The circle below is centered at the point (3,-4) and has a radius of length 3.
What is its equation?
-5
D. (x-3)² + (y-4)² = 9
A. (x-4)² + (y+ 3)² =
32
B. (x+4)² + (v- 3)² =
32
C. (x-3)² + (y + 4)² = 9
The equation of the circle is given by (C) (x-3)² + (y + 4)² = 9
All points in a plane that are at a specific distance from a specific point, the center, form a circle. In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant. The radius of a circle is the separation between any point on the circle and its center.
The equation of the circle in the general form is given by the
(x-a)²+(y-b)²=r²
Where (a,b) is the co-ordinates of the center of the circle and the radius is r.
Now the center of the circle is given at (3,-4) and the radius is r.
We know that the general equation of a circle is [tex]{\displaystyle (x-a)^{2}+(y-b)^{2}=r^{2}}[/tex]
Substituting the values in the equation we get:
(x-3)²+(y-(-4))²=(3)²
or, (x-3)²+(y+4)²=9
Hence the equation of the circle is (x-3)² + (y + 4)² = 9.
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3 to the 4th power minus -6 to the 2nd power
A 48-foot rope is cut into three lengths. The second length of rope is twice the first length. The third length of rope is one-fifth the first length. What is the third length?
The length of the third part of the rope is 4 feet.
Given that A 48-feet rope is cut into three length. The second length of the rope is twice the first length. The third length of rope is one-fifth the first length
Let's assume the length of the 1st part is "x".
Then the length of the second part is "2x". and the length of the third part is "[tex]\frac{x}{5}[/tex]".
The total length of rope is 48 feet
⇒x+2x+[tex]\frac{x}{5}[/tex]= 48 feet
⇒3x+[tex]\frac{x}{5}[/tex]= 48 feet
⇒[tex]\frac{16x}{5}[/tex]= 48 feet
⇒ x= 20 feet.
Therefore, The length of the third part of the rope is 4 feet.
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evaluate
the expression when
C = 6 and Y = -7
7-у
Answer:
14
Step-by-step explanation:
7-(-7)=14 so the answer is 14
Answer:
14
Step-by-step explanation:
The expression 7-y
when y= -7
becomes by substitution of y with -7
7-(-7) = 7+7 = 14
What is the answer pls?
Step-by-step explanation:
X+10+4X-12=83
5X-2=83
+2. +2.
5X=85
÷. ÷
5. 5
X=17
Now you plug it in:
(17)+10= 27=ABC°
ABD°=83
4(17)-12= 56 = DBC°
ABD would be the total of ABC and DBC since it's basically those 2 combined.
O Associative Property of Multiplication
Zero Property of Multiplication
Identity Property of Multiplication
3. 270.0=0
I will mark brainliest
Answer choices are:
K
P
J
M
Answer:
K
Step-by-step explanation:
Well, P is quadrant 1
K is quadrant 2
M is quadrant 3
J is quadrant 4
Answer:
Quadrant II is letter K.
Hope this helps :)
Simplify the expression. (Remember the order of operations.)
[18-(-11)]-[22+(-18)
Vincent earns $796 on Monday and he earns $218 on Tuesday. How much total money does Vincent
earn?
Answer:1014$
Step-by-step explanation:796
+214
1014
1) Identify a number that makes the
statement below true. Show work to justify
your answer.
-5.8+
= a positive number
r
The number that makes the statement is -5.8 + 6.8 = 1 > 0 so, the statement is -5.8 + 6.8 = a positive number is true statement.
The number that makes the statement is,
Based on given conditions , formulate,
-5.8+ _ = a positive number
Let us assume,
We can take positive number is '1'
Then, we can write,
⇒ 1 - (-5.8)
We can negative sign and negative signs are shows to positive sign,
⇒ 1 + 5.8
We can sum or difference in the product,
⇒ 6.8
Hence,
⇒ -5.8 + 6.8
⇒ 1
So, 1 is positive number.
