18. Suppose the line through points (x,6) and (1,2) is parallel to the graph of 2x + y = 3. Find the value
of x. Show your work

to get the equation of any straight line, all we need is two points from it, Check the picture below, let's use those two.

[tex](\stackrel{x_1}{-5}~,~\stackrel{y_1}{-5})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{(-5)}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{(-5)}}}\implies \cfrac{1+5}{0+5}\implies \cfrac{6}{5}[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{\cfrac{6}{5}}(x-\stackrel{x_1}{(-5)}) \\\\\\ y+5=\cfrac{6}{5}(x+5)\implies y+5=\cfrac{6}{5}x+6\implies y=\cfrac{6}{5}x+1[/tex]

Answer: Approximately 8 minutes and 20 seconds

This is equivalent to 500 seconds.

==============================================

Explanation:

Any electromagnetic wave travels at the speed of light in a vacuum.

The speed of light is about 300,000 km per second.

time = distance/speed

time = (150,000,000 km)/(300,000 km per second)

time = 500 seconds

It takes about 500 seconds for an electromagnetic wave to go from the sun to the earth.

-----------

Divide by 60 to find the minutes and seconds

500/60 = 8 remainder 20

500 seconds = 8 minutes & 20 seconds

Answer:

65.1

Step-by-step explanation:

FG corresponds to IJ, and EF corresponds to HI. So, 13/47 = 18/x. 13x = 846, x= 65.08, which rounds to 65.1.

Answer:

The left side would point down (quadrant 3)

Step-by-step explanation:

Since the polynomial is negative, the function would point downwards.

The 30°-60°-90° triangle is labeled with the correct side length ratio is shown in the attached image.

The angle between sides with lengths 1 and 2 is 60 degrees.

The angle between sides with lengths 2 and [tex]\sqrt{3}[/tex]  is 30 degrees.

A right triangle is shown.

The hypotenuse has a length of 2.

The lengths of the other 2 sides are 1 and [tex]\sqrt{3}[/tex].

The angle between sides with lengths 1 and 2 is 60 degrees.

The angle between sides with lengths 2 and [tex]\sqrt{3}[/tex]  is 30 degrees.

The two angles, other than the angle of 90degree in a right-angle triangle, are always acute angles.

The largest side of a right-angled triangle is known as the Hypotenuse.

The 30°-60°-90° triangle is labeled with the correct side length ratio is;

It is a triangle where the angles are always 30, 60, and 90. As one angle is 90, this triangle is always a right triangle.

Thus, these angles form a right-angled triangle.

To know more about the right triangle click the link given below.

https://brainly.com/question/16391426

Answer:

answer is A on edge

Step-by-step explanation:

the angle all the way to the left

Answer:

X=5

Step-by-step explanation:

Answer:

A) not similar

Step-by-step explanation:

for the triangles to be similar the side lengths must be proportional.

For example:

99/35 should be equal to 121/44 but when we do cross multiplying we see they are not equal therefore the the triangles are not similar.

Answer:

35%

Step-by-step explanation:

The price it cost the site to buy the grills was $580 but they were selling them for $783. So for each grill, they get a profit of $203. (783-580=203).

35% of $580 is 203 which adds up to $783

So therefore the markup rate is 35% I hope this helps!

Answer:

Sam has $900 more money. In total he now has $905.

Answer:

I think the answer is B

Step-by-step explanation:

She divided the numbers wrong

Answer:

See below.

Step-by-step explanation:

3(3x−1)=6x−3

9x-3=6x-3

   +3     +3

9x=6x

-6x  -6x

3x=0

/3   /3

x=0

There are no solutions.

-hope it helps

Answer:

x=0

Step-by-step explanation:

[tex]3(3x-1)=6x-3[/tex]

Use the distributive property to multiply 3 by 3x-1.

[tex]9x-3=6x-3[/tex]

Subtract 6x from both sides.

[tex]9x-3-6x=-3[/tex]

Combine 9x and -6x to get 3x.

[tex]3x-3=-3[/tex]

Add 3 to both sides.

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

Add −3 and 3 to get 0.

[tex]3x=0[/tex]

Product of two numbers is equal to 0 if at least one of them is 0. Since 3 is not equal to 0, x must be equal to 0.

[tex]x=0[/tex]

Hope this helps! Brainliest would be much appreciated! Have a great day! :)

The measurement capacity of the freezer is; 50 cubic feet

A freezer has dimensions which are length, width and height.

Now, for us to calculate the capacity of the freezer, we need to first measure the height and the width of the freezer's opening. Then we multiply the depth, height and width together to determine the capacity in cubic feet

Read more about the volume of a Freezer at; https://brainly.com/question/369839

Step-by-step explanation:

If f(x) = 2 is the thing that we need to meet as a criterion, then what should we do to x?

simply equate these two.

f(x) = 2 = 13x + 4

2 = 13x + 4

13x = 2 - 4

x = -2 / 14.

Answer:

60 km

Step-by-step explanation:

a)  A bearing is an angle, measured clockwise from the north direction.

(They are always given in 3 figures).

Therefore, the bearing of B from A is 090°

b)  Method 1

Jafar drives from A to B = 2.4cm

As 1 cm represents 200 km, then 2.4 x 200 = 480 km

Kenzi drives from B to C = 1.2 + 1.5 = 2.7 cm

As 1 cm represents 200 km, then 2.7 x 200 = 540 km

To calculate how much further Kenzi drives that Jafar, subtract the distance Jafar drives from the distance Kenzi drives:

540 - 480 = 60 km

Method 2

The other way to do this is to calculate the difference in distance in centimeters and then convert the answer to kilometres by multiplying it by 200:

Jafar = 2.4 cm

Kenzi = 1.2 + 1.5 = 2.7 cm

Difference = 2.7 - 2.4 = 0.3 cm

Convert to km = 0.3 x 200 = 60 km

Answer:

26

Step-by-step explanation:

Answer:

profit = 129.63% (to the nearest hundredth) as a percent of the price the store paid for the book

Step-by-step explanation:

Use the percentage change formula:

percent change = [ (difference between the initial value and the final value) ÷ initial value] x 100

= [ (6.20 - 2.70) ÷ 2.70 ] x 100

= [ 3.5 ÷ 2.70 ] x 100

= 37/27  x 100

= 129.6296296...

= 129.63% (to the nearest hundredth)

Answer:

56 rides

Step-by-step explanation:

70/100 = 0.70

70 percent of 80 = 0.70 * 80

= 56

There are 56 rides made for kids who are 48 inches and taller.

Hope this helps, please mark branliest if possible it always helps :)

Answer:

3.588

Step-by-step explanation:

I hope it'll help you...

Answer:

6

Step-by-step explanation:

Here it's given that ,

[tex]\sf\red{\longrightarrow} A=\sqrt{s(s-a)(s-b)(s-c)}[/tex]

Also ,

[tex]\sf\red{\longrightarrow} s =\dfrac{a+b+c}{2}[/tex]

And we need to find out the value of A , when

So , on substituting the respective values to find s we have ,

[tex]\sf\red{\longrightarrow} s =\dfrac{3+4+5}{2}=\dfrac{12}{2}=\bf{6}[/tex]

Now let's find out A as ,

[tex]\sf\red{\longrightarrow} A = \sqrt{6(6-3)(6-4)(6-5)} \\[/tex]

[tex]\sf\red{\longrightarrow}A =\sqrt{6 * 3 * 2 * 1}\\[/tex]

[tex]\sf\red{\longrightarrow} A = \sqrt{3^2 * 2^2 *1^2}\\[/tex]

[tex]\sf\red{\longrightarrow}A = 3*2\\[/tex]

[tex]\sf\red{\longrightarrow}\boxed{\qquad \blue{\bf A = 6 \qquad}}[/tex]

Answer:

14.42

Step-by-step explanation:

First, find the length of the leg of the bigger triangle (not the overall big triangle) using the Pythagorean Theorem. The overall length is 24, but we don't know the leg of the bigger triangle or the little triangle, so that is why we are going to find the length of the bigger triangle's leg. b = 12 and c = 20.

[tex]a^{2} + b^{2} =c^{2} \\a^{2} +12^{2} =20^{2} \\a^{2} +144=400\\a^{2} +144-144=400-144\\a^{2} =256\\\sqrt{a^{2}} =\sqrt{256}\\a = 16[/tex]

Next, find the leg of the little triangle by subtraction

24 - 16 = 8

Finally, you can find the hypotenuse of the little triangle by using the Pythagorean Theorem. a = 12 and b = 8

[tex]a^{2} + b^{2} =c^{2} \\12^{2} +8^{2} =2c^{2} \\64 +144=c^{2}\\208 = c^{2} \\\sqrt{208}=\sqrt{c^{2}} \\ c = 14.42[/tex]

Answer:

The answer is 2 2/9

Step-by-step explanation:

Hope that will help you!

Answer:

14s^4-7s^2+15

Step-by-step explanation:

At the beginning the only bracket that is changing is the 3rd one because of the minus. (12s^4-6s^2+4s)+(6s^4-4s+27)-4s^4+s^2+12 then open the rest of the brackets. And start calculating.i will just to show you which ones u calculate together. (I'll separate the numbers depending on what they're squared to).

12s^4+6s^4-4s^4=14s^4

-6s^2-s^2=7s^2

27-12=15

All together is 14s^4-7s^2+15

Answer:

slope -3, y intercept 15

Step-by-step explanation:

Slope intercept for of equation is:

y=mx+b

Given equation is in form of

d=15-3v

From this we can conclude the slope is -3

y-intercept is 15

Answer:

  it has a lower mass/volume ratio

Step-by-step explanation:

Density is the ratio of mass to volume. An elevator will have the same volume, regardless of the number of people. The mass will increase with the number of people.

An elevator with 50 people in it will have a higher mass/volume ratio than an elevator with 3 people in it. Hence the latter is less dense.

__

Additional comment

50 persons would require an industrial elevator of perhaps 10,000 pound load capacity. There might be safety issues with carrying that many people.

Answer:

it will be 0.44%

Step-by-step explanation:

make it brainliest please, if u can (;

Answer:

It is 0.45%

Step-by-step explanation:

» Smple, just multiply the fraction with 100%

[tex]{ \tt{ = \frac{2}{455} \times 100\% }} \\ \\ = { \tt{ \frac{200}{455} \: }\%} \\ \\ { \tt{ = 0.45\%}}[/tex]

Answer:

3c - 12

Step-by-step explanation:

3(c-4), you have to distribute the number that is outside.

3*C - 3*4 = 3c - 12

It should be noted random sampling is to survey as random assignment is to experiment.

Random sampling  can be regarded as kind of sampling technique whereby each of the sample posses equal probability of being chosen.

Therefore, random sampling is to survey.

Learn more about random sampling at:

https://brainly.com/question/13336365

Answer:

Sum: 75kg or 310gm

Difference: 25kg or 190gm

Step-by-step explanation:

Sum:

25+50=75kg

250+60=310gm

Difference:

50-25=25kg

250-60=190gm