The simplified equation of [tex](x - 10)^2 + (y- 6)^2 = 4^2[/tex] is [tex]y = 6+ \sqrt{16 - (x - 10)^2}[/tex]
How to determine the simplified equation?The complete question is added as an attachment
The equation is given as
[tex](x - 10)^2 + (y- 6)^2 = 4^2[/tex]
Subtract (x - 10)^2 from both sides
[tex](y- 6)^2 = 4^2 - (x - 10)^2[/tex]
Evaluate 4^2
[tex](y- 6)^2 =16 - (x - 10)^2[/tex]
Take the square root of both sides
[tex]y- 6= \sqrt{16 - (x - 10)^2}[/tex]
Add 6 to both sides
[tex]y = 6+ \sqrt{16 - (x - 10)^2}[/tex]
Hence, the simplified equation of [tex](x - 10)^2 + (y- 6)^2 = 4^2[/tex] is [tex]y = 6+ \sqrt{16 - (x - 10)^2}[/tex]
Read more about simplified equation at:
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Your class earned $120.00 Saturday afternoon by washing cars to raise money for the class trip. This is 1/4 of the money needed for the trip. What is the total amount needed?
Answer:
$360.00
(I hope this was helpful)
You deposit $1,600 in a bank account. The account pays 3% annual Interest compounded monthly. Find the balance after 5 years
Step-by-step explanation:
step 1. let's call the amount of money A, the initial amount P, the yearly rate r, the number of compounds per year n.
step 2. A = P(1 + r/n)^(nt)
step 3. A = 1600(1 + .03/12)^((12)(5)
step 4. A = 1600(1.0025)^(60)
step 5. A = $1858.59
¿Sera cierto que existe una fraccion con numerador 20 equivalente a la fraccion 100/55?Justifica tu respuesta
Answer:
si porq si porq si si dices si es si
In the figure shown the sum of the measures yxz and wxv is 75 degrees . what is the measure of zxw
Answer: 105 = WXZ
Step-by-step explanation:
180 = WXZ + 75
subtract both sides by 75 and you get WXZ is equal to 105
I'm not 100% sure, lmk if I'm wrong
in a survey about favorite breakfast foods 3/8 of those surveyed chose cereal,0.125 chose yogurt 0.1875 chose fruit and 5/16 chose toast wihch food got least numbers of votes
cereal is the least amount of numbers
rewrite 1/2 3/4 as a unit rate
Answer: 3 / 8
Step-by-step explanation:
Answer:
The answer is 6:1
Step-by-step explanation:
What is the next term of the geometric sequence?
20, -10,5,
Answer:
0
Step-by-step explanation:
Answer: -2.5
Step-by-step explanation:
a glass jar has 64 chocolate. mark, dave and ralph will share the chocolate in the ratio of 1:1:2, how many chocolates will each one of them get?
Step-by-step explanation:
64/(1+1+2)
= 64/4
= 16
1 : 1 : 2
mark = 1×16 = 16
dave = 1×16 = 16
ralph = 2×16 = 32
Step-by-step explanation:
hope it helps
please rate
Find the length of y
Answer:
25 cm
Step-by-step explanation:
There are 9 counters in a bag.
7 of the counters are green.
2 of the counters are blue.
Ria takes at random two counters from the bag.
Work out the probability that Ria takes one counter of each colour.
Radius is 8 ft. whats the answer
Answer:
Area = 64pi, Circumfrence=2pi(8)
Step-by-step explanation:
Answer:
Depends. Down below.
Step-by-step explanation:
It depends.
Area of the circle = [tex]\pi[/tex] x [tex]8^{2}[/tex] ≈ 201.06 ft
Circumference of the circle = 2 x [tex]\pi[/tex] x 8 ≈ 50.27 ft
Write a rule for the linear function shown in the graph.
y = 4x – 3
y = –x + 4
y = 2x + 5
y = 1/4x +1
Answer: Answer is A. y = 4x - 3
Graph the line using the slope and y-intercept, or two points.
Slope: 2/ 5
y-intercept: ( 0 , − 1 )
x y
0 − 1
5/ 2 0
Step-by-step explanation:
How do you graph y=4x-3?
In graphing an equation, a very valuable graphing technique is the ability to recognize the kind of graph that a certain type of equation produces.
Any equation that is of the form y = mx + b is in the "slope-intercept" form for the equation of a straight line, where x and y are variables, where “m” is a real number representing the slope of a line, and where “b” is a real number representing the y-intercept of a line , i.e., the y-coordinate of the point of intersection between a straight-line graph and the y-axis.
Since the given equation y = 4x ‒ 3 is in the slope-intercept form, where m = 4 and b = ‒3, then it’s a linear equation and its graph is a straight line. Also, looking at the given equation, we know that the independent variable x can take on any real number as a replacement.
Now that we know that the graph of the given equation is a straight line and that there are no restrictions on the variable x, we need to determine and then draw the straight-line graph on a Cartesian (rectangular) coordinate system with the y-axis as the vertical axis and the x-axis as the horizontal axis. We know that two points determine a straight line; So, all we need to do is find the point where the straight-line graph of the given equation y = 4x ‒ 3 intersects the x-axis, i.e., the point of the x-intercept, and find the point where the straight-line graph of y = 4x ‒3 intersects the y-axis, i.e., the point of the y-intercept. Also, it would be a good idea to plot a third point as a check.
(1.) Determining the point of the x-intercept:
For any point on the x-axis, the y-coordinate is zero; therefore, in our given equation, let y = 0 and solve for x as follows:
y = 4x ‒3
0 = 4x ‒3
0 + 3 = 4x ‒3 + 3
(1/4)(4x) = (1/4)(3)
x = 3/4
Therefore, the x-intercept is x = 3/4, and the graph of the given equation y = 4x ‒3 intersects the x-axis at the point (3/4, 0).
(2.) Determining the point of the y-intercept:
To get the y-intercept, we can simply select it from the given equation y = 4x ‒3 which is already in slope-intercept form (y = mx + b), i.e., y = 4x ‒3 or y = 4x + (‒3); therefore, the y-intercept of the straight-line graph of the given equation is y = b = ‒3, which is the y-coordinate of the point of intersection between the straight-line graph of the given equation and the y-axis. Also, for any point on the y-axis, the x-coordinate is zero; therefore, the straight-line graph of the given equation intersects the y-axis at the point (0, ‒3).
(3.) Check Point
In generating a third point as a check point, choose a convenient value for x so that the corresponding value for the dependent variable y is nice and even. Let x = 2, then:
y = 4x ‒3
= 4(2)‒ 3
= 8 ‒ 3
y = 5
Consequently, the third point (check point) on the straight-line graph of the given equation is (2, 5).
(4.) Plot the points
Now, create the straight-line graph of the given equation by plotting the three points: (3/4, 0), (0, ‒3), and (2, 5) on a Cartesian (rectangular) coordinate system, and then use a straight edge to draw the straight line through all three plotted points. Draw the line past the two outer points and then draw an arrowhead at each “end” of the line to show that the line goes on indefinitely in both directions. NOTE: If the third point (2, 5)(the check point) is not on the drawn line, then go back and look for an error. The error was either made in finding the x- and y-intercepts, or the error was made in generating the coordinates of the check point, or both. When the error is found, make the appropriate correction(s), and then redraw the graph (straight line) of the given equation.
These are four steps that you can use to graph the given equation y = 4x ‒3 or any equation that is in the slope-intercept form for the equation of a straight line: y = mx + b.
PLZ HELP FAST IM CONFUSED
Find the 10th term of the following geometric sequence.
2, 6, 18, 54,
.
Step-by-step explanation:
the formula to calculate number of terms in GP is : TN=a×r^n-1
Mrs. Hanson has a potato salad recipe that calls for 238 pounds of potatoes, but she wants to make 112 times as much as the recipe calls for.
The diagram represents the number of pounds of potatoes that Mrs. Hanson needs.
How many pounds of potatoes does Mrs. Hanson need?
Enter your answer as a mixed number in simplest form by filling in the boxes. please hurry dont say what to add or mutply say the answer i am on k12
Answer:
3 9/16 lbs
Step-by-step explanation:
took quiz
What is the area of the composite figure
Answer:
32
Step-by-step explanation:
ddd345
A medical provider is doing a study to determine the average time spent waiting before an appointment. The current average wait time is 34 minutes, which is 15% shorter than the average was when the study started. What was the average wait time then?