Then, -5.8 + 6.8 = 1 > 0
Therefore, The number that makes the statement is -5.8 + 6.8 = 1 > 0 so,
-5.8 + 6.8 = a positive number.
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La o scoala s au adus 26 de colete a cate 9abecedare si 271 de colete a cate 7carti de matematica .Cate manuale s au primit in total?
Answer:
2131
Step-by-step explanation:
26×9=234
271×7=1897
234+1897=2131
What is the value of expression below when w = 4?
3w^2 - 3w + 8
Answer: 44
Step-by-step explanation:
[tex]3w^{2} -3w+8[/tex]
w=4
Plug 4 in for w.
[tex]3(4)^{2} -3(4)+8[/tex]
[tex]=3(16)-12+8[/tex]
[tex]=48-4\\=44[/tex]
Solve for d.
4.77 = -1.23 + -3d solve for d
Answer:
-2
Step-by-step explanation:
4.77
+1.23
=6
6/-3=-2, so d=-2
FInd the circomference of the circle
Answer:
Step-by-step explanation: 56.52 in.
Answer: 56.52 Inches
Step-by-step explanation:
Step 1. Write down the formula for finding the circumference of a circle.
C=2r
Step 2. Next, we substitute the values of pi and r.
C=2(3.14)9
Step 3 (Final step). Finally, we Multiply everything to get C
C=56.52 Inches.
Hope this helps!
Find the weighted average.
The coordinate 3 has a weight of 1, and the coordinate 6 has a weight of 2.
The weighted average is
Previous
Answer: The coordinate is with the weight of 2
The answer is 32
Step-by-step explanation:
you can figure it out
Pls solve 4m-6=24 pls and thank u
A sporting goods manufacturer produces skateboards and in-line skates. Its dealers demand at least 30 skateboards per day and 20 pairs of in-line skates per day. The factory can make at most 60 skateboards and 40 pairs of in-line skates per day. The total number of skateboards and pairs of in-line skates cannot exceed 90. The profit of each skateboard is $12 and the profit on each pair of in-line skates is $19. What is the maximum profit the company can make given these constraints?
$1100
$1100
$1200
$1200
$1360
$1360
$2200
$2200
The maximum profit the company can make given these constraints is; $1360
How to Solve Linear Programming Problems?
We are given that;
Its dealers demand at least 30 skateboards per day and 20 pairs of in-line skates per day. The factory can make at most 60 skateboards and 40 pairs of in-line skates per day. The total number of skateboards and pairs of in-line skates cannot exceed 90. The profit of each skateboard is $12 and the profit on each pair of in-line skates is $19
Thus, the inequalities are as follows;
Let x represent number of skateboards
Let y represent in-line skates
Thus;
x ≥ 30
y ≥ 20
x ≤ 60
y ≤ 40
x + y ≤ 90
y ≤ -x + 90
f(x, y) = 12x + 19y
At (30, 20), f(30, 20) = 12(30) + 19(20) = $740
At (30, 40), f(30, 40) = 12(30) + 19(40) = $1120
At (50, 40), f(50, 40) = 12(50) + 19(40) = $1360
At (60, 20), f(60, 20) = 12(60) + 19(20) = $1100
At (60, 30), f(60,30) = 12(60) + 19(30) = $1290
Thus, the maximum profit the company can make given these constraints is; $1360
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Question
[tex] \sqrt{2 + \sqrt{2 + \sqrt{2 + ....... \: \: \: \: } } } is \: \: equal \: \: \: to \: [/tex]
Options —:
[tex]1-: 1 \\ \ \ \ 2—: 2 \\ \ \ \ \ 3-: 2 + \sqrt{2} \\ 4 -:2 \sqrt{2} [/tex]
Hope attachment will be helpful .
17. Jane is building a model boat. Every inch on her model is equivalent to 3.5 feet on the real boat her model is based on. What would be the mathematical rule to express the relationship between the length of the model, m, and the length of the boat, b?
