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Please give answer and explain how to solve.

The first thing I'll do is solve "5y = 2x + 20" for "y=", so that I can find my reference slope:

y = (2/5)x + 4;

So the reference slope from the reference line is m = 2/5;.

Now I need to find two new slopes, and use them with the point they've given me; namely, with the point (-1, 3). They want me to find the line through (4, –1) that is parallel to 5y = 2x + 20; that is, through the given point, they want me to find a line that has the same slope as the reference line. 

Since a parallel line has an identical slope, then the parallel line through (-1, 3) will have slope m = 2/5. Now I have a point and a slope! So I'll use the point-slope form to find the line: y - 3 = (2/5)( x + 1);

Finally, y = (2/5)x + 17/5;

Answer: The answer you are looking for is option A which would be 3  - 7x^5 +x^2

Step-by-step explanation: It is a 5th degree trinomial because, there are three terms in this equation being 3, 7x^5, and x^2; this makes it a trinomial becuase there are three terms. What makes this a 5th degree is the fact that the highest exponet is 5.

Answer:

3

Step-by-step explanation:

We are given that an expression

[tex]0.1400\times 6.02\times 10^{23}[/tex]

We have to find the number of significant figures in the  product .

In 0.1400 , there are 4 significant figures

In [tex]6.02\times 10^{23}[/tex], there are three significant figures

[tex]0.1400\times 6.02\times 10^{23}[/tex]

[tex]0.8428\times 10^{23}[/tex]

In multiplication, we have to precise the final answer to least significant figures.

Therefore, the final answer=[tex]0.843\times 10^{23}[/tex]

Hence, three significant figures in the product.

Final answer:

Two integers can have no common factors, making them coprime or relatively prime.

Explanation:

Yes, it is possible for two integers to have no common factors. When two integers have no common factors, they are considered relatively prime or coprime. For example, 15 and 28 are coprime because the only positive integer that divides both numbers is 1.

Answer: the speed boats speed in km / h is:

v = 3062.8 Km / h

Answer:

[tex]y=3x+12[/tex]

Step-by-step explanation:

We have been given an equation in standard form [tex]-3x+y=12[/tex]. We are asked to write our given equation as a function.

We know that the function represents a relationship between input and output, where each input gives exactly single output.  

To write our given equation as a function we need to convert our given equation into slope-intercept form of equation because in slope-intercept form, there is exactly one y output for each input of x.

[tex]y=mx+b[/tex], where,

m = Slope,

b = The y-intercept.

To convert our given equation into slope-intercept form, we need to get y on left side of our equation.

[tex]-3x+3x+y=3x+12[/tex]

[tex]y=3x+12[/tex]

Now our equation is in form of a function, where each value of x gives exactly one y value.

To find an irrational number when added to 0.4, you need to add an irrational number. One example is adding the square root of 2 to 0.4.

To find a number that produces an irrational number when added to 0.4, let's consider a rational number like 0.6.

Irrational numbers are infinite in nature and cannot be represented accurately as a finite decimal or fraction. They exist along with rational numbers, forming the set of real numbers on the number line.

Answer:

First figure as shown below is the correct option.

Step-by-step explanation:

We are given that,

The pre-image is rotated in the direction of the arrow to form an image.

It is required to find the image formed.

Since, the arrow is rotating counter-clockwise, we get that,

The star in the pre-image will rotate upwards towards the left.

So, according to the options, we have,

The first image where the star is at the highest height will be the image after rotating the pre-image.

Hence, the first figure as shown below is the correct option.

Samuel received a 10% discount on the music system, calculated by finding the difference between the list price ($800) and the sale price ($720), then dividing that by the list price and multiplying by 100.

The question at hand is about calculating the rate of discount Samuel received on his new music system. Initially, the list price of the music system was $800, but Samuel paid $720 for it. To find the rate of discount, we first need to determine the discount amount which is the difference between the list price and the sale price.

Next, to find the rate of discount, we use the formula:

Rate of Discount = (Discount Amount / List Price) × 100

Substituting the values we have:

Rate of Discount = ($80 / $800) × 100 = 10%

Therefore, Samuel received a 10% discount on the music system.

Answer:

The height of the barnacle is approximately is, 0.657 meters.

Step-by-step explanation:

Given the graph below of y =sin(x)                  ......[1]

Let y be the height of the barnacle and x be the distance the boat has traveled

Given: The boat has traveled 7 meters

i.e, x = 7 meters

to find the height y :

Substitute the value of x =7 meters in [1] we have;

y = sin(7) ≈0.657.

Therefore, the height of the barnacle is approximately is, 0.657 meters.

you can see also in the graph as shown below:

Answer:

1st is C 2nd is B

Step-by-step explanation:

Answer: S=10 in

Step-by-step explanation:

The first thing we must do in this case is to find the area of the smallest square.

For this, we use the following relationship:

A1 / A2 = 4/1

Substituting:

400 / A2 = 4/1

From here, we clear A2:

A2 = (1/4) * (400)

A2 = 100 in ^ 2

We now look for the side of the small square, we use the following relationship:

A = S ^ 2

We cleared S:

S = root (A)

S = root (100)

S = 10 in

I copied the guy above me 4 points

Answer:

The length of z is [tex]3\sqrt{3}[/tex] unit

Step-by-step explanation:

First Label the diagram as shown in the attachment:

In right [tex]\triangle ABC[/tex];

first find the value of y:

Use Pythagoras theorem states that in a right angled triangle, the square of the hypotenuse is equal to the sum of the squares on the other two sides.

In [tex]\triangle ABC[/tex]

length of AB =6 unit , length of BC =y unit and the length of AC = 3+9 =12 unit

Now, using Pythagoras theorem to get the value of y;

[tex]AB^2+BC^2=AC^2[/tex]

[tex]6^2+y^2=12^2[/tex] or

[tex]36+y^2=144[/tex] or

[tex]y^2=144-36[/tex]=108 or

[tex]y=\sqrt{108}[/tex]

on simplify we get,  [tex]y=6\sqrt{3}[/tex] unit

Therefore, the length of BC is [tex]6\sqrt{3}[/tex] unit.

now, in [tex]\triangle BDC[/tex]

using Pythagoras theorem to find the value of z;

[tex]BD^2+CD^2=BC^2[/tex]

Putting the values of BD = z units , BC = [tex]6\sqrt{3}[/tex] unit and DC = 9 units we have,

[tex]z^2+9^2=(6\sqrt{3})^2[/tex] or

[tex]z^2+81=108[/tex] or

Simplify:

[tex]z^2=27[/tex]  or

[tex]z=\sqrt{27} = 3 \sqrt{3}[/tex]

Therefore, the value of length z is [tex]3\sqrt{3}[/tex] unit

Answer:

36.87

Step-by-step explanation:

Just took the k12 test!!

Answer:

13.4

Step-by-step explanation:

=15.21-3.9-4.7+6.79

=15.21+6.79-3.9-4.7

=22-3.9-4.7

=18.1-4.7

=13.4

Answer: Our wavelength will be 2333.3 m.

Step-by-step explanation:

Since we have given that

Wave speed = 7 km/ s

Frequency = 3 Hz

We need to find the wavelength of an earthquake wave:

As we know that :

[tex]Frequency=\dfrac{Wave\ speed}{wavelength}[/tex]

First we convert km/sec to m/sec.

So, 7 km/sec= 7000 m/sec

so, our wavelength becomes

[tex]\dfrac{Wave\ speed}{frequency}\\\\\\=\dfrac{7000\ m/sec}{3\ Hz}\\\\\\=2333.33\ m[/tex]

So, our wavelength will be 2333.3 m.