Answers
Given:
[tex]y=7.3x+0[/tex]Compare with the equation
[tex]y=mx+c[/tex][tex]\text{Slope(m)}=7.3[/tex]Answer:
The slope is 7.3
Step-by-step explanation:
The equation is written in slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = 7.3x +0
The slope is 7.3 and the y intercept is 0
Related Questions
If you move a power from the numerator to the denominator OR from the denominator to the numerator you must also change?
Answers
Solution.
Recall in laws of indices,
[tex]\begin{gathered} \frac{1}{x^2}=x^{-2} \\ y^2=\frac{1}{y^{-2}} \end{gathered}[/tex]Thus, If you move a power from the numerator to the denominator OR from the denominator to the numerator you must also change the sign attached to the power to its opposite (that is from + to - or from - to + as the case may be)
Which facts are true for the graph of the function below? Check all that apply. f(x)= 3•4^x
Answers
Let us see the graph of the given function.
Now, let us see the different answer choices.
Option A. The range of F(x) is y > 4.The range of a function is the set of its possible output values. In other words, it is the resulting y-values we get after substituting all the possible x-values.
As we can see in the graph, the range of the function is all real numbers greater than zero. Thus, the range of F(x) is y > 0. Therefore, the statement is false.
Option B. The y-intercept is (0,3) and option F. The y-intercept is (0,4).The y-intercept is the point where the graph crosses the y-axis. In this case, we have:
Therefore, statement B is true, and statement F is false.
Option C. It is decreasing, and option E. It is increasing.• A function decreases when the y-value decreases as the x-value increases.
,• A function increases when the y-value increases as the x-value increases.
In this case, we have:
As we can see, the F(x) graph is increasing, not decreasing.
D. The domain of F(x) is all real numbers.The domain of a function is the set of all values for which the function is defined. In the case of exponential functions, the domain is all real numbers, as we see in the F(x) graph. Therefore, the statement is true.
AnswerThe facts that are true for the graph of F(x) are:
B. The y-intercept is (0,3)
D. The domain of F(x) is all real numbers.
E. It is increasing.
Express y in terms of x. Then find the value of y when x= -16 (x - y) =19Y in terms of x:Y=
Answers
let's find y in terms of x:
[tex]\begin{gathered} 6(x-y)=19 \\ x-y=\frac{19}{6} \\ y=x-\frac{19}{6} \end{gathered}[/tex]Therefore:
[tex]y=x-\frac{19}{6}[/tex]If x=-1, then:
[tex]\begin{gathered} y=-1-\frac{19}{6} \\ =-\frac{25}{6} \end{gathered}[/tex]Then, y=-25/6
Rectangel ABCD has the coordinates shown:A(1,1), B(1,3), C(4,3). Find the coordinates of D
Answers
We can start by drawing the rectangle:
As we can see from the drawing, the coordinates of D are (4, 1).
Since the sides BC = AD, and B (1, 3) and C(4, 3).
D must have the same x coordinate as C, that is, x = 4.
Also, since AB = DC, the y coordinate for D must have the same y coordinate as A, that is, y = 1.
Therefore, the coordinates for D are (4, 1).
an auditorium has 288 seats distributed evenly and 9 rolls finding unit rate of seats per row
Answers
Solution
For this case we have the total of seats 288 , and the number of rolls is 9
Then we can find the unit rate like this:
288/9 = 32
Then the final answer is:
32 seats/row
I already did the graphing I just need to know the answer type, two numbers, one point or one equation. Find the roots in the graph.
Answers
The roots of the equation are the values of a variable for which a given polynomial is equal to zero.
Then, in our case, we can get them with the graph:
where x = 3 and x = 7.
If we evaluate these values in the function:
[tex]f(3)=3^2-10\cdot3+21=9-30+21=0[/tex][tex]f(7)=7^2-10\cdot7+21=49-70+21=0[/tex]Then, these are our roots.
Answer: x = 3 and x = 7
Hello! I need some assistance with this homework question for precalculus, please?HW Q9
Answers
Answer: 0
Explanation:
Recall, the inverse of an exponential function is a logarithmic function. Thus, if
y = = logb x, then
where b is the base of the logarithm
x = b^y
The given expression is
loga 1 = ?
Let loga 1 = t
by applying the rule above,
1 = a^t
Recall, if we raise any variable to the power of zero, the value is 1. Thus,
1 = a^0
1 = 1
Thus, t = 0
loga 1 = 0
Thus, the correct option is 0
The population of Suka is currently 34.88 million people. Suka's current growth rate is 1.1% per year. What will Suka's population be in 5 years?
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Let's use the compound interest formula:
[tex]A=P(1+\frac{r}{100})^t[/tex]Being P the initial amount, r the rate, and t the time
Replacing
[tex]\begin{gathered} A=34.88(1+\frac{1.1}{100})^5 \\ \\ A=36841072 \end{gathered}[/tex]Answer: The population will be 36841072
which number has the same absoulute value as -2? -1/2 , 1/2. 0. or 2
Answers
which number has the same absoulute value as -2? -1/2 , 1/2. 0. or 2
we know that
The absolute value as -2 is
[tex]\mleft|-2\mright|=2[/tex]so
verify each number
1) -1/2
[tex]|-\frac{1}{2}|=\frac{1}{2}[/tex]2) 1/2
[tex]|\frac{1}{2}|=\frac{1}{2}[/tex]3) 0
[tex]|0|=0[/tex]4) 2
[tex]|2|=2[/tex]therefore
the answer is 2
Graph the quadratic function f(x)=(x-2)^2
Answers
Answer
The graph of the function f(x) = (x - 2)² is presented below
Explanation
To graph a function, it is usually better to expand it.
f(x) = (x - 2)²
= (x - 2) (x - 2)
= x (x - 2) - 2 (x - 2)
= x² - 2x - 2x + 4
= x² - 4x + 4
So, logically, we then insert different values of x into this function and obtain corresponding values of y. This set of ordered pairs are now plotted and joined together for the graph.
The graph of this function is then plotted and presented under 'Answer' above.
Hope this Helps!!!
If quadrilateral below is a kite, find the missing measures
Answers
A quadrilateral is a polygon having four sides, four angles, and four vertices. ∠1=72, ∠2=43, ∠3=43,∠4=360,∠5=18,∠6=47,∠7=72 are the missing angles.
What is Quadrilateral?A quadrilateral is a polygon having four sides, four angles, and four vertices
The given quadrilateral is a Kite.
We need to find the missing angles.
The total angle of kite is 360 degrees.
Please find the attached Diagram,
In triangle ABE, 90+18+∠1=180
∠1=72
In triangle CDE, 90+43+∠6=180
∠6=47
In triangle BCE, 90+47+∠3=180
∠3=43
∠5=18
∠7=72
∠2=43
∠4=360
Hence ∠1=72, ∠2=43, ∠3=43,∠4=360,∠5=18,∠6=47,∠7=72 are the angles.
To learn more on Quadrilateral click:
https://brainly.com/question/13805601
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Can you please help me with my questions 6 on my home work
Answers
SOLUTION
Identify the coordinate of each point
[tex]\begin{gathered} x=(-1,2) \\ y=(2,6) \\ \text{and } \\ z=(9,2) \end{gathered}[/tex]
Find the distance each point which represent the length of the sides
Using the formula for distance between two point
[tex]\begin{gathered} |xy|=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ \text{where } \\ x_2=2,x_1=-1,y_2=6,y_1=2 \\ \text{Hence} \\ |xy|=\sqrt[]{(2-(-1)^2+(6-2)^2} \\ |xy|=\sqrt[]{3^2+4^2} \\ |xy|=\sqrt[]{9+16}=\sqrt[]{25} \\ |xy|=5\text{ unit} \end{gathered}[/tex]The lenght of |XY|= 5 unit
Similarly, we find the side length of |YZ|, using the same approach
[tex]\begin{gathered} |YZ|=\sqrt[]{(9-2)^2+(2-6)^2} \\ |YZ|=\sqrt[]{7^2+(-4)^2} \\ |YZ|=\sqrt[]{49+16} \\ |YZ|=\sqrt[]{65}\text{ unit} \end{gathered}[/tex]The lenght of |YZ| is 8.06 unit
We now obtain the length of the side |XZ|
[tex]\begin{gathered} |XZ|=\sqrt[]{(9-(-1)^2+(2-2)^2} \\ |XZ|=\sqrt[]{10^2^{}+0^2} \\ |XZ|=\sqrt[]{100}=10\text{ unit } \end{gathered}[/tex]The lenth of |XZ| is 10 unit
The Area of of triangle with three sides is given by
Applying the formula above, we have
[tex]\begin{gathered} \text{Area of triangle }\Delta XYZ\text{ is } \\ s=\frac{5+10+8.06}{2}=23.06\text{ square unit } \\ Then \\ \text{Area}=\sqrt[]{23.06(23.06-5)(23.06-10)(23.06-8.06)} \\ \text{Area}=285.63\text{ square unit } \end{gathered}[/tex]Since the sides are not equal, XYZ is a scalence Triangle , |XY| is 5 unit, are the right options
See the image below
Find the area of the shaded region. All angles are right angles. The area of the shaded region is _____m^2 (Simplify your answer.)
Answers
One way we can look at the figure is that, we can take the area of the whole thing (if it were).
Then, we can subtract the middle rectangle that is taken out.
This way, we can get area of the green region.
So, let's call the whole (if it were) area A and the taken out area (from the middle) B. Hence, the green region would be:
Green Region Area = A - B
Both are rectangles and area of rectangle is length x width.
Area of A:
length 27
width 12
Area = 27 * 12 = 324
Area of B:
length 17
width 5
Area = 17 * 5 = 85
Thus,
Green Region area = 324 - 85 = 239 sq/
In the triangle below , RT=ST, find the measure of
Answers
Given the triangle RST
As shown:
m∠T = 110
And RT = ST
So, it is an isosceles triangle
so, m∠R = m∠S = x
The sum of the angles of the triangle = 180
So,
[tex]\begin{gathered} m\angle R+m\angle S+m\angle T=180 \\ x+x+110=180 \\ 2x=180-110 \\ 2x=70 \\ x=35 \end{gathered}[/tex]So, the answer will be:
m∠TRS = 35°
As both the sides of the traingle are equal to each other we can safely conclude that the above triangle is an isosceles triangle.
Isosceles triangle is a traingle with two equal sides and the opposite side angle are equal to each other.
Therefore angle R = angle S
Now, let us take angle TRS and angle TSR as 'x'
According to the question, angle RTS = 110°
Thus,
Angle RTS + angle TRS + angle TSR = 180° (all sides of the traingle are equal to 180°)
110° + x + x = 180°
2x = 180° - 110°
x = 70°/ 2
x = 35°
Therefore, angle TRS = 35°
Hello, can you please help me solve question number 8 !
Answers
1
Explanation:[tex]8)\text{ }\sin A\text{ cosA tanA + }\frac{2\sin Acos^3A}{\sin\text{ 2A}}[/tex][tex]\begin{gathered} \sin A\text{ cosA tanA + }\frac{2\sin Acos^3A}{\sin\text{ 2A}} \\ \tan \text{ A = }\frac{\sin A}{\cos A} \\ \sin A\text{ cosA }\times\frac{\sin A}{\cos A}\text{ + }\frac{2\sin Acos^3A}{\sin\text{ 2A}} \\ =\text{ sinA(sinA) + }\frac{2\sin Acos^3A}{\sin\text{ 2A}} \end{gathered}[/tex][tex]\begin{gathered} =sin^2A\text{ + }\frac{2\sin Acos^3A}{\sin\text{ 2A}} \\ =\text{ }\frac{\sin ^2A(sin2A)+2sinAcos^3A}{\sin \text{ 2A}} \\ \sin 2A\text{ = 2sinAcosA} \\ =\text{ }\frac{\sin ^2A(sin2A)+2sinAcos^3A}{2\sin \text{ AcosA}} \\ =\text{ }\frac{\sin ^2A(2sinA\cos A)+2sinAcos^3A}{2\sin \text{ AcosA}} \end{gathered}[/tex][tex]\begin{gathered} =\text{ }\frac{\sin^2A(2sinA\cos A)+2sinAcos^3A}{2\sin\text{ AcosA}} \\ =\frac{2\sin ^3A(\cos A)+2sinAcos^3A}{2\sin \text{ AcosA}} \\ =\frac{2\sin ^3A\cos A+2sinAcos^3A}{2\sin \text{ AcosA}} \\ =\text{ }\frac{\cos A(2\sin ^3A)+\cos A(2sinAcos^2A)}{2\sin \text{ AcosA}} \end{gathered}[/tex][tex]\begin{gathered} =\text{ }\frac{\cos A(2\sin^3A)+\cos A(2sinAcos^2A)}{2\sin\text{ AcosA}} \\ =\frac{\cos A\lbrack(2\sin^3A)+(2sinAcos^2A)\rbrack}{\text{cosA(}2\sin A)} \\ =\frac{(2\sin^3A)+(2sinAcos^2A)}{2\sin A} \\ =\frac{2\sin A(\sin ^2A+cos^2A)}{2\sin A} \end{gathered}[/tex][tex]\begin{gathered} =sin^2A+cos^2A \\ \text{reca ll:} \\ \text{ sin}^2x+cos^2x\text{ = 1} \\ \\ \text{Hence, }sin^2A+cos^2A\text{ = 1} \end{gathered}[/tex]If y is directly proportional to x and y = 48 when x = 35, find y if x = 18. (Round off your answer to the nearest hundredth.)Answer
