Answer: (x - 2)^2 + (y + 3)^2 = 34
Step-by-step explanation:
The basic equation for a circle is
(x - a)^2 + (y - b)^2 = r^2 where (a, b) is the centre of the circle
Using Pythagoras we can find r^2
r^2 = (2 - -1)^2 + (-3 - -8)^2
= 3^2 + 5^2
= 34
So the circle is (x - 2)^2 + (y - -3)^2 = 34
The Equation of Circle is (x -2)² + ( y + 3)² = 34.
What is Equation of Circle?The standard equation of a circle is given by: (x-h)² + (y-k)² = r². Where (h,k) is the coordinates of center of the circle and r is the radius.
We know the standard form of Equation of Circle
(x - a)² + (y - b)² = r²
where (a, b) is the Centre of the circle
Also, we have a circle with a center at (2,-3) passes through the point (-1,-8).
Using Pythagoras theorem
r² = (2 - -1)² + (-3 - -8)²
= 3² + 5²
= 34
Thus, the Equation of Circle is (x -2)² + ( y + 3)² = 34.
Learn more about Equation of Circle here:
https://brainly.com/question/29288238
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A female sea turtle buries 200 eggs in the sand. After the baby turtles hatch they hurry to make it to the relative safety of the ocean. Of the 176 babies that hatched, 124 were eaten by birds, 37 were eaten by other predators, and 3 ran the wrong direction. Suppose that just after the eggs were laid that you marked one with an X. What is the probability that your egg hatched and the baby turtle made it to the ocean?
Answer: 12%
explanation: i subtracted the ones that had been eaten, and the ones that ran off and solved for x.
Which is not equivalent to 8/12
16/24
24/48
4/6
24/36
Answer:
The second one, 24/48
Brainliest would be great!
Answer:
24/48
Step-by-step explanation:
The total cost of 8 identical pens and 2 identical files is $32 The total cost of 3 such files is the same as the total cost of 4 such pens. Find the cost of each file
Answer:
$4
Step-by-step explanation:
Given that
total cost of 8 identical pens and 2 identical files is $32
And, the The total cost of 3 such files would be the same as the total cost of 4 such pens
We need to find out the cost of each file
So let us assume the following things
Pens be x
File be y
Now
8x + 2y = $32 ....(1)
3y = 4x.........(2)
y = 4x÷ 3
Now put the value of y in equation 1
8x + 1.33x = 32
x = $3.55
x = $4
The cost of each file based on the given information is $4
where:
Let the cost of a pen be xLet the cost of a file be ySimultaneous equationIf the total cost of 8 identical pens and 2 identical files is $32, hence;
8x + 2y = 32
If the total cost of 3 such files is the same as the total cost of 4 such pens, then;
4x = 3y
From the equation
8x + 2y = 32
2(4x) + 2y = 32
2(3y) + 2y = 32
8y = 32
y = 4
Since 6=4x = 3y
4x = 3(4)
4x = 12
x= 3
Hence the cost of each file is $4
Learn more on simultaneous equation here: https://brainly.com/question/6597041
5. A ladder leans against a building. The top of the ladder touches the building 10 feet above the ground. The foot of the
ladder is 4 feet from the building. Find, to the nearest degree, the angle that the ladder makes with the level ground.
(3 points)
Answer:
68 degrees
Step-by-step explanation:
The ladder, the building and the ground together make up a right triangle with angle of elevation to be determined.
The side opposite this angle is 10 ft; the distance of the foot of the ladder from the building is 4 ft. Thus,
tan x = (opp side) / (adj side) = 10/4. Using the inverse tangent function, we find that the angle in question is
arctan (10/4) = 68 degrees
Please someone help me I don’t understand please please help
Answer:
604
Step-by-step explanation:
Answer:
604
Step-by-step explanation:
6x10^2+4
6x100+4
600+4
= 604
someone help please :(
Answer:
47 I believe
Step-by-step explanation:
In two or more complete sentences, describe the similarities and differences of making a purchase with a debit card and/or a credit card.
Answer:
See below
Step-by-step explanation:
When you make purchases with a debit card, you are borrowing funds from your own bank account. When you make purchases with a credit card, you are borrowing funds from the bank, typically to pay it back to the bank later.
Which function BEST expresses the linear relationship displayed by the scatter plot?
A)
y = 0.25x + 1
B)
y = 0.25x + 3.75
C)
y = 0.25x + 8.25
D)
y = 0.50x + 3.75
Answer:
0.25x + 1cu a linear equation has one as it highest and lowest power of it variable
What is the answer for 2v-6/3-v ?
Step by step explanation:
2v−6
3-v
Factor the expressions that are not already factored.
2(v−3)
−v+3
Extract the negative sign in −3+v.
−2(−v+3)
−v+3
Cancel out −v+3 in both numerator and denominator.
−2
Answer:
-2
11/50 as a percentage
Step-by-step explanation:
4. Ito ay baluktot na gawaing may kinalaman sa pagpapayaman nang
ilegal.
WILL GIVE BRANLEST EXPLAIN
Solve for x:
Answer:
Angle between two tangents or two secants is the half of the difference of intercepted arcs.
#1
x = 1/2(250° - (360° - 250°)) = 1/2(250° - 110°) = 1/2(140°) = 70°#2
50° = 1/2(170° - x)100° = 170° - xx = 170° - 100°x = 70°Sage and Tom started the month with the same number of talk minutes on their cell phones. Sage talked for 7 minutes with her dad. Tom talked for 4 minutes with a friend and 3 more minutes with his mom. Do Sage and Tom have the same number of talk minutes left on their cell phone plans?
Complete the model to represent Sage’s minutes.
Enter the correct answers in the boxes.
Answer
omgggggggg same i dont know how to do it either
Step-by-step explanation:
Answer:
there is 11 min all to together for sage and tom so they did not have the same cell phone line
Step-by-step explanation:
its easy
Ann and ben had some apples. The ratio of the number of Ann's apples to the ratio of Ben's apple is 2:3. Ann gave 6 apples to ben and now the ratio becomes 1:3. How many apples are all together?
Answer:
There are 12 apples in total.
Step-by-step explanation:
If Anne gave Ben 6 apples then heres how:
2:3 subrtact 6 apples = 1:3
6 apples x 2 = 12 apples =
2 ÷ 2 = 1
Hence, your answer is double 6 which is 12 apples.
Hope this helps :)
A rectangular pasture has a fence around the perimeter. The length of the fence is 8x^7 and the width is 6x^4. What is the area of the pasture?
Answer:
Answer:
The area of the rectangular pasture is 768x^{11}\ unit^{2}.768x
11
unit
2
.
Step-by-step explanation:
Formula
Area of a rectangle = Length × Breadth
As given
A rectangular pasture has a fence around the perimeter. The length of the fence is 16x^{7}16x
7
and the width is 48x^{4}48x
4
.
Put all the values in the formula
Area\ of\ a\ rectangular\ pasture = 16x^{7}\times 48x^{4}Area of a rectangular pasture=16x
7
×48x
4
Now by using the exponent
x^{a}\times x^{b} = x^{a+b}x
a
×x
b
=x
a+b
Area\ of\ a\ rectangular\ pasture = 16\times 48\times (x^{7+4})Area of a rectangular pasture=16×48×(x
7+4
)
Area\ of\ a\ rectangular\ pasture = 768(x^{11})Area of a rectangular pasture=768(x
11
)
Therefore the area of the rectangular pasture is 768x^{11}\ unit^{2}.768x
11
unit
2
.
Answer:
C. 768x11
Step-by-step explanation:
Find the distance d. Round your answer to the nearest tenth. Show all your work. Thanksss!
Answer: the distance for d is about 5.8 units
Step-by-step explanation:
Use the pythagorean theorem. a^2 + b^2+= c^2 . in this case, c^2 is the distance for d.
5^2 + 3^2= d^2
25+9= d^2
34= d^2
square both sides and d is approximately 5.818
Help please (: :). .
Answer:37.68
Brainliest pls
Answer:
The circumference of the circle is 75.36cm
Step-by-step explanation:
There are two ways you can solve this, one is by using the radius and multiplying it by 2 and then pi which is 3.14, and the other is to use the diameter which is the radius times 2, and the thingy gave you the diameter, and you multiply it by 3.14 which is pi
CAN SOMEONE HELP ME PLSS IM FAILING AND I RLLY NEED HELP HELP ASAP HELP MATH MATH MATH HELPPPPPPPPPP
Answer:
Hello if I know the answers to your math questions I'll answer if there already posted I'll check your profile if not please post them thank you!
What percent of the data is less than 10 texts?
Group of answer choices
25%
50%
75%
100%
If you work 11 hours per week and get paid 11.71 per hour how much do you get paid per month and per year
515 per month
6182 per year
(find the value of x from the given
figures.)
F
a)
120
3
solo
Answer:
sorry,
can u repost yr question with figure plz
stay safe healthy and happy.What is the common ratio of the geometric sequence below? 18, -6, 2, -2/3
Answer:
Step-by-step explanation:
Common ratios are found by either multiplying the same number in to get to the next number in the sequence, or by dividing out the same number in to go the next number in the sequence. Multiply or divide, NOT add or subtract! Be careful! Obiviously, our numbers are going down, so we are dividing out a specific number as opposed to multiplying one in. To get from 18 to 6, we have to divide by 3; however, the 6 is negative, so we have to divide by -3. To determine if we are correct, divide -6 by -3 and see if that result is the next one in line. -6 divided by -3 is 2. So we are correct, and the common ratio is -3.
Please help me with this math problem!!!
Answer:
A) 840 Miles
B) 14 Milers per Gallon
Step-by-step explanation:
A) 350/24 = 14 miles per gallon
14 X 60 = 840 miles.
B) 350/24 = 14 miles per gallon
If the measurement of angle 2 is 120 degrees, what is the measurement of angle 7?
Answer:
The measure of angle 7 is twice the measure of angle 2, then the measure of angle 7 is
angles 2 and 7 equal 180 degrees. 180 = 2x + x
180 = 3x
x = 60
angle 7 is twice x
angle 7 = 120
Step-by-step explanation:
please help, will give brainliest.
Answer:
13) 8r = 256; r = 32
14) f = 2(5)
15) 8t = 208; 208/8 = 26
Step-by-step explanation:
Which mapping represents a function?
Please show full solutions! Will mark brainliest for the best answers! Thanks. Question is attached.
9514 1404 393
Answer:
a square 175 m on a side
Step-by-step explanation:
Let x and y represent the sides of the rectangle. Then the perimeter is ...
P = 2(x + y) = 700
x + y = 350 . . . . . . . divide by 2
y = 350 -x . . . . . . . . subtract x
The area of the fenced field is ...
A = xy
A = x(350 -x)
This is a quadratic function that has zeros at x = 0 and x = 350. The axis of symmetry is x = (0 +350)/2 = 175. The vertex (maximum area) is on the axis of symmetry, so corresponds to x = 175. The y-value there is ...
y = 350 -x = 350 -175 = 175
That is, the maximum area will be obtained when the fenced area is a square. Each side of the square is 175 m, which is 1/4 of the total length of the fence.
The dimensions of the space are 175 m by 175 m.
A student has taken three math tests so far this semester. His scores for the first three tests were 71, 75, and 79. Part A: Suppose his test scores continue to improve at the same rate. What will be the grade on the sixth and (final) test?
Answer:
The grade of this sixth and (final) test would be 91.
Step-by-step explanation:
This is an arithmetic series since each time the data is increasing by the common difference of 4, and we already know a₁ which is the first term in the sequence is 71, therefore we can say:
a₁ = 71
r = 4
a₆ = the sixth term that needs to be found out
n = 6
Formula of an arithemetic series:
aₙ = a₁ + r(n - 1)
a₆ = 71 + 4(6 - 1)
a₆ = 71 + 4(5)
a₆ = 71 + 20
a₆ = 91
Hence, the grade of this sixth and (final) test would be 91.
Hope this helps!
Mary invested $15,000 in an account that paid 5% simple interest annually. She will not
make any additional deposits or withdrawals. How much interest will Mary earn on her
investment at the end of 3 years?
$2,250.00
F
$17,364.38
H
$50,625.00
J
$225,000.00
Answer:
$2,250
Step-by-step explanation:
5% of 15,000 is 750. If we multiply 750 by the number of terms, 3, we get an answer of $2,250.
Answer:
$2,250
Step-by-step explanation:
Use the simple interest formula i = prt. Here the principal, p, is $15,000 and the interest rate, r, is 0.05. Then:
i = ($15,000)(0.05)(3) = $2,250
y is directly proportional to the square root of x
if y = 60 when x = 36
find x when y = 80
Answer:
x = 64
Step-by-step explanation:
Given y is directly proportional to [tex]\sqrt{x}[/tex] then the equation relating them is
y = k[tex]\sqrt{x}[/tex] ← k is the constant of proportion
To find k use the condition y = 60 when x = 36, then
60 = k [tex]\sqrt{36}[/tex] = 6k ( divide both sides by 6 )
10 = k
y = 10[tex]\sqrt{x}[/tex] ← equation of proportion
When y = 80 , then
80 = 10[tex]\sqrt{x}[/tex] ( divide both sides by 10 )
8 = [tex]\sqrt{x}[/tex] ( square both sides )
64 = x
Estimate: 55 +8
50
60
7
8
Answer:
60But the actual solution is 63.
Step-by-step explanation:
55+8=63
63
3<5 so you don't round up, you round down.
Rounding down... 60
60
But the actual solution is 63.