Answer to this is 8. Letter B
Plz help easy math !!
The answer is A B and E
Answer is all of these, A, B, and E.
The coordinates of the center are (0,4) and the radius is 5.
Write an equation to solve the circle in standard form.
Answer:
x² + (y - 4)² = 25
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
here (h, k) = (0, 4) and r = 5, hence
x² + (y - 4)² = 25 ← in standard form
please help me...
Problem:
The standard form of a circle is (x-h)2+(y-k)2=r2 and vertex form for the parabola, y-k=a(x-h)2. The (h,k) pair is the center of the circle and the vertex of the parabola. The radius of the circle is ‘r’ and the focal length of the parabola is f=1/(4a). For the following General Conic Equation: x2+y2-2x-4y-4=0 complete the following problems showing all your work:
A. Complete the square showing all your work to convert to Standard Form:
B. If this is a circle, state the coordinates of the center and give the radius. If this is a parabola, then state the coordinates of the vertex and give the focal length. Show all your work.
C. Sketch (or plot, or graph) the Conic. Label the point and values you found in part B. Also label the top-most, bottom-most, right-most, and left-most points on the circle or the focus and directrix on the parabola.
Answer:
Part A) [tex](x-1)^{2}+(y-2)^{2}=3^{2}[/tex]
Part B) The coordinates of the center are [tex](h,k)=(1,2)[/tex] and the radius is equal to [tex]r=3\ units[/tex]
Part C) The graph in the attached figure
Step-by-step explanation:
we have
[tex]x^{2} +y^{2}-2x-4y-4=0[/tex]
Part A) Convert to standard form
Group terms that contain the same variable, and move the constant to the opposite side of the equation
[tex](x^{2}-2x) +(y^{2}-4y)=4[/tex]
Complete the square twice. Remember to balance the equation by adding the same constants to each side
[tex](x^{2}-2x+1) +(y^{2}-4y+4)=4+1+4[/tex]
[tex](x^{2}-2x+1) +(y^{2}-4y+4)=9[/tex]
Rewrite as perfect squares
[tex](x-1)^{2}+(y-2)^{2}=3^{2}[/tex] ------> Is a circle
Part B) If this is a circle, state the coordinates of the center and give the radius.
we know that
The equation of the circle in standard form is equal to
[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex]
where
(h,k) is the center
r is the radius
In this problem we have
[tex](x-1)^{2}+(y-2)^{2}=3^{2}[/tex]
therefore
The coordinates of the center are [tex](h,k)=(1,2)[/tex]
The radius is equal to [tex]r=3\ units[/tex]
Part C) Plot the circle
using a graphing tool
see the attached figure
Joan has a gym gift card worth $100. Each time she visits the gym. $12 is deducted from the amount remaining on the gift card. Which equation can be used to determine the amount of the money (m) , in dollars, remaining on the gift card after joan visits the gym d times
The equation to calculate the remaining money on Joan's gym gift card after d gym visits is m = 100 - 12d.
Explanation:To determine the amount of money (m), in dollars, remaining on Joan's gym gift card after she visits the gym d times, you can use a simple linear equation.
Since she starts with $100 on the card, and each gym visit costs $12, you subtract $12 for each visit from the initial amount. The equation that represents this situation is m = 100 - 12d.
Here, d is the number of times she visits the gym, and m is the money remaining on the card.
A flat screen television has a 50 inch diagonal and a height of 25 inches. How wide is the television rounded to the nearest tenth?
(Use the Pythagorean Theorem)
Answer
inches
Answer: 43.3 inches.
Step-by-step explanation:
According to the Pythagorean Theorem:
[tex]a^2=b^2+c^2[/tex]
Where "a" is the hypotenuse, and "b" and "c" are the legs of the right triangle.
Let be "c" the width of the television.
We can indentify in the figure that:
[tex]a=50in\\b=25in[/tex]
Then, we can substitute values and solve for "c":
[tex](50in)^2=(25in)^2+c^2\\\\c=\sqrt{(50in)^2-(25in)^2}\\\\c=43.30in[/tex]
Rounded to the nearest tenth:
[tex]c=43.3in[/tex]
Final answer:
The width of a flat screen television with a 50 inch diagonal and a 25 inch height is found to be approximately 43.3 inches when calculated using the Pythagorean Theorem.
Explanation:
To find the width of a flat screen television with a 50 inch diagonal and a height of 25 inches, we will apply the Pythagorean Theorem. The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. Here, the diagonal is the hypotenuse (c), the height is one leg (a), and the width is the other leg (b).
