The constant sum for the ellipse with the foci (-5,5) and (0,7) and the point (0,5) is 7
How to determine the constant sum?The foci of the ellipse are given as:
F1(−5, 5) aF2(0, 7)
The point is then given as:
Point (0, 5)
Calculate the distance between each focus and the point using:
[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}[/tex]
So, we have:
[tex]F_1 = \sqrt{(-5-0)^2 + (5-5)^2}[/tex]
Evaluate
[tex]F_1 = 5[/tex]
Also, we have:
[tex]F_2 = \sqrt{(0-0)^2 + (7-5)^2}[/tex]
Evaluate
[tex]F_2 = 2\\[/tex]
The constant sum is then calculated using:
Constant sum = F1 + F2
So, we have:
Constant sum = 5 + 2
Evaluate
Constant sum = 7
Hence, the constant sum is 7
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Bradley cut a square hole out of a block of wood in wood shop. If the block was cube-shaped with side lengths of 8 inches, and the hole had side lengths of 5 inches, how much wood was left after the hole was cut out?
A.
387 cubic inches
B.
512 cubic inches
C.
39 cubic inches
D.
312 cubic inches
Answer:
The Correct answer is D. 312 Cubic inches.
Hope this helps you!!
Please Mark me Brainleast!!
Answer:
The Correct answer is D. 312 Cubic inches.
Hope this helps you!!
Please Mark me Brainleast!!
HELP!!! ASAP!!
Given: ABCD is an inscribed polygon.
Prove: ∠D and∠B are supplementary angles.
Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line.
What are supplementary angles?Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two-two angles are two pairs of supplementary angles. That means, that if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.
ABCD is an inscribed polygon ⇒ Given
m∠ABC = 2(m∠D) ⇒ Inscribed Angle Theorem
m∠CDA = 2(m∠B) ⇒ Inscribed Angle Theorem
m∠ABC + m∠CDA = 360° ⇒ The sum of arcs that make a circle is 360°
2(m∠D) + 2(m∠B) = 360° ⇒ Substitution property
m∠D + m∠B = 180° ⇒ Division Property of Equality
Hence, ∠D and ∠B are supplementary angles
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Use 24x -2 +2 >34 to figure out how much jimmy spent on his Fanta
Answer:
x > 1.42 or x > 17/12
Step-by-step explanation:
24x - 2 +2 >34
The -2 and +2 cancel out
24x > 34
Now, we need to get x alone
24x/24 > 34/24
x > 34/24
34/24 can be simplifed too 17/12 by dividing by 2
x > 17/12
So Jimmy spent more than $1.42 on his Fanta
Let me know if you have any questions !
What is the solution set of equation x2 + 3x - 4 = 6?
Please i need your help
Answer:
See below ~
Step-by-step explanation:
a) There are 3 feet in one yard.
b) There are 12 inches in one foot.
c) Two abbreviations for inches is in. and ".
d) Two abbreviations for feet is ft. and '.
People leaving a movie were randomly asked their age. The results are show below. What graph would best display the data, if you were only concerned about the shape and spread of the data, and not specific data? Select all that apply.
7, 37, 45, 78, 24, 97, 12, 17, 43, 56, 69, 63, 76, 23, 50, 38, 45, 57, 4
box plot
dot plot
histogram
stem-and-leaf plot
The histogram and stem and leaf plot would be the best choices if you were only concerned about the shape and spread of the data.
What is a histogram?
It is defined as the depiction of numerical data in a graph using a bar with no space. The histogram depicts the approximate distribution of the data.
We have data:
7, 37, 45, 78, 24, 97, 12, 17, 43, 56, 69, 63, 76, 23, 50, 38, 45, 57, 4
We know on the left side skewed histogram has more data on the right and on the left side, there are less data. It is also called a negatively skewed histogram.
On the right side skewed histogram, there is less data on the right side and more data on the left side. It is also called a positive histogram.
Thus, the histogram and stem and leaf plot would be the best choices if you were only concerned about the shape and spread of the data.
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Work out the difference between 25 and of 81 2/9
That is the differnce between the 2 numbers and it is in a negative because the second number was bigger than the first number so if you don't need the negative don't put it in your answer
-56.22 is the difference between 25 and [tex]81\frac{2}{9}[/tex]
What is Fraction?A fraction represents a part of a whole.
A proper fraction has a numerator that is less than its denominator .
An improper fraction has a numerator greater than its denominator.
An improper fraction is always greater than one whole.
We need to find the difference between 25 and of [tex]81\frac{2}{9}[/tex]
Difference is nothing but subtraction. We need to subtract [tex]81\frac{2}{9}[/tex] from 25
25 - [tex]81\frac{2}{9}[/tex]
25-731/9
25×9-731/9
225-731/9
-506/9
=-56.22
Hence -56.22 is the difference between 25 and [tex]81\frac{2}{9}[/tex]
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please help me factor this
Answer:
(x+24)(x-2)=0
Step-by-step explanation:
2*-24=-48
factorise -48 to get 24 and -2 (which will add up to 22)
The radius of a circle is 18 miles. What is the circle's circumference?
Use 3.14 for .
radius= 18 miles
to find:the circumference of the circle.
solution:[tex]c = 2\pi \: r[/tex]
[tex]c = 2 \times 3.14 \times 18[/tex]
[tex]c = 113.04[/tex]
[tex]c = 113\: miles[/tex]
hence, the circumference of the circle is 113 miles.
Find the exact value of ..
Х
15
6
Find the approximate radius of a circle with a
circumference of 41.78 centimeters.
Answer:
radius=6.65cm
Step-by-step explanation:
circumference=41.78cm
2×22\7×r=41.78cm
r=41.78×7\44
r=6.65cm
Determine if the expression - x^3 y^5 / 3 is a polynomial or not. If it is a polynomial, state the type and degree of the polynomial.
The given expression _____ a polynomial.
Answer:
it is not a polynomial it has no degree either .. and we only classify polynomials in accordance with their degrees
Goldie's apple juice boxes hold 6.9 ounces. If there are 8 boxes in a package, how many ounces of apple juice are in a package?
Rafael's chocolate bar is 37% cocoa. If the weight of the chocolate bar is 96 grams, how may grams of cocoa does it contain? Round your answer to the nearest tenth.
You can use the weight of the chocolate bar given and find its 37% to get the weight of cocoa used in it.
The weight of cocoa in the given chocolate bar is 35.52 grams.
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
Since weight of cocoa = 37% percent of chocolate bar's weight which is 96 gram,
Thus,
[tex]weight[/tex] [tex]of[/tex] [tex]cocoa=\frac{37}{100}[/tex] × [tex]96=35.52[/tex]Thus,
The weight of cocoa in the given chocolate bar is 35.52 grams.
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Bridget is tracking the amount of time she works out at the gym each day. The lengths of her
last 5 workouts were:
41 minutes 43 minutes 42 minutes 46 minutes 46 minutes
What was the range of the lengths of Bridget's workouts?
Answer:
The range is 5 minutes.
Step-by-step explanation:
To find the range of a data set, simply subtract the lowest value from the highest value.
46 - 41 = 5
Hope this helps
Carlos buys 3 gallons of juice for a party. What is the greatest number of cups of
juice he can serve?
24 cups
16 cups
96 cups
48 cups
Answer:
48
Step-by-step explanation:
1 gallon=16 cups. So, 3x16=48 cups.
Hhhhhhhhhhhhhhhhhhhhhhhhhhhh
Answer:
Abd
Step-by-step explanation:
upright
up
as the height increase the weight also does
Question 16 of 40
A sample of 64 was taken from a population, with the mean of the sample
being 25 and the standard deviation of the sample being 2. What is the 95%
confidence interval for the mean of the population?
OA. (24.75, 25.25)
OB. (24,26)
OC. (24.5, 25.5)
OD. (24.2, 25.8)
4
SUBMIT
sarah can make 3/5 of a necklace in 15 minutes. At this rate, how many necklaces, to the nearest tenth of a necklace, can sarah make in 1 hour?
ANSWER ASSAP PLSSSSSSSSSS
Answer:
She can make 2 2/5 necklace in one hour
Step-by-step explanation:
60/15=4 so she makes 3/5*4=12/5=2 2/5
i need help 7th grade math
Answer: 216
Step-by-step explanation:
5/4 = 120/x
cross multiply
480 = 5x
divide 480 by 5
x = 96
there are 96 women
96+120 = 216
The total number of people is 216
Drag the operations into the order in which they should be performed to evaluate the expression below. 7 × 6 ÷ ( 13 − 10 ) + 4 addition division multiplication subtraction PLES HELP I WILL GIVE BRAINLYEST
Answer:It's 18
Step-by-step explanation:Multiply 7 and 6 to get 42
Subtract 10 from 13 to get 3
Divide 42 by 3 to get 14
Add 14 and 4 to get 18
Answer:
18
Step-by-step explanation:
First do the ones inside the bracket (13-10)=3
Second divide 6 by the answer you get from the first part 6÷3=2
Third multiply the answer from second with 7×2=14
Then add the answer you get from the third one to 4+14=18
Mathematically
7×6÷(13-10)+4
= 7×6÷3+4
= 7×2+4
= 14+4
= 18 Answer
14
Select the correct answer from each drop-down menu.
Given: AOB~ XEOF
Prove:
BOC~ DOE
A
B
E
F
Complete the proof.
Suppose that BOC# *DOE
. By the vertical angles theorem,
. By the transitive property,
◆, which contradicts the given. Therefore, XBOC DOE
and
, and
Using the vertical angles theorem and the transitive property, we have proven that ∠BOC ≅ ∠DOE as shown below.
Geometry
From the question, we are to prove that ∠BOC ≅ ∠DOE
We are given that
∠AOB ≅ ∠EOF
By vertical angles theorem, we can observe that
∠AOB ≅ ∠DOE and ∠BOC ≅ ∠EOF
Then,
By the transitive property
∠AOB ≅ ∠BOC and ∠EOF ≅ ∠DOE
Therefore, ∠BOC ≅ ∠DOE
Hence, the two angles are equal as proven above.
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Here are the answers -
Vert angl theorem: angle AOB is congruent to angle DOE
and: angle BOC is congruent to angle EOF
Transitive Prop: angle EOF is not congruent to angle DOE
and: angle AOB is not congruent to angle EOF
Cheers!
What is the length of one side cube?
Answer:
Step-by-step explanation:
1 unit
In a packet of 40 Skittles, 12 are red. What percentage of the Skittles are red?
Answer:
12/40×100= 30%
Step-by-step explanation:
12/40×100 = 12/2×5 =6×5= 30%
i got a question what is 2x92
Answer:
184
Step-by-step explanation:
Answer:
184 184 184 184 184 184
Step-by-step explanation:
184
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER. What is m<2.
Answer:
32
Step-by-step explanation:
because it 's a antiparallelogram so 3=2, 1=32
help me pls and stop deleting questionssss
Answer:
ok 11.5
Step-by-step explanation:
ok
Answer:11.5
Step-by-step explanation:
Mystery Measures
Determine as many angle measures as you can by
creating different designs.
Record your results and strategies on the worksheet.
Answer:
four squares or 3 hexagons
Please answer . Just read and give the exact answer to each question ( please be numbered )
4. B. 2 yards
5. C. 440 Millimeters
6. 2000 milliliters
What was discovered because of the changing phases of the moon? Please Help!!! Will Give Lots Of Points!
the moon's quarters
the moon's light source
the moon's eclipse
the moon's quarters
Answer:
Firstly, the moon keeps changing its shape with 4 distinct moon phases that depend on the position of the moon and also on the position of the Earth. The moon orbits around the planet Earth, and the Earth orbits around the Sun.
Step-by-step explanation:
Answer:
what is the process
Step-by-step explanation: