Answer:
The center is located at (-1, -2), and the radius is 5.
Step-by-step explanation:
The general equation of a circle is given as
(x - a)^2 + (y - b)^2 = r^2
where
a and b are the centre of the circle and r is the radius
Given the equation
x2 + 2x + y2 + 4y = 20
add 1 ad 4 to both sides
x2 + 2x + 1 + y2 + 4y + 4 = 20 + 4 + 1
factorise
(x +1)^2 + (y+2)^2 = 5^2
comparing with the general equation
a = -1, b = -2, r = 5 (all measured in units)
Answer: The center is located at (-1, -2), and the radius is 5.
Step-by-step explanation:
I just need like a step by step I haven't understood what my teacher has taught me here
hour how much does davon charge per hour for a skateboard rental HELPP I BEG
Answer:
$7
Davon charges $7 per hour of rental
Translate this phrase into an algebraic expression.
63 less than twice Julie's height
Use the variable j to represent Julie's height.
The mathematical expression for "63 less than twice Julie's height"
is 2j - 63
What is Expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:
Expression: (Math Operator, Number/Variable, Math Operator)
We have,
63 less than twice Julie's height.
let the height of Julie be j.
Then, the mathematical expression for
"63 less than twice Julie's height"
= 2j - 63
Learn more about expression here:
https://brainly.com/question/14083225
#SPJ2
There are eight boys and five girls in Chandler's group. Which fraction represents the part that is boys? A:5/8 B:8/13 C:5/13 D:8/5
Answer:
I think A is the right answer
Answer its c hope this helps
If x = 11, what is the value of 5(x - 2)?
A.
9
B.
45
C.
53
D.
65
Answer:
B
Step-by-step explanation:
Substitute x = 11 into the expression
5(11 - 2)
= 5 × 9
= 45 → B
Answer:
45
Step-by-step explanation:
A function is given to us .And we need to find its value at x = 11. So on substituting x = 11 , we have ,
The given function :-
[tex]:\implies[/tex] f(x) = 5(x-2)
On putting x = 11 :-
[tex]:\implies[/tex] f(11) = 5 ( 11 - 2)
[tex]:\implies[/tex] f(11) = 5 × 9
[tex]:\implies[/tex] f(11) = 45
Hence the value at x = 11 is 45 .Please helppppppppppppppppppppppppppo
Answer:
The correct answer is choice D.
Step-by-step explanation:
Since the parabola opens sideways, that means the function will feature [tex]y^2[/tex] and not [tex]x^2[/tex], so you can immediately rule out options B and C. Because the graph also opens right, that means the coefficient of [tex]y^2[/tex] is positive. Using all of this information, you'll find that the correct answer is D: [tex]x = \frac{1}{12} y^2[/tex].
Write the equation of the line in fully simplified slope-intercept form
Answer:
Take 2 points through which the line is passing.
Let it be (0, -3) and (1, 2)
[tex]slope ,m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} } = \frac{2--3}{1-0} = 2+3 = 5[/tex]
[tex]equation \ of \ the \ line = (y - y_2) = m(x - x_2)\\[/tex]
[tex](y - 2) = 5( x - 1)\\y - 2 = 5x - 5 \\y = 5x - 5 + 2\\y = 5x -3[/tex]
Which of the following are solutions to the equation below?
Check all that apply
4x²+ 12x+ 9 =25
Answer:
B and C
Step-by-step explanation:
First, we need to get the left side equal to zero. Take away 25 from each side to get [tex]4x^2+12x-16 = 0[/tex].
We can use the quadratic equation of [tex]\frac{-b+ -\sqrt{b^2-4ac} }{2a}[/tex] to find the solutions.
Plug them in to get [tex]\frac{-12+-\sqrt{144 -(-256)} }{8}[/tex].
Simplify.
[tex]\frac{-12+-\sqrt{400} }{8}[/tex]
[tex]\frac{-12+-20}{8}[/tex]
[tex]\frac{8}{8}[/tex] or [tex]\frac{-32}{8}[/tex]
1 and -4
x = 1 and -4
The basketball player Gong Luming attempted 40 shots in his last three games. He made 12
shots in the first game and 6 shots in the second game. If he made an average of 65% of his
shots out of the 40 attempted shots, how many shots did he make in the third game?
Answer:
25? somewhere around that
Step-by-step explanation:
In a class full of men and women,
2
5
of the class are women. What is the ratio of men to women in its simplest form?
Suppose a charity received a donation of 15.2 million. If this represents 34% of the charity's donated funds, what is the total amount of its donated funds?
Round your answer to the nearest million dollars.
Answer:
45 million
Step-by-step explanation:
Let [tex]x[/tex] be the total amount of its donated funds. We can set up the following equation:
[tex]0.34x=15.2\:[\text{million}][/tex]
Solving for [tex]x[/tex], we get:
[tex]x=\frac{15.2\:[\text{million}]}{0.34},\\x=44.7\:\text{million}\approx \boxed{45\:\text{million}}[/tex]
Answer:
45 million dollars (44.706...)
Step-by-step explanation:
15.2 ÷ 0.34 = 44.706
To check our answer:
44.706 × 0.34 = 15.2
(-3-5i)(-3+5i)
A.34
B.34-30i
C.-16
Answer:
34
Step-by-step explanation:
See Image Below:)
What is the slope of the line?
Answer:
The slope is 1
Step-by-step explanation:
First we pick any two points from the line.
I notice it's the same pattern every time you pick two points.
