write an equation of a line that passes through the point (5,-1) and is parallel to the line y = (-3/5)x -3

Using proportions, it is found that the height of the lighthouse is of 84 ft.

The rule of three is:

5.25 feet - 8 feet

x feet - 128 feet

Applying cross multiplication:

[tex]8x = 5.25(128)[/tex]

[tex]x = \frac{5.25(128)}{8}[/tex]

[tex]x = 84[/tex]

The height of the lighthouse is of 84 ft.

A similar problem, which also uses proportions, is given at https://brainly.com/question/24372153

Answer: a2 + b2 = 202

Step-by-step explanation: Since they are consecutive odd integers, then we can just divide 202 by 2, square root it, then round to the nearest two odd integers. In this case, 202 / 2 = 101 ⇒ 1010.5 ≈ 10.04. The two nearest odd integers are 9 and 11. We can verify that this is the pair: 92 + 112 = 81 + 121 = 202.

Answer:

[tex]\left \{ {x-y=-2\atop {x^2+y^2=202[/tex]  ⇔  [tex]\left \{ {{y=11} \atop {x=9}} \right.[/tex]

Step-by-step explanation:

Answer:

Kate = 52 seconds, Alexia = 58 seconds, Trina = 49 seconds

Step-by-step explanation:

A = K + 6

T = K - 3

K + A + T = 2 min 39 sec or 159 sec

K + (K + 6) + (K - 3) = 159sec

3K + 3 = 159sec

3K = 156sec

K = 52 sec

A = 52 + 6 = 58 sec

T = 52 - 3 = 49 sec

Answer:

parallel

Step-by-step explanation:

Answer:intersect

Step-by-step explanation:

Answer:

1,2,3,2,2

Step-by-step explanation:

because standard form is ax

Answer:

y= 11

Step-by-step explanation:

[tex]\boxed{slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]

Substituting the coordinates and value of slope:

[tex] \frac{y - ( - 3)}{3 - ( - 4)} = 2[/tex]

[tex] \frac{y + 3}{3 + 4} = 2[/tex]

[tex] \frac{y + 3}{7} = 2[/tex]

Multiply both sides by 7:

y +3= 2(7)

y +3= 14

Subtract 3 from both sides:

y= 14 -3

y= 11

Answer:

$2.5/hr

Step-by-step explanation:

1/2 hr = 1.25

(1/2 hr)x2 = $1.25 x 2

1 hr = $2.5

Answer: Permutation is 30

Step-by-step explanation:

Answer:

$1,353 a year $16,256 total paid 12 years

Check B

(-3,0) and (0,-3)

Find slope

It has y intercept (0,-3)

Check A

(3,0) and (0,3)

Option A is correct

Answer:

A

Step-by-step explanation:

Positive slope:  as the x-value increases, the y-value increases.

Negative slope:  as the x-value increases, the y-value decreases.

The slope of the graph is -1

As it has a negative sign, the graph has a negative slope.  

As the slope is -1, this means that for every 1 unit increase of the x-value, the y-value decreases by 1 unit.

The line passes through (0, 3)

When the x-value is zero, the line intercepts the y-axis.  

Therefore, the line will intercept the y-axis when y = 3.

Therefore, the graph of the line that passes through (0, 3) and has a slope of -1 is option A.

[tex]\begin{array}{|l|c|c|c|c|}\cline{1-5} & \sf Graph\:A & \sf Graph\:B & \sf Graph\:C & \sf Graph\:D \\\cline{1-5} \sf slope & \sf negative & \sf negative & \sf positive & \sf positive\\\cline{2-5} \sf & -1 & -1 & 1 & 1\\\cline{1-5} \sf y-intercept & (0,3) & (0,-3) & (0,-3) & (0,3)\\\cline{1-5}\end{array}[/tex]

Answer:

Step-by-step explanation:

Given:

Find the total amount:

Answer:

first one

Step-by-step explanation:

use the vertical line test, and the first one is a quadratic function

Answer:

The first one.

Step-by-step explanation:

By using the vertical line test, you can see that the first one is the only relation that's input's go to only one output.

Step-by-step explanation:

it is a bit unclear to me how the cups are stacked on each other.

are we building a pyramid or is it really just one line of cups stacked into each other ? the equation suggests the latter. so, I will continue with that assumption.

then each additional cup really adds only the height of the rim to the total height of the cup tower.

so, we want to find out for what smallest x is the equation delivering as y value 32,400 or more.

32,400 = 2.4x + 13.6

let's get rid of the decimals by multiplying everything by 10.

324,000 = 24x + 136

323,864 = 24x

x = 323,864/24 = 13,494.33333...

so, we need 13,495 cups to reach its height (just rounding it to 13,494 would still leave a tiny gap, so we need the 13,495th cup - there is no way to reach the height exactly).

Answer:

if 2 length + 2 width is the perimeter, then 2(L+W)=P. if w is 1/3 of L, then W=1/3L, and from there we work back. half of 48 for just one length and one width, we have 24. we want one-third of length+length, so 4 parts. we are left with L=18 and W=6. 18+6=24, x 2= 48. I'm sorry if this was confusing, but I hope this helps!

[tex]\\ \sf\longmapsto 3x-5=70[/tex]

[tex]\\ \sf\longmapsto 3x=70+5[/tex]

[tex]\\ \sf\longmapsto 3x=75[/tex]

[tex]\\ \sf\longmapsto x=75/5[/tex]

[tex]\\ \sf\longmapsto x=15[/tex]

The total amount of money Christian spends to download x xongs is y = 15 + 0.99x.

Christian initially pays $15 to join the music service.

Also, he pays $0.99 for each song he downloads from the service.

If he downloads x songs, the amount extra he pays per song he downloads is price per song × number of songs = $0.99 × x = $0.99x.

This amount is added to the initial $15 he pays to join the service. So, the total amount of money he pays is y = initial amount + extra per song = $15 + $0.99x = $0.99x + $15

So, the total amount of money Christian spends to download x xongs is y = 15 + 0.99x.

Learn more about linear equations here:

https://brainly.com/question/11767839

Answer:

207

Step-by-step explanation:

By counting the amount of numbers to get from -93 to 114, you count a total of 207. This means it takes 207 steps to get from -93 to 114.

When finding the distance between negative and positive numbers you can also add the numbers together to get the total distance between the numbers.

Answer: what ever u said on the answer to one of my questions got deleted lol

Step-by-step explanation:

Answer:

6 eggs

Step-by-step explanation:

since recipe states that to make 12 muffins you need 2 muffins

2. = 12

represent the unknown with x

2. = 12

x. = 36

Then you'll cross multiply

36 × 2 = 72

12x = 72

x = 72 ÷ 12

x = 6

Answer:

In elementary algebra, a trinomial is a polynomial consisting of three terms or monomials.

Answer:

An algebraic expression of three terms

Step-by-step explanation:

A trinomial consists of 3 terms connected to one another by + or - sign(s).

Examples:  x^2 - 2x - 5 is a trinomial:  Its 3 terms are arranged in descending order by powers of x.

Answer:

$875.00

Step-by-step explanation:

You multiply 1250 by .3 to get 375. Then you subtract that from your total to get your sale price. Hope this helps :))

Answer: O AAS Congruence Theorem is your answer

Step-by-step explanation:   plz give brainliest

Answer:

How much is each size balloon-?

Step-by-step explanation:

This is impossible to solve-???

Answer:

d. EDC

Step-by-step explanation:

if you mirror the triangle ABC, it fits perfectly with triangle EDC

Answer:

Sorry I don't know. My advise take the problem step by step.

Step-by-step explanation:

Step-by-step explanation:

a. (8x³ - 5x² + 4x - 5) - (6x³ - 4x² - x + 2)

= 2x³ - 9x² + 3x - 3

hence, remainder distance is 2x³ - 9x² + 3x - 3.

b. (6x - 3y + 4z - 2m) + (4z - 4y + 5x - 2m)

= 11x - 7y + 8z - 4m

hence, (6x - 3y + 4z - 2m) should be subtracted from (11x - 7y + 8z - 4m) to get (4z - 4y + 5x - 2m)

c. (-1x + 6x² - 2) + (2x² - 3 - 2x)

= 8x² - 5 - 3x

now,

(10x² - 5 + 2x) - (8x² - 5 - 3x)

= 2x² - x

therefore, measure of 3rd side of the triangle is 2x² - x.

e. a² + 1a

f. x(6 - 2x) = 6x - 2x²

g. -2ab ( 3ab² + 2a²b ) = -6a²b³ - 4a³b²

h. -3b

I. -2x

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

Answer:

$ 43.25

Step-by-step explanation:

68 - 40% = 40.8

40.8 + 6% = $ 43.25

Answer:7 deadly sins cursed by light

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Pythagorean theorem equation is a²+b²=c²

c is the longest side which is 5. a and b dont matter in this case

3²+4²=5²

9+ 16 = 25..........simply

25 = 25...............true, these numbers form a right triangle