The Pythagorean Theorem is written as:
a2 + b2 = c2
Using the given measurements:
252 + b2 = 502
Solving for b, we have:
b2 = 502 - 252
b2 = 2500 - 625
b2 = 1875
b = √1875
b ≈ 43.3 inches (rounded to the nearest tenth)
Therefore, the width of the television is approximately 43.3 inches.
Evaluate -5x2-3x for x= -2.
Answer:
are u a girl
Step-by-step explanation:
Answer:
-5(-2x2)-3(-2)=26
a recipe that makes 18 cookies calls for 3/4 cups of sugar. How much sugar is needed to make 2 dozen cookies using this recipe?
Answer: 1.5
Step-by-step explanation:
Dozen means a lot. If 3/4 cups of sugar is needed, 3/ multiplied by 2 = 1.5
Joe's mom gave him $40 for cutting their grass. He used the money to buy a $10.75 game and snacks that cost $3.25 each. Joe also bought a bouquet of flowers for his mom. If Joe came home with 1/4 of the money his mom gave him, how much did the flowers cost
Answer:
The flowers costed $26 but that is only if he bought 1 snack. It says snacks as in more than one but it didn't specify how many so it depends lol
Step-by-step explanation:
Given the function f(x)=6|x-2|+3, for what values of x is f(x)=39?
Answer:
The values of x are -4 and 8
Step-by-step explanation:
39=6|x-2|+3 move the 39 and 6 to the opposite sides and simplify
-6|x-2|=-36 divide both side by -6
|x-2|=6 separate it into the possible equations
x-2=6 so, x=8
or
x-2=-6 so, x=-4
A sports ball has a diameter of 16cm. Find the volume of the ball
Diameter d=16cm
d=r/2=8cm
Volume V(sphere)=4/3*pi*r^3
Therefore volume V=2145.52 cm^3
Hope this helps!
Answer:
The volume of ball = 2143.57 cm³
Step-by-step explanation:
Formula:-
Volume of sphere = (4/3)πr³
Where 'r' is the radius of sphere
To find the volume of ball
Here diameter of ball = 16 cm
Radius r = Diameter/2 = 16/2 = 8 cm
Volume = (4/3)πr³
= (4/3) * 3.14 * 8³
= 2143.57 cm³
Therefore volume of given ball is 2143.57 cm³
simplify without the absolute value
|x+3| ; if x=2
After substituting x=2 into the expression |x+3|, we get |2+3| which simplifies directly to 5, with the absolute value being unnecessary since the result is positive.
To simplify the expression |x+3| without the absolute value when x=2, we substitute the value of x into the expression. The absolute value of a number refers to the non-negative value of that number without considering its sign. Since 2 + 3 equals 5, which is positive, the absolute value is not necessary, and we can simply write the expression without it.
Therefore, |2 + 3| simplifies to 5.
Need help on how to do number 20
Answer:
J is correct
Step-by-step explanation:
You need to simplify top as
[tex](27m^{12}n^3 )(2m^2n^5p)=54m^14n^8p[/tex]
Then can easily see the correct answer is J.
Answer:
Step-by-step explanation:
If BCDE is congruent to OPQR, then BE is congruent to
Answer:
OR
Step-by-step explanation:
Answer:
Step-by-step explanation:
In simple language, two things are said to be congruent if they overlap each other i.e they have same size and shape. Angles are said to be congruent if they have same measure. Sides are congruent if they have same length .
We say that two triangles are said to be congruent if there is one to one correspondence between their angles and side.
Here, it's given that BCDE is congruent to OPQR i.e there is one to one correspondence between their sides and angles i.e
[tex]B\leftrightarrow O\,,\,C\leftrightarrow P\,,\,D\leftrightarrow Q\,,\,E \leftrightarrow R[/tex]
So, BE is congruent to OR .
Divide the sum of 8 and 12 by 4
Sum of 8 and 12 = 8+12=20
20/4 = 5
boom, 5 is the answer
Solve the system using substitution. Show all work.
y = x - 5
3x - y = 7
Solve the system using the Linear Combination Method. Show all work.
2x + 2y = 12
3x + y = 2
SHOW ALL WORK AND STEPS Please. The Teacher will not grade fully and give a failing grade without showing steps and all work.
And Don't be a freaking troll as I will report you for trolling with short improper answers.
Here is the answer I hope it helps
Please help me anyone one, please
Answer:
Step-by-step explanation:
Be sure to insert π where appropriate!
If the diameter of the yo-yo is 4 in, then the radius is 2 in.
The area comes from A = πr² and the circumference from C = πd.
In this case the area is A = π(2 in)² = 4π in² or 12.57 in².
The circumference is C = 4π in or 12.57 in.
Given: m∠MEJ=16°, Measurement of Arc MJ =5 * Measurement of Arc KL, Find: Measurement of Arc KL
Answer:
The measurement of arc KL is [tex]8\°[/tex]
Step-by-step explanation:
Let
x--------> the measure of arc KL
y-------> the measure of arc MJ
we know that
The measurement of the outer angle is the semi-difference of the arcs it encompasses.
so
[tex]m<MEJ=\frac{1}{2}(y-x)[/tex]
we have
[tex]m<MEJ=16\°[/tex]
[tex]y=5x[/tex]
substitute the given value
[tex]16\°=\frac{1}{2}(5x-x)[/tex]
[tex]32\°=(4x)[/tex]
[tex]x=8\°[/tex]
therefore
The measurement of arc KL is [tex]8\°[/tex]
A scientist is performing an experiment with a certain type of mold which is spreading every quarter of an hour. The function below represents the area covered by the mold after t hours.
The area covered by mold ___ by ___ % ___.
first blank: decreases, increases
second blank: 104, 4, 17, 8
third blank: every 15 minutes, every hour, every 4 minutes, every 30 minutes
fill in each blank with one of the options. Thank you!!
Answer:
"The area covered by mold increases by 4 % every 15 minutes."
Step-by-step explanation:
Since the mold is "spreading", the area is obviously, increasing.
By how much???
We can look at the function. The increasing factor is (1.04). The increasing factor is the part OVER 1, we have 4 units OVER 1, so it is increasing by 4%.
Since, the mold is spreading every QUARTER OF AN HOUR, this means 1/4th of an hour.
An hour is 60 minutes, 1/4 of 60 = 15 minutes. Hence, it is increasing every 15 minutes.
To complete the statement:
The area covered by mold increases by 4 % every 15 minutes.
Answer:
i believe its every hour not 15 minutes
Step-by-step explanation:
Find an explicit formula for g(n)?
Answer:
g(n) = 11n
Step-by-step explanation:
Note that the values of g(n) are 11 times the corresponding values of n
Hence
g(n) = 11n
What’s the side of 200cm in a square
To find the length of a side of a square fins the square root of the area.
Area = 200 cm^2
Side = √200
Side = 10√2 (Exact length)
or 14.142 cm's ( round the decimal answer as needed.)
If X = 10 cm, Y = 24 cm, and Z = 26 cm, what is the tangent of A?
2.4cm is the tangent of A
Final answer:
The tangent of angle A, with angle A opposite side X in a right triangle where X = 10 cm and Y = 24 cm, is approximately 0.4167.
Explanation:
If we have a triangle with sides X = 10 cm, Y = 24 cm, and Z = 26 cm, we can use the tangent function to determine the tangent of angle A, assuming that angle A is opposite the side X. Using the fact that the y-axis passing through the third charge bisects the 24-cm line, we create two right triangles of sides 5, 12, and 13 cm, indicating that the triangle in question is in fact a right triangle, with the two smaller sides being X and Y, and the hypotenuse being Z.
Using the definition of tangent, which in a right triangle is the ratio between the side opposite to the angle and the side adjacent to the angle, the tangent of angle A would be tan(A) = opposite / adjacent. In this triangle, that would mean:
tan(A) = X / Y = 10 cm / 24 cm
Calculating this gives us:
tan(A) ≈ 0.4167
Therefore, the tangent of angle A is approximately 0.4167.
Which geometric series converges ? I still don’t understand . Can someone explain the answer and WHY !
Answer:
B
Step-by-step explanation:
A geometric series will only converge if the common ratio r meets the requirement
- 1 < r < 1
The n th term of a geometric sequence is
[tex]a_{n}[/tex] = a[tex]r^{n-1}[/tex]
where a is the first term and r the common ratio
All terms inside the summation are of this form
The only one with - 1 < r < 1 is B where r = [tex]\frac{3}{4}[/tex] = 0.75
The series with the common ratio 2/3 and 3/4 converge. That is option A. [tex]sum n = 1 to ∞ 1/6 * (4)^(n-1)[/tex] and option B. [tex]sum n = 1 to ∞ 5 * (3/4)^(n-1)[/tex]
How did we arrive at these assertions?To determine whether a geometric series converges or diverges, we need to examine the common ratio (r) of the series. A geometric series converges if the absolute value of the common ratio is less than 1 (|r| < 1). It diverges if the absolute value of the common ratio is greater than or equal to 1 (|r| ≥ 1).
Let's analyze each series:
1. [tex]sum n = 1 to ∞ 1/6 * (4)^(n-1)[/tex]
The common ratio in this series is 4/6, which simplifies to 2/3. Since |2/3| < 1, this series converges.
2. [tex]sum n = 1 to ∞ 5 * (3/4)^(n-1)[/tex]
The common ratio in this series is 3/4. Again, |3/4| < 1, so this series also converges.
3. [tex]sum n = 1 to ∞ 3 * (7/5)^(n-1)[/tex]
The common ratio in this series is 7/5. However, |7/5| > 1, which means the series diverges.
4. [tex]sum n = 1 to ∞ 1/9 * (1)^(n-1)[/tex]
The common ratio in this series is 1. Since |1| ≥ 1, this series also diverges.
In summary:
- The series with the common ratio 2/3 and 3/4 converge.
- The series with the common ratio 7/5 and 1 diverge.
The reason behind this is that when the absolute value of the common ratio is less than 1, each subsequent term in the series becomes smaller and smaller. As a result, the sum of the series approaches a finite value. Conversely, if the absolute value of the common ratio is greater than or equal to 1, the terms in the series do not decrease enough, causing the sum to increase without bound, leading to divergence.
learn more about geometric series: https://brainly.com/question/24643676
#SPJ6
A circle has a sector with area 3/2pi and central angle of 60 what is the area of the circle?
Answer:
The area of the circle is [tex]9\pi \ units^{2}[/tex]
Step-by-step explanation:
we know that
A circle has a sector with area [tex]3\pi/2[/tex] and central angle of 60 degrees
The area of a complete circle subtends a central angle of [tex]360\°[/tex]
so
using proportion
Find the area of the circle
[tex]\frac{(3\pi/2)}{60} =\frac{x}{360}\\ \\x=(3\pi/2)*360/60\\ \\x=9\pi \ units^{2}[/tex]
Answer:
[tex]A = 9\pi[/tex]
Step-by-step explanation:
The total area of the circle is determine by simple rule of three:
[tex]A = \frac{360^{\textdegree}}{60^{\textdegree}} \cdot \left(\frac{3}{2}\pi\right)[/tex]
[tex]A = 9\pi[/tex]
Plz help me with this
Answer: A) 2.26
Step-by-step explanation:
[tex]log_3(12) = \dfrac{log(12)}{log(3)}=\dfrac{1.079}{0.477}=\large\boxed{2.26}[/tex]
which statement is true about the value of the expression below (-2^3)^-2
1. it is between 0 and 1.
2. it is greater than one
3. it is less than -1
4. it is between -1 and 0
-2^3 will be -8 (we know it certainly)
(-8)^-2 =( 1/(-8) )^2 then we know , when we have power 2 for parentheses,can ignore the negativity : 1/64 and we know 0<1/64<1
So 1 is correct!!
Answer:it is between 0 and 1
Step-by-step explanation:
Find the area of the triangle with a= 18.8, b= 11.6, c= 13.8. Round to the nearest tenth.
Answer:
B. 79.7 units^2
Step-by-step explanation:
got it right on edge :)
what sum 0.834,0.08 0.00034, and 0.8003
Answer:
1.72364
Step-by-step explanation:
For this case we must indicate the sum of the following decimal expressions:
[tex]0.834\\0.08\\0.00034\\0.8003\\----\\1.71464[/tex]
We add from right to left keeping the order, or we can also enter the expressions in a calculator.
Answer:
1.71464
whats the slope. review but i forgot (//_^)
Answer:
slope = 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (2, 5) and (x₂, y₂ ) = (- 5, - 2)
m = [tex]\frac{-2-5}{-5-2}[/tex] = [tex]\frac{-7}{-7}[/tex] = 1
How many times greater is the value of the 2 in 270,413 than the value of the 2 in 419,427?
It is 4 down the value so just do tens hundreds,thousands
Answer: 10,000
Step-by-step explanation:
will give brainiest Please help me!!
Instead of using the values {1,2,3,4,5,6}
on dice, suppose a pair of dice have the
following: {1,2,2,3,3,4} on one die and
{1,3,4,5,6,8} on the other. Find the
probability of rolling a sum of 2 with
these dice. Be sure to reduce.
Answer
1/12
3/8
4/6
reduce them there are three answers
Answer:
1/36
Step-by-step explanation:
There are 6 sides on each dice.
Total number of possible combinations
= 6 x 6
= 36
Possible combinations that have a sum of 2
= (1, 1)
Total number of combinations that will give a sum of 2
= 1
P(of rolling a sum of 2)
= 1/36