The mathematical rule to express the relationship between the length of the model, m, and the length of the boat, b is; m = b/3.5
How to solve algebra word problems?
We are told that Jane's model is a boat.
Now, we are told that very inch on her model is equivalent to 3.5 feet on the real boat her model is based on.
Now, what this means is that the scale factor is; 1 inch to represent 3.5 feet. Thus, if the length of the model, m, and the length of the boat, b, then the relationship between m and b is;
m = b/3.5
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The boiling point of jet fuel is 329°F. Rounded to the nearest degree, what is the temperature in degrees Celsius?
Answer: 165 Celcius
I used a Farheinit to Celcius calculator :)
Can someone help with this problem?
The earthquake was a devastating one as its range is very high for the logarithm function.
We are given that:
M = log (A) - log (A₀) + c log (Δ)
where,
M = local magnitude of the earthquake
A = maximum amplitude in micrometers
A₀ = reference amplitude
c = calibration constant
Δ = distance in km between the seismograph and the epicenter
Now, we are given that:
M = 114370.61 ц m
A = ?
A₀ = 302 ц m
c = 2.76
Δ = 60 km
We have to find the maximum amplitude.
Substituting the values in the logarithm function, we get that:
9102 ц m = log (A) - log (302 ц m) + 2.76 log (60 km)
114370.61 ц m = log (A) - 2.48 + 2.76 (1.78)
114370.61 ц m = log (A) - 2.48 + 4.91
114370.61 ц m = log (A) + 2.43
log (A) = 114370.61 ц m - 2.43
log (A) = 114368.18 ц m
A = e¹¹⁴³⁶⁸°¹⁸ ц m
A = will come in the range 9 and over.
Therefore, the earthquake was a devastating one as its range is very high for the logarithm function.
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Can you find the slope for me
Answer:
8/5
Step-by-step explanation:
If m26 = 13°, then m/9
The simplification of the given equation is m/9=1/18.
Given angle m26 = 13°
m= 13°/26
= 1/2
m/9=(1/2)/9
= 1/(2*9)
= 1/18
m/9=1/18
Expressions are mathematical statements with at least two words that comprise either numbers, variables, or both and are linked by an addition/subtraction operator. PEMDAS - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction - is the main rule for simplifying expressions.
Simplifying expressions entails rewriting the same algebraic statement in a compact fashion with no similar terms. To simplify expressions, we combine all similar words and solve all specified brackets, if any, leaving just unlike terms in the simplified expression that cannot be reduced further.
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HELP ME OUT PLEASE!!!
Simplify.
(29 × 35) x (24 x 3)²
A
B
C
D
620
624
213 × 37
2¹7 x 37
D
The final value is 6199.
Simplify:
(29 × 35) + (24 x 3)²
= 1015 +5184
=6199
In mathematics, simply or simplification is reducing the expression/fraction/problem during a simpler form. It makes the matter easy with calculations and solving.
Here are the essential steps to follow to simplify an algebraic expression:
Remove parentheses by multiplying factors.
Use exponent rules to get rid of parentheses in terms with exponents.
Combine like terms by adding coefficients.
Combine the constants.
Here's differently to explain it: The is used to refer to a specific or particular member of a group. for instance , "I just saw the foremost popular movie of the year." There are many movies, but just one particular movie is the most popular.
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what is one-fifth as a percentage?
Answer: 20%
Step-by-step explanation:
1=100%
1/5=
100%/5=20%
Answer: 20 percent
Step-by-step explanation: how you college level and not know this one
suppose that y varies directly with x and y = -9 when x = 3 write the direct variation that relates to X and Y. y= and find y when x=7
The direct variation is -27/7.
y=27/7 when x= 7
What is variation ?Y= -9 when x = 3 and y varies directly with x which can be written as y directly proportional to x.
[tex]x_{1} /x_{2}[/tex] = [tex]y_{1} /y_{2}[/tex]
3/7 = -9/y2
y2 = - 27/7
A variation is a connection between a set of values for one variable and a different set of values. If m is a nonzero constant and b = 0, the equation y = mx + b yields the function y = mx (often written y = kx), which is known as a direct variation.
The calculus of variations is a branch of mathematical analysis which finds maxima and minima of functionals: mappings from a set of functions to the real numbers. Variations are minor changes in functions and functionals.
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Choose all properties that were used to simplify the following problem:
(Possible answers)
1 associative property of addition
2 associative property of multiplication
3 multiplicative inverse
4 commutative property of multiplication
5 multiplicative identity
6 distributive property
7 commutative property of addition
Multiple choice!
Answer:
In order of operations
commutative property of multiplicationmultiplicative inversemultiplicative identityStep-by-step explanation:
==> [tex]\frac{2}{7} \cdot 53 \cdot {7}{2} \\53 \cdot \frac{2}{7} \cdot {7}{2} \\[/tex]
Commutative property of multiplication : With multiplication of numbers, you can change the order of the numbers in the problem and it will not affect the answer. [tex]a \cdot b \cdot c = b \cdot a\cdot c[/tex]
==> [tex]53 \cdot 1[/tex]
Multiplicative Inverse : A number multiplied by its reciprocal equals
1 : [tex]\frac{a}{b}\cdot\frac{b}{a} = 1[/tex]
==> 53
Multiplicative Identity: Multiplying a number by 1 leaves the number unchanged: [tex]a\cdot1 = a[/tex]
39/7/2022
3. 4(m²-2) when m = -513
perform first when simplifying
After performing the simplification process we get the answer as 1052668 or 1.025668 × 10⁶
Some "fixing" difficulties involve simplifying. Parentheses and even nested grouping symbols can be found in some equations, just like they can in some expressions. Whether we're working with equations (so we're also solving), or expressions (and only simplifying), the simplification procedure is the same in both cases.
Given the expression is m 4(m² ₋ 2) and
the value of m = ₋513
substitute the value of m in the expression.
4 ×((₋513)² ₋ 2)
Determine the sign for radical or exponential expressions
4×(513² ₋ 2)
calculate the power.
4 × (263169 ₋ 2)
calculate the sum or the difference.
4 × 263167
after multiplication we get the answer as:
1052668
can also be written as 1.052668 × 10⁶
Hence we gained the desired result.
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Which one of the following compound inequalities has no solution?
From the following compound inequalities, all the compound inequalities have a solution.
What is compound inequality?
A compound inequality is a type of inequality that comprises two basic inequalities.
From the given information, we have:
3x-7 ≤ 5x + 5 and -4x +8 < 5x - 1
-2x+9>4x+3 and-8x-9 < -7x-3
-2(x-9) < 3(x+4) and -4(x-1) > -5(x-2)
3x+1 < 5x+7 and -2x+5 ≤ -5x -10
To determine the compound inequality with no solution, we need to solve each of the inequalities.
1.
3x-7 ≤ 5x + 5 and -4x +8 < 5x - 1
Collect like terms
-7-5 ≤ 5x-3x and 8+1 < 5x+4x
-12 ≤ 2x and 9 <9x
x ≥ -6 and x > 1 (has a solution)
2. -2x+9>4x+3 and-8x-9 < -7x-3
Collect like terms
9-3 > 4x+2x and -9+3 < 8x-7x
6 > 6x and -6 < x
x< 1 and x < -6 (has a solution)
3.
-2(x-9) < 3(x+4) and -4(x-1) > -5(x-2)
Open brackets
= -2x +18 < 3x + 12 and -4x + 4 > -5x +10
Collect like terms
= 2x + 3x > 18 - 12 and 5x-4x > 10 -4
= 5x < 6 and x > 6
= x > 6/5 and x > 6 (has a solution)
4.
3x+1 < 5x+7 and -2x+5 ≤ -5x -10
1-7 < 5x-3x and 5x -2x ≤ -10 +2
-6 < 2x and 3x ≤ -8
x > -3 and x ≤ -8/3 ( has a solution)
Therefore, no compound inequalities has no solution.
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