Answer:
(-1, 2.5) is correct
Step-by-step explanation:
Given
Let A(1, 1)
Let B(1, 4)
Let C(-3, 4)
Let coordinates of the circumcenter is (x, y)
Using distance formula put the y value in this equation
So the coordinates of the circumcenter is (1, 2.5)
Step-by-step explanation:
Sorry it's so long.
Find the new amount given the original amount and the percent of change.
$7; 10% increase
The new amount is
Step-by-step explanation: 7 x 110% = 7 x 1.1 = 7.7
Part A: Find the LCM of 7 and 8. Show your work. (3 points)
Part B: Find the GCF of 54 and 81. Show your work. (3 points)
Part C: Using the GCF you found in Part B, rewrite 54 + 81 as an expression of two factors. One factor is the GCF and the other is the sum of two numbers that do not have a common factor. Show and explain your work.
Answer:
Part A:
LCM of 7 and 8 is 56.
7*8 = 56
-------------------------------------
Part B:
GCF of 54 and 81 is 27.
54: 1, 2, 3, 6, 9, 18, 27, 54.
81: 1, 3, 9, 27, 81.
-------------------------------------
Part C:
GCF of 54 and 81 is 27.
54 / 27 = 2
81 / 27 = 3
Final expression: 27(2 + 3)
Answer:
Part A: 56
Work:
7: 7, 14, 21, 28, 35, 42, 49, 56
8: 8, 16, 24, 32, 40, 48, 56, 64
Part B: 27
Work:
54: 54, 27, 9, 3, 1
81: 81, 27, 9, 3, 1
Part C: 27(2+3)
Work:
27×2 = 54
27×3 = 81
(27×2)+(27×3) = 54+81
(27×2)+(27×3)=27(2+3)
Explaining work:
First you find the numbers that multiply the GCF by to get the product (for 54 it is 2 and for 81 it is 3). Then you replace the the products with the equations (27×2) for 54 and (27×3) for 81 to get (27×2)+(27×3). Then simplify to get 27(2+3).
Find the coordinates of the points D (4,-4) and E (5,-5) after the transformation (x,y) →
(x+ 3. y -5)
D = (7, -9)
E = (8, -10)
hope this helps!
The polynomial x3 4x2 â€"" 9x â€"" 36 has 4 terms. Use factoring by grouping to find the correct factorization. (x2 9)(x 4) (x2 â€"" 9)(x â€"" 4) (x2 9)(x â€"" 4) (x2 â€"" 9)(x 4).
The factorization of the expression by grouping is [tex]P(x) = (x - 3)(x + 3)(x +4)[/tex]
The polynomial function is given as:
[tex]P(x) = x^3 + 4x^2 - 9x - 36[/tex]
Factorize the given expression.
[tex]P(x) = x^2(x + 4) - 9(x +4)[/tex]
Factor out x + 4
[tex]P(x) = (x^2 - 9)(x +4)[/tex]
Express 9 as the square of 3
[tex]P(x) = (x^2 - 3^2)(x +4)[/tex]
Apply the difference of two squares
[tex]P(x) = (x - 3)(x + 3)(x +4)[/tex]
Hence, the factorization of the expression by grouping is [tex]P(x) = (x - 3)(x + 3)(x +4)[/tex]
Read more about factorization at:
https://brainly.com/question/11434122
Joe was in charge of lights for a dance. The red light blinks every two seconds, the yellow light every three seconds, and the blue light every five seconds. If we include the very beginning and very end of the dance, how many times during a seven minute dance will all the lights come on at the same time
Answer:
We consider:
T1 = 2s
T2 = 3s
T3 = 5s
We calculate the least common multiple of the Ts:
Ttot = 30 s.
During a seven minute dance the lights will come on at the same time:
7*60 s / 30 = 14 times.
In a span of 7 minutes, the lights will blink together 14 times.
What is LCM?LCM of two or more than two given numbers is the smallest common multiple that is divisible by two or more than two given numbers.
Given, Joe was in charge of lights for a dance.
The red light blinks every two seconds, the yellow light every three seconds, and the blue light every five seconds.
∴ LCM of 2, 3, and 5 is 30 so the lights blink together after every 30 seconds.
So, in 7 minutes or (7×60) = 420 seconds the lights will blink together
(420/30) = (42/3) = 14 times.
Learn more about LCM here :
https://brainly.com/question/20739723
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Elisa and Teresa are comparing weights. If Elisa weights 52 1⁄4 kilograms
and Teresa weighs 49 4/9 kilograms, what is the difference in their
weights?
Answer:
[tex]52\frac{1}{4\\}[/tex] - [tex]49\frac{4}{9}[/tex] = [tex]\frac{101}{36}[/tex]
Step-by-step explanation:
First, we have to convert the mixed fractions to improper fractions
