Answer:
(-1.875, -1.625)
Step-by-step explanation:
We want to find the point on the equation 2*x + 6*y + 1 = 0 which is closest to the point (-5, -3)
Remember that the distance between two points (a, b) and (c, d) is:
D = √( (a - c)^2 + (b - d)^2)
First we can write our equation as a line in the slope intercept form:
y = -(2/6)*x - 1
Now we could minimize the equation:
D = √( (x - (-5))^2 + (y - (-3))^2) = √( (x + 5)^2 + (y + 3)^2)
D = √( ( x + 5)^2 + ( -(2/6)*x - 1 + 3) ^2)
Then we can minimize:
D^2 = (x + 5)^2 + ( -(2/6)*x + 2)^2
= x^2 + 10*x + 25 + (4/36)*x^2 - (8/6)*x + 4
= (1 + 4/36)*x^2 + (10 - 8/6)*x + 29
= (40/36)*x^2 + (52/6)*x + 29
This is a quadratic equation whose leading coefficient is positive, then the minimum of this equation is at the vertex.
The vertex is at the x-value such that (D^2)' = 0
Then:
(D^2)' = 2*(40/36)*x + (52/6)
This needs to be zero then:
0 = 2*(40/36)*x + (52/6)
-52/6 = (80/36)*x
(-52/6)*(36/80) = x
-1.875 = x
And the y-value when x = -1.875 is:
y = -(2/6)*-1.875 - 1
y = -1.625
Then the point on the line 2x+6y+1=0 that is closest to (-5,-3) is the point (-1.875, -1.625)
If a new sweater sells for $53 find the total cost if you are charged 5% sales tax. Round your answer to the nearest cent
Answer:
$55.65
Step-by-step explanation:
you would find 5% of 53 which is $2.65 and then add that to your original price so 53 + 2.65 = 55.65
find the value of each variable or indicated measures
Answer:
Step-by-step explanation:
To find the angle measure of an angle inside an arc then you multiply 1/2 by the sum of the 2 intercepted arcs.
x=1/2(42+56)
x=1/2(98)
x=49
(-42% - 27) - (-34x + 33)
What are indications of a computer hardware problem? Check all that apply.
The printer is printing in black and white.
The keyboard keys are getting stuck.
plz
The computer monitor is going blank.
The pointer of the mouse freezes.
The images on the monitor look sharp.
Step-by-step explanation:
the answer is the keyboard keys getting stuck, it's something you can touch and feel, thus it's an hardware problem
Answer:
The printer is printing in black and white
Step-by-step explanation:
if the area of the base of a cylinder is 36 square inches, and the height is 12 inches, then which expression represents
he volume of the cylinder?
At a part-time summer job, Luiz earn $10.10 per hour. Which equation can be used to find how many
hours he must work to earn $232.30?
A. 232.30x - 10.10
B. 10.10x - 232.30
C. 10.10+ x - 232.30
D. x - 10.10+232.30
Answer:
I would say it is B
Step-by-step explanation:
Because to find the value of x, you would need to divided 232.30 by 10.10, you have to use the opposite for algebra so the opposite is multiplication.
Angela is helping her father paint a fence. She can paint 3 sections of the fence in 25 minutes. How many minutes will it take Angela to paint 12 sections of this fence?
Answer:
100 Minutes.
Step-by-step explain:
25 divided by 3 = 8.33333333333, So, 8.3 minutes to paint one section at a time. So, 8.3 x 12 = 99.6. So, 99.6 rounded since the last number is higher than 5 it would go to the next number. So, rounded its 100 minutes. 100 minutes for Angela to paint 12 sections.
7^5 / 7^2 =345
true or false
Answer:
False
The answer is 343 not 345
Step-by-step explanation:
7^5 / 7^2 =
16807 / 49 =343
Answer:
False.
7⁵ ÷ 7²
= 7⁽⁵⁻²⁾
= 7³
= 343
Please help me with this :(
4x/3=8 what is x? PLEASE HURRY DUE TOMORROW!!!!!!
Step-by-step explanation:
4x=3×8
4x=24
x=24÷4
x=6
Damian took out a car loan for $10,500 that has a 0% APR for the first 12
months and will be paid off with monthly payments over 3 years. For how
many months will Damian be charged interest?
O A. 12 months
O B. 48 months
C. 36 months
O D. 24 months
24 months is the correct answer
Damian will be charged interest for 24 months.
What is unit conversion?It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.
We are given that Damian took out a car loan for $10,500 that has a 0% APR for the first 12 months and will be paid off with monthly payments over 3 years.
We know that;
1 year = 12 months
Using this conversion we get;
3 year = 36 months
It means total number of months in 3 years is 36. For first 24 months the APR is 0%. So, the number of months will Damian be charged interest is
36 - 12 = 24
Therefore, the correct option is D. 24 months
Learn more about the unit conversion here:
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If a=35, find the value of X.
Answer:
cCompute the value of x if angle a=35 ° angle b=45° angle c=50°. 2. See answers. Log in to add comment. Answer. 2.3/5. 2. 123jiya73. Helping ...
Any help would be great!!! Thank you
Answer:
D. ∆ABC ~ ∆DEF
Step-by-step explanation:
The triangles given shows that the three corresponding angles of both triangles are congruent to each other. This means that they have the same shape but different size.
Triangles that are congruent to each other have the same shape and the same size while triangles that have the same shape but different size are similar to each other.
Therefore, ∆ABC is similar to ∆DEF (∆ABC ~ ∆DEF).
Please help it's a pretty quick question, and will take only a bit of your time. Thanks!
Answer:
1. 10.625
2. 11
3. 11
Step-by-step explanation:
what is the value of x?
Answer:
can be anything
Step-by-step explanation:
there's no context
Answer:
The letter "x" is oftenly used in algebra to mean the value that not shown yet it is even called a variable or sometimes even unknown in example x+5=10 , the 'x' is the variable.
I hope this will help u
If 4(x – 3) + x = –2x + 10, what is the value of x?
Answer:
x=22/7
Step-by-step explanation:
4x-12+x=-2x+10
5x-12=-2x+10
5x=-2x+10+12
5x=-2x+22
5x+2x=22
7x=22
x=22/7
What is the mean of the data set 85 97 84 88 95 81
Answer:
88.3 (3 is repeating)
Step-by-step explanation:
to calculate the mean of a data set you add together all the numbers and then divide that by the number of numbers there are, sorry if that's confusing
example:
85+97+84+88+95+81=530
530/6=88.3
Answer:
d .88
Step-by-step explanation:
hope this helps
Help me answer this PLEASE!
Answer:
B
Step-by-step explanation:
35 percent answer the quiz correctly
Which of the following Expressions is equivalent to 25+6x-10(x+2)
Answer:
bxbdbdbdbhd
Step-by-step explanation:
$2200jfjfjffjfodod/month
Express this as a difference: 7+3 PLEASE HELP
Answer:
Step-by-step explanation:
How much fabric is needed to make a tent in the shape of a triangular prism with the following measures?
Answer:
C) 273 ft²
Step-by-step explanation:
7x11x3=231
2x1/2x7x6=42
231+42=273
To carry a bag of 50kg rice at the distance of 4
km a porter charges Rs.75. How much does the
porter charge at the same rate to carry a bag of
80kg rice to the distance of 10km?
b. 500
d. 700
a. 400
c. 600
Answer:
The porter charges Rs 300 at this rate.
Step-by-step explanation:
We solve this question by proportions, using rule of three.
75 Rs - 4 km - 50 kg
x Rs - 10 km - 80 kg
Relationship between the variables:
As the distance, or the weight increase, the rate will increase. This means that:
[tex]\frac{75}{x} = \frac{4*50}{10*80}[/tex]
[tex]\frac{75}{x} = \frac{200}{800}[/tex]
[tex]\frac{75}{x} = \frac{2}{8}[/tex]
[tex]x = \frac{75*8}{2} = 75*4 = 300[/tex]
The porter charges Rs 300 at this rate.
can someone help me with this
I need help fast. Please help me
Answer:
The answer is A, the first one 3÷1/3 =9
What’s the answer to this?
I have no idea how to do it
Answer:
0
Step-by-step explanation:
f(x) = y
To find f(2), it means to find the value of y when x = 2.
From the graph, when x = 2, the corresponding y-coordinate = 0.
Therefore,
f(2) = 0
If x represents the age of the father and
y represents the present age of the son,
then the statement for 'present age of
the father is 5 more than 6 times the
age of the son' in terms of a
mathematical equation is *
Answer:
x = 5+6y
Step-by-step explanation:
Let x represents the age of the father and y represents the present age of the son.
ATQ,
The present age of the father is 5 more than 6 times the age of the son. We can write it in the form of equation as follows :
6 times the age of the son means 6y. So,
x = 5+6y
Hence, the mathematical equation is "x = 5+6y".
"What is Limit of h (x) as x approaches 10 plus?"
As x → 10 from above, h(x) is steadily approaching 18.5.
According to the table, the limit of h (x) as x approaches 10 plus is 18.5
How to determine the limit value?From the table, the value of the function at x = 10 is:
h(10) = undefined
As x exceeds x = 10, the function values become:
h(x+) = 18.5......
When approximated, we have:
h(x+) = 18.5
Hence, the limit of h (x) as x approaches 10 plus is 18.5
Read more about limits at:
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I WILL GIVE BRAINLIEST! PLEASE HURRY
Answer:
it's the thrid one as 30% is correct
Answer:
More than 30% of the students surveyed chose Red as their favorite color
Step-by-step explanation:
Write a division expression with a quotient that is: a. greater than 8÷0.001 b. less than 8÷0.001 c. between 8÷0.001 and 8÷ 1 10
Solve for x and find the measure of Angle D.
A
(6x + 1)
(4x + 15)
X=
Angle D =
degrees