Answers
y=24.69
Explanation
Direct proportion is the relation between two quantities where the ratio of the two is equal to a constant value
[tex]\begin{gathered} y=kx \\ wher\text{e k is the constant} \end{gathered}[/tex]so
Step 1
find the constant
a)let
[tex]\begin{gathered} y=48 \\ x=35 \end{gathered}[/tex]b) now, replace and solve for k
[tex]\begin{gathered} y=kx \\ 48=k*35 \\ divide\text{ both sides by 35} \\ \frac{48}{35}=\frac{k\times35}{35} \\ \frac{48}{35}=k \end{gathered}[/tex]so, the relation is
[tex]y=\frac{48}{35}x[/tex]Step 2
now, find y if x= 18
so
a) let
[tex]x=18[/tex]b) now, replace in the relation
[tex]\begin{gathered} y=\frac{48}{35}x \\ y=\frac{48}{35}*18 \\ y=24.6857 \\ rounded \\ y=24.69 \\ \end{gathered}[/tex]so, the answer is
y=24.69
I hope this helps you
What is the output value for the following function if the input value is 4?y = (6.5)x - 9.52016.535.50.5
Answers
We are given the following function:
[tex]y=(6.5)x-9.5[/tex]We are asked to determine the value of the function when "x = 4". To do that, we will substitute the value of "x" in the function:
[tex]y=(6.5)(4)-9.5[/tex]Solving the operations:
[tex]y=16.5[/tex]Therefore, the value of the output is 16.5
how do we find the values of x and y.
Answers
Given:
A matrix
[tex]\begin{bmatrix}{10x} & {} \\ {18} & {}\end{bmatrix}=\begin{bmatrix}{4} & {} \\ {6y} & {}\end{bmatrix}[/tex]Required:
To find the values of x and y.
Explanation:
Two matrices are said to be equivalent matrices if they have the same rank.
The given matrices are equivalent, so their corresponding element will be equal.
[tex]\begin{gathered} 10x=4 \\ x=\frac{4}{10} \\ x=\frac{2}{5} \end{gathered}[/tex][tex]\begin{gathered} 18=6y \\ y=\frac{18}{6} \\ y=3 \end{gathered}[/tex]Final Answer:
The values of x and y are as:
[tex]\begin{gathered} x=\frac{2}{5} \\ y=3 \end{gathered}[/tex]The answer to part A is 7 and the answer to part B is 51. Solve part C.
Answers
The ways a waiter and a dishwasher are paid are different. A waiter has a flat $25 dollars daily wage so despite having a lower payment per hour than a dishwasher is logical and expected that a waiter earns more money in the short run. However, as working hours increase the inportance of that fixed daily payment decreases and the contribution to the total payment given by the payment per hour begins to dominate.
It's easy to see this in the graph of both wages. Both are straight lines but the one representing a waiter's wage starts with an offset whereas that of a dishwasher starts at 0. However, since the later receives a better hourly payment the slope of its graph is higher and at some point it surpasses the wage of the waiter. This also happens at a reasonable number of hours (7 hours) because the difference between payments per hour (which define the slopes of the lines) is not minimal.
