Answer:
(x + 1)^2 + (y - 1)^2 = (8.5)^2
Step-by-step explanation:
Consider the general equation of a circle:
(x - h)^2 + (y - k)^2 = (r)^2
Where (h,k) represent the center point of the circle, and r represents the radius of the circle.
For this circle, our center point appears to be at (-1,1) and the circle has a radius of 8.5.
Using this information, we simply plug these values into the general equation to get the following:
(x + 1)^2 + (y - 1)^2 = (8.5)^2
Cheers.
Which is greater than 4? (a) 5, (b) -5, ...
Answer:
(a) 5
Step-by-step explanation:
5 is geater than 4
4 is greater than -5
Figure ABCD is a rectangle Find the value of x
Step-by-step explanation:
Since this is a rectangle these two equations for the length have to equal each other.
2x+4=7x-1
We now need to get all of the x's on one side and constant numbers on the other side.
add 1 to both sides and subtract 2x from both sides.
5=5x
divide 5 from both sides.
x=1
What value of n makes the equation true 2/3 n= -12
Answer:
The answer is - 18
Step-by-step explanation:
[tex] \frac{2}{3} n = - 12[/tex]
To solve the equation multiply both sides of the equation by 3
That's
[tex]3 \times \frac{2}{3} n = - 12 \times 3[/tex]Simplify
[tex]2n = - 36[/tex]Divide both sides of the equation by 2
[tex] \frac{2n}{2} = \frac{ - 36}{2} [/tex]We have the final answer as
n = - 18The value of n that makes the equation true is - 18
Hope this helps you
A board of directors consists of eight men and four women. A four-member search committee is randomly chosen to recommend a new company president. What is the probability that all four members of the search committee will be women?
Answer:
Total probability = 0.002 or 1 / 495
Step-by-step explanation:
Given:
Number of men = 8
Number of women = 4
Total number of person = 12
Find:
All four members will be women
Computation:
1st women probability = (4/12)
2nd women probability = (3/11)
3rd women probability = (2/10)
4th women probability = (1/9)
Total probability = (4/12)×(3/11)×(2/10)×(1/9)
Total probability = 24 / 11,880
Total probability = 0.002 or 1 / 495
The probability that all four members of the search committee will be women is 1.42%.
Since a board of directors consists of eight men and four women, and a four-member search committee is randomly chosen to recommend a new company president, to determine what is the probability that all four members of the search committee will be women the following calculation should be performed:
4/8 x 3/7 x 2/6 x 1/5 = X 0.5 x 0.42857 x 0.333 x 0.20 = X 0.01428 = X 100X = 1.42
Therefore, the probability that all four members of the search committee will be women is 1.42%.
Learn more in https://brainly.com/question/15943145
Why Norway and Switzerland have high HDI value?
Step-by-step explanation:
because of the revenue it recieves from North sea oil and gas
Which of the following functions is neither even nor odd? A. f(x)=x6−3x4−4x2 B. f(x)=2x3−3x2−4x+4 C. f(x)=x5−2x3−3x D. f(x)=6x5−x3
even function : [tex] f(x)=f(-x)[/tex] , odd function: $f(x)=-f(-x)$
it is neither odd nor event when both condition don't hold.
See option B.
$f(x)=2x^3-3x^2-4x+4$
$f(-x)=-2x^3-3x^2+4x+4=-(2x^3+3x^2-4x-4)$
clearly, it is neither odd nor even.
What is the numerical coefficient of the linear term of the quadratic equation 3x2 − 9 =0?
Answer:
0
Step-by-step explanation:
The numerical coefficient of the linear term of the quadratic equation is 0 because there is no linear term, and 0 times any number or term is 0, or nothing.
PLS HELP ME ANSWER THIS QUESTION I DONT UNDERSTAND IT I WILL GIVE BRAINLIST AND A THANK YOU!!!!
Answer:
x=150°
Step-by-step explanation:
Using the vertical angle theorem, you can infer that AEC and DEB are in fact the same angle, 20°, and the same goes for FED and CEG, both 130°.
So, x spans AEC and CEG so is 20° + 130° = 150°
A class sold tickets to their school play. Each of the 232323 students in the class sold 444 tickets. The cost of each ticket was \$7$7dollar sign, 7. How much money did the class earn by selling tickets to the play?
Answer:
722059884 if there are 232323 students
if there are 23 students its 71484
Step-by-step explanation:
hope this helps
Answer: The answer is 644
Step-by-step explanation:
23x4x7=644
If the ratio of two supplementary angles is 10 to 47, calculate the measure of the larger of the two angles.
Answer:
a) 148.52
Step-by-step explanation:
If sum of two angles is 180, then they are supplementary
Ratio = 10 : 47
Smaller angle = 10x
Larger angle = 47x
10x + 47x = 180
57x = 180
Divide both sides by 57
x = 180/57
x = 3.16
Larger angle = 47x = 47 * 3.16 = 148.52
maggie’s brother is 3 years younger than twice her age. The sum of their age is 24. How old is Maggie
Answer:
I HOPE IT WILL WORK
Step-by-step explanation:
let age of Maggie =x years
as given that Maggie brother is 3 year less than twice of her age
hence
brother = (2x-3) years
also given that sum of ages =24
hence
x+(2x-3)=24
3 x-3=24
3 x=27
x=9 years Maggie
so his brother=9-3=6 years
pls hit the star and brainlist it if you found it helpfull thanks
trigonometry help got one right need help with another
Answer:
B. [tex] \frac{HI}{GI} [/tex]
Step-by-step explanation:
The trigonometric ratio formula for tangent of any angle in a right triangle is given as:
tan(θ) = [tex] \frac{opposite}{adjacent} [/tex]
Note: it is the length of the side opposite to the θ, and the length of the side adjacent to θ.
Thus, in the right triangle given, ∆GHI,
θ = <G
The length of side the opposite <G = HI
The length of the side adjacent to <G = GI
Therefore, the equivalent of tan(<G) = [tex] \frac{HI}{GI} [/tex]
Jayde is wrapping a cube shape present that is 14 inches tall. How much wrapping paper will be needed to wrap the whole present?
Answer:
1176in^2
Step-by-step explanation:
find the surface area of the cube
(14*14)6=1176 inches cubed
14*14 is finding the area of one side and then we multiply it by six because that's how many congruent sides there are
Answer:
[tex]\large\boxed{1,176 in^{2} }[/tex]
Step-by-step explanation:
The cube is 14 inches tall
All of the sides in a cube are the same, which means:
Length = 14 inches
Width = 14 inches
Height = 14 inches
There are 6 sides in a cube. Each side has a length and a width.
We can use the following formula to find the surface area (SA) of the cube, or how much wrapping paper Jayde will use.
SA = # of Sides(Length(Width))
Plug in known values
SA = 6((14)(14))
The 14s represent the length and width while the 6 represents the number of sides in the cube.
Solve/Simplify
SA = 6(196)
SA = 1,176 inches²
Jayde will need to use 1,176 in² of wrapping paper to wrap the whole present.
Hope this helps :)
Point K on the number line shows Kelvin's score after the first round of a quiz: A number line is shown from negative 10 to 0 to positive 10. There are increments of 1 on either side of the number line. The even numbers are labeled on either side of the number line. Point K is shown on 3. In round 2, he lost 9 points. Which expression shows how many total points he has at the end of round 2? 3 + (−6) = −9, because −9 is 6 units to the left of 3 3 + 6 = −9, because −9 is 6 units to the left of 3 3 + (−9) = −6, because −6 is 9 units to the left of 3 3 + 9 = −6, because −6 is 9 units to the left of 3
Answer:
The correct option is;
3 + (-9) = -6, because -6 is 9 units to the left of 3
Step-by-step explanation:
The given information are;
Kelvin's score after the first round is shown at point K on the number line
The range of numbers on the number line = -10 to +10
The position of point K after the first round = +3
The number of points Kevin lost in the second round = 9 points
Therefore, Kevin's cumulative score = +3 - 9 = -6
Therefore, the expression that shows how many total points he has at the end is of round 2 = 3 + (-9) = -6, because -6 is 9 units to the left of 3.
Find the values of the apple, banana and lollypop below.
Pls help
Answer:
a= Apple = 3
b= Banana =5
v= Lollypop=1
Step-by-step explanation:
36 is divided into 2 giving us 18
Let apple=a
Banana=b
Lollypop=c
In the first half
An apple + 3 bananas=18
a+3b=18 (1)
Second half is further divided into 2
That is,
18÷2=9
First half of the second half
3apples=9
3a=9 (2)
Second half of the second half
1 apple + 1 banana + 1 lollypop=9
a+b+c=9 (3)
a+3b=18 (1)
3a=9 (2)
a+b+c=9 (3)
From (2)
3a=9
Divide both sides by 3
a=9/3
a=3
Substitute a=3 into 1
a+3b=18
3+3b=18
3b=18-3
3b=15
Divide both sides by 3
b=15/3
=5
b=5
Substitute the value of a and b into (3)
a+b+c=9
3+5+c=9
8+c=9
c=9-8
c=1
Therefore,
a= Apple = 3
b= Banana =5
v= Lollypop=1
help pleaseeeeee!!!!!!!!!! How many unit cubes would it take to completely fill the prism with no gaps between unit cubes?
Answer:
72
Step-by-step explanation:
As you can see the top - view is a rectangle of 2 by 9 dimensions. Respectively the right - side view is a rectangle of 2 by 4 dimensions. The common dimension among both rectangles would be 2, making this rectangular prism have dimensions 2 by 4 by 9.
Therefore the rectangular prism will have a volume of 2 [tex]*[/tex] 4 [tex]*[/tex] 9
2 [tex]*[/tex] 4 [tex]*[/tex] 9 = 8( 9 ) = 72 cubic units
Solution : 72 unit cubes
Worth 20pts need help right away
Q. Make an equation that describes the table of values below
Ps pls explain work it’s worth 20 pts
Answer:
y=2x+1
Step-by-step explanation:
there's nothing to show, sorry
ask me if you have question
solve for y. -y/3 = -23 simplify your answer as much as possible
Answer:
69
Step-by-step explanation:
-y/3 = -23
=> -y = -23 x 3
=> -y = -69
=> y = 69
Answer:
69
Step-by-step explanation:
We multiply both sides of the equation by 3 to cancel out the denominator. That gives us -y=-69. Since we cannot have a negative variable, we change the values on both sides, giving us y=69
if A+B+C=π prove that sinA+sinB+sinC=4cosA/2 cosB/2 cosC/2
Answer:
oyo archer comes here in answer your real answer it is 7 divided by 7 divided / 2 / to the answer X to other words if you're into Google with answers in churches of students
hey guys i need help again with this plzz help me
Answer: A) -4
================================================
Explanation:
The 3^0 in the denominator is equal to 1. Any nonzero number raised to an exponent of 0 is always 1. So this equation x^0 = 1 is true when x is nonzero.
This allows us to simplify to the equation 3^x = 1/81
Note how 81 = 3^4. Taking the reciprocal of 81 means the exponent goes from positive to negative. So 3^(-4) = 1/81. The rule is x^(-k) = 1/( x^k ). We could use logarithms to solve 3^x = 1/81.
what is 3/8 as a proportional ratio fraction
Maya wrote the expression 3 + 5 + 4.5 to represent the total distance that she traveled. Which statement best describes Maya’s expression?
Answer:
A is the answer .Step-by-step explanation:
You can add the numbers in different ways but still get the same answer.
1. 3 + 5 + 4.5 = 12.5
2. 5 + 3 + 4.5 = 12.5
3. 3 + 4.5 + 5 = 12.5
4. 5 + 4.5 + 3 = 12.5
5. 4.5 + 5 + 3 = 12.5
6. 4.5 + 3 + 5 = 12.5
These a couple of different ways you can add the numbers to get the same answer. This shows proof of how the associative property is related and gets you the correct answer no matter how the numbers are positioned.
P.S - You can solve this for different numbers.
Hope this helped,
Kavitha
Determine if the triangles are congruent.
Answer:
Answer to number 3:
Yes, because these two are similar triangles for sure so all their respective angles are equal in measure, and two pairs of sides are congruent to each other, so the third one must be congruent too.
[tex]\sqrt{\frac{4e}{3f} }[/tex]
Answer:
2√e√3√f / 3f
Step-by-step explanation:
√4√e / √3√f
2√e / √3√f * (√3√f / √3√f)
2√e√3√f / 3f
A restaurant wanted to track how much of a quart of soda customers drank at a meal. The line plot displays the data collected by the restaurant. How much more soda did the customers who drank 3/4 of a quart drink than the customers who drank 1/4 of a quart?
Answer:
C
Step-by-step explanation:
13/4 simplified---->3and 1/4
can u explain and answer this question for me thanks
Answer:
f(x)= x-6
g(x)= x^1/2 (x+3) =√x(x+3) = x √x + 3√x
g(x) × f(x)
=(x√x + 3√x) (x-6)
= x²√x -6x√x + 3x√x - 18√x
= x²√x -3x√x - 18 √x
= x^5/2 - 3x^3/2 - 18^1/2
= √x^5 - 3√x^3 - √18 (B)
Note:
√x = x^1/2
x √x = x^1 × √x= x^1+1/2= x^3/2
x²√x= x^2 × x^1/2 = x^2+1/2 = x^ 5/2
I hope this helps
if u have question let me know in comments ^_^
Is there an association between favorite core subject and favorite elective? If so, describe it.
Answer:
Yes
Step-by-step explanation:
Take note that a favorite core subject represents subjects that are widely recognized as important to the student's line of study, they include subjects like Maths, English, Science, and Engineering.
While Elective subjects are optional subjects that are deemed less important than the core, but by choosing one's favorite elective subject shows that individual places a certain level of importance that is almost that of the core subject.
What is the measure of angle B?
Answer:
b = 60
Step-by-step explanation:
The sum of the angles of a triangle are 180
80+40+b = 180
Combine like terms
120+b =180
Subtract 120 from each side
b = 180-120
b = 60
Answer:
60°
Step-by-step explanation:
Recall that all triangles have an interior angle sum of 180. In other words:
[tex]\angle A+\angle B +\angle C = 180[/tex]
Plug in the angle values we know:
[tex](80)+(40)+\angle B = 180\\120+\angle B =180\\\angle B = 60\textdegree[/tex]
If JK = 28, JL = 20, KL = 13, and ML = 22, calculate NL. Image not set to scale.
Answer:
NL = 440 /13 or 33.85 (to two decimals)
Step-by-step explanation:
Consider triangles JKL and NML
angle JLK = angle NLM vertical angles
angle KJL = angle MNL given
Therefore triangles JKL and NML are similar
By proportion of corresponding sides of similar triangles,
NL / JL = LM / LK
Substitute given values
NL / 20 = 22 / 13
solve for NL
NL = 20*22 / 13 = 440 /13 or 33.85 (to two decimals)
Answer:
[tex]\huge \boxed{33.85}[/tex]
Step-by-step explanation:
JL is similar to NL. KL is similar to ML.
We can use ratios to solve.
JL/KL = NL/ML
Let the length of NL be x.
20/13 = x/22
Cross multiply.
13 × x = 22 × 20
13x = 440
Divide both sides by 13.
(13x)/13 =440/13
x = 440/13 = 33.846154...
if it takes a half of a cup of oil to make 20 cookies how much oil is needed to make 5 cookies?? please help.
Answer:
We need 1/8 cup
Step-by-step explanation:
We can use ratios to solve
1/2 cup x cups
------------ = -----------------
20 cookies 5 cookies
Using cross products
5 * 1/2 = 20x
Divide each side by 20
5/2 * 1/20 = 20x/20
5/40 =x
1/8 =x
We need 1/8 cup
Answer:
Step-by-step explanation:
step 1: you know that 1/2 c of oil makes 20 cookies.
step 2: if you only have 1/4 c (half of 1/2 cup), then you can make 10 cookies.
Step 3: 1/8 c would make 5 cookies.