Answers
Answer:
Second option is the right choice.
Step-by-step explanation:
(x - h)^2 + (y - k)^2 = r^2
Where, (h, k) is the center of the circle.
So, for the given equation, we have the center at:
(h, k) = (-5, 2)
Best Regards!
Related Questions
Select the correct answer. Which statement is true for the numbers 2.5 and -2.5? A. On the horizontal number line, 2.5 and -2.5 are equal and are located on the same point. B. On the horizontal number line, -2.5 is located to the left of zero and 2.5 is located to the right of zero. C. On the horizontal number line, 2.5 and -2.5 are both located to the right of zero. D. On the horizontal number line, 2.5 is located to the left of zero and -2.5 is located to the right of zero.
Answers
Answer:
B
Step-by-step explanation:
On the horizontal number line, -2.5 is located to the left of zero and 2.5 is located to the right of zero.
On the number line, the numbers left side of zero are all negative numbers, and the numbers right side of zero are all positive numbers.
Rahul solved the equation 2(x – ) – 2 left-parenthesis x minus StartFraction 1 Over 8 EndFraction right-parenthesis minus StartFraction 3 Over 5 EndFraction x equals StartFraction 55 Over 4 EndFraction x = 2 left-parenthesis x minus StartFraction 1 Over 8 EndFraction right-parenthesis minus StartFraction 3 Over 5 EndFraction x equals StartFraction 55 Over 4 EndFraction . In which step did he use the addition property of equality? A table titled Rahul's Solution with 2 columns and 5 rows. The first column, Steps, has the entries 1, 2, 3, 4. The second column, Resulting equations, has the entries, 2 x minus StartFraction 1 Over 4 EndFraction minus StartFraction 3 Over 5 EndFraction x equals StartFraction 55 Over 4 EndFraction, StartFraction 7 Over 5 EndFraction x minus StartFraction 1 Over 4 EndFraction equals StartFraction 55 Over 4 EndFraction, StartFraction 7 Over 5 EndFraction x equals StartFraction 56 Over 4 EndFraction, x equals 10. Step 1 Step 2 Step 3 Step 4
Answers
Answer:
Step 3
Step-by-step explanation:
The solution is given in the image attached. The steps are:
Step 1:
[tex]2x-\frac{1}{4} -\frac{3}{5}x=\frac{55}{4}[/tex]
Step 2: simplifying the coefficients of x:
[tex]2x -\frac{3}{5}x-\frac{1}{4}=\frac{55}{4}\\\frac{10x-3}{5} -\frac{1}{4}=\frac{55}{4}\\\frac{7x}{5} -\frac{1}{4}=\frac{55}{4}[/tex]
Step 3: Adding 1/4 to both sides
[tex]\frac{7x}{5} -\frac{1}{4}+\frac{1}{4} =\frac{55}{4}+\frac{1}{4}\\ \frac{7x}{5}=\frac{55+1}{4}\\ \frac{7x}{5}=\frac{56}{4}\\[/tex]
Step 4: Multiplying both sides by 5/7
[tex]\frac{7x}{5}*\frac{5}{7} =\frac{56}{4}*\frac{5}{7} \\x=10[/tex]
The addition property of equality states that if a number is added to both sides of an equation, the equation is still valid (i.e the equation is still the same). From the steps above, The addition property of equality was applied in step 3
Answer:
c. step 3
Step-by-step explanation:
The area of the triangle ABD is 56cm2. Work out the length of CD
Answers
Answer:
8.2
Step-by-step explanation:
Area of triangle is calculated by multiplying height to the base and that divided by two
20 × h ÷ 2 = 56^2
h = 5.6
The square length of CD is equal to sum of square length of height and base
6^2 + 5.6^2 = CD^2
CD = 8.2
In a fruit cocktail, for every 30 ml of orange juice you need 20 ml of apple juice and 50 ml of coconut milk. What proportion of the cocktail is apple juice? Give your answer as a fraction in its simplest form.
Answers
Answer:
1/5
Step-by-step explanation:
Since we have given that
Quantity of orange juice = 30 ml
Quantity of apple juice = 20 ml
Quantity of coconut juice = 50 ml
Total quantity of cocktail = 100 ml
So, the ratio of orange juice to apple juice to coconut juice is given by
=30:20:50
= 3:2:5
Total ratio=3+2+5
=10
So, proportion of the cocktail of apple juice is given by
2/10×100
=1/5×100
=20%
Hence, the proportion of the cocktail is 1/5 apple juice
PLEASE HELP I WILL MARK YOU THE BRAINIEST Using the graph, identify the slope and y-intercept. Then write an equation that represents the linear relationship.
Answers
Answer:
slope = -2
y-intercept = 2
equation: y = -2x + 2
Step-by-step explanation:
The equation of a line is
y = mx + b
We need to find the slope, m, and the y-intercept, b.
The graph crosses the y-axis at y = 2, so the y-intercept, b, equals 2.
Now we have
y = mx + 2
slope = m = rise/run
We see points (1, 0) and (0, 2) on the graph. Starting at (1, 0), we go up 2 units. That is a rise of 2. Then we go 1 unit left. That is a run of -1.
slope = m = rise/run = 2/(-1) = -2
The slope is -2.
The equation is
y = -2x + 2
Answer:
y=-2x+2
Step-by-step explanation:
Using rise over run the line travels down 2 and right one from one point to another giving u -2/1 or -2 as the slope and it passes through the y-axis at 2 giving you a y-intercept of 2 and the equation y=-2x+2.
Help!!!!! please!!!!!
Answers
Answer:
192.154 ft²
Step-by-step explanation:
Area of a Hexagon Formula: A = 3√3/2(x)²
x is the side of the hexagon. We simply plug in 8.6 in for x:
A = 3√3/2(8.6)²
A = 3√3/2(73.96)
A = 221.88√3/2
A = 110.94√3
A = 192.154
Answer:
~192.2
Step-by-step explanation:
The area of a regular hexagon is calculated by:
A = [3*sqrt(3)/2]x side x side = 3*sqrt(3)/2 x 8.6^2 = ~192.2
What are the solutions of 3x2 + 6x + 15=0 ?
Answers
Answer:
x = -1 ± 2i
Step-by-step explanation:
Quadratic Formula: [tex]x = \frac{-b+/-\sqrt{b^2-4ac} }{2a}[/tex]
√-1 = i
Step 1: Factor GCF
3(x² + 2x + 5)
Step 2: Use quadratic formula
a = 1
b = 2
c = 5
[tex]x = \frac{-2+/-\sqrt{2^2-4(1)(5)} }{2(1)}[/tex]
[tex]x = \frac{-2+/-\sqrt{4-20} }{2}[/tex]
[tex]x = \frac{-2+/-\sqrt{-16} }{2}[/tex]
[tex]x = \frac{-2+/-i\sqrt{16} }{2}[/tex]
[tex]x = \frac{-2+/-4i }{2}[/tex]
[tex]x = \frac{-2(-1+/-2i) }{2}[/tex]
x = -1 ± 2i
How many 9-digit palindromes are there with all the digits being even and each digit appearing no more than twice?
Answers
Answer: 96
Step-by-step explanation:
A palindrome is a number that is the same when reading in both ways (right to left, and left to right), for example, 121
Then, we have 9 digits, and all the digits need to be even.
the options are: 0, 2, 4, 6, 8.
Now, we can tink a 9 digit number as 9 empty slots, and in each slot, we can put a number.
But because this is a palindrome, the first digit must be equal to the ninth, and the second digit must be equal to the eight, and so on.
So we can tink it as actually only 5 slots, where in each slot, we can put an even number, now let's count the options that we have in each selection.
For the first digit we have 4 options: 2, 4, 6 and 8 (0 is not counted here because if the first digit was a 0, then this would not be a 9 digit number).
for the second digit, we have also 4 options (because we already toked one, but now the 0 can be chosen)
for the third digit, we have 3 options
for the fourth digit, we have 2 options
for the fifth digit, we have only one option.
The total number of combinations is equal to the product of the number of options for each selection:
C = 4*4*3*2*1 = 96
Answer:
96
Step-by-step explanation:
AABC has vertices at A(12, 8), B(4,8), and C(4, 14).
AXYZ has vertices at X(6, 6), Y(4, 12), and Z(10, 14).
AMNO has vertices at M(4. 16), N(4.8), and O(-2.8).
AJKL has vertices at J(14, -2), K(12, 2), and L(20, 4).
are congruent. A
is a single rigid transformation that maps the two congruent triangles.
Triangle ABC and triangle XYZ
Triangle ABC and triangle MNO
Triangle JKL and triangle ABC
Triangle MNO and triangle XYZ
Answers
Answer:
Triangle ABC and triangle MNO are congruent. A Rotation is a single rigid transformation that maps the two congruent triangles.
Step-by-step explanation:
ΔABC has vertices at A(12, 8), B(4,8), and C(4, 14).
length of AB = √[(12-4)² + (8-8)²] = 8length of AC = √[(12-4)² + (8-14)²] = 10length of CB = √[(4-4)² + (8-14)²] = 6ΔMNO has vertices at M(4, 16), N(4,8), and O(-2,8).
length of MN = √[(4-4)² + (16-8)²] = 8 length of MO = √[(4+2)² + (16-8)²] = 10length of NO = √[(4+2)² + (8-8)²] = 6Therefore:
AB ≅ MNAC ≅ MOCB ≅ NOand ΔABC ≅ ΔMNO by SSS postulate.
In the picture attached, both triangles are shown. It can be seen that counterclockwise rotation of ΔABC around vertex B would map ΔABC into the ΔMNO.
A store sells cards on each of which there are drawings of different flowers: either roses, either daisies, either tulips, either sunflowers. Each card also has a message: either "Happy birthday!", "Happy holidays!", or "Happy anniversary!". What is the greatest possible amount of different cards that this store sells?
Answers
Answer:
12
Step-by-step explanation:
4 types of flowers, 3 messages, therefore 3x4=12
Sunflower: Daisy: Tulip: Roses:
Birthday Birthday Birthday Birthday
Holiday Holiday Holiday Holiday
Anniversary Anniversary Anniversary Anniversary
COUNT ALL OF THE HOLIDAYS AND THAT NUMBER IS GONNA BE YOUR ANSWER.
Valentino sells ice cream cones and ice cream tubs.
The ice cream flavours are chocolate, strawberry and vanilla.
On Sunday, 120 people each bought one ice cream from Valentino. The two-way table shows some information about these ice creams.
One of the 120 people is picked at random.
Find the probability that this person bought a vanilla ice cream cone.
Answers
Answer:
11/60 so around 18.33%
Step-by-step explanation:
hello
in total there are 120 ppl
22 are vanilla cones
so the probability that this person bought a vanilla a ice cream cone is 22/120=11/60
hope this helps
Determine the solution set 2x+3(4-x)≤x<2(x+1)
Answers
Answer:
6≤x>2
Step-by-step explanation:
2x+3(4-x)≤x<2(x+1) simplify
2x+12-3x≤x<2x+2
first step:
-x+12≤x
-x+12+x≤x+x
12≤2x , then 12/2 ≤ x
6≤x or x ≥ 6
second step: x<2x+2
x-2x<2x-2x+2
-x<2 when divide by negative the sign flip in this case from less to great than
x>2
6≤x>2
Which of the diagrams below represents the statement "If it is a square, then
it is a rectangle"?
Answers
Answer:
A
Step-by-step explanation:
Im not 100% but im sure I did this question
The diagram which correctly represents the statement "If it is a square, then it is a rectangle" is; Figure A.
From set theory;
The statement " if it is A, then it is B" simply can be translated mathematically as A is a subset of B.