Square the binomial.(3x – 7)^2simplify your answer
Answers
Answer:
[tex]9x^2-42x+49[/tex]Explanation:
Here, we want to square the binomial
We proceed as follows:
[tex]\begin{gathered} (3x-7)^2\text{ = (3x-7)(3x-7)} \\ \end{gathered}[/tex]We can further breakdown this as follows:
[tex]\begin{gathered} 3x(3x-7)-7(3x-7) \\ =9x^2-21x-21x+49 \\ =9x^2-42x+49 \end{gathered}[/tex]Abby already owns 18 necklaces, and additional necklaces are priced at 2 for a dollar. Howmuch money does Abby need to spend on new necklaces in order to own a total of 36necklaces?
Answers
Let be "x" the amount of money (in dollars) Abby needs to spend on new necklaces, in order to own a total of 36 necklaces.
According to the information given in the exercise, the cost of 2 additional necklaces is $1.
Since she already has 18 necklaces, you can identify that she needs 18 new necklaces in order to own 36 necklaces.
Knowing the above, you can set up te following proportion:
[tex]\frac{1}{2}=\frac{x}{18}[/tex]Now you must solve for "x" in order to find its value. You can do it by multiplying both sides of the equation by 18. Then, you get:
[tex]\begin{gathered} (18)(\frac{1}{2})=(\frac{x}{18})(18) \\ \\ x=9 \end{gathered}[/tex]Therefore, the answer is: She needs to spend $9.0 in order to own a total of 36 necklaces.
Which steps should be used to graph the equation y-4=(x+2)/3?
Answers
Given equation:
[tex]y-\text{ 4 = }\frac{1}{3}(x\text{ + 2)}[/tex]To plot the graph of the equation, we need to obtain at least two points.
Step 1: Plug x = 0 into the equation and solve for y
[tex]\begin{gathered} y\text{ - 4 = }\frac{1}{3}(0\text{ + 2)} \\ y\text{ - 4 = }\frac{1}{3}\times\text{ 2} \\ y\text{ -4 = }\frac{2}{3} \\ y\text{ = }\frac{2}{3}\text{ + 4} \\ y\text{ = }\frac{2+12}{3} \\ \text{ y= }\frac{14}{3} \end{gathered}[/tex]One of the points is (0, 14/3)
Step 2: Plug y = 0 into the equation and solve for x.
[tex]\begin{gathered} 0\text{ - 4 = }\frac{1}{3}(x\text{ + 2)} \\ -4\text{ = }\frac{1}{3}(x\text{ + 2)} \\ \text{Multiply both sides by 3} \\ -12\text{ = x + 2} \\ x\text{ = -14} \end{gathered}[/tex]Another point is (-14, 0)
Step 3: Draw a straight line between the two points.
A manufacturer inspects 400 personal video players and finds that 398 of them have no defects. Themanufacturer sent a shipment of 2000 video players to a distributor. Predict the number of players in theshipment that are likely to have no defects.O 398O 1900O 10O 1990
Answers
Given:
Number of video players without defects out of 400 = 398
Let's predict the number of video players that will have defects out of 2000 video players.
To predict the number of video players that are likely to have no defects out of 2000 video players, we have:
[tex]\frac{398}{400}\ast2000[/tex]Let's evaluate the expression:
[tex]\begin{gathered} \frac{398}{400}\ast2000 \\ \\ =0.995\ast2000 \\ \\ =1990 \end{gathered}[/tex]Therefore, 1990 video players in the shipment are likely to have no defects.
ANSWER:
1990
whatd 48 1/4 radical for
Answers
Provide the missing statement and reasons for the following proof:Given: 9(2 – 6) +41 = 75Prove: I=889ReasonStatement$1 9(x-6) + 41 - 75R1S2. 9(x - 6) - 34R2.S3| |R3 Distributive PropertyS4 9x = 88R488S5 * -R5
Answers
Given:
[tex]9(x-6)+41=75[/tex]Explanation:
Solve the equation to obtain the value of x.
[tex]9(x-6)+41=75\text{ (Given)}[/tex]Substract 41 from both sides of equation.
[tex]9(x-6)+41-41=75-41\text{ (Substract 41 from both sides)}[/tex]Apply distributive property .
[tex]9\cdot x-9\cdot6=34\text{ (Distributive property)}[/tex]Add 54 to both sides of equation.
[tex]9x-54+54=34+54\text{ (Add 54 to both sides of equation)}[/tex]Divide both sides of equation by 9.
[tex]\begin{gathered} \frac{9x}{9}=\frac{88}{9} \\ x=\frac{88}{9}\text{ (Divide both sides by 9)} \end{gathered}[/tex]Answers:
R1: Given
R2: Subtract 41 from both sides of equation (Subtractiove property of equality)
S3: 9*x -9*6 = 34
R4: Add 54 to both sides of equation (Additive property of equality)
R5: Divide both sides of equation by 9 (Division property of equality)
The function f is defined as follows.f(x) = -2x2-5If the graph of fis translated vertically upward by 3 units, it becomes the graph of a function h.Find the expression for h(x)
Answers
Given:
f(x) = -2x² - 5
To find:
The function for h(x) after a vertical translation of 3 units upwards
Translation rules:
[tex]\begin{gathered} f(x\text{ + a\rparen = translation to the left} \\ f(x\text{ - a\rparen: translation to the right} \\ f(x)\text{ + b: translation upward} \\ f(x)\text{ - b: translation downward} \end{gathered}[/tex]From the above, a translation of 3 units upward will involve adding 3 units to the function of f(x)
[tex]\begin{gathered} h(x)\text{ = f\lparen x\rparen + 3} \\ h(x)\text{ = -2x}^2\text{ - 5 + 3} \\ \\ h(x)\text{ = -2x}^2\text{ - 2} \end{gathered}[/tex]Use pounds or tons. . The weight of a truck is about 3_tons 10. Shane drinks 3 pints of milk in a week. How many cups of milk does Shane drink in a week? Extended Response (Question 11: 2 points, Question 12:3 Solve. Show your work.
Answers
The standard rate of conversion is
[tex]1\text{ Liquid pint=}2\text{ cups}[/tex]Therefore if Shane drinks 3 pints of milk in a week, then;
[tex]\begin{gathered} 1\text{ Pint=2 cups} \\ 3\text{ pints=2x(3) cups } \\ 3\text{ pints=6 cups} \end{gathered}[/tex]If the function y=-f(x-4)+3 were graphed, write the transformations to the graph of y = f(x) in theorder that they occur.
Answers
The parent function is y = f(x)
The derived function is y = -f(x - 4) + 3
The sequence of transformations that was done to the graph of y = f(x) is:
• The function y = f(x) is shifted to the right by 4 units to become y = f(x - 4)
,• The function y = f(x-4) is dilated by a factor of -1 to become y = -f(x - 4). This also means a 180 degrees rotation
,• The function y = -f(x - 4) is shifted up by 3 units to become y = -f(x - 4) + 3
In summary, the transformations done to graph of y = f(x) in the order that they occur are:
0. Translation to the right by 4 units
,1. Dilation by a factor of -1
,2. Translation upwards by 3 units
I need help with my math
Answers
To solve the system of equations graphically, you must draw a line that represents each equation, then find the point of intersection between the 2 lines, this point is the solution of the system
Let us do that
[tex]y=-\frac{1}{2}x-6[/tex]Let us choose a value of x to find y
Let x = 0
[tex]\begin{gathered} y=-\frac{1}{2}(0)-6 \\ y=0-6 \\ y=-6 \end{gathered}[/tex]The first point on the line is (0, -6)
Let x = 2
[tex]\begin{gathered} y=-\frac{1}{2}(2)-6 \\ y=-1-6 \\ y=-7 \end{gathered}[/tex]The second point on the line is (2, -7)
We will do the same for the 2nd equation
[tex]y=-3x+4[/tex]At x = 0
[tex]\begin{gathered} y=-3(0)+4 \\ y=0+4 \\ y=4 \end{gathered}[/tex]The first point is (0, 4)
Let x = 2
[tex]\begin{gathered} y=-3(2)+4 \\ y=-6+4 \\ y=-2 \end{gathered}[/tex]The second point on the line is (2, -2)
Now we will draw each line using the points above
The red line represents the first equation
The blue line represents the second equation
The two lines intersected at the point (4, -8)
Then the solution of the system is (4, -8)
Q3 Which graph represents the circle (x + 2)2 + (y - 3)2 = 25 5
Answers
General equation of a circle:
[tex](x-h)^2+(y-k)^2=r^2[/tex](h,k) are the coordinates of the center and r is th radius
For the given equation:
[tex]\begin{gathered} (x+2)^2+(y-3)^2=25 \\ \\ h=-2 \\ k=3 \\ r=5 \end{gathered}[/tex]Then, the center of the given circle is in coordinates (-2,3) and the radius is 5 units
The graph is: