Answer:
The center is ( -5, -10) and the radius = 6.
Step-by-step explanation:
Convert the equation to standard form by completing the square;
x^2 + y^2 - 10x + 20y + 89 = 0
x^2 + y^2 - 10x + 20y = -89
x^2 - 10x + y^2 + 20y = -89 Completing the square:
(x + 5)^2 - 25 + (y + 10)^2 - 100 = -89
(x + 5)^2 + (y + 10)^2 = -89 + 125
(x + 5)^2 + (y + 10)^2 = 36
Comparing this to the standard form:
( x - h)^2 + (y - k)^2 = r^2
- we see that the center is ( -5, -10) and the radius = 6.
what is the gcf of 36 and 78
Answer:
6
Step-by-step explanation:
36: 2 2 3 3
78: 2 3 13
GCF: 2 3
2x3=6
hope this helps
HAVE noice DAY ^_^In the diagram, which two angles are alternate interior angles with angle 14?
4 lines intersect to form 16 angles. The angles created, clockwise from top left are 1, 2, 3, 4; 5, 6, 7, 8; 13, 14, 15, 16; 9, 10, 11, 12.
Angle 4 and Angle 12
Angle 3 and Angle 9
Angle 2 and Angle 10
Angle 12 and Angle 15
Answer:
Angle 4 and Angle 12Step-by-step explanation:
Angles 4 and angles 12 are alternate interior angles with 14.
Angle 4 is alternate interior with angle 14, and angle 12 is alternate interior with angle 14.
The person that answered above me is wrong. But there is some truth to his answer, because angle 3 is alternate interior with angle 9, but they are NOT alternate interior WITH angle 14.
That is why many people answering this question fail. The question says:
In the diagram, which two angle ARE alternate interior angles WITH angle 14?
To finally answer the question completely, angles 4 and 12 ARE alternate interior angles WITH angle 14.
Therefore the guy above me is 100% wrong.
Hence, the right option is (A).
which of the following numbers are solutions of the sentence x - 3 < 2 ?
Answer:
J
Step-by-step explanation:
you get -6, -3, and -1 which are all less than 2
By options all the solutions are,
⇒ x = - 3, 0 , 2
Because all are less than 5.
What is mean by Inequality?
A relation by which we can compare two or more mathematical expression is called an inequality.
We have to given that;
Inequality is,
⇒ x - 3 < 2
Now, We can simplify as;
⇒ x - 3 < 2
Add 3 both side,
⇒ x - 3 + 3 < 2 + 3
⇒ x < 5
Hence, By options all the solutions are,
⇒ x = - 3, 0 , 2
Because all are less than 5.
Learn more about the inequality visit:
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Can someone help me, please!!
What is the least common multiple (LCM) of 10 and 12??
answers:
А:120
B:60
С:24
D:2
Answer:
The answer is B:60
Step-by-step explanation:
The LCM of 10 and 12 is B. 60
(-5+6) + (-9-23)
Find the sum
Answer:
-31
Step-by-step explanation:
-5+6=1
-9-23=-32
1+-32=-31
Answer:
The answer is -31
Step-by-step explanation:
First, you would add everything in the parenthesis. Negative 5 added to 6 gives you a sum of 1, while negative 9 subtracted from 23 would give you negative 32. Once you have these two values, simply combine the totals to get negative 31
(1) + (-32) = -31 :)
Hank and Lynn are both paying off car loans. • Hank paid $2,000 up front when he bought his car, and he pays $200 each month. • Lynn did not pay any money up front when she bought her car, and she pays $275 each month. Is the relationship between the number of months and the total amount paid proportional for both Hank's and Lynn's loans? Use the drop down menu to explain your answer
Answer:
Proportional for Lynn but not HankStep-by-step explanation:
Proportional relationship formula: y = kxHankHank paid $2,000 upfront when he bought his car, and he pays $200 each month.
This relationship is:
H(x) = 2000 + 200xThis is not proportional.
LynnLynn did not pay any money upfront when she bought her car, and she pays $275 each month.
This relationship is:
L(x) = 275xThis is proportional.
So the answer is:
The relationship between the number of months and the total amount paid is proportional for Lynn's loan.Please help me on this geometry question. Is it x axis tangent or y axis tangent?
Answer:
Step-by-step explanation:
the false statement is " the y axis is tangent to the circle"
PLEASEEEEE HELPP !!!!!
A lake near Susan's house is predicted to lose water every
day because of a drought. The table shows the estimated
water depth in feet, y, after x days of drought.
Answer:
y = -0.5x + 100
Step-by-step explanation:
Im not really sure what i was supposed to answer but i hope it helped.
Answer:
A. y = −0.5x + 100
Step-by-step explanation:
The sides of a rectangle are in the ratio 3.2. What is the lengi
of each side if the perimeter of the rectangle is 55 cm?
Answer:
11 and 16.5
Step-by-step explanation:
3x : 2x = length: width
55 = (3 + 2)(2)x -->
55 = 10x -->
5.5 = x -->
11 and 16.5 = width, length
Answer:
16.5
Step-by-step explanation:
A \greenD{7\,\text{cm} \times 5\,\text{cm}}7cm×5cmstart color #1fab54, 7, start text, c, m, end text, times, 5, start text, c, m, end text, end color #1fab54 rectangle sits inside a circle with radius of \blueD{6\,\text{cm}}6cmstart color #11accd, 6, start text, c, m, end text, end color #11accd.
What is the area of the shaded region?
Round your final answer to the nearest hundredth.
Answer:
its 78.1
Step-by-step explanation:
Answer:
78.1
Step-by-step explanation:
On khan academy :)
Scenario 1
Karissa has been working at her job in retail for three years. She’s looking forward to the raise she’ll be getting next month when the minimum wage goes up by $0.50. She plans to use some of the extra money to pay her bills and save the rest.
Scenario 2
Marta has owned her popular clothing store for 10 years. She prides herself on offering good service to all her customers. To achieve this level of service, she has always had five employees work in the store every day. She will have to increase the hourly wage she pays her employees next month when the minimum wage goes up. She is concerned about how she will come up with the extra money to pay her employees. She’s trying to decide between two options: increasing the prices she charges for items and reducing the number of employees working in the store each day.
How do Karissa and Marta differ in their reactions to the increase in the minimum wage?
Answer:
Karissa is happy with the increase in minimum wage. She will be able to save money.
Marta is worried because she has to choose between increasing the prices of her items and reducing the number of employees.
Classify the following polynomial by its degree value.
–x2 + x2y6 – 10z4
Question 4 options:
A)
Degree value of 9
B)
Degree value of 10
C)
Degree value of 8
D)
Degree value of 7
Answer:
C) Degree value of 8.
Step-by-step explanation:
The term with the highest degree is x^2y^6 - which is 8.
what is the center?
the circle passes through the point (-7,-7). what is the radius?
We have been given image of circle that passes through point [tex](-7,-7)[/tex]. We are asked to find the radius of the circle.
First of all, we will find the center of the circle.
We can see that center of circle is at point [tex](-2,-1)[/tex].
Now we will use equation of circle to find radius.
[tex](x-h)^2+(y-k)^2=r^2[/tex], where, point (h,k) represents center of circle and r represents radius of circle.
Now we will substitute the coordinates of point [tex](-7,-7)[/tex] and coordinates of center [tex](-2,-1)[/tex] and solve for r as:
[tex](-7+2)^2+(-7+1)^2=r^2[/tex]
[tex](-5)^2+(-6)^2=r^2[/tex]
[tex]25+36=r^2[/tex]
[tex]61=r^2[/tex]
Switch sides:
[tex]r^2=61[/tex]
Now we will take positive square root on both sides:
[tex]\sqrt{r^2}=\sqrt{61}[/tex]
[tex]r=\sqrt{61}[/tex]
Therefore, radius of circle will be [tex]\sqrt{61}[/tex] and center is at point [tex](-2,-1)[/tex].
Translate the sentence into an equation,
The quotient of a number and 8 is 16,
What is the solution to the equation?
128
164
Answer:
128
Step-by-step explanation:
"The quotient of a number and 8 is 16" becomes
n/8 = 16
If we multiply both sides by 8, we get
n = 8(16) = 128
Answer:
The answer is 128 (c)
Step-by-step explanation:
please respond with the format showed on the picture so use . after the letter and display the answer
Answer:
a. subtract 7 from 10
Step-by-step explanation:
parenthesis goes before everything in this equation
there's something wrong with my eyes, i can't see when i close them. plz help me!!!!!
Step-by-step explanation:
Wow no way! You must have like a disorder or smthing! U should go to the doctor right away! U know what, so should I since I have the same problem as u!!
Answer: Your eyelids are doing it’s thing.
Step-by-step explanation: This happens to me as well. I can’t see when I close my eyelids.
Determine if the triangles, APQT and AQRS, are similar. If so, identify the similarity criterion
A)
AA similarity
Gaping
Calc
B)
SAS similarity
09
SSS similarity
Formulas
D)
not similar
Answer:
see explanation
Step-by-step explanation:
Consider the ratios of corresponding sides
[tex]\frac{PQ}{QR}[/tex] = [tex]\frac{30}{15}[/tex] = 2
[tex]\frac{PT}{QS}[/tex] = [tex]\frac{20}{10}[/tex] = 2
[tex]\frac{QT}{RS}[/tex] = [tex]\frac{28}{14}[/tex] = 2
Since the ratios of corresponding sides are equal, then
Δ PQT and Δ QRS are similar by the SSS postulate
Olivia is on a swing at the playground at which points is her kinetic energy the greatest and her potential the least?
A. Y and W
B. W and Z
C. W and X
D. X and Y
Answer:
Olivia is on a swing at the playground. Her kinetic energy increasing at x and her potential energy decreasing at x. At mean position velocity is maximum so kinetic energy ( K.E ) is also maximum and at mean position potential energy is minimum. Therefore, kinetic energy is increasing and potential energy decreasing at x.
