Answer:
[tex](x+4)^2+(y-8)^2=85[/tex]
Step-by-step explanation:
The standard equation for a circle is given by:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where (h, k) is the center and r is the radius.
We know that the center is (-4, 8). So, substitute -4 for h and 8 for k:
[tex](x-(-4))^2+(y-8)^2=r^2\\[/tex]
Simplify:
[tex](x+4)^2+(y-8)^2=r^2[/tex]
Now, we will need to find r.
We know that it passes through the point (-2, -1). So, we can substitute -2 for x and -1 for y and solve for r. So:
[tex](-2+4)^2+(-1-8)^2=r^2[/tex]
Evaluate:
[tex](2)^2+(-9)^2=r^2[/tex]
Square:
[tex]4+81=r^2[/tex]
Add:
[tex]r^2=85[/tex]
So, r squared is 85.
We don’t actually have to solve for r itself, since we will have to square it anyways.
So, we have:
[tex](x+4)^2+(y-8)^2=r^2[/tex]
Substituting 85 for r squared, we get:
[tex](x+4)^2+(y-8)^2=85[/tex]
And we have our equation.
solve (2x-10)=(65-x)
Answer:
The answer is x = 25.
you want to buy a new coat
that is on sale for 15% off. The sale price of the coat is $60.
What was
the original price of
the coat ?
Answer:
70.59
Step-by-step explanation:
1. The model represents an equation.
Which is the value of x for this equation?
1
X
х
1
х
1
1
1
1
1
1
1
A.X= 2
B.x= 4
C.x= 5
D.x = 6
Answer:
nice avatar and the answer is a
i
The table shows which equation?
Answer:
C. I think I'm not sure
Step-by-step explanation:
PLEASE HELP FAST
The midpoint of AB is M(-4, 0). If the coordinates of A are (-6, 6), what are the coordinates of B?
Answer:
The coordinates of B are: (a, b)=(-2, -6)
Step-by-step explanation:
Let (a, b) be the coordinates of the point 'B'.
As
The midpoint of AB is M(-4, 0)
The coordinates of A are (-6, 6)
The midpoint (x,y) of line joining points (x₁, x₂) and (y₁, y₂)
[tex]x=\frac{x_1+x_2}{2},\:y=\frac{y_1+y_2}{2}[/tex]
-4 = (-6+a)/2 and 0 = (6+b)/2
-8=-6+a
-8+6=a
a=-2
0=(6+b)/2
0=6+b
b=-6
Therefore, the coordinates of B are: (a, b)=(-2, -6)
Lickety Sweet's Candy Store sells candy by the ounce. Maura paid $3.48 for a 12-ounce bag of hard watermelon candies and $1.28 for an 8-ounce bag of chewy chocolate candies. How much more do the watermelon candies cost per ounce than the chocolate candies?
Answer:
The Watermelon candies cost 13 more cents then the chocolate.
Step-by-step explanation:
$3.48 divided by 12 is 29 cents
$1.28 divided by 8 is 16 cents
Subtract 16 from 29 and get 13
If Lickety Sweet's Candy Store sells candy by the ounce. Maura paid $3.48 for a 12-ounce bag of hard watermelon candies and $1.28 for an 8-ounce bag of chewy chocolate candies, then she paid 13 more cents for watermelon candies cost per ounce than the chocolate candies
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
Lickety Sweet's Candy Store sells candy by the ounce.
For 12-ounce bag of hard watermelon candies Maura paid $3.48
For 8-ounce bag of chewy chocolate candies Maura paid $1.28
Let us find cost of each watermelon candie
$3.48 divided by 12
3.48/12=29 cents
$1.28 divided by 8
1.28/8=16 cents
Subtract 16 from 29 and get 13
29-16=13
Hence 13 cents more do the watermelon candies cost per ounce than the chocolate candies
To learn more on Equation:
https://brainly.com/question/10413253
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Is it possible for two triangles to have the same side lengths but not be congruent?
What does the graph of the function represent
The relationship between the number of hours a plumber works and the total work fee
she charges is proportional. Her fee for 5 hours of work is $350.
Which of the following could be combinations of values for the plumber's work hours
and total work fee she charges?
Hours 3 - $270
Hours 3.5 - $245
Hours 6 - $440
Hours 7.25 - $530,50
Answer:
ANSWERS ARE B, C, AND D.
Step-by-step explanation:
I found the unit rate of 350 and 5, because we can use a calculator (as stated on top) I just punched in 350 divided by 5 and got 70. Now i know this may not sound that "professional", but nothing needs to always be professional as long as its efficient and most importantly gets you the right answer. I then took the time to multiply each number, (the ones on the left : 3, 3.5, 6, 7.25, and 8) by 70. If the answer you got on the calculator match up to the number on the right, (240, 420, 507.50, and 490) its correct, if it doesn't match up, you can tell that its most likely not the answer. You should end up with three answers that all end up having the unit rate of 70. Hope this helps anyone who needed it.
ANSWERS ARE B, C, AND D.
Answer:
The answer is B,C, And D
Step-by-step explanation:
I just saw it on Khan and got it right.
3 subtracted by 7 times a number
Answer:
(3-7)x or -4x depends on what your teacher is looking for
A football team loses an average of 3 yards per play. How many yards
have they lost after 4 plays? Write a number sentence to show your
answer.
The expression would be:
3x
x=number of plays
Insert 4:
3(4)
=12
They would 12 yards after 4 plays if losing 3 yards every play.
The amount of yards the football team loses after 4 plays is given by the equation A = 12 yards
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the amount of yards the football team loses after 4 plays be A
Now , the equation will be
Let the amount of yards the football team loses per play = 3 yards
So , the amount of yards the football team loses after 4 plays = 3 x amount of yards the football team loses per play
Substituting the values in the equation , we get
The amount of yards the football team loses after 4 plays A = 3 x 4
On simplifying the equation , we get
The amount of yards the football team loses after 4 plays A = 12 yards
Hence , the amount of yards is 12 yards
To learn more about equations click :
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what is the equivalent expression plzz help
What is the equation for the parabola that
has a focus at (-7, 6) and a directrix of x
1?
Answer:
Step-by-step explanation:
Parabola's equation is
y
=
1
16
(
x
−
7
)
2
+
1
and vertex is
(
7
,
1
)
.
Explanation:
Parabola is locus of a point which moves so that its distance from a given point calld focus and a given line ccalled directrix is always constant.
Let the point be
(
x
,
y
)
. Here focus is
(
7
,
5
)
and distance from focus is
√
(
x
−
7
)
2
+
(
y
−
5
)
2
. Its distance from directrix
y
=
−
3
i.e.
y
+
3
=
0
is
|
y
+
3
|
.
Hence equaion of parabola is
(
x
−
7
)
2
+
(
y
−
5
)
2
)
=
|
y
+
3
|
2
or
x
2
−
14
x
+
49
+
y
2
−
10
y
+
25
=
y
2
+
6
y
+
9
or
x
2
−
14
x
+
65
=
16
y
i.e.
y
=
1
16
(
x
2
−
14
x
+
49
−
49
)
+
65
16
or
y
=
1
16
(
x
−
7
)
2
+
65
−
49
16
or
y
=
1
16
(
x
−
7
)
2
+
1
Hence parabola's equation is
y
=
1
16
(
x
−
7
)
2
+
1
and vertex is
(
7
,
1
)
.
graph{(1/16(x-7)^2+1-y)((x-7)^2+(y-1)^2-0.15)((x-7)^2+(y-5)^2-0.15)(y+3)=0 [-12.08, 27.92, -7.36, 12.64]}
Mrs. Reed spent $34 to buy M&Ms and paper clips for her students. She bought a total
of 10 items. If the M&M bags were $3 each and the paper clips were $4 for each box,
how many of each did she buy?
Answer:
Mrs. Reed bought 4 boxes of paper clips and 6 bags of M&Ms.
Explanation:
4 x 4 = 16
3 x 6 = 18
16 + 18 = 34
Answer:
Step-by-step explanation:
the equation y-7/2=1/2(x-4) is weitteb in point-slope form. what is the intercept of the equation? PLEASE HELP
Answer:
1/2 is the answer.......
Nixon has a square piece of wrapping paper that has a total area of 200 square inches. Which point on the number line below represents the measurement closest to the side length of the piece of wrapping paper
Answer:
x = 14 inches
Step-by-step explanation:
The area of a square piece of paper is 200 square inches.
We need to find the point on the number line below represents the measurement closest to the side length of the piece of wrapping paper. It is shown in the attached figure.
Area of a square = x², x is the side length
[tex]x=\sqrt{A} \\\\x=\sqrt{200} \\\\x=14.142\ \text{inches}[/tex]
or
x = 14 inches
So, the side length of the square is 14 inches. It is shown in point A.
Your roommate's closet is full of skeletons. There are containers full of skeletons which weigh pounds total. If there are containers, how much does each container weigh? Leave your answer in the form a^b.
Answer:
Each container weigh 10^3pounds
Step-by-step explanation:
The question lacks the necessary values. Let's restructure the question and include values.
Your roommate's closet is full of skeletons. There are containers full of skeletons which weigh 100,000 pounds total. If there are 100 containers, how much does each container weigh? Leave your answer in the form a^b.
From the question, we are given the following;
Weight of containers full of skeleton = 100000 pounds
Number of containers = 100
Required
Weight of each container
Let's say:
100containers = 100000pounds
1 container = xpound
Cross multiply
100×x = 100,000
Divide both sides by 100
100x/100 = 100,000/100
x = 10,000/100
x = 10^5/10^2
Using the law of indices
x = 10^{5-2}
x = 10^3
Hence the answer in form of a^b is 10^3 pounds.
What is the factor to this as a expression?
Answer:
The expression is not factorable with rational numbers
Step-by-step explanation:
PLEASE HALP ME! timothy had 18 liters of pineapple juice, he shared 4 liters with his sister, 2 with his brother. then got another 12 liters. His brother gave him back 3 liters. How much liters does timothy have?
_________
Answer:
27 liters
Step-by-step explanation:
18-4=14
14-2=12
12+12=24
24+3=27
408 = 12x + 16y solve for both x and y?
Answer:
Slope= − 1.500/2.000
= -0.750
x intercept= 102/3
= 34
y−intercept= 102/4
= 51/2
= 25.50000
Step-by-step explanation:
sorry if this is wrong, I tried!
F (x) = 3x^2 vertex __________ axis __________ x-int __________ y-int __________ max/min _________ value __________ domain __________ range _________
Answer:
F(x) = 3·x² vertex (0, 0) axis x = 0 x-int (0, 0) y-int (0, 0) min minimum value (0, 0) domain (x ∈ R) range (f(x) ∈ R+)
Step-by-step explanation:
The given function is f(x) = 3·x²
The given parabola in vertex form y = a(x - h)² + k
Where;
(h, k) = The vertex
By comparison, we have;
h = 0
k - 0
Therefore;
1) The vertex = (0, 0)
2) The axis of symmetry = The line x = 0
3) The x-intercept = The vertex = (0, 0)
4) The y-intercept = The vertex = (0, 0)
5) The minimum value = The vertex = (0, 0)
6) The domain = All real numbers (x ∈ R)
7) The range = All positive real numbers including 0 (f(x) ∈ R+)
50 POINTS PLEASE HELP
Stephano solved this inequality, but the solution does not work when he checked his answer. In which step did he go wrong? Explain.
-4s + 5 ≤ 16
\frac{-4s + 5}{-4} ≥ \frac{16}{-4}
s + 5 - 5 ≥ -4 - 5
s ≥ -9
Answer: 2nd step
Step-by-step explanation:
(-4s+5 )/-4 ≥ 16/-4
S-(5/4) ≥ -4
S ≥ -4+(5/4)
S ≥ 1/4
simply : b2 • b3 • b
(• = divide)
Answer:
Step-by-step explanation:
Is it b^2 divided by b^3 divided by b?
If so, the answer is 1/b^2
Nicole is making 1,000 bows for people who donate to the library book sale. She needs a piece of ribbon that is o.75 meters long for each bow. How many meters of ribbon does Nicole need to make for the bows? Explain how to find the answer.
Answer:
750 meters
Step-by-step explanation:
In order to calculate the total amount of ribbon that she needs, we need to multiply the amount of ribbon that each bow needs by the total number of bows that need to be made. Since we are given both of these values we simply multiply and solve for x which is the total amount of ribbon that Nicole needs.
1000 * 0.75 = 750 meters
Therefore, Nicole needs a total of 750 meters to make all of the needed bows.
help me on this please it’s due at 11:59 and i have no idea what to do
Helpppp what is kp???
Step-by-step explanation:
the equilibrium constant expressed in terms of partial pressures. Kp index, a measure of the global average geomagnetic potential. Kripke–Platek set theory, a mathematical axiom system.
Fill in the blank.
(45)×(512) = ___ / 5×12
Answer:
x=1382400
this should be right
Answer:
1382400
Step-by-step explanation:
Well, we can first find that 5x12 is 60 so if you substitute it, it would be:
45x512 = ___ / 60
We can also substitute ___ as x:
45x512 = x/60
45x512 is 23040 so, 23040 = x/60.
Bring sixty to the other side and multiply
x= 23040 x 60 = 1382400
whats equivelent to 9a + 12
Answer:
Multiply both terms of the numbers
hense you would do: 2(9a + 12) = 18a + 24
It doesn't have to be 2 however. If can be any number you want it to be
Step-by-step explanation:
Answer:
12+9a is equivelent to 9a+12 :-)
Step-by-step explanation:
A $136,000.00 home with 30yr mortgage with 1.1% fixed rate. 20% down down payment. How much is the down payment, the monthly payments, interest rate and the loan?
Answer:
down payment = home value x 20% = $136,000 x 20% = $27,200
loan = home value - down payment = $136,000 - $27,200 = $108,800
interest rate = 1.1% fixed (given) ≈ 0.09167% per month
duration of loan = 30 years or 360 months
monthly payment = present value of loan / PV annuity factor
PV annuity factor, 360 periods, 0.09167% = 306.5134 (I used an online annuity calculator)
monthly payment = $108,800 / 306.5134 = $354.96
please help! the approximate path of a projectile launched from 100 m above the ground is given by f(×)= -5×^2+40+100, where f(×) represents the height × seconds after it is released into the air. use the info to answer the questions below. 1. what is the factored form of the equation? 2 how long will it take the projectile to reach the ground?
Answer:
Part 1) [tex]f(x)=-5(x-10)(x+2)[/tex]
Part 2) After 10 seconds.
Step-by-step explanation:
We have the function:
[tex]f(x)=-5x^2+40x+100[/tex]
Where f(x) represents the height x seconds after it is released into the air.
Part 1)
First, let's distribute a -5 out of the function:
[tex]f(x)=-5(x^2-8x-20)[/tex]
Now, let's factor. We want to pick two number that multiplies to -20 and adds to -8.
We can use -10 and 2. So:
[tex]f(x)=-5(x^2+2x-10x-20)[/tex]
Factor:
[tex]\begin{aligned}f(x)&=-5(x^2+2x-10x-20) \\ f(x)&=-5(x(x+2)-10(x+2)) \\ f(x)&=-5(x-10)(x+2) \end{aligned}[/tex]
Hence, our factored form is:
[tex]f(x)=-5(x-10)(x+2)[/tex]
Part 2)
We want to find after how many seconds does it take for the projectile to reach the ground.
If it reaches the ground, the height above the ground, f(x), will be 0.
So, we can set f(x) equal to 0 and solve for x. Instead of using the original equation, we can use the factored form. So:
[tex]0=-5(x-10)(x+2)[/tex]
Zero Product Property:
[tex]x-10=0\text{ or } x+2=0[/tex]
Solve for x:
[tex]x=10 \text{ or } x=-2[/tex]
Since x measures time, -2 does not make sense in this context.
Therefore, our solution is x=10.
So, after 10 seconds, the projectile will hit the ground.