What is the point-slope form of a line with slope -5 that contains the point
a
(2,-1)?

Answer:

C) cross products

Step-by-step explanation:

Let's say you were solving [tex]\frac{1}{2}=\frac{x}{4}[/tex] for example. You would need to use cross products to simplify the problem. Here, the left side would be 1*4, and the right side would be 2*x, giving you [tex]4=2x[/tex], thus, leading to the solution [tex]x=2[/tex]. We can see clearly that the cross products would thus need to be equal to each other.

The breadth of your books are perpendicular to the length because they meet at right angles.

The shape of a book is a rectangle. A rectangle has four enclosure. This means they are formed by 4 lines.

The opposite sides are equal in length.

The sides of the book has a pair of breadth and a pair of length.

The breadth and length are straight lines.

When this straight line meets, it forms a right angle(90 degrees). This means the breadth and the length are perpendicular to each other.

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Answer:

Equation: 1.50x + 10 [tex]\leq[/tex] 34

Amount of rides Dan can go on: 16 rides

Step-by-step explanation:

We can represent this situation using this equation:

1.50x + 10 [tex]\leq[/tex] 34

The $10 Dan has to pay as admission is the fixed number because it doesn't vary and always remains the same, so no x goes next to 10.

Each ride costs $1.50 so this is the variable number as it changes with how many rides Dan goes on, therefore an x will go next to 1.50 to represent the amount of rides Dan goes on.

Lastly, Dan has $34 to spare, so the amount spent has to be less than or equal 34.

Solve the equation for x to find the greatest amount of rides Dan can go on:

1.50x + 10 [tex]\leq[/tex] 34                      Subtract 10 from 34

1.50x [tex]\leq[/tex] 24                             Divide 24 by 1.50

x [tex]\leq[/tex] 16

So, Dan has enough money to go on 16 rides or less.

Let's check this answer:

1.50(16) + 10 [tex]\leq[/tex] 34                   Multiply 1.50 by 16

24 + 10 [tex]\leq[/tex] 34                           Add 24 and 10

34 [tex]\leq[/tex] 34

Hope this helps! Good luck and if you have any questions let me know in the comments!

             [tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]

          Write the equation of a line perpendicular to y=-12x+2 going

           through (0, -1)

     [tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]

        First, let's take a look at our provided information:-

     If two lines are perpendicular to each other, their slopes are opposite reciprocals of each other.

   So we take the slope of the given line, which is -12, change its sign from minus to plus:-

[tex]\Large\textit{12}[/tex]

And now, We flip the number over:-

[tex]\Large\text{$\displaystyle\frac{1}{12}$}[/tex]

Now that we've found the slope of the line, let's find its equation.

     The first step is to write it in point-slope form as follows:-

[tex]\longmapsto\sf{y-y_1=m(x-x_1)}[/tex]

Replace letters with numbers,

[tex]\longmapsto\sf{y-(-1)=\displaystyle\frac{1}{12}(x-0)}[/tex]

On simplification,

[tex]\longmapsto\sf{y+1=\displaystyle\frac{1}{12} (x-0)}[/tex]

On further simplification,

[tex]\longmapsto\sf{y+1=\displaystyle\frac{1}{12} x}[/tex]

Subtracting 1 on both sides,

[tex]\longmapsto\sf{y=\displaystyle\frac{1}{12} x-1}[/tex]

[tex]\Uparrow\texttt{Our equation in slope-intercept form}[/tex]

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[tex]\rule{300}{1}[/tex]

Answer:

1.     9 * 5 in.

2.    3 * 15 in.

Step-by-step explanation:

Volume = 1/3 * area of the base * height

120 = 1/3 * A * 8

So A = 120 / (8/3)

= 120 * 3/8

= 45 in^2.

So the dimensions of the base could be 9 * 5 in

or 3 * 15 in.

The possible shapes of the base are a square and a rectangular base.

The volume of a pyramid depends upon the type of pyramid’s base, whether it is a triangle, square or rectangle. A pyramid is a polyhedron figure which has only one base. The base of the pyramid is a poly sided figure.

Given here: A pyramid has a height of 8 inches and a volume of 120 cubic inches. Then we have volume of the pyramid as

120=l×b×8

l×b = 15

Therefore possible dimensions can be 7.5 &7.5 (Square base ) and 5×3 (rectangular base)

Hence, The possible shapes of the base are a square and a rectangular base.

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Given the radius r and the tangent line AB, the length of the line OA is 24 units

The radius r and the tangent line AB meet at a right angle.

By Pythagoras theorem, we have:

AB² = OA² + r²

So, we have:

24² = OA² + 7²

Rewrite as:

OA² = 24² - 7²

Evaluate

OA² = 527

Take the square root of both sides

OA = 23

Hence, the length of OA is 24 units

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By solving a linear equation we will see that the initial temperature was 66 degrees.

Let's define T as the initial temperature.

First, it increases by 18 F, then it decreases 6 F, and finally, it increases another 12 F, such that the end temperature is 94F.

Then we can write:

T + 18F - 6F + 12F = 94F

Now we can solve that linear equation to find T.

T = 94F - 18F + 6F - 12 F = 66 F

In this way, we conclude that the initial temperature was 66 degrees.

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Answer:

A=L*W

Step-by-step explanation:

6x²+8x+2=LX(3x+1)

                 2x+2

The points (2, -2) and (0, -1) lies on the inverse of the function y = (-x -2)/2 if the function is y = -2x - 2 option (C) and (E) are correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

In the graph, a linear equation is represented.

We can find the function of linear equation from the two points:

(-1, 0) and (0, -2)

x/-1  + y/-2  = 1

2x  + y  = -2

y = -2x - 2 ..(1)

From the equation, first take subject as x and find the value of x

2x = -y -2

x = (-y -2)/2

Replacing x→y and y →x

y = (-x -2)/2

The inverse of a function:

y = (-x -2)/2

Points (2, -2) and  (0, -1) lies on the inverse of the function(refer to attached picture)

Thus, the points (2, -2) and (0, -1) lies on the inverse of the function y = (-x -2)/2 if the function is y = -2x - 2 option (C) and (E) are correct.

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Answer:

21

Step-by-step explanation:

Answer: A. 21%

No equation

Step-by-step explanation:

-4+5

=1

therefore the answer is A.

Answer:

D) x=4

Step-by-step explanation:

-x+5=1

-x=1-5

-x=-4

x=4

Answer:

bottom left

Step-by-step explanation:

when divideing/mult by neg number, sign flips.

Answer:

y=3x-2

Step-by-step explanation:

y-y0=m(x-x0)

y-4=3x-6

y=3x-2

[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

Find the equation of a line that passes through (2,4) and has a gradient of 3.

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

First, let's take a look at our provided information.

| Provided information:-

[tex]\bigstar[/tex] On simplification,

[tex]\bigstar[/tex] On further simplification,

Which results in:-

[tex]\rule{300}{1}[/tex]

Answer:  [tex]\angle BAD[/tex]

Reason:

The arc goes from ray AB to ray AD. The two rays join at angle A which is the vertex point. When naming an angle, always use the vertex point in the middle. The order of the other two letters does not matter.

We could name this angle as [tex]\angle BAD[/tex] or [tex]\angle DAB[/tex] to mean the same exact thing. All that matters is that "A" is in the middle.

Ignore point C, and ignore ray AC entirely.

Answer:

  (b)  ∠BAD

Step-by-step explanation:

An angle can be named by the names of three points. The first point is on one of the rays that form the angle; the second point is the vertex; the third point is on the other ray.

Apparently the "marked" angle is identified by the arc extending from ray AB to ray AD. Point A is the vertex of the angle, so one possible name for it is ...

  ∠BAD

It can also be called

  ∠DAB

Answer:

Step-by-step explanation:

The value of x in the given equation [ √( 1 + (25/144) ) = 1 + (x/12) ] is 5.

An equation is simply a mathematical formula that expresses the equality of two expressions, using the equals sign as a connection between them.

Given that;

First, we square both sides

√( 1 + (25/144) ) = 1 + (x/12)

(√( 1 + (25/144) ))² = (1 + (x/12))²

1 + (25/144) = 1 + ( x²/144)

Collect like terms

1 - 1 + (25/144) = ( x²/144)

25/144 = x²/144

We cross multiply

25 × 144 = x² × 144

Multiply each sides by 1/144

x² = 25

x = √25

x = 5

Therefore, the value of x in the given equation [ √( 1 + (25/144) ) = 1 + (x/12) ] is 5.

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Step-by-step explanation:

just keep on adding all of those up

Based on the balance at the start of May and the purchases and payments made by Ruth, the balance at the beginning of April was b. $797.22.

First find the monthly rate:

= 10.91% / 12

= 0.909%

The beginning balance is x:

May balance = (Beginning balance x (1 + monthy rate) + Purchases - Payments

847.64 = x × 1.00909 + 88.34 - 45.17

1.00909x = 847.64 - 88.34 + 45.17

x = $797.22

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Answer:

B on edge

Step-by-step explanation:

Avery's salary after 18 years will be equal to $82000.

The amount of money paid by any company to their employees on monthly basis is called salary.

Given that:-

The amount of salary taken by Avery in her 18th year will be:-

Per year incrememnt = $1500

So total increment in 18 years will be = 1500  x  18  =  $27000

Total salary in 18th year will be = 55000  +  27000 = $82000

Therefore Avery's salary after 18 years will be equal to $82000.

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Step-by-step explanation:

the general vertex form is

y = a(x - h)² + k

with (h, k) being the vertex.

after doing all the multiplications we get

y = a(x² - 2hx + h²) + k = ax² - 2ahx + ah² + k

our original equation is

y = x² - 6x + 17

and now we simply compare the cording parts :

ax² = x²

a = 1

-2ahx = -2hx = -6x

-2h = -6

h = -6/-2 = 3

ah² + k = 17

3² + k = 17

9 + k = 17

k = 8

so the vertex form is

y = (x - 3)² + 8

Answer:

Actual volume = 40 cm^3.

Step-by-step explanation:

15% = 0.15 as a decimal fraction.

Let the actual volume be x cm^3, then we have the equation:

x + 0.15x = 46

1.15x = 46

x   = 46 / 1.15  

    = 40 cm^3.

Answer:

please make the image less blurry

Step-by-step explanation:

Answer:

C. Equilateral

Step-by-step explanation:

Every pair has equal angle

Answer:

A

Step-by-step explanation:

BECAUSE IT IS KIND OF ANGEL

According to the table,

f(x) = -8   ⇒   x = -4

and according to the definition of g(x),

g(x) = -4   ⇒   x = 3

Then

(f o g)(x) = f(g(x)) = -8   ⇒   g(x) = -4   ⇒   x = 3

Answer:

10 I think but not sure. but It has to be an Evan number

Answer:

26

Step-by-step explanation:

a=3

2(5x3-2)

5x3=15

15-2=13

2x13=26

Answer:

here is the required answer hope it help u

Step-by-step explanation:

−2(−5n+6)+5(2−7n)

10n-12+10-35n

-25n-2

Ivan mixed up left and right.

He mistakenly added 3 to the x coordinate to shift the points 3 units right, when instead he should have subtracted 3 from the x coordinate to go 3 units left.

Luckily, Ivan correctly shifted the points 2 units down.

The coordinates of A' and B' should be (1,5) and (6,1) respectively.

Refer to the diagram below.