Answer: D. X and Y
Explanation:
At both W and Z, Olivia's potential energy is the highest. But, as she's in between the highest points, she's transitioning to them. Both X and Y have a substantial amount of kinetic energy.
I hope this helped !
Good luck <3
ASAP PLS
How many cubic centimeters of water can this paper cone cup hold?
8 centimeters
192 cubic centimeters
1447 cubic centimeters
9 centimeters
216 cubic centimeters
487 cubic centimeters
Vcone =
Answer:
48π
Step-by-step explanation:
The radius is 4 and the height is 9
V=1/3*π 4^2*9
Simplify:
48π
find the surface area of the square pyramid
Kim works at an ice-cream store. She wants to calculate how much ice-cream one cone can hold. If the cone is 6 inches tall and the circular opening at the top is 2.5 inches across, how much can the cone hold? Round to the nearest tenth at the end.
Answer:
The cone holds 9.8 cubic inches ice cream
Step-by-step explanation:
Height of cone = 6 inches
The circular opening at the top is 2.5 inches across
Diameter of cone = 2.5 inches
Radius of cone = [tex]\frac{2.5}{2}=1.25[/tex]
Volume of cone = [tex]\frac{1}{3} \pi r^2 h[/tex]
Volume of cone = [tex]\frac{1}{3} \times 3.14 \times 1.25^2 \times 6[/tex]
Volume of cone = [tex]9.8125 in^3[/tex]
Hence the cone holds 9.8 cubic inches ice cream.
Which of the following is true about the bird population? Please!!!
Answer:
D
Step-by-step explanation:
if something is multiplied by 1.025 it is increasing by 2.5 percent
Answer:
D , 2.5%
Step-by-step explanation:
1.025 - x = 1; x = .025; as a percent = .025 * 100 = 2.5%.
Using the graph, determine the equation of the axis of symmetry.
Answer:
the answer is (-1, -9)
that is the axis of symmetry
This is an upward-facing parabola the axis of symmetry is a line of the form x = -a that is constant.
How to find the points symmetric over axes or origin?Let the point be (x,y)
Case 1: Symmetry with respect to the x-axis
The point becomes (x, -y) as the point flips itself up or down which changes its y coordinate to the negative of whatever it was previously. And no motion is done horizontally so no change in x coordinate.
Case 2: Symmetry with respect to y-axis
The point becomes (-x, y) as the point flips itself left or right which changes its x coordinate to negative of whatever it was previously. And no motion is done vertically so no change in y coordinate.
Case 3: Symmetry with respect to origin
Origin is point at (0,0)
Symmetry with this is a bit ill defined. We use a slant line as if its a diagonal of a square.
The point is reflected to its diagonally opposite quadrant to whatever coordinate it belongs to.
Since diagonally opposite reflection causes both x and y axis to become negative of what it was before, thus,
The point becomes (-x,-y)
The axis of symmetry is where the left side is the mirror image of the right side.
Since this is an upward-facing parabola the axis of symmetry is a line of the form x = -a that is constant.
It will be the x coordinate of the vertex
x = 1
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PLEASE HELP ME, I WILL GIVE U BRAINLIEST,
Answer:
around 9.8
Step-by-step explanation:
This is a right triangle, so to find x, you can use pythagorem theorem:
So...
23^2+x^2=25^2
529+x^2=625
x^2=96
x is around 9.8
Answer:
9.79 or 9.9
Step-by-step explanation:
Its around 9, estimation...
α-2.01=5.5
b+2.01=5.5
10c=13.71
100d=13.71
Help.
Answer: c. fo so!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
What is the rank of Brazil. (Percentile wise)
Answer:
I dont know it this is the answer u r looking for but out of everything on the list, brazil has 2.2222222222222 percent
Answer:
3.9%
Step-by-step explanation:
add up all the Olympic medals =485
Brazil = 19
to get the rank of Brazil 19/ 485 =0.039175..... multiply by 100 to get %
how to i find b in y=my+b if the slope is undefined?
Answer:
By finding the y- intercept in the graph.
Step-by-step explanation:
This is the only point in the graph that is on the y axis.
Fill in the blanks to complete the table.
The solution to f(x) = g(x) is x =
Blank 1:
Blank 2:
Blank 3:
Blank 4:
Blank 5:
Blank 6:
Blank 7:
Blank 8:
Blank 9:
Blank 10:
Blank 11:
Blank 12:
Blank 13:
Answer:
you plug in the numbers into the function
Step-by-step explanation
function 1 is blank 1 is 17
2) is 16 3) is 15 4) is 12 5) is 7 6) is 0 and so on
for function 2 blank 1 is 1
2) is 0 3) is -1 4) is -2 5) is -3 6) is -4 and so on
does that help?
Joe has 10 marbles. Ken has fewer marbles than Joe. Which inequality represents the
number of marbles m that Ken has?
m
= 10
m
<10
m
> 10
m
< 10
Answer:
The 2nd and 4th (m<10)
Step-by-step explanation:
The symbol used is a less than sign, so the inequality is saying m is less than 10, and since Ken=m Ken has fewer marbles.
Answer:
Step-by-step explanation:
