Answer:
The center is (5, -6) with a radius of r
Step-by-step explanation:
First put the equation in Standard Form for a circle:
(x + a)² + (y + b)² = r²
Now, Group the term
x² + y² - 10x - 12y + 45 = 0
x² - 10x + y² - 12y = - 45
Then, The x and y terms must be perfect squares
x² - 10x + 25 + y² - 12y + 36 = - 45 + 25 + 36
add constant both sides we get,
x² - 10x + 25 + y² - 12y + 36 = 16
Now, Simplify
(x - 5)² + (y + 6)² = 16
√(x - 5)² + (y + 6)² = √16
x - 5 + y + 6 = 4
Here, (a,b) = (5, -6) and r² = 16, with r = 4
Thus, The center is (5, -6) with a radius of r
-TheUnknownScientist 72
sum out war world 1 in a very short summary
Archduke Ferdinand is killed. During the conflict, Germany, Austria-Hungary, Bulgaria and the Ottoman Empire (the Central Powers) fought against Great Britain, France, Russia, Italy, Romania, Japan and the United States (the Allied Powers). In the end after 4 years the Allied Powers won. 16 million people were killed. Germany was put to account for everything in the Treaty of Versailles.
Hope that helps
It requires 350 joules to raise a certain amount of a substance from 10. 0°C to 30. 0°C. The specific heat of the substance is 1. 2 J/g°C. What is the mass of the substance? 12 g 15 g 18 g 30 g.
The correct option is B which is 15 g.
Given to us:
the heat [tex]Q= 350\ Joules[/tex],
the specific heat [tex]c= 1.2\ J/g\ ^o C[/tex],
the lower temperature [tex]t_1= 10^o C[/tex],
the higher temperature [tex]t_2= 30^o C[/tex],
Formula for specific heat:
[tex]Q=mc(\Delta T)[/tex]
where,
[tex]m[/tex] is the mass,
[tex](\Delta T)[/tex] is the temperature difference,
Putting in the values;
[tex]350=m\times 1.2\times (30-10)\\\\m= \dfrac{350}{1.2\times (30-10)} \\\\m=14.5833 grams[/tex]
Hence, the mass is 14.5833 grams. therefore, the correct option is B which is 15 g.
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Given that the shape is a kite and Angle A=25, Angle C=85, what is Angle
D?
Answer:
m∠D = 165°
Step-by-step explanation:
∠B and ∠C are congruent, so ∠B = 85°
The angles of the kite all added together have to add up to 360°
85 + 85 + 25 + x = 360
195 + x = 360
x = 165
Answer:
m∠D = 165°
Step-by-step explanation:
∠B and ∠C are congruent, so ∠B = 85°
The angles of the kite all added together have to add up to 360°
85 + 85 + 25 + x = 360
195 + x = 360
x = 165
Which of the following is statement is TRUE about mixed numbers?
A. A whole number and an improper fraction.
B. A whole number and a mixed forms.
C. A whole number and a proper fraction.
D. A whole number, remainder and similar fraction
Question 47 of 55
Expression A: 3(x + 1)
Expression B: 3x+3
Which statement does not show that these expressions are equivalent?
A. Both expressions involve addition
B. The expressions name the same number regardless of the value
of x
C. 3(x+ 1) can be rewritten as 3x+ 3 using the distributive property.
D. Substituting any value of x makes the expressions equivalent.
SUBMIT
Answer:
D
Step-by-step explanation:
Substituting any value of x does not make the expressions equivalent. Replacing x for any two different values would equate to different unequal values.
Evaluate (35 = x)
2 when x = 7
O A. 3
O B. 7
O c. 5
O D. 26
I will give brainiest points
Answer:
the answer : a
equation : 35 = x
35 = 7
35/7 = 5
5-2 = 3
Hey there!
(35 ÷ x) - 2
= (35 ÷ 7) - 2
= (5) - 2
= 5 - 2
= 3
Therefore, your answer is: Option A. 3
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Which equation equals to 105
34+12*74=
12+1*56=
88+66-49=
34+61-7=
157-43+900
(Need an image if it’s gonna work!)
Jon buys a shirt for $40 and then buys socks for $15. He lives in Maine and their
sales tax rate is 5%. How much will his sales tax be?
Jon pays $40 and $15. This means that he pays a total of $55. You multiply the total cost by 0.05, which is $2.75. To convert a number to a percentage, multiply it by 100. So, 0.05 as a percent is equal to 5%.
His sales tax will be $2.75.
Match the example on the left with the corresponding property on the right.
3(x - 2) = 3x - 6
Commutative
3+ (4 + 5) = (3 + 4) + 5
Associative
- 4x - 8 = – 2(2x + 4)
Distributive
4.5.6=6.4.5
(2.3). 7 = 2 · (37)
3(x - 2) = 3x - 6 ---> Distributive
3+ (4 + 5) = (3 + 4) + 5 ---> Associative
- 4x - 8 = – 2(2x + 4) ---> Distributive
4.5.6=6.4.5 ---> Commutative
(2.3). 7 = 2 · (37) ---> Associative
is y in y + 2z + 45 + 5x a constant?
Answer:
See below
Step-by-step explanation:
No, a constant is a number without a variable ( variables are represented with a letter )
y is a variable as it is a letter.
The constant in y + 2z + 45 + 5x would be 45 as it has no variable.
David has $90 to spend on sneakers. The sales tax in his state is 6%.
Vincent has $95 to spend on sneakers. The sales tax in his state is 9%.
Both boys are interested in a pair of sneakers that costs $86. Who will be able to buy the sneakers?
Answer:
Vincent will be able to buy the sneakers, while David will not be able too.
Step-by-step explanation:
I believe this is true because for David,
6% of 86$ is 5.16$
so 86 + sales tax (which is 5.16) = 91.16$
David only has 90$ so he can't afford the sneakers. They are 1.16$ over his budget.
While for Vincent,
9% of 86$ is 7.74$
so 86 + sales tax (which in this case is 7.74) = 93.74
Vincent has 95$ to spend so he can afford the shoes.
I am not exactly sure if all calculations are correct, but I hope this helps! :)
Answer:
Vincent
I took the test on edg
NEED HELP ASAP 50 POINTS PLEASE DO ALL OF THEM !!!!!in the item Bank are key terms and expressions, each of which is associated with one of the columns. Some terms may display additional information when you click on them. Drag and drop each item into the correct column. Order does not matter. 1 2 4 3 5/6 7 8 ITEM BANK Move to Bottom 1&8 267 3 &5 3 & 6 3 & 8 4 & 5 4 & 6 4&7 Alternate Interior Zs Corresponding Ls Alternate Exterior Zs Consecutive Interiors 1 & 5 2 & 6
Answer:
the top two on the right hand corner go in coressponding the one by the middle of the top row gos in alternative int and the far left gos in alt in bottom two go in cosecutive the middle far right go alt int middle row far left consecutive interior left gos alt ext and middle row right gos alt
Step-by-step explanation:
Sorry if this is late lol. Hope this helps other people too though.
Alternative interior
4 & 6
3 & 5
Corresponding
1 & 5
4 & 7
2 & 6
3 & 8
Alternative
1 & 8
2 & 7
Consecutive
4 & 5
3 & 6
is it 3 pls help for brainly
Answer:
Step-by-step explanation:
First, let’s flip the first term.
2^-x = 8^2-x
we can take ^3 out of the 8 to simplify
2^-x = 2^3(2-x)
-x = 3(2-x)
Now we solve for x.
x = 6
Hope this helps!
please solve quickly
Step-by-step explanation:
aVolume = length ×width × height
therefore
5cm× 6cm×2cm=volume
60cm³= volume
the volume is 60cm³bVolume = length ×width × height
1200mm³=20mm×10mm×H
1200mm³=200mm²×H
1200mm³/200mm²=200mm²/200mm²×H
6mm= H
the height is 6mm cVolume = length ×width × height
72m³=L×3m ×6m
72m³= L× 18m²
72m³/18m²= L×18m²/18m²
4m =L
the length is 4mdVolume = length ×width × height
256cm³=8cm ×w×8cm
256cm³=64cm²×w
256cm³/64cm²=64cm²/64cm²×w
4cm=w
the width is 4cm eVolume = length ×width × Height
379.6m³=5.2m×7.3m×H
379.6m³=37.96m²×H
379.6m³/37.96m²=37.96m²/37.96×H
10m=H
the height is 10mfVolume = length ×width × Height
288mm³=L×12mm×8mm
288mm³= L×96mm²
288mm³/96mm²= L×96mm²/96mm²
3mm=L
the length is 3mm.Dr. W Sweet Rides Car Rental charges a flat fee of $24 and an additional $0.35 for every mile the car is driven. Which function models the total cost, C(x), of renting a car for x miles?
If you drive 40 miles, how much can you expect to pay?
Step-by-step explanation:
this is a strange rental company charging no daily fees.
but ok.
so, we have a fixed part of the cost : $24
we have to pay that no matter how many miles we drive. even for 0 miles, just to get the keys to the car.
and then we pay $0.35 for every mile driven.
that makes our function
C(x) = 0.35x + 24
and if we drive 40 miles, that makes x = 40.
C(24) = 0.35×40 + 24 = 14 + 24 = $38
it would cost us $38.
Write an equation using point-slope for
(-2, -3), (-1,6)
Step-by-step explanation:
please mark me as brainlest
Need help ASAP! Directions in picture ;)
Answer:
Simplifying
X + 59 + 84 + X + 51 = 180
Reorder the terms:
59 + 84 + 51 + X + X = 180
Combine like terms: 59 + 84 = 143
143 + 51 + X + X = 180
Combine like terms: 143 + 51 = 194
194 + X + X = 180
Combine like terms: X + X = 2X
194 + 2X = 180
Solving
194 + 2X = 180
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
Add '-194' to each side of the equation.
194 + -194 + 2X = 180 + -194
Combine like terms: 194 + -194 = 0
0 + 2X = 180 + -194
2X = 180 + -194
Combine like terms: 180 + -194 = -14
2X = -14
Divide each side by '2'.
X = -7
Simplifying
X = -7
Help please.........
If f(x) = x2 + x - 8, find f(-3).
Answer:
-17
Step-by-step explanation:
it's telling you to replace x with -3.
You have to replace all the x's with -3.
(-3)2 + (-3) - 8 = -17
5 3/5 divide by 2 2/3
Answer 2 1/10
work is shown in the picture above. I hope this helps.
Which of the following is the missing reason? Statements Reasons two thirds times x plus 7 equals negative 5 Given 2x 21 = â’15 Multiplication Property of Equality 2x = â’36 Subtraction Property of Equality x = â’18 ? Division Property of Equality Distributive Property Addition Property of Equality Subtraction Property of Equality.
The correct option is B. Distributive property
Given,
[tex]\frac{2}{3} x+7=-5\\[/tex]
On solving the above equation,
multiplying both sides by 3 we, get
[tex]2x+21=-15[/tex]
now subtracting 21 from both the sides,
[tex]2x=-36\\[/tex]
dividing both the sides by 2 we get,
[tex]x=-18[/tex]
Since in the above steps we follow all the giving property except the distributive property.
Hence the correct option is B. Distributive property.
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Marking brainliest
What do you thinks this means and why does it matter
Answer:
You didnt put anything for me to see lol
Step-by-step explanation:
Tina needs 36 flowers for her next project. The flowers are sold in bunches
of 5.How many bunches will she need?
over the course of 12 hours the temperature changes a total of -16 Celsius what is the average change in the temperature in 1 hour
Answer:
-1.33 degrees Celsius
Step-by-step explanation:
Divide -16 by 12.
find the smaller of 2 consecutive numbers if the sum of the smaller and twice the larger is -4
Answer:
2
Step-by-step explanation:
n = the smaller even integer
n +2 = the next even integer
The wording of the question translates into:
2n + (n+2) = -4
3n +2 = -4
3n = -6
n = -2
Write an equation for a line parallel to the line y = 1/3 * x - 4 that passes through (- 3, 2)
Answer:
B. y = 1/3x + 3
Step-by-step explanation:
Answer: I think the answer is B
There are visitors at home. Michelle made 10 and 3/5 cups of tea while Leslie made 9 and 2/5 cups of tea. How many cups of tea did the two sisters make for the visitors? *
Answer:
20 cups
Step-by-step explanation:
Michelle: 10 3/5 cups made
Leslie: 9 2/5 cups made
Steps:
First, let's turn each number into decimal form.
10 3/5 = 10.6
9 2/5 = 9.4
Then, add
9.4 + 10.6 = 20
Conclusion
They made 20 cups in all
Note:
Hope this helped :)
Have a nice day
Reply with any questions or concerns please :D
Help me please I do not want a bot answering with a link
[tex]\text{Given that,}\\\\\text{First term,}~ a_1= -\dfrac 16\\\\\text{Common ratio,}~ r = 2 \\\\\text{nth term}~ a_n = a_1 r^{n -1} = -\dfrac 16 \left(2^{n-1}\right)[/tex]
If cosine theta = -2/5 and tangent theta > 0, what is the value of sine theta?
[tex]\text{Given that,}\\\\\cos \theta = -\dfrac 25 \\\\\implies \cos^2 \theta = \dfrac 4{25}\\\\\\\implies 1- \sin^2 \theta = \dfrac{4}{25}\\\\\\\implies \sin^2 \theta = 1-\dfrac{4}{25}\\\\\\\implies \sin^2 \theta =\dfrac{21}{25}\\\\\\\implies \sin \theta = \pm \sqrt{\dfrac {21}{25}} = \pm \dfrac{\sqrt{21}} 5\\\\\text{Since}~ \tan \theta>0,~ ~\text{the value of} ~\sin \theta ~\text{wii be:} \\\\\sin \theta = -\dfrac{\sqrt{21}}5[/tex]
A coconut cream pie recipe uses 6 ounces of crearn cheese, 12 ounces of condensed milk, and 10 ounces whipped topping In simplest form, how many ounces of cream cheese are there for every ounce of condensed milk?
Answer:
1 oz of cream cheese to every 2 oz of condensed milk
Step-by-step explanation:
We can completely disregard whipped topping because it does not ask for it.
We have 6 ounces of cream cheese to 12 ounces of condense milk. We can write this as a ration:
6:12
6 oz cream cheese:12 oz condensed milk
The question is basically asking to simplify 6:12
Since the greatest commond factor is 6, we can divide both sides by 6 and get:
1:2
Therefore, there is 1 oz of cream cheese to every 2 oz of condensed milk