer is

(164.95 / 38π)  * 2π  

= 164.95 / 19

= 8.68 radians per second.

[tex]\dag\bf\:A(x_1,y_1)=(1,5)[/tex]

[tex]\dag\bf\:B(x_2,y_2)=(3,13)[/tex]

We have to find distance between point A and point B[tex].[/tex]

[tex]\bigstar\:\boxed{\bf{AB=\sqrt{(x_2-x_1)^2+(y_2+y_1)^2}}}[/tex]

[tex]:\implies\tt\:AB=\sqrt{(3-1)^2+(13-5)^2}[/tex]

[tex]:\implies\tt\:AB=\sqrt{(2)^2+(8)^2}[/tex]

[tex]:\implies\tt\:AB=\sqrt{4+64}[/tex]

[tex]:\implies\tt\:AB=\sqrt{68}[/tex]

[tex]:\implies\tt\:AB=\sqrt{4(17)}[/tex]

[tex]:\implies\underline{\boxed{\bf{\red{AB=2\sqrt{17}\:unit}}}}[/tex]

Answer:

  see below

Step-by-step explanation:

We have to assume that the question is referring to the doubly-shaded length, the one that is 10 bright blue units long.

You can read the overall length of the shaded area as 5/4, from the markings.

For the next part, you need to count the number of units that are shaded bright blue (10) and the number that are shaded blue overall (15). As a fraction of those shaded blue overall, the ones shaded bright blue are 10/15 = 2/3.

So, the length shaded bright blue is 2/3 of the overall length of 5/4. It is represented by the product ...

  [tex]\boxed{\dfrac{2}{3}\times\dfrac{5}{4}}[/tex]

Answer:

The answer is 70 you would add the 8 degrees but them subtract it again

Answer:

m>a is 40

Step-by-step explanation:

4x + 50 = 90

4x = 40

x = 10

10*4 = 40

M>A = 40