What will be the graph of the circle (x-4)^2+(y+3)^2=16
Answers
Answer:
x + y - 5 = 0
Step-by-step explanation:
(x-4)² + (y+3)² = 16
To remove the square on the left side, we square root both sides
√(x-4)² + √(y+3)² = √16
The square will cancel the square root on the left side, while the square root of 16 is 4
(X-4) + (y+3) = 4
open the brackets
x-4+y+3=4
x + y = 4 + 4 - 3
x + y = 5
x + y - 5 = 0
Related Questions
How do I rewrite the following expression is there a form 1/4 (4x+8) please help me it’s gonna help my grade
Answers
Answer:
You can expand this with this rule:
[tex]a(b+c)=ab+ac[/tex]
Similarly,
[tex]\frac{1}{4}(4x+8) =\frac{1}{4}*4x+\frac{1}{4}*8[/tex]
[tex]\frac{1}{4}*4x+\frac{1}{4}*8=x+2[/tex]
Which system of inequalities is shown?
a.y > x
y > 2
b. y > x
y < 2
c. y < x
y < 2
d. y < x
y > 2
Answers
y < x
y < 2
==================================================
Explanation:
The horizontal line is y = 2 since all points on this line have a y coordinate of 2. Eg: (0,2) and (5,2)
Since we shade everything below this line, we're describing the inequality y < 2. All points in the shaded region for this describe anything with a y coordinate smaller than 2. Eg: (7,1)
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At the same time, we're also shading below the line y = x to form the inequality y < x.
So that's how we end up with this system
[tex]\begin{cases}y < x\\y < 2\\\end{cases}[/tex]
which describes the set of all points below the lines y = 2 and y = x. The dashed lines indicate that points on the boundary do not count as solution points. For example, (5,2) is not a solution because it rests on the upper horizontal boundary.
I'll also give brainliest to the first to answer
1+1=x
A) x=1
B) x=2
C) x=3
D) x=4
Answers
Answer:
B) x = 2
Step-by-step explanation:
1 + 1 = x
2 = x
1 + 1 = 2
A yard is 33.22 m long and 17.2 m wide.
(a) What length of fence must be purchased to enclose the entire yard?
(b) What area must be covered if the yard is to be fertilized? PLEASE HELP FOR A TEST
Answers
Answer:
A. = 100.84 m
B. 571.384 cubic m
Step-by-step explanation:
a.
33.22+33.22+17.2+17.2 =100.84m
b.
33.22x17.2 = 571.384 m2
guys pa help po thank you
Answers
Answer: Should be 90
Step-by-step explanation:
Use the quadratic formula to solve x2 – 3x - 2 = 0
Answers
Answer:
C
Step-by-step explanation:
C
Answer:
c
Step-by-step explanation:
c is the answer to this problem
4−(−8)= please help i need it now
Answers
Answer:
Step-by-step explanation:
The table shows the total amounts y (in thousands of dollars) of money a homeowner saves on electric bills x years after installing solar panels.
a. Write an equation that models the total amount of money saved as a function of the number of years after the solar panels were installed.
y = _______
b. Interpret the slope and y-intercept of the line of fit.
Answers
The slope of the line means that the homeowner saves 1.6 thousand dollars per year while the y intercept means that the cost of installing the solar panels is 12 thousand dollars.
A linear equation is given by:
y = mx + b
where y, x are variables, m is the rate of change, b is the initial value of y (y intercept).
Let y represent the total money in thousand dollar saved for x years.
Taking the points (0, -12) and (20, 20).
The equation is given as:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-(-12)=\frac{20-(-12)}{20-0} (x-0)\\\\y+12=1.6x \\\\y=1.6x-12[/tex]
The slope of the line means that the homeowner saves 1.6 thousand dollars per year while the y intercept means that the cost of installing the solar panels is 12 thousand dollars.
Find out more at: https://brainly.com/question/13911928
4. Jenny sells two types of lanyards, solid color or
striped. She charges more for striped lanyards than
for solid color lanyards. The amount of money, in
dollars, that she collects from selling x lanyards of
one type and y lanyards of the other type can be
modeled by the expression 3x + 5y.
What does the variable y represent in this
situation?
A. The number of solid color lanyards sold.
B. The number of striped lanyards sold.
C. The selling price of one solid color lanyard.
OD. The selling price of one striped lanyard.
Answers
Answer:
The selling price of one striped lanyard
a transversal shown below.
True
or
False
Answers
Answer:
true
Step-by-step explanation:
because i just finished doing this in geometry
PLEASE HELP GIVING BRAINLIEST! :)
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Which is the correct translation of the sentence into an equation?
Four less than a number is 12.
A: n-12=4
B: n-4=12
C: 4-n=12
D: 12-n=4
Answers
Answer:
B
Step-by-step explanation:
n is a number. 4 less then that number translates to n-4, so the answer is B:
n-4=12
Hope that helps! :)
Answer:
C: n-4= 12
Step-by-step explanation:
To understand why this answer is correct, lets break down the sentence.
Four less = [tex]4-[/tex]The part "than a number" can be represented as n as in math, unknown numbers are variables in order to isolate them to and figure out their values. "is 12" will represent the sum of the equation as the sentence is clarifying that that 4 minus the variable n is equal to 12.Revised Answer: n-4=12 is actually the answer as n can be any quantity, and n -4 =12 literally means n + (-4) = 12.
Graph the following features: Slope = 4 Y-intercept = 4
Answers
Answer:
Step-by-step explanation:
Equation of the line
[tex]\\ \sf\longmapsto y=mx+b[/tex]
m=4b=4[tex]\\ \sf\longmapsto y=4x+4[/tex]
A sequence has a common ratio of Three-halves and f(5) = 81. Which explicit formula represents the sequence?
f(x) = 24(Three-halves) Superscript x minus 1
f(x) = 16(Three-halves) Superscript x minus 1
f(x) = 24(Three-halves) Superscript x
f(x) = 16(Three-halves) Superscript x
Answers
Answer:
f(x) = 16*(3/2)^(x-1)
Step-by-step explanation:
See attachment.
Answer:
B
Step-by-step explanation:
832.078107648 to the nearest whole number.
Answers
A pancake recipe calls for one egg for every three cups of flour. How many cups of flour do you need for four eggs?
Answers
Answer:
its multiplication 4 times 3 the product is 12
Step-by-step explanation:
(-1, 5) (3,y) m=5 whats the value of my and whats the slope <3
Answers
Answer:
slope: 5
y = 25
Step-by-step explanation:
slope is m, and m = 5, so slope is 5.
y-5=5(x+1)...........set up point slope form
y-5=5x+5............distribute 5
y=5x+10..............add 5 to both sides
y=5(3)+10............plug in 3
y=25.....................simplify
Step-by-step explanation:
I am not sure you posted the question correctly.
m is the slope already. this comes from the point slope form
y - y1 = m(x - x1)
where x1, y1 are the coordinates of a point on the line.
so, the slope is 5 (and cannot be <3).
so, using the first point we get
y - 5 = 5(x - -1) = 5(x + 1) = 5x + 5
therefore
y = 5x + 10
for (3, y) we put 3 in as x
y = 5×3 + 10 = 15 + 10 = 25
it is (3, 25) for m = 5.
PLEASE HELP!!
100 POINTS
5^a = 2^b = 10, what is a^-1 +b^-1
Answers
Answer:
1.
Step-by-step explanation:
5^a = 10
a log 5 = log 10
a log 5 = 1
a = 1 /log 5
a^-1 = log 5
In the same way:
b = 1 / log 2
b^-1 = log 2,
So a^1 + b^-1 = log5 + log 2 = log (2*5)
= log 10
= 1.
15
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
What value of p makes the equation true?
–3p +1/8 = -1/4
p=
Reset
Next
Answers
Answer:
[tex]p=\frac{1}{8}[/tex]
Step-by-step explanation:
[tex]-3p+\frac{1}{8}=-\frac{1}{4}[/tex]
Subtract [tex]\frac{1}{8}[/tex] from both sides:
[tex]-3p=-\frac{1}{4}-\frac{1}{8}[/tex]
Multiply [tex]\frac{1}{4}[/tex] by [tex]\frac{2}{2}[/tex] and simplify:
[tex]-3p=-\frac{3}{8}[/tex]
Divide both sides by -3:
[tex]p=\frac{3}{24}[/tex]
Simplify:
[tex]p=\frac{1}{8}[/tex]
Find five rational numbers between ⅗ and ⅘.