As such, every element of the set A is an element of Set B.In this case, Since the statement is; "If it is a square, then it is a rectangle".
The figure A correctly represents the statement; "If it is a square, then it is a rectangle".
Read more;
https://brainly.com/question/6075184
Can someone please provide an example problem showing multiplying and dividing rational expressions? I'm trying to get ready for a DBA tomorrow. Thank you!
Answers
Step-by-step explanation:
To multiply rational expressions, simply multiply the numerators together (the tops) and the denominators together (the bottoms).
For example:
[tex]\frac{x+a}{y+b}\times\frac{x+c}{y+d}[/tex]
[tex]= \frac{(x+a)(x+c)}{(y+b)(y+d)}[/tex]
[tex]=\frac{x^{2}+ax+cx+ac}{y^{2}+by+dy+bd}[/tex]
To divide by a rational expression, multiply by its reciprocal. In other words, flip the fraction, then multiply.
For example:
[tex]\frac{x+a}{y+b}\div\frac{x+c}{y+d}[/tex]
[tex]=\frac{x+a}{y+b}\times\frac{y+d}{x+c}[/tex]
[tex]=\frac{(x+a)(y+d)}{(x+c)(y+b)}[/tex]
[tex]=\frac{xy+dx+ay+ad}{xy+bx+cy+bc}[/tex]
Justin earned scores of 85, 92, and 95 on his science tests. What does he need
to earn on his next science test to have an average (arithmetic mean) of 93%?
Answers
Answer:
Justine needs to score a 100 to have an average of 93%.
Step-by-step explanation:
Given:
Justin scores 85, 92 and 95 on his science tests.
To find:
The score that he needs to earn to have an average of 93%?
Solution:
Let the score in next science test = [tex]x[/tex]
Formula for Average/Arithmetic Mean is given as:
[tex]Average = \dfrac{\text{Sum of all observations}}{\text{Total number of observations}}[/tex]
Here we have 4 number of total observations and average is 93%.
Now, put all the values here:
[tex]93 = \dfrac{85 +92+ 95+x}{4}\\\Rightarrow 93\times 4=85 +92+ 95+x\\\Rightarrow 372=272+x\\\Rightarrow x = 372-272\\\Rightarrow x = 100[/tex]
So, Justin needs to score 100 to have an average of 93%.
Simplify (4x+5y) (2x-3y) + 3xy
Answers
Answer:
the answer is 8x^2+xy-15y^2
Graph the first six terms of a sequence where a1 = 3 and d = −10.
Answers
Answer:
Step-by-step explanation:
nth term = (n-1)th term + common difference
d = -10
a₁ = 3
a₂ = a₁ + d = 3 + (-10) = -7
a₃ = a₂ + d = -7 + (-10) = -17
a₄ = a₃ + d = -17 + (-10) = -27
a₅ =a₄ + d = -27 + (-10) = -37
a₆ = a₅ + d = -37 + (-10) = -47
First six terms: 3 , -7 , -17, -27, -37 , -47
Help pls!!! The diagram shows a 12 cm * 3 cm * 4 cm cuboid. Find angle GEC. Give your answer to 1 decimal place.
Answers
Answer:
m<GEC = 17.9 deg
Step-by-step explanation:
First, use the Pythagorean theorem to find the length of GE.
(GE)^2 = (E?)^2 + (?G)^2
I am using ? in place of the front right corner point name that is not visible.
(GE)^2 = 12^2 + 3^2
GE = 12.3693
In triangle EGC, for angle GEC, GE is the adjacent leg, and GC is the opposite leg. We use the tangent.
tan GEC = opp/adj
tan GEC = GC/GE
tan GEC = 4/12.3693
tan GEC = 0.32338
Use inverse tangent to find the angle.
m<GEC = 17.9 deg
The angle ∠GEC of a cuboid will be:
"17.9°"
Pythagoras TheoremAccording to the question,
Three dimensions,
AC = 4 cm
EH = 12 cm
GH = 3 cm
By using Pythagoras theorem,
→ (GE)² = (EH)² + (GH)²
By substituting the values,
= (12)² + (3)²
= 144 + 9
= 153
GE = √153
= 12.3693
Now, In ΔEGC
here, Adjacent leg = GE
Opposite leg = GC
→ tan GEC = [tex]\frac{Opposite}{Adjacent}[/tex]
= [tex]\frac{GC}{GE}[/tex]
= [tex]\frac{4}{12.3693}[/tex]
= 0.32338
Hence, by using inversing tangent
m∠GEC = 17.9°
Thus the above answer is correct.
Find out more information about Pythagoras theorem here:
https://brainly.com/question/24417148
use the grouping method to factor this polynomial.
Answers
Answer:
C
Step-by-step explanation:
Given
x³ + 3x² + 3x + 9 ( factor first/second and third/fourth terms )
= x²(x + 3) + 3(x + 3) ← factor out (x + 3) from each term
= (x² + 3)(x + 3) → C
-7(2k-3)=-35 fill in the empty spaces __ k +21=-35 __ k=__ k=__ ANSWERS -14 1 -56 21 7 -7 6 -14 4 24 -1
Answers
Answer:
k = 4
Step-by-step explanation:
Step 1: Distribute
-14k + 21 = -35
Step 2: Subtract 21 on both sides
-14k = -56
Step 3: Divide both sides by -14
k = 4
Answer:
-14, -14, -56, 4.
Step-by-step explanation:
-7(2k-3)=-35
-14k + 21 = -35
-14k = -56
k = 4
So, your answers should be -14, -14, -56, 4.
Hope this helps!
The domain and range of all linear functions, with the exception of vertical and horizontal lines, is
Answers
Answer:
All real numbers
Step-by-step explanation:
Linear functions have a domain and range of all real numbers because they reach from -∞ to ∞ on the x-axis and y-axis.
An example is given below. The domain and range of the function are all real numbers.
Identify the equation which has no solution. 3x - 21 = 3(x + 7) 3x - 21 = 3(x - 7) 3x - 21 = x - 7 All of the choices
Answers
Answer:
3x - 21 = 3(x + 7).
Step-by-step explanation:
3x - 21 = 3(x + 7)
3x - 21 = 3x + 21
3x - 3x = 21 + 21
0 = 42
Since the two are not equal, this equation has no solution.
3x - 21 = 3(x - 7)
3x - 21 = 3x - 21
3x - 3x = -21 + 21
0 = 0
Since the two are equal, this equation has infinitely many solutions.
3x - 21 = x - 7
2x = 14
x = 7
This equation has one solution.
Since there is only one choice that makes sense, the answer won't be all of the choices.
The answer is A. 3x - 21 = 3(x + 7).
Hope this helps!
What is 98% of £7
Please help ASAP
Answers
Answer:
£6.86
Step-by-step explanation:
10%=0.7
0.75*98=6.86
Answer:
£6.86
Step-by-step explanation:
98% × 7
0.98 × 7
= 6.86
98% of £7 is £6.86.
Please help. I need the answers to these. I don't get Trigonometry at all.
Answers
Answer:
below
Step-by-step explanation:
sin 24° =0.4 cos 45° =[tex]\frac{\sqrt{2} }{2}[/tex] tan 88° = 28.63Answer:
1) -.91
2) .53
3) .04
Step-by-step explanation:
[tex]sin(24)[/tex] = -.905578362
-.91 rounded to the nearest hundredth
[tex]cos(45)[/tex] = .5253219888
.53 rounded to the nearest hundredth
[tex]tan(88)[/tex]= .0354205013
.04 rounded to the nearest hundredth
The probability that Stu buys a sandwich is 0.5. The probability that Stu gets the bus is 0.7. Assuming the events are independent, what is the probability that Stu buys a sandwich and gets the bus?
Answers
Answer: 0.35
Step-by-step explanation:
First there is a 50% chance, or a 0.5 chance that Stu gets a sandwich. Then, ignoring the other .5, there is a .7 chance that he makes the bus. Thus, 1/2 of .7 is 0.35.
Hope it helps <3
can some body help me plz
Answers
Answer:
Each side length of the square is [tex]8cm^{2}[/tex]
Step-by-step explanation:
We know that a square has 4 Equal sides.
To find the area of a triangle, you will have to use the formula [tex]A=\frac{1}{2} (bh )[/tex]
Then, you will substitute with 4 and 16.
[tex]A=\frac{1}{2} (4x16)[/tex] (x=times)
Then, simplify.
[tex]A=\frac{1}{2} (64)[/tex]
Then, simplify again :)
[tex]A=32cm^{2}[/tex]
Now, we know that the area of a triangle is [tex]32cm^{2}[/tex]. It tells us that the area of a square is double that.
So, we divide [tex]32[/tex] by [tex]4[/tex], since a square has 4 sides.
[tex]\frac{32}{4} = 8cm^{2}[/tex]
Hence, one side length of a square is [tex]8cm^{2}[/tex].
Hope that helps:D
-Jazz
Answer:
8cm
Step-by-step explanation:
First find the area of the the triangle:
4*16=64 64/2=32
The square is twice the area of the triangle:
32*2=64
A square has two lengths that are the same so that means two same numbers multiplied by each other would be 64
That number would be 8
3 Sarah left home at 10:00 and cycled north in
a straight line. The diagram shows a
displacement-time graph for her journey.
a Work out Sarah's velocity between 10:00 and 11:00.
On her return journey, Sarah continued past her
home for 3 km before returning.
b Estimate the time that Sarah passed her home.
c Work out Sarah's velocity for each of the last two
stages of her journey.
d Calculate Sarah’s average speed for her entire journey.
Answers
Answer:
a) From 10 to 11, Sarah rode 12 km in one hour. That means her velocity was 12 km/hr.
b) Sarah passed by her home at 12:45.
c) From 12 to 13, Sarah rode 15 km. Thus, her velocity was 15 km/hr. From 13 to 14 she rode 3 km. Thus, her velocity was 3 km/hr.
d) Her average velocity was 12+0+15+3/4, or 30/4 which is 7.5 km/hr.
Sort each function into the correct category
f(x) = 0.45-1
Linear Functions
Quadratic Functions
Exponential Functions
f(x) = 5
f(x) = 4,5x + 1.8
f(x) = 19x2
f(x) = x2 - 3x + 4
Fx) = 2x - 6
Answers
Answer:
^ DONT LISTEN TO HIM
Step-by-step explanation:
linear - 4.5x + 1.8 and 2x - 6
quadratic - 19x^2 and x^2 - 3x + 4
exponential - 5^x and 0.45^x-1
ur welcome if ur using edge
brainliest plus 20 points!
If events A and B are non-overlapping events, how do you find the probability that one or the other occurs?
Answers
The probability of two non-overlapping events A or B happening is:
p(A or B) = p(A) + p(B)
if you add an image of the question you are trying to answer, I can explain it better.
Answer:
If events A and B are non-overlapping events.
P(A or B) = P(A) + P(B)
To find the probability that one or the other occurs, you add the probability of both events occurring together.
A college reported that 40% of its population is male. Nine students are selected at random The mean is Answer .The standard deviation is . (Round to the nearest hundredth, if necessary.) The shape of the distribution is
Answers
Answer:
Step-by-step explanation:
This is a binomial distribution because there are only two possible outcomes. It is either a randomly selected student is a male or a female. In this scenario, the probability of success, p is that a randomly selected student is a male and it is the same for any given number of trials. Therefore,
p = 40/100 = 0.4
The probability of failure, q would be that a randomly selected student is a female.
q = 1 - p = 1 - 0.4 = 0.6
Number of trials, n = 9
Therefore,
Mean = np = 9 × 0.4 = 3.6
Standard deviation = √npq = √9 × 0.4 × 0.6 = 1.47
The shape of the distribution is asymmetric.