How much are these coins worth???

Answer:

The answer is below

Step-by-step explanation:

a) The equation of a line passing through the point (0,0) and ​(16​,4​) is given by:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-0=\frac{4-0}{16-4}(x-0)\\\\y=\frac{1}{4}x[/tex]

We have to find the equation of the line perpendicular to y = (1/4)x and passing through the point (4,6).

The line perpendicular to y = (1/4)x has a slope of -4 (product of their slope = -1).

Hence:

[tex]y- y_1=m(x-x_1)\\\\y-6=-4(x-4)\\\\y-6=-4x+16\\\\y=-4x+22[/tex]

The slope of a line passing through the point (16,4) and ​(4​,6​) is given by:

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{6-4}{4-16}=-\frac{1}{6}[/tex]

We have to find the equation of the line perpendicular to  the line with slope of -1/6 and passing through the point (0,0).

The line perpendicular to a line with slope -1/6 has a slope of 6

Hence:

[tex]y- y_1=m(x-x_1)\\\\y-0=6(x-0)\\\\y=6x[/tex]

Solving y = 6x and y  = -4x + 22, gives:

x = 2.2, y = 13.2

Hence the orthocenter is at (2.2, 13.2)

b)

The slope of a line passing through the point (3,4) and ​(11​,12​) is given by:

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{12-4}{11-3}=1[/tex]

We have to find the equation of the line perpendicular to  the line with slope of 1 and passing through the point (8,15).

The line perpendicular to a line with slope 1 has a slope of -1

Hence:

[tex]y- y_1=m(x-x_1)\\\\y-15=-1(x-8)\\\\y=-x+8+15\\\\y=-x+23[/tex]

The slope of a line passing through the point (11,12) and ​(8​,15​) is given by:

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{15-12}{8-11}=-1[/tex]

We have to find the equation of the line perpendicular to  the line with slope of -1 and passing through the point (3,4).

The line perpendicular to a line with slope -1 has a slope of 1

Hence:

[tex]y- y_1=m(x-x_1)\\\\y-4=1(x-3)\\\\y=x-3+4\\\\y=x+1[/tex]

Solving y = -x + 23 and y  = x + 1, gives:

x = 11, y = 12

Hence the orthocenter is at (11, 12)

Answer: 282. 7 feets

Step-by-step explanation:

Height = 120 ft

θ = 23°

To obtain the distance (d) of plane from airport tower :

Tan θ = h / d

Tan 23 = 120 / d

0.4244748 * d = 120

d = 120 / 0.4244748

d = 282.70229

d = 282.7 feets

Answer:

The new ordered pair for point Q' are: Q' (5, 7)

Step-by-step explanation:

Q = (-5, 7)

The rule of translation is:

(x, y) → (-x,y)

According to this rule, the value of x is multiplied by -1, and the value of y remains the same.

Thus,

P(x, y) → P'(-x,y)

Q (-5, 7) → Q' (-(-5), 7) → Q' (5, 7)

Thus, the new ordered pair for point Q' are: Q' (5, 7)

Hey there!

x = 5

“y = -67.9(5) + 679”

-67.9(5) = -339.5

NEW EQUATION: “y = -339.5 + 679”

Solve above ^

Answer: y = 339.5 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

339.5 m

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Answer:

For X:

Divide each term by 9

and simplify.

x= y/9 + 8/9

For Y:

y= 9x−8

Answer:

1/6

Step-by-step explanation:

We can find the slope of the line using the slope formula

m = ( y2-y1)/(x2-x1)

   = ( 15 - 10)/( 21 - -9)

    = ( 15-10) /( 21+9)

    =5 / 30

  = 1/6

Answer:

2

Step-by-step explanation:

The y-intercept is when the line intersects the y-axis. In this image, you can see that the line intersects at 2 on the y-axis.

Hope this helps! :)

Answer:

A is Phosphourous, B is Oxygen

Step-by-step explanation:

The highest boiling point on the chart is 280 which belongs to Phosphouors, meaning that it has the highest boiling point. If you count it out, -183 you'd have to add 183 to get to 0, with 184 you would have to minus 184 to get to 0. So therefore oxygen's boiling point is closer to iodine.

Answer:

7.2 hours slept

Step-by-step explanation:

30%>.30

.30*24=7.2 hours

Hope this will help!

Answer:

(-2, -8)

x = -2

y = -8

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define systems

13x - 6y = 22

x = y + 6

Step 2: Solve for y

Substitution

Step 3: Solve for x

Answer:

-8/5 or 1.6

Step-by-step explanation:

if you get the 2 points on the graph and use slope formula you get the answer

Answer:

2:4 thats because together there are 6 marbles in total. 3 red and 1 blue = 4. and 2 yellow. 4:2, however, 4:2 is 4/2 in fraction, so that wont make sense. hat means the answer is 2:4 or 2/4.

Answer:

7/9

Step-by-step explanation:

There are 9 marbles total. there are 3 green, 4 blue, and 2 orange. The chance of picking an orange is 2/9. The chance of picking a green is 3/9, or 1/3. The chance of picking a blue is 4/9. To find the chance of not picking an orange, add 3/9 and 4/9 to get 7/9. The chance of not picking an orange is 7/9. I hope this helps!

Answer:

2x+216

Step-by-step explanation:

The answer was easy to get because to factor you would just multiply the two numbers together to get 54x4 = 216 and then add the 2x, so your answer is 216+2x

Answer:

Rocks

Explanation:

I'm quite sure scientists have looked at rock mass to determine Earth's crusts.

Answer:

That is igneous

Step-by-step explanation:

Answer:

Percent of Xander's friends that prefer to stay home on Friday nights = 46%

Step-by-step explanation:

23/50 of Xander's friends prefer to stay home on Friday nights.

What percent of Xander's friends prefer to stay home on Friday nights?

% of Xander's friends that prefer to stay home on Friday nights

= 23/50 × 100

= 0.46 × 100

= 46%

Percent of Xander's friends that prefer to stay home on Friday nights = 46%

Answer:

Step-by-step explanation:

Using the formula for calculating Amount;

Amount = Principal + Interest

Interest = Principal * Rate * time/100

For Annabelle:

Interest = 600*2*6/100

Interest = 6*2*6

Interest = $72

Amount after 6 years = $600 + $72 = $672

For Caroline:

Interest = 400*3*6/100

Interest = 4*3*6

Interest = $72

Amount after 6years = $400+$72 = $472

Hence Annabelle account will have more in it after 6 years.

Taking the difference in their amount = $672-$472 = $200

Hence Annabelle will have $200 more than Caroline in her account after 6 years

Step-by-step explanation:

55 minutes after 1735 is 1830.

Answer:

38

Step-by-step explanation:

Answer:

Yes, it represents a function

Step-by-step explanation:

Doing the vertical line test, no point goes through the vertical line twice

Answer:

A. 8

Step-by-step explanation:

Answer:

A/8

Step-by-step explanation:

Since you need to get x by itself you have to subtract the one on both sides. Then the equation is x/2=4 Since x is being divided by the 2 you have to multiply by two on both sides. That  leaves you with x=8

Answer:

71

you just had to add them

Step-by-step explanation:

The final price is the cost plus the tax.

Since we know the tax and a percent, we can write this as

T = C(1+r)

T = what Graham paid = $87.45

C = cost before tax

r = tax rate expressed as a decimal = .40

Plugging in what we know

87.45 = C (1+.4)

87.45 = C(1.4)

Divide both sides by 1.4

C = $62.46

Answer:

215.

Step-by-step explanation:

I dotn think there is any remainder so put 0

Answer:

215 NO REMAINDER

Step-by-step explanation:

Answer:

The variable 8. Equation is 16 + 12x = 112.

Step-by-step explanation:

We know that she spent $16 dollars on magazines, so we can put it in the equation (16 + x= ?). We also know that the total is $112, so we can also add that (16+ x= 112). We don't know how many books she got, but we do know how much they cost (16 + 12x=112. So that makes  the books the variable (X).

To find the variable we need to take out the magazines from the price. 112-16=96. Now we're left with 12x=96. Now all we have to do is divide 96 by 12, which equals 8.

Sorry everything is so long, I tried to make it short as possible