Answers
Answer:
2/3, 3/4, 7/10, 11/17, 13/17
Step-by-step explanation:
Johnny ate seven apples, his bus comes around 3 in the morning, the neighbors dog took a dump on the ground weighing 2.67 kilograms. Whats the mass of the sun??
Answers
Answer:
mass if the sun is 123
Step-by-step explanation:
I saw the dog take a dump
help me on this please
Answers
Answer:
1: AOB is 180 degrees 2: AOF + FOG = 180 degrees 3: 60 + 90 + 30 + 180 4: x = 15
Step-by-step explanation:
x = 15
Add up 5x - 15 + 90 + 2x = 180 degrees
FOG = 90 degrees (right angle)
Combine like terms to get 7x + 75 = 180
subtract 75 on both sides to get 7x = 105
Divide both sides by 7 to isolate x to get x = 15
Substitute 15 for every x you see so 5(15) - 15 and 2(15)
5(15) - 15 = 60
2(15) = 30
Hope this works!!! :)
A parking garage charges $5. 50 to park for 4 hours and $7. 75 to park for 7 hours. If the cost is a linear function of the number of hours parked, what is the cost to park for 3 hours? $2. 25 $2. 50 $3. 25 $4. 75.
Answers
Step-by-step explanation:
So we are given 2 coordinates.
so in a linear equation, we have the given function:
y=mx+b
thus we should have an x value and a y value.
So let's set x to be the hours and y be the cost
With 2 sets of coordinates, we can solve for the slope (m in the function) of the function using rise/run or y1-y2/x1-x2
so with that being said,
7.75-5.5/7-4=m
2.25/3=m
.75=m
This is our slope.
Our formula will look like this: y=0.75x
Now we can determine how much it will cost in 3 hours by changing x to be 3 since x is the number of hours parked
y=0.75(3)
y=2.25
The cost to park for 3 hours will be $2.25
Hope This Helps :D
What is 9% as a fraction or mixed number in simplest form?
Answers
Answer:
9/100
Step-by-step explanation:
9×100 = 9/100 I think
I need some help please
Answers
The length is 5 units.
Nikola buys a bouquet of 8 sunflowers for $18
what is the cost for 1 sunflower?
Answers
Which linear equation represents a line with a slope of -7 and a y-intercept of 12
Answers
Answer:
Answer → y = -7x + 12
Step-by-step explanation:
General equation of a line:
[tex] \hookrightarrow \: { \tt{y = mx + c}} \\ [/tex]
m is the slopec is the y interceptFrom the question;
m is -7
c is 12
[tex]{ \tt{y = - 7x + 12}}[/tex]
The table below shows a proportional relationship. True or False?
Answers
Answer:
True
Step-by-step explanation:
what is 3(a+b)-2(a-b)
Answers
Answer:
a + b
Step-by-step explanation:
3(a+b)-2(a-b)
=> 3a + 3b - 2a - 2b
=> a + b
Therefore, a + b is our answer
Answer:
a + 5b
Step-by-step explanation:
3(a + b) - 2(a - b) ← distribute both parenthesis
= 3a + 3b - 2a + 2b ← collect like terms
= a + 5b
Two sisters share an inheritance of $1 million by a ratio of 2:3. How much does each sister inherit
Answers
Answer:
$400,000 and $600,000
Step-by-step explanation:
2x = one sister amount
3x = the other sister amount
Total money = $1,000,000
5x = 1,000,000
x = 1,000,000/5
x = 200,000
2x = 2(200,000) = $400,000
3x = 3(200,000) = $600,000
Check: one sister amount + the other sister amount = $1, 000,000
$400,000 + $600,000 = $1,000,000
ratio 2:3=2+3=5
so the first sisters share is
(2/5×1,000,000)
=200,000×2
=400,000.....thats the first sisters share
so....the second sister's share is
(3/5×1,000,000)
=3×200,000
=600,000.....thats the second sisters share
and to check if your answer is correct
you can add both of their shares
600,000+400,000=1,000,000.
there are 50 students in a class and 30 of these students passed their social studies test. what percentage of these students passed their test.
Answers
Answer: 60 %
Step-by-step explanation:
Percentage of students passed the test = (number of students who passed the test / total number of students) x 100
= 30 / 50 x 100 % = 60 %