2/2=1
3/3=1
4/4=1
The slope is 1
Hope this helps!! :)
help
.........................
Answer:
78.463° = 78°27'47" = 1.36944 rad
44.415° = 44°24'55" = 0.77519 rad
57.122° = 57°7'18" = 0.99696 rad
(degrees = grades = radian)
Use SOH-CAH-TOA to find the missing side. Step by step.
Answer:
[tex]180.49[/tex]
Step-by-step explanation:
SOH-CAH-TOA:
In right triangles only:
The sine of an angle is equal to its opposite side divided by the hypotenuse. (o/h)
The cosine of an angle is equal to its adjacent side divided by the hypotenuse. (a/h)
The tangent of an angle is equal to its opposite side divided by its adjacent side. (o/a)
Since we're given an angle, its opposite side, and its adjacent side, we'll use tangent to solve for [tex]x[/tex]:
[tex]\tan 14^{\circ}=\frac{45}{x},\\x=\frac{45}{\tan 14^{\circ}},\\x\approx \boxed{180.49}[/tex].
F(x)= -3x2^-3x, f(-2)
Answer:
-6
Step-by-step explanation:
We know that the equation is f(x)=-3x^2-3x.
This means when we plug -2 in, the equation will be f(-2)=-3(-2)^2-3(-2). Simplify this to get -3(4)+6. Simplify this to get -12+6 which is equal to -6. Therefore, f(-2)=-6
If this helps please mark as brainliest
plzzzzz help!!!!!! hurry!!
Answer:
1. 96 [tex]ft^3[/tex]
2. 47.5 [tex]m^2[/tex]
3. 665 [tex]m^2[/tex]
4. 174 [tex]cm^2[/tex]
5. 86 [tex]cm^2[/tex]
Answer:
Step-by-step explanation:
Write an expression to represent the following:
9u+5
9u represents 9 multiplied by a number.
+5 means 5 more than this product.
Hope this helps.
please help me neddddd itttt
Answer:
Below.
Step-by-step explanation:
h = 112 degrees (opposite angles are equal).
t = h = 112 degrees (corresponding angles are equal).
ifa = 2 and b = 3, which is the value of 4a3b2, O A. 100 OB. 144 OC. 288 D. 4608 E. 31104
Answer:
144
Step-by-step explanation:
The simplified equation would be 4x2x3x3x2 and that put into a calculator is 144
Jason is training to run a marathon. His goal for this week is to run a minimum of 42 miles. So far this week, he has already run 18 miles. Which inequality could be used to determine the mean number of miles, m, he would need to run each day for 6 more days to achieve his goal?
Answer:
6m + 18 ≥ 42
Step-by-step explanation:
6m + 18 ≥ 42
------
No of miles per day=m
Total days=6
Target=42
Finished=18
Inequality
6m+18≥48EASY POINTS!! EASY POINTS!!
Above are two different models of the same rectangle. If the length of the model on the top is 6 cm, what is the length of the model on the bottom?
A. 36 cm
B. 15 cm
C. 21 cm
D. 12 cm
Answer:
A. 36cm
Step-by-step explanation:
When measuring it with a ruler, you will get six of the top rectangle
6 x 6 = 36
2) Poe Tayto wants to
know how long it will take an investment of $1,000
to earn $500 in interest if the yearly interest rate is 4.75%. Please answer fast and show work I will mark you as brain
Answer:
It will take 8.73 years.
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $1,000
Future value (FV)= $1,500
Interest rate (i)= 4.75% compounded annually
To calculate the time required for the initial investment to reach the objective, we need to use the following formula:
n= ln(FV/PV) / ln(1+i)
n= ln(1,500/1,000) / (1.0475)
n= 8.73
It will take 8.73 years.
I will give brainiest
Answer:
B. {1, -4}
Step-by-step explanation:
Just rotate the screen and look at the position.
The Timber Valley Times recorded the number of newspaper deliveries on each route.
Newspaper deliveries
40
50
60
70
80
90
What was the upper quartile of the number of newspaper deliveries?
deliveries
The Timber Valley Times recorded the number of newspaper deliveries on each route.
Newspaper deliveries
40
50
60
70
80
90
What was the upper quartile of the number of newspaper deliveries?
deliveries.
answer:60
determine if x and y are in a proportional relationship! please help!!
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the concept of Proportionality.
Since the ration of proportion is always 2/1 , hence,
==> Yes, x and y are in proportional relationship.
hey! i’ll give brainliest please help.
Answer:
satrapies in the Persian Empire
I believe.
Answer:
I believe Satrapies in the Persian Empire.
Step-by-step explanation:
This isn't a math question but uhh-
pls pls pls help if you know!! I’ll give brainliest pls!
Find the length of arc AC to the nearest tenth
Answer:
135
Step-by-step explanation:
if you think about it al cicle = 360 so its 360- 225= 135
Rylee drew a blue line that was 6 2/7 long and a red line that was 3 4/7 long. How much longer was the blue line than the red line?
Answer:
2 5/7
Step-by-step explanation:
Difference in length = length of blue line - length of red line
[tex]6\frac{2}{7} - 3\frac{4}{7}[/tex]
[tex]3\frac{2-4}{7}[/tex]
Subtract 1 from the whole number and add it to 2, when 1 is added to 2 it becomes (7 + 2) = 9
= 2 5/7
HELP ASAP !!!!!!) Write an expression that would represent 2 times a number increased by 5.
Answer:
y=2x+5
Step-by-step explanation: