Answer:
The center of this circle is (5, -4) and the radius is 1.
Step-by-step explanation:
First regroup these terms according to x and y :
x^2 - 10x + y^2 + 8y = -40
Next, complete the square for x^2 - 10x: x^2 - 10x + 5^2 - 5^2.
and the same for y^2 + 8y: y^2 + 8y + 16 - 16
Substituting these results into x^2 - 10x + y^2 + 8y = -40, we get:
x^2 - 10x + 5^2 - 5^2 y^2 + 8y + 16 - 16 = -40.
Next, rewrite x^2 - 10x + 25 and y^2 + 8y + 16 as squares of binomials:
Then x^2 - 10x + 5^2 - 5^2 y^2 + 8y + 16 - 16 = -40 becomes:
(x - 5)^2 + (y + 4)^2 - 25 - 16 = -40, or:
(x - 5)^2 + (y + 4)^2 = 1
This equation has the form (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius. Matching like terms, we get h = 5, k = -4 and r = 1.
The center of this circle is (5, -4) and the radius is 1.
Answer:
Center (5,-4) Radius = 1
Step-by-step explanation:
Put it in the form of the standard circle equation after dividing everything by 2. (-10x/2=-5x) (8y/2=4y) Since the radius wasn't given, it's just going to be a 1.
(x-5)^2+y(-(-4))^2 = 1^2
Hence, center (5, -4) and radius 1.
please help omg- AAAAAAAAAAAAAAAAAAAAA
Answer: 11. A and B
12. 520 cubic feet.
Step-by-step explanation: 11. The volume for a prism is base x height. Thus, it would be 2 x 3 x 3 or 6 x 3 to get a total of 18 cubic units.
12. The first compartment's volume is 5 x 7 x 8 or 280. The second compartment is 5 x 6 x 8 or 240. The total would be 280 + 240 or 520 cubic feet.
Answer:
11.B
12.520
Step-by-step explanation:
5.7.8=280
5.6.8=240
TOTAL=520
Need help with school
Answer:
Well the first mesurement is 66 degreess and the second one will be 90 degress because it shows the 90 angle on the screen so the last one will be 180-90-66 which will equal 24 degreess
Step-by-step explanation:
In short 24 degress.
10)
A) x + 2 y = 1
C) x - 2y = 10
B) x-1= 2
D) x – 2y=
Answer:
B)
Step-by-step explanation:
y-intercept = -2
slope = 1
in slope-intercept form the line would be: y = x - 2
if we subtract 'x' from each side we get:
-x + y = -2
we don't want to leave 'x' as negative so we can multiply each term by -1 to get:
x - y = 2
please help i’ll give brainliest!!! thanks
Answer:
The Yangtze RiverHope that helps! :)
-Aphrodite
Step-by-step explanation:
Answer:
China's two main rivers that both helped and hurt trade are the Huang -he (or yellow ) river in the north and The Yangtze river in the south .hope it is helpful to you
Gerardo makes $18 per hour at Starbucks. Tomorrow he is going to receive a raise totalling 20% of his hourly wage. What will he be making per hour straying tomorrow.
to get his wage for the next day, you would do 18x1.2, which equals 21.6, so he would now be making $21.6 per hour.
The world's largest ice cream cone was 10 feet tall and 3 feet in
diameter. Ice cream weighs about 19.8 pounds per cubic foot. If this cone
was filled with ice cream to the top without going over, approximately how
many pounds of ice cream could this cone hold?
A. 467 pounds
B. 600 pounds
C. 1,400 pounds
D. 1,866 pounds
Answer:
23.56
Step-by-step explanation:
all you have to do is find the volume
lets set up the equation: V=πr2h 3=π·1.52·10 3≈23.56194
Then round : 23.56
Your final answer is 23.56 You're Welcome!!!
A piece of string is 120 centimeters long.
How long would the piece of string measure in meters?.
Answer:
1.2m
Step-by-step explanation:
1 meter = 100 cm
120cm * (1m/100cm) = 1.2m
Solve the simultaneous equations
x
+
y
=
5
x
=
1
+
y
Answer:
Step-by-step explanation:
Givens:
Eq. 1 ) x + y = 5
Eq 2 ) x = 1 + y
plug x into Eq 1 from Eq 2
(1+y) + y = 5
algebra them out
2y = 4
y = 2
then
x + 2 = 5
x = 3
PLEASE HELP WILL GIVE BRAINLIEST AND LOTS OF POINTS
Answer:
area of rectangle=432 m^2
area of triangle=750 in.^2
Step-by-step explanation:
HELPPPPP
What is the area of the actual living room?
Answer:
The answer is 51,200 in².
Step-by-step explanation:
(4x40)x(8x40)=51,200
someone please helppp
Answer:
you can use SSA to prove congruence. side DE and AB are congruent, and C and F are both right angles
Answer:
yes, that information is sufficient
Step-by-step explanation:
when y is given, you can prove that the triangles are congruent by RHS axiom. R- right angle H-hypotenuse S- side
Please help AND NO LINKS OR U WILL BE REPORTED!
Identify the reference angle ∅ for each given angle, Ф.
When Ф = 300°, ∅=______degrees
When Ф = 225°, ∅=______ degrees
When Ф = 480°, ∅=______degrees
when Ф = -210°, ∅= ______ degrees
Answer:
See below for answers
Step-by-step explanation:
300° is in Quadrant IV, so its reference angle is 360°-300°=60°
225° is in Quadrant III, so its reference angle is 225°-180°=45°
480°=120° is in Quadrant II, so its reference angle is 180°-120°=60°
-210°=150° is in Quadrant II, so its reference angle is 180°-150°=30°
Find a point 1/5 of the way between points A (-6,-4) and B (-1,6).
9514 1404 393
Answer:
(-5, -2)
Step-by-step explanation:
That point P can be found from ...
P = A + 1/5(B -A)
P = (4/5)A +(1/5)B = (4A +B)/5
P = (4(-6, -4) +(-1, 6))/5 = (-24-1, -16+6)/5 = (-25, -10)/5
P = (-5, -2)
Answer:
the answer is (-5,-2)
Step-by-step explanation:
:))
I NEED HELP WITH NUMBER 3 HURRY
Answer:
There are 4 pitchers
Step-by-step explanation:
3p - 1 = number of infielders
3p - 1 = 11
+1 +1
3p = 12
[tex]\frac{3p}{3}[/tex] = [tex]\frac{12}{3}[/tex]
p = 4
hope this helps! if you have any questions, let me know!
Find the number of ways the digits 0,1,2 and 3 can be permuted to give rise to a number greater than 2000
Answer:
12
Step-by-step explanation:
You have to have the 2 or 3 as the first digit.
After that, the other 3 digits can be done in 3! = 6 ways.
So, the total is 2*3! = 12
What is the distance between two points(2,-6)(-7,1)
Answer:
11.4
Step-by-step explanation:
Find the distance in the x-direction between the x-components: 2 - (-7) = 9.
Similarly: between the y-components: 1 - (-6) = 7
Apply the Pythagorean Theorem: 9^2 + 7^2 = d^2, where d is the desired distance:
81 + 49 = d^2, or d^2 = 130
The distance d is approximately √130 ≈ 11.4
Answer:
Square root of 130
Step-by-step explanation:
Use the distance formula:
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]
[tex](x_{1}, y_{1} )[/tex] is your first set of coordinates : (2, -6)
[tex](x_{2}, y_{2} )[/tex]is your second set of coordinates : (-7, 1)
Please help I'm struggling
Answer:
the first is 1/5 what are the other options
Step-by-step explanation:
a line passes through point (-10,3) and has a slope of 1/2. write an equation in Ax+By=C form for this line. Use integers for A, B, and C
Answer:
-10, -4
Step-by-step explanation:
find the measure of x in the figure. show your work. answer asap please
Answer:
x=25
Step-by-step explanation:
2x+40=90
90-40=50
50 divided by 2 is 25
x=25
Write an exponential function in the form y=b^x that goes through the points (0,9) and (3,4608)
Answer:
y = 9 * bˣ
Step-by-step explanation:
y = a * bˣ
9 = a * b⁰ = a * 1
a = 9
4608 = 9 * b³
b³ = 512
b = 8
y = 9 * bˣ
Help!!!! I need the answer to this
Answer:
1. 147°
3. 147°
4. 33°
Step-by-step explanation:
hope this helps!
please help me with full calculations
9514 1404 393
Answer:
see attached
Step-by-step explanation:
When rotation is 180° or 360°, the direction is immaterial. The result is the same no matter which direction you go.
What is the area of the figure?
Answer:
252 square inches.
Step-by-step explanation:
Split the Cube into three shapes.
You can make the biggest cube 12 by 15 and mutliply those together.
That would be 180.
Now you are left with 2 other smaller cubes.
3 * 6 = 18
6 times 9 = 54
The Final Answer is 252 square inches.
please help me out with this.its graded and am lost.please guys no link.thank you
Answer:
1. Talin está hiendo a la universidad todos los días.
2. Daniel está construyendo un edificio.
3. Lorena y Carlos están leyendo las noticias en el periódico.
4. Mis amigos y yo estamos escuchando música.
5. Está cayendo mucha nieve.
6. Los chicos están huyendo de la policía.
7. Ellos están destruyendo el viejo hospital.
8. Mis papás están contribuyendo con las donaciones.
9. Mi hermana está trayendo las sillas y mesas.
10. !Tu estas creyendo en sus mentiras!
Step-by-step explanation:
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.
Answer:
the power of a should be 3.
What is the equation of the function graphed below?
Answer:
D
Step-by-step explanation:
sorry if the answer is wrong
Which is a number that can be written as a fraction in the form /?
Answer:
the third one/second one
Step-by-step explanation:
what is the image of the point (-2,7) after a rotation of 180 degrees counterclockwise about the origin?
Answer:
(- 7, - 5 )
Step-by-step explanation:
Do you think two students who made no computation errors would get different values for this numerical expression> explain (4x35)+(36x8
Answer:
Yes, they would get different values
Step-by-step explanation:
Given
[tex](4 * 35) + (36 * 8)[/tex]
Required
Would there be different value for the expression?
From the question, we understand that both students made no computational errors. This doesn't mean that the students cannot make other errors.
For instance, the expression can be solved (wrongly) in the following ways;
[tex](4 * 35) + (36 * 8) \to 4 * 35 + 36 * 8 \to 140 + 36 * 8 \to 176 * 8 = 1408[/tex]
[tex](4 * 35) + (36 * 8) \to 4 * 35 + 36 * 8 \to 4 * 71 * 8 \to = 2272[/tex]
While the correct solution is:
[tex](4 * 35) + (36 * 8) \to 140 + 288 =428[/tex]
Hence, it is possible for two students to get different values
Custodian at Movie Theater
pay:$9.95
per hours: 15.25 hours per week
how much do they make in a-
week_
month_
year_
Answer:
1) A week: $151.74
2) A month : $606.96
3) A years : $7890.48
Step-by-step explanation:
Custodian at Movie Theater
pay:$9.95
per hours:
15.25 hours per week
How much do they make in
1) a- week
1 week = 15.25 hours
Hence,
1 hour = $9.95
15.25 hours = x
Cross Multiply
x = 15.25 × $9.95
x = $151.7375
Approximately = $151.74
2) A month
There are 4 weeks in a month
1 week = $151.74
4 weeks = x
Cross Multiply
x = 4 × $151.74
x = $606.96
3) A year
There are 52 weeks in a year
Hence,
1 week = $151.74
52 weeks = x
Cross Multiply
x = 52 × $151.74
x = $7890.48
Therefore, they made in :
1) A week: $151.74
2) A month : $606.96
3) A years : $7890.48