So our equation currently is ⇒ [tex]x^2+y^2-10x+8y-8 = 0[/tex]
Let's first move all the constant to one side and group 'like variables' together:
[tex](x^2-10x)+(y^2+8y) = 8[/tex]
Now lets complete the square of both equations
[tex](x^2-10x+25)+(y^2+8y +16) = 8 + 25 + 16\\(x-5)^2+(y+4)^2 = 49\\(x-5)^2+(y+4)^2 = 7^2[/tex]
Now we know the circle's general equation format is:
⇒[tex](x-h)^2+(y-k)^2 = r^2[/tex]
(h, k) ⇒ coordinate of the center of the circler ⇒ length of radius of circleThus the radius of the circle is 7
Hope that helps!
2. Brian thinks that 1.75 x 10-3 is less than 1.25 10-2. Is he correct? Justify your answer.
Answer:
Yes
Step-by-step explanation:
∠2 and ∠4 are "blank" angles.
Answer:
angles 4 and 2 are congruent
Step-by-step explanation:
the same
4 to the 5th power times 4 to the -7th power divided by 4 to the -2nd power
Answer:
1
Step-by-step explanation:
4^(5)×4^(−7)÷4^(−2)
=4^(5+(-7)-(-2))
=4^(5-7+2)
=4^(0)
=1
Hey!
Your answer is 1.Heres how i got the answer
4^(5)×4^(−7)÷4^(−2)
=4^(5+(-7)-(-2))
=4^(5-7+2)
=4^(0)
Hope this helps!
what can you add to get negative 8 and multiple to get positive 7
Step-by-step explanation:
-1 and 8 Below we prove the -1 and 8 multiple to -8 and add up to this -1 × 8= -8
8th Grade Math!!
find the area of the rectangle.
the area of the rectangle is __ square feet. (simplify your answer)
Answer:
[tex]48x^{13}\ ft^2[/tex]
Step-by-step explanation:
Step 1: Determine the area of the rectangle
To find the area of the rectangle we just need to do Length * Width which will give us the area in square feet (it really depends on the units that they are giving the L and W in).
[tex](8x^6) * (6x^7)[/tex]
[tex]((8*6)(x^6*x^7))[/tex]
[tex](48*x^{6+7})[/tex]
[tex]48x^{13}[/tex]
Answer: [tex]48x^{13}\ ft^2[/tex]
Round 6.385 to the nearest half.
last number of 1²+2²+...+2007²
Answer:
4028054 is the last number when we operate it....
Carlos ran 3 1/2 miles on Saturday and
2 1/2 miles on Sunday. How many yards
did Carlos run in all? Show your work.
Answer:
6 yard
Step-by-step explanation:
Since, it given that:
Carlos ran 3 1/2 miles on Saturday and 2 1/2 miles on Sunday.
And asking for how many yards carlos run in all
in all = add
3 1/2 + 2 1/2
Add the whole number
3 + 2 = 5
Since they have the same denominator we can just add them
1/2 + 1/2 = 1 whole
Since it a whole we can add to the whole number
5 + 1 = 6
Thus, Carlos run 6 yards.
Lenvy
Answer:
6 yards
Step-by-step explanation:
To Find:
How many yards did Carlos run in all?
Solution:
In all means addition in this question
Thus,
3 1/2 and 2 1/2
3 1/2 + 2 1/2
we can turn them into improper fraction and then find the answer
3 1/2 = 7/2 and 2 1/2 = 5/2
7/2 + 5/2 = 12/2
12/2 = 6
Hence, Carlos run 6 yards in all
[RevyBreeze]
Triangle ABC is a right triangle, and mC is 78°.
What is mA?
A. 2°
B. 12°
C. 22°
D. 32°
Answer:
[B] 12°
Step-by-step explanation:
Given:
Triangle ABC is a right triangle, and m∠ C is 78°.
Solution:
Knowing that Triangle = 180 degree
Square in a right angle = 90° angle.
Thus,
78+90 =168
180-168 is 12
Hence, the answer is [B] 12 degree
Kavinsky
Answer:
the answer is
Step-by-step explanation:
B
can someone help mepleace
Answer:Click on the file below
Step-by-step explanation:
Help me for 10 help me please
Answer:
Answer:
what do u need help in?
If you draw out a red marble, keep it, then draw out a
blue marble, is it independent or dependent probability?
Independent
Answer:
dependent
Step-by-step explanation:
the probability of drawing the blue marble was changed when you drew the red marble and did not put it back
Graphing a linear equation of the form y=mx how do I plot y=-2x
a line through the origin with a slope of -2 (for every 1 unit to the right, move 2 units down)
when plotting, plug in values for x, i would recommend starting with 0, 1, and -1, then find y for each of these x values, then connect the points
Find the product of the sum of 76 and 13 and the difference of 92 and 49.
3827
hope it helps...!!!
A water balloon is launched in the air from a height of 12 feet and reaches a maximum height of 37 feet after 1.25 seconds. Write an equation to represent the height h of the water balloon at time t seconds. Then, find the height of the balloon at 2 seconds.
The height of the balloon is given as h(t) = -16t² + 40t + 12 at 2 seconds, the height is 28 feet
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let h represent the height of the water balloon after t minutes, hence:
h(t) = -16t² + vt + h₀
Where h₀ is the initial height = 12 feet and v is the initial velocity, hence:
h(t) = -16t² + vt + 12
The height of 37 feet after 1.25 seconds, hence:
37 = -16(1.25)² + v(1.25) + 12
v = 40 m/s
h(t) = -16t² + 40t + 12
After 2 seconds:
h(t) = -16(2)² + 40(2) + 12
h(2) = 28 feet
The height of the balloon at 2 seconds is 28 feet
Find out more on equation at: https://brainly.com/question/1214333
Helppppppppppppppppl
Answer: A
Step-by-step explanation: You're Welcome
A shape is made of 12 right triangles of equal size. Each right triangle has a base of 4cm and a height of 5cm. What is the total area, is square centimeters, of the shape?
Answer: 120 cm²
Step-by-step explanation:
Let's start by finding the area of one triangle
The formula for finding the area of a triangle is [tex]A=\frac{hb}{2}[/tex]
Where
A is the area
h is the height (5 for this)
and b is the base (4 for this)
Let's sub in our values and solve.
[tex]A=\frac{(5)(4)}{2}\\A=\frac{20}{2}\\A=10[/tex]
Since there are 12 triangles in the shape we must multiply our area for one triangle by 12 to find the total area of the shape
12×10=120
Divide $3600 among Nancy Beverly and Todd in the ratio 2:3:4?
Answer:
nancy: $800, beverly: $1200, todd: $1600
Step-by-step explanation:
finding the portion of one part of the ratio:
3600 ÷ 9 = 400 (9 came from 2 + 3 + 4 in the ratio)
Nancy: 2 x 400 = $800
Beverly: 3 x 400 = $1200
Todd: 4 x 400 = $1600
checking the answer:
1600 + 1200 + 800 = 3600
Simplify: ^6 square root x times ^4 square root y^3
The expression [tex]\sqrt[6]{x} \times \sqrt[4]{y^3}[/tex] is an illustration of an algebraic expression
The simplified expression of [tex]\sqrt[6]{x} \times \sqrt[4]{y^3}[/tex] is x^1/6y^3/4
How to simplify the expression?The expression is given as:
[tex]\sqrt[6]{x} \times \sqrt[4]{y^3}[/tex]
Rewrite the expressions as exponents
x^1/6 * y^3/4
Multiply the expresions
x^1/6y^3/4
Hence, the simplified expression of [tex]\sqrt[6]{x} \times \sqrt[4]{y^3}[/tex] is x^1/6y^3/4
Read more about expressions at:
https://brainly.com/question/723406
Answer:
Step-by-step explanation:
edge
Complete the two-way frequency table below, which shows the
distribution of blood types for students in their first year at a local
college.
