Answers
Answer:
(x + 3)^2 + (y - 2)^2 = 25
Step-by-step explanation:
Looking at the circle we can see the origin and the radius from the origin to the edge of the circle.
radius = 5
Origin of the circle (h,k) = (-3,2)
Equation of a circle: (x - h)^2 + (y - k)^2 =r^2
Plug in our (h,k) and radius into the equation.
(x - (-3))^2 + (y - (2))^2 = 5^2
(x + 3)^2 + (y - 2)^2 = 25
Related Questions
Does anybody know this? I think know the second one but I'm not sure. ABCD is a square find the following.
Answers
Answer:
see explanation
Step-by-step explanation:
in a square
• all sides are congruent
• all angles are right
• diagonals bisect the angles
• diagonals are perpendicular bisectors of each other
Then
∠ BCA = [tex]\frac{1}{2}[/tex] × ∠ BCD = [tex]\frac{1}{2}[/tex] × 90° = 45°
∠ AWD = 90°
what is x in 2x − 3 + 4x = 21
Answers
Answer: x = 4
Step-by-step explanation:
2x - 3 + 4x = 21
6x - 3 = 21
6x - 3 (+3) = 21 (+3)
6x = 24
24/6
x = 4
2x + 4x = 21 - 3
Then simplify
6x = 18
Then divide 6 to both sides to find x
X=3
Hope this helps!
Solve the inequality 3(y-4)<6
Answers
The answer is y<6
Add 12 to both sides
Simplify
Divide both sides by the same factor
Simplify
Find the value of x that makes m ∥ n
Answers
Answer:
26
Step-by-step explanation:
When two lines are parallel, corresponding angles are equal.
Here,
m II n
5x + 13 and 143 are corresponding angles.
So,
5x + 13 = 143
Substract 13 on both sides,
5x = 143 - 13
5x = 130
Divide 5 on both sides,
x = 130 / 5
x = 26
Picasso's Phone Shop charges $65.54 for its activation fee plus $13.10 for every gigabyte, g, of data you use over your limit. The equation that
models the total cost (T) is T (g) = 13.10g +65.54 Which value in the equation represents the rate of change?
A
$65.54
B
$78.63
$13.10
the number of gigabytes used over
I don't know yet
4
04.02.05.1289
D
E
Com
5. SE
Answers
Answer:
$13.10 represents the rate of change
Step-by-step explanation:
13.1 is the only value in the equation with a variable (g). There is an additional $13.10 charge for every gigabyte used over the limit, and this is the rate of change.
For example, if 5 gigabytes were used over the limit, the charge would be 13.1(5) or $65.50
What is the quotient of startfraction 7 superscript negative 1 baseline over 7 superscript negative 2 baseline endfraction?
Answers
The expression 7⁻¹ ÷ 7⁻² is a quotient expression, and the value of the quotient 7⁻¹ ÷ 7⁻² is 7
How to evaluate the exponents?The expression is given as:
7⁻¹ ÷ 7⁻²
Rewrite the expression using the product sign
7⁻¹ ÷ 7⁻² = 7⁻¹ * 7²
Apply the product rule of indices
7⁻¹ ÷ 7⁻² = 7⁻¹⁺²
Evaluate the sum of the exponents
7⁻¹ ÷ 7⁻² = 7¹
Evaluate the exponent
7⁻¹ ÷ 7⁻² = 7
Hence, the value of the quotient 7⁻¹ ÷ 7⁻² is 7
Read more about quotient at:
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Answer:
7
Step-by-step explanation:
Edge
welp pls.i’m so confused
Answers
Let's see
Area=Length×Breadth(2x+1)(x-7)=172x(x-7)+1(x-7)=172x²-14x+x-7=172x²-13x-24=0On solving
x=8So
length
2(8)+1=17Width
8-7=1A rectangle has a length of (2x+1) units, a width of (x-7) units and an Area of 17 square units. Find the dimensions of the rectangle.
✭ Explanation -:In this question we are provided with the length of a rectangle (2x + 1) units and the width of the rectangle (x - 7). It is also given that the area is 17 units². We are asked to calculate the length and width of the rectangle.
First we will find the value of x
We know,
[tex] \bull \: \small\boxed{ \rm{ Area_{(rectangle)} = Length × Width}}[/tex]
Substituting the values we get
[tex] \small\sf{ (2x + 1 ) (x - 7) = 17}[/tex]
[tex] \small\rm{ 2x( x - 7) + 1(x - 7) = 17}[/tex]
[tex] \small\rm{ 2 {x}^{2} - 14x + 1(x - 7) = 17}[/tex]
[tex] \small\rm{ 2 {x}^{2} - 13x - 7 = 17}[/tex]
[tex] \small\rm{2 {x}^{2} - 13x - 7 - 17 = 0 } [/tex]
[tex] \small\rm{2 {x}^{2} - 13x - 24 = 0} [/tex]
[tex] \small\rm{x = \dfrac{13 + 19}{2 \times 2} } [/tex]
[tex] \small\rm{ x = \dfrac{32}{4} = 8}[/tex]
[tex] \small\sf{x = 8} [/tex]
Now we will substitute the value of x
Length = (2x + 1) = 2 × 8 + 1 = 16 + 1 = 17 units
Width = (x - 7) = 8 - 7 = 1 units
Hence, the length of the rectangle is 17 units and the width is 1 units.An elevator starts at floor 9. It goes up 10 floors twice, and then it goes down 18 floors. A second elevator
starts on floor 28. It goes down 5 floors 2 times, and then it goes up 11 floors. Which elevator ends on a
higher floor?
