What is the slope of a line parallel to the line whose equation is 9x-3y=-54

Answer:

Step-by-step explanation:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\(2,-5)\quad\implies\quad x_1=2\,,\ \ y_1=-5\\\\(3,-7)\quad\implies\quad x_2=3\,,\ \ y_2=-7\\\\d=\sqrt{(3-2)^2+(-7+5)^2}= \sqrt{1^2+(-2)^2}=\sqrt{1+4}=\sqrt5=2.236....\approx2.24[/tex]

Question: Reflective symmetry over y = (3/5)x ?  

Answer:  No

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Question: Reflective symmetry over y = (5/3)x ?  

Answer:  No

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Explanation:

For any parallelogram that's a square, we'll have four lines of symmetry: The two diagonals and two extra lines of symmetry for the opposite pairs of sides.

In this case, we don't have a square (we can prove this by finding the lengths of each side of the parallelogram), so we move on.

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If the parallelogram is a rectangle, then we'll have two lines of symmetry: one for each pair of opposite sides.

However, we don't have a rectangle either. We can prove this by finding the slopes of the blue lines of the parallelogram, and finding they are not perpendicular slopes.

So we move on.

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The last case is a parallelogram that isn't a rectangle. So it's not a square either. That's what we have here. For parallelograms of this nature, there are no lines of symmetry. We cannot fold it along any line to have it match up with itself.

So that's why the answer is "no" to both of these questions.

Answer:

No and No.

Step-by-step explanation:

Answer:

The equation for slope-intercept form is y=mx+b In this form, m is the slope of the line and the b is the y-intercept. or rise/run

Step-by-step explanation:

Answer:

The rose over run so the difference vertical/ difference horizontal

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

(5/100) * (400/1)

cancel the zeros

4 * 5= 20

Answer:

28/35

Step-by-step explanation:

Soh-Cah-Toa

Sin = Opposite/Hypotenuse

Cos = Adjacent/Hypotenuse

Tan = Opposite/Adjacent

Answer:

14.49

Step-by-step explanation:

14 * 0.035 = 0.49

14 + 0.49 = 14.49

formula

perimeter:c²=a2+b2

area:A=length x width

Answer:

Thats A radical number

Step-by-step explanation:

Since its. Sqare root with a never ending decimal (not perfect)

Answer:

md(-2,-1)

Step-by-step explanation:

Md=(x1+x2/2,y1+y2/2)

or,Md=(-1-3/2,2-4/2)

or,Md=(-4/2,-2/2)

•°•Md=(-2,-1)

Answer:

Step-by-step explanation:

sup

Answer:

Grape juice has 180 containers.

Step-by-step explanation:

Given that the ratio of containers of orange juice to containers of grape juice in a store is 5 orange juices to 4 grape juices.

i.e.

Orange Juice containers : Grape Juice containers = 5 : 4

Total containers = 405

It means if we divide 405 by 9, we get the 9 equal parts of 45.

i.e. 405 / 9 = 45

as

Orange Juice containers : Grape Juice containers = 5 : 4

It means the share of Grape Juice containers is 4 parts out of 9 parts.

Thus, multiply 45 by 4 to determine the number of containers grape juice have:

45 × 4 =  180 containers

Therefore, grape juice has 180 containers.

Answer: In 5 years it will be worth £455

Step-by-step explanation:

Step 1

Given

The cost of the T.V. for Colin = £530.

The rate of depreciation per year = 3%

Time/ period = 5 years

Formulae to be used

F = P  X (1 - r) ^ n

where

F = the future value after depreciation

P = the present value.

r =the interest rate per time period

n = the time/ periods

Step 2--- SOLVING

F = P  X (1- r) ^ n

F= 530 x (1-0.03) ^ 5

=530 x 0.858734

=£455.129

Rounding up to the nearest penny where appropriate = £455

Answer: Y= -5

Step-by-step explanation: First, Add 7 to both sides to get the y alone because that's your goal here.

Then your all good

Answer:

[tex](2x^2+16x+32)\ \text{sq. inches}[/tex]

Step-by-step explanation:

b = h = Base = Height of triangle = [tex](x+4)\ \text{inches}[/tex]

Area of one triangle

[tex]A=\dfrac{1}{2}bh=\dfrac{1}{2}(x+4)(x+4)[/tex]

There are 4 colored triangles so total area of the triangles is

[tex]4A=4\times \dfrac{1}{2}(x+4)(x+4)\\\Rightarrow 4A=2(x+4)^2\\\Rightarrow 4A=2(x^2+8x+16)\\\Rightarrow 4A=2x^2+16x+32[/tex]

The area of the colored triangles is [tex](2x^2+16x+32)\ \text{sq. inches}[/tex]

Answer:

yes

Step-by-step explanation:

ok thus is a help for help tho

Answer: C. 10.

Step-by-step explanation:

Let x = Number of times you have to go to the gym in order for it to cost the same amount.

Given: Monthly pass fee = $90

Additional charge = $4

Total amount = (Monthly fee)  + (Number of times) (Additional charge)

Total amount = 90+4x                (i)

Payment for each time you go to the gym = $13

Total amount = 13x                    (ii)

From (i) and (ii) , we get

[tex]13x=90+4x\\\\\Rightarrow\ 13x-4x=90\\\\\Rightarrow\ 9x=90\\\\\Rightarrow\ x=\dfrac{90}{9}\\\\ \Rightarrow\ x= 10[/tex]

Hence, the number of times you have to go to the gym in order for it to cost the same amount= 10

Hence, the correct option is C. 10.

Answer:

$11,970 is the price of the car before the discount

Step-by-step explanation:

Answer:

[tex]x = 14ft[/tex]

Step-by-step explanation:

Given

[tex]Actual\ Length = 21ft[/tex]

Model:

[tex]3\ ft = 2\ in[/tex]

Required

Determine the length of the replica

Represent the model as a ratio:

[tex]Ratio = 3\ in:2\ ft[/tex]

Convert to fraction

[tex]Ratio = \frac{3\ in}{2\ ft}[/tex]

Represent the actual lengths as a ratio

[tex]Ratio = 21\ ft : x[/tex]

Where x is the length of the replica

Convert to fraction

[tex]Ratio = \frac{21\ in}{x}[/tex]

Equate both ratios (because they are in proportion)

[tex]\frac{3\ in}{2\ ft} = \frac{21\ in}{x}[/tex]

[tex]\frac{3}{2\ ft} = \frac{21}{x}[/tex]

Cross Multiply:

[tex]3 * x = 21 * 2\ ft[/tex]

[tex]3x = 42\ ft[/tex]

Solve for x

[tex]x = \frac{42ft}{3}[/tex]

[tex]x = 14ft[/tex]

Hence, the length of the replica is 14ft

Answer:

True

Bones seperated from a joint

Step-by-step explanation:

Answer:

5 is bones separated from the joint

Step-by-step explanation:

Answer:

0.6

Step-by-step explanation:

Brainliest please

Answer:

x = 54

Step-by-step explanation:

Answer:

x = 5

the correct answer is perpendicular I have not received

yes is 54 the correct answer

The length DC of the triangle ΔBDC using the trigonometric function will be 30.43 units.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

The length of BD is given as,

sin A = BD / AB

sin 54° = BD / 20

BD = 20 × sin 54°

Then the length of DC is given as,

tan C = BD / DC

tan 28° = (20 × sin 54°) / DC

DC = (20 × sin 54°) / tan 28°

DC = 20 × 1.5215

DC = 30.43 units

The length DC of the triangle ΔBDC using the trigonometric function will be 30.43 units.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

#SPJ5

Answer:

A. y+6 = -3(x-2)

Step-by-step explanation:

The slope point formula is:

y - y₁ = m (x - x₁)

Our slope is negative 3, and our coordinates given are 2 and -6.

Substitute -3 for m, -6 for y₁, and 2 for x₁

y - (-6) = -3 (x - 2)

Negative and negative multiplied together make postive

A. y+6 = -3 (x-2)

Answer:

1 mile per hour

Step-by-step explanation:

Answer:

1.2 I think sorry if I'm wrong double check to see

Step-by-step explanation:

This is what I thought of oof so sorry if it incorrect