Answer:
39.1 minutes
Step-by-step explanation:
Given that:
Current wait time = 34 minutes
Current wait time is 15% shorter than average wait time when study started.
Average wait time when study started :
15% of current wait time :
0.15 * 34
= 5.1 minutes
Average wait time when study started :
34 minutes + 5.1 minutes
= 39.1 minutes
filipino.munting gamogamo.malaking gamugamo
Answer:
i Don't understand what ur saying
Step-by-step explanation:
Answer:
Nagtatanong ka ba? kung ganun ano yun
please help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! will give brainliest!!!!!!
Answer:
X is 40
Step-by-step explanation:
Look it up
The candy store has a stock of candy. They have 15 bags of tootsie rolls, 10 boxes of nerds, 12 bags of gummy
bears, 5 bags of M&M's and 22 bags of skittles. Find the ratio of tootsie rolls to total candy in the store. Be sure
to simplify
Answer:
15:49
Step-by-step explanation:
15 : 10+12+5+22
15 : 49
Can't be simplified further.
How do you solve -8 -x = x -4x
Answer:
hey there
x = 4
Step-by-step explanation:
Let's solve your equation step-by-step.
−8−x=x−4x
Step 1: Simplify both sides of the equation.
−8−x=x−4x
−8+−x=x+−4x
−x−8=(x+−4x)(Combine Like Terms)
−x−8=−3x
−x−8=−3x
Step 2: Add 3x to both sides.
−x−8+3x=−3x+3x
2x−8=0
Step 3: Add 8 to both sides.
2x−8+8=0+8
2x=8
Step 4: Divide both sides by 2.
2x/2 = 8/2
x= 4
have a good day!!!
Answer:
x= 4
Isolate the variable by dividing each side by factors that don't contain the variable.
-2x + 4 = -3x + 4
3
One Solution
No Solution
Infinite Solutions
Answer:
X=0 or no solution
Step-by-step explanation:
-2x+4=-3x+4
cancel equal terms on both sides of the equation
-2x=-3x
move the variable to the left-hand side and change its sign
-2x+3x=0
collect like terms
x=0
5/2k+1=-9
What does k equal?
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
If you mean,
[tex] \frac{5}{2k} + 1 = - 9[/tex]
Then the answer would be,
[tex]k = - \frac{1}{4} [/tex]
But, if you mean
[tex] \frac{5}{2} k + 1 = - 9[/tex]
Then the answer would be,
[tex]k = - 4[/tex]
give all relationships between angle 1 and angle 2 select all that apply
Answer:
vertical maybe if try it and see
Deepak is a landscaper who charges $30 for each job he does plus an additional $15 for each hour he works. He only accepts jobs if he will earn at least $90 per job. He writes this inequality to determine x, the number of hours he must work during each job in order to accomplish this.
30 + 15 x greater-than-or-equal-to 90
Which best describes the restrictions on the jobs Deepak will accept?
He only accepts jobs that last 4 or more hours.
He only accepts jobs that last 5 or more hours.
He only accepts jobs that last 8 or more hours.
He only accepts jobs that last 9 or more hours.
Answer:
4 or more hours
Step-by-step explanation:
I just took the test
What is the difference from congruent figures and similar figures
Answer:
similar = only the angles are the same
congruent = angles and sides are the same
Tell weather each pair is parallel, perpendicular, or neither: y= 3x + 2 2y= 6x -6
-(7p+6)-2(-1-2p) what is that simplified pls help! And explain
Answer:
-3p-4
Step-by-step explanation:
-(7p+6)-2(-1-2p)
-7p-6+2+4p
-7p+4p-6+2
-3p-6+2
-3p-4
Determine the length of PN and the value of y
Answer:
Side PN=26
y=16
Step-by-step explanation:
I put a photo of my work. It’s easier to do that then to try and put it all in words
Drag the top of the rectangle up and down in the tool below to explore the
functional relationship between the two shapes.
The ? is a function of the ?
Answer:
A.
Step-by-step explanation:
i just took it
Answer:
the answer is c I just did the test