Answers
Answer:
Higher floor- Elevator 2 ends on a higher floor
Elevator 1- ends on floor 11
Elevator 2- ends on floor 29
Step-by-step explanation:
An item is regularly priced at $35. It is now priced at a discount of 40% off the regular price. What is the price now?
Answers
Answer:
15
Step-by-step explanation:
Gary and Jessica exercise for a total of 18 hours per week. Jessica exercises 2 less than 3 times the hours that Gary exercises. How many hours per week does Gary exercise?
Enter your answer in the box.
Answers
Work Shown:
g = number of hours that Gary exercises
3g-2 = number of hours that Jessica exercises
(g) + (3g-2) = 18
4g-2 = 18
4g = 18+2
4g = 20
g = 20/4
g = 5
Gary exercises 5 hours per week.
Historically, a given day at the beginning of March in upstate New York has a 18% chance of snow and a 12% chance of rain. If there is a 4% chance it will rain and snow on a day, then which of the following
represents the probability that a day in early March would have either rain or snow?
1.) .30
2.) .34
3.) .02
4.) .26
Answers
The Venn probability that a a day in early March would have either rain or snow is given by:
4.) .26
What is a Venn probability?In a Venn probability, two non-independent events are related with each other, as are their probabilities.
The "or probability" is given by:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
In this problem, we have that the probabilities are given as follows:
[tex]P(A) = 0.18, P(B) = 0.12, P(A \cap B) = 0.04[/tex]
Hence:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
[tex]P(A \cup B) = 0.18 + 0.12 - 0.04[/tex]
[tex]P(A \cup B) = 0.26[/tex]
Which means that option 4 is correct.
More can be learned about Venn probabilities at https://brainly.com/question/25698611
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someone pls help with this
Answers
Answer: B
Step-by-step explanation:
Substituting in the coordinates into the lines which they lie on,
[tex]r=p+b\\\\5r=4p+b[/tex]
Subtracting the equations,
[tex]-4r=-3p \implies \frac{r}{p}=\frac{3}{4}[/tex]
Given the two rectangles below. Find the area of the shaded region.
7
2
4
2
Answer:
\text{ units}^2 units
2
Answers
Answer:
52 units²
Step-by-step explanation:
A = L × W
Area = Length × Width
First find the total area: 44
Half that to find the total left side that is shaded: 22
Find the bottom right side, imagine it is a seperate shape. It would be 4 × 2 = 8. 44 + 8 = 52.
- Educator
which equation represents a linear function 2ry+y= 9 , y=12r-5 , 3y+r2+t=0, 4r+2(y-1)=0
Answers
The equation which represents a linear function for the variable y is y=12r-5. Option B is the correct option.
What is linear function?Linear function is the function in which the highest power of the unknown variable is one. Linear functions are used to model the real life problem in the mathematical expressions.
The linear function with dependent variable y and independent variable x can be written as,
y=mx+c
Here, m is the slope of the line represented by the function and c is the y intercept.
The equation given in the problem are,
2ry+y= 9
y=12r-5
3y+r2+t=0
4r+2(y-1)=0
The second option is similar to the standard linear function.
Hence, the equation which represents a linear function for the variable y is y=12r-5. Option B is the correct option.
Learn more about the linear function here;
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determine whether each pair of polygons is similar. Explain.
Answers
Answer:
they are similar because polygons have three or more sides
Find the distance between the two points on the graph
Answers
Answer: The side highlighted is 6.3 units long
Step-by-step explanation:
You can use Pythagorean therum to solve this problem
a² + b² = c²
We already know the length of two of the sides, a and b. So we will replace those variables with the given values
2² + 6² = c²
And now we solve
2² + 6² = c²
4 + 36 = c²
c² = 40
√40 = 6.3
Is the mean most useful when there is an outlier?
Answers
Answer:
The median is more useful because the mean, which his the average can be affected by a large or small outlier.
Step-by-step explanation:
2
3
4
5 5
6
7
8
9
10
TIME
A line passes through the point (-2, 7) and has a slope of -5.
What is the value of a if the point (a,2) is also on the line?
Answers
Answer:
a is equal to 3 ...................
3^5*2^-6 please answer fast
Answers
[tex]3^5 \cdot 2^{-6}=\dfrac{3^5}{2^6}=\dfrac{243}{64}[/tex]
Find the value of x in the figure.