O AB AB Total
Male (M) 210 17474 42
Female (F)|31526111163
Total
What is P(ABM), and are the events "the student is male" and "the
student has blood type AB" independent events? (7 points)
а
21
; they are independent because P(M N AB) = P(M)
250
· P(AB)
Ob
T!
; they are dependent because P(M NAB) P(M) · P(AB)
5
Ос
21
; they are independent because P(M N AB) = P(M)
625
P(AB)
Od
1
--; they are dependent because P(M N AB) = P(M) · P(AB)
4
Answer:
a.
Step-by-step explanation:
Probability that is a AB type blood given is a Male
P(AB/M) = 42/500 = 21/250
Probability that they are Male with an AB type blood out of all AB type blood people = Probability that is a Male out of all students
P(M∩AB) = P(M)
(42/105) = (500/1,250)
.4 = .4 ✅
The events "the student is male" and "the student has blood type AB" are independent events.
Help help help math math
Answer:
-2
Step-by-step explanation:
(-3x/2) - 3 = 3
add 3 to both sides
(-3x/2) = 3
multiply both sides by 2
-3x = 6
divide both sides by -3
x= -2
Five friends share 4 bags of trail mix equally.
What fraction of a bag of trail mix does each friend get?
4. Convert: 32 cups = gallons 10 gallons 3 gallons 2 gallons 1 gallon
Answer:
2 gallons
Step-by-step explanation:
:/
please help me with this question
*URGENT* PLEASE HELP
[tex] \frac{3z}{2} - 5 = 28 \\ [/tex]
[tex] \frac{2}{3} . \frac{3z}{2} = 33. \frac{2}{3} \\ [/tex]
[tex]z = 22[/tex]
a game company sold 82 bored games and 18 card games. What is the ratio of the number of bored games to the total number of games
Answer: 82:18 or 4.55:1
Expl:
The ratio of something describes how many x per y.
Here, we have 82 Board Games sold VS 18 Card Games.
The exact Ratio of BG to CG is 82:18 and when simplified you may find 4.55:1, by dividing 82/18, and checking with 4.55x18=82.
Hope this Helped!
Can someone help me I need this done ASAP like TODAY… I know D. I just dont know A, B, C. Please helppppppppp meeeeeeeeee
Answer:
Please see explanation
Step-by-step explanation:
base= -3
the exponent is 5
in expanded form -3×-3×-3×-3×-3
evaluation = -3×-3×-3×-3×-3= -243
Jack went to baseball practice at 5:45 p.m. He returned home at 8:22 p.m. How long was he gone for? SHOW YOUR WORK PLEASE
Answer:
2 hours and 37 mins
Step-by-step explanation:
you want to get to a full hour so 5:45 closes hour would be 15 minutes later which would be 6:00 and then you add 2 hours which would be 8:00 and you have 22 minutes to get 822 p.m. so you add the minutes together 15 + 22 which you'll get 37 and you'll have the 2 hours on the side so it would be 2 hours and 37 minutes
If a giraffe eats 75 pounds of acacia leaves a day, how many grams would that be?
Answer:
34,050 grams
Step-by-step explanation:
To convert pounds to grams, you must multiply the mass (75) by 454.
454 * 75 = 34,050
34,050 grams is equal to 75 pounds.
Hope this helps:)
What is the distance between the points(-4,-1) and (-6,8) in simplest radical form.
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-4}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{-6}~,~\stackrel{y_2}{8})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[-6 - (-4)]^2 + [8 - (-1)]^2}\implies d=\sqrt{(-6+4)^2+(8+1)^2} \\\\\\ d=\sqrt{(-2)^2 + 9^2}\implies d=\sqrt{85}[/tex]