The distance from G(-3, -1) to the line whose equation is y = 4 is; d = 5
How to find the Distance of a Line?
We are given the coordinate of point G as G(-3, -1).
We want to find the distance between that coordinate and the line y = 4.
Comparing the line with the equation Ax + By + C = 0 gives;
B = 1 and C = -4
Now, Equation for distance between line and coordinate axes points is;
d = |Ax + By + C|/√(A² + B²)
Thus;
d = |0(-3) + 1(-1) - 4|/√(0² + 1²)
d = |-5|
Since absolute value, then d = 5.
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In an alloy of gold and silver the ratio of the amount of gold to the amount of silver is 2:5. What is the weight of silver in the alloy if there are 18g of gold?
Answer:
45
Step-by-step explanation:
equate the two equations
2/5=18/x
Answer:
45grams
Step-by-step explanation:
Area =
44 ft?
(x - 12) ft
(x - 5) ft
length:
width:
ft
Answer:
x= 16 ft
length = 4 ft
width = 11 ft
Step-by-step explanation:
The area is length* width
so the length is ( x - 12 )
and the width is ( x - 5 )
the area is 44ft
so now set up an equation and solve for x
( x - 12 ) ( x - 5 ) = 44
distribute
x^(2) - 17x + 60 = 44
inverse operations
x^(2) - 17x + 60 = 44
- 60 - 60
x^(2) - 17x = -16
factor
x^(2) - 17x = -16
x ( x - 17 ) = -16
now it is pretty clear that the answer is:
x = 16
just substitute it into the equation and check
( x - 12 ) ( x - 5 ) = 44
( 16 - 12 ) ( 16 - 5 ) = 44
( 4 ) ( 11 ) = 44
44 = 44
this also shows that
the length is 4
because:
( x - 12 )
= ( 16 - 12 )
= 4
and the width is 11
because:
( x - 5 )
= ( 16 - 5 )
= 11
The sixth-graders at Scott's school got to choose between a field trip to a museum and a field trip to a factory. 57 sixth-graders picked the museum. If there are 100 sixth-graders in all at Scott's school, what percentage of the sixth-graders picked the museum?
Answer:
57%
Step-by-step explanation:
because percentages go up to a hundred so 57 would be 57%.
Answer:
57%
Step-by-step explanation:
The answer is 57%. The reason is because when we are talking about percentage, it always out of 100. 57 out of 100, you would make that into a fraction so it would be 57/100. You would then divide 57/100 to get 0.57. Move the decimal two places to the right to get 57%.
How old am I if 200 reduced by 4 times my age is 56
Answer:
Um, Reduce means divide sooo.... I think you'd be 100?
Step-by-step explanation:
What is 4/5 divided 1/3
Write down the gradient of the line y =-4r+7.
which time has the definition the location where the X and Y axis intersect the ordered pair is (0,0)"? A Ordinate B Abscissa C Origin D Quadrant
PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((
Answer:
-3.21
Step-by-step explanation:
If you pay close attention the numbers are 5 points away from each other, so after -3.2 is -3.21! Hope that helped love :)
A certain brand of MP3 player will display how long it will take to play through its entire music library.If the maximum number of songs the MP3 players can hold is 1,000 (and the average song length is 4 minutes), would you want the time displayed in terms of seconds, days, or years worth of music?
Answer:
I think that days is the most reasonable, sorry if I'm wrong
Step-by-step explanation:
So if you had 1,000 songs and each was 4 minutes, the amount of minutes would be 4*1000 minutes, or 4000 minutes.
4000 minutes = 240000 seconds
4000 minutes = 2.77777... days
4000 minutes = 0.007610350684932... years
Simplify the given expressions.
(7−2)2−(2+1)(2−5)
The answer is 19. ( i think)
How is the results?
Answer:
[tex]26^9[/tex]
Step-by-step explanation:
When you multiply powers with the same bases, you just add up the powers. In this case, it would be:
[tex]26\cdot28^8\\=26^1\cdot28^8\\=26^9[/tex]
Which of the following options have the same value as
5% of 352
Choose 2 answers:
y=3x+22
x is equal to 225
9514 1404 393
Answer:
y = 697
Step-by-step explanation:
Put the value of x into the equation and do the arithmetic.
y = 3·225 +22 = 675 +22
y = 697
multiply. Express your answer in the simplest form
Please help guys this has to be do in 10:00 please help
Answer:
1)14oz
2)28oz
Step-by-step explanation:
1) To find the amount of water is left in the bottle you want to substract 1/3 so the first thing you want to do is find what 1/3 of 42 is. So do this: (This is also 42/3)
42*1/3=14
So we now know that 14 is 1/3 of 45 which is the first answer. To find the second answer you want to substract 14 from 42 which is 28.
So that means she has 28 oz of water left when she gets there.
AAAAAAAAAAAAAAAAAAHHHHHHHHHHHH
Answer:
-216
Step-by-step explanation:
I think
brainlist plz
Can someone please help, ty!! (Will mark brainliest)
Answer:
Its the first one!!
Have A Nice Day!!!!!!
:)
Describe how the values of a and k affect the graphical and tabular representations of the functions y=ax^2, y=x^2+k, and y=ax^2+k.
Step-by-step explanation:
Describe how the values of a and k affect the graphical and tabular representations of the functions y=ax^2, y=x^2+k, and y=ax^2+k.
The elevation of a sea animal is -20 what is elevations tat are greater than the elevation of the sea animal?
Answer:
20
Step-by-step explanation:
Answer:
-10, 0, 10, 20, 30, etc.
Step-by-step explanation:
There are multiple elevations greater than -20
If you add +10 you will get closer to the positives. Any positive is greater than -20, EVEN 0!
Solve for r.
r + 7 < 6 or r + 8 > 18
Write your answer as a compound inequality with integers.
Make a table for the function. You will be using your table to graph on the next pro y - 2x + 3 Domain:{-3, -1, 0, 2} х y - 1 0 2
[tex]For \: x = -1 , y = 2(-1) + 3 = 1 [/tex]
[tex]For \: x = 0, y = 2(0) + 3 = 3[/tex]
[tex]For \: x = -3, y = 2(-3) + 3 = -3[/tex]
[tex]For \: x = 2, y = 2(2) + 3 = 7 [/tex]
Evaluate each expression if f= -6,9=7, and h=9. 10. g -7 11.-h-(-9) 12. f-g
Answer: 10
Step-by-step explanation:
if u take -6 and add it to 9 and 7 u get 10
2 An art studio charges $65 per month for art lessons. There is also an additional supply fee of $25 at the time of registration. Which equation best describes the total cost, c, given the number of months, m?
Answer:
The equation should be, 65m+25=c
Answer: it’s going to be c=65m+25
Step-by-step explanation:
what’s the decimal expansion of 4/11
Answer: 0.36363636
Step-by-step explanation:
Miguel works for a company that installs and repairs dishwashers. Last week he installed 3 and repaired 4 dishwashers. What is the ratio of Miguel’s total jobs to dishwashers that he repaired?
Answer:
ewhyfreu62
Step-by-step explanation:
Hom many TOTAL atoms are presented in H4Mg3Si2O9?
Answer:
I'm pretty sure it would be 18 total atoms.
Step-by-step explanation:
4+3+2+9=18
Anya purchased $124.35 worth of home improvement items at the hardware store. If the sales tax rate in her city is 6.75%, what is the total cost of her purchase!
Answer:
124.35 X 6.75
Step-by-step explanation:
The total cost of Anya's purchase of home improvement hardware is 132.74 dollars.
What is percentage?
The percentage is the value per hundredth.
It is given that, the sales tax is 6.75% which is not there in the home improvement hardware which cost 124.35 dollars to Anya.
The total cost of purchase including the sales tax is ( 100 + 6.75)% = 106.75% of 124.35 dollars which is,
= (106.75/100)×124.35 dollars.
= 1.0675×124.35 dollars.
= 132.74 dollars.
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Dylan solved the following problem:
258
34
X
----------------------------
1032
+ 774
-------------------
Aubrey says that Dylan is incorrect. What was Dylan’s mistake? What could you do to fix it? Explain your thinking
Please help ASAP
is multiplication of 258 into 34 was incorrect the answer to 138 into 34 was 8772 so on adding 774 to 8772 it will be 9546
Silvi has a coupon for $5 off any one item at her favorite store. She must pay 6% sales tax on the discounted price. Which of the following functions represents Silvi's final cost, c, for an item with an original price of x dollars?
Answer:
vz
Step-by-step explanation:
The requried function that represents Silvi's final cost for an item with an original price of x dollars is c(x) = 1.06x - 5.3.
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
Let's break down the problem into steps to determine the function that represents Silvi's final cost:
Apply the $5 discount to the original price x:
New price = x - 5
Calculate the amount of sales tax on the discounted price:
Sales tax = 0.06 * (x - 5)
Add the sales tax to the discounted price to get the final cost:
Final cost = (x - 5) + 0.06 * (x - 5)
Simplifying this expression, we get:
Final cost = 1.06x - 5.3
Therefore, the function that represents Silvi's final cost for an item with an original price of x dollars is c(x) = 1.06x - 5.3.
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As Mexican troops drew closer to the Alamo, the Texans ________________.
a.
retreated to smaller quarters within the mission chapel
b.
sent word to Gonzales for reinforcements
c.
sent word to the United States requesting statehood
d.
suffered a rebellion from within the fort
Answer:
b
Step-by-step explanation:
Answer:
B
Step-by-step explanation: I took it on a test and got it right