Answers
Step-by-Step Explanation:
In the Figure, both the Angles form a Linear pair which means they sum up to 180 degrees.
Therefore,
57 + x + 23 = 180
57 + 23 + x = 180
80 + x = 180
x = 180 - 80
=> x = 100
Therefore, x = 100
Also finding the missing Angle :-
= x + 23
= 100 + 23
=> 123
The Angle is 123 degrees.
Lamar pays 15.60 for a pack of 6 towels. Find the unit price in dollars per towel. If necessary, round your answer to the nearest cent.
Answers
Divide total price by quantity:
15.60 / 6 = 2.60
Unit price = $2.60
Which polynomial lists the powers in descending order?
O A. 45+34-2-22+1
O
B. 3A-2+45-22+1
O C.1-22-2+45+34
© D. 4x5-22-2+3/+1
Answers
Answer:
D i believe
Step-by-step explanation: hoped this helps
8x-3y times 5x5y over 10x6y2
Answers
Answer:
8x-5/4
Step-by-step explanation:
Cancel 5y x 5y/10 x 6y²=5/12y
8x-3y 5/12y
apply fraction rule a× b/c = a×b
____
c
8x-3y⁵/12y
8x-3y×5/12y
8x-3×5/12y
8x-3×5/12
=8x-5/4
need help will give brainliest i am timed answer in 20 minutes
What is the y-value of the vertex of the function f(x)=−(x+8)(x−14)?
3
6
112
121
The function f(x) = –3x2 + 36x – 119 written in vertex form is f(x) = –3(x – 6)2 – 11. Which statements are true about the graph of f(x)? Select three options.
The axis of symmetry is the line x = 6.
The vertex of the graph is at (–6, –11).
The parabola has a minimum.
The parabola opens down.
The value of h, when the equation is written in vertex form, is positive.
Answers
Answer:
121
.
The axis of symmetry is the line x= 6
The parabola opens downwards.
The value of h when the equation is in vertex form is positive.
Step-by-step explanation:
In the pictures.
Hope it helps! :)
Ayúdenme en esto porfavor
Answers
Answer:
The distance from point A(x, 1) to point B(0, 7) is equal to 10. Calculate the value of the abscissa x.
Para resolver un problema como este lo primero que tenemos que hacer es sacar regla de tres:
----- 48
----- [tex]\bold{\cfrac{3}{4}}[/tex]
----- X
Una vez sacado la regla de tres debemos Saber los datos que son los siguientes
[tex] \underline{\bold{Ahora \: \: Planteamos \: \: la \: \: ecuacion \: : } }[/tex]
En este caso debemos hallar el 3/4% de 48.
Ahora Usamos la regla de tres simple.
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \Rightarrow\bold{\cfrac{3}{4} * 48 }[/tex]
Comenzamos a Resolver :[tex] \: \: \: \: \: \: \: \: \: \bold{\cfrac{3}{4} * 48 = \cfrac{ \cfrac{3}{4} }{100} * 48 }[/tex]
[tex] \bold{\cfrac{3}{400} \: * 48 = \cfrac{3}{25}* 3 = \cfrac{9}{25} }[/tex]
Ahora Hallamos el decimal de 9/25
[tex] \: \: \: \: \: \bold{\cfrac{9}{25} = 9 \div 25 = 0.36 }[/tex]
Entonces podemos decir que:
En total a Susana le faltan 0.36km para llegar a casa.
answer as soon as u can i need this
Answers
Answer:
25.12 cm.
Step-by-step explanation:
you take pie times the diameter (4)cm and times them together.
Answer:
4π cm
Step-by-step explanation:
Circumference of circled = 4 cm
Circumference = πd
= π*4
= 4π cm
A perfect triangle is a triangle with two key characteristics: 1) all three side lengths are positive integers, and 2) the area of the triangle area is equal to its perimeter. is a triangle with sides of length 8, 9, and 16 a perfect triangle? set up expressions and show the work needed to solve in order to answer the question.
Answers
Answer: It is not a perfect triangle.
Step-by-step explanation:
Find the equation of the straight line with the gradient -2/3 and passing through the point(1,1)
Answers
Answer:
y = -2/3 x + 5/3
Step-by-step explanation:
y = mx + b
y = -2/3 x + b
1 = -2/3 × 1 + b
3/3 + 2/3 = b
b = 5/3
y = -2/3 x + 5/3
What is the value of x
A)8
B)6
C)1
D)7
Answers
Answer:
D) 7
Step-by-step explanation:
Tangents from the same external point are equal in length.
8x - 7 = 6x + 7Add 7 on both sides.
8x - 7 + 7 = 6x + 7 + 78x = 6x + 14Subtract 6x from both sides.
8x - 6x = 6x + 14 - 6x2x = 14x = 7The correct option is D.
help me with this math problem, please
Answers
Answer:
Refer the attachment
SO, OPTION (D) IS CORRECT
Answer:
Option (D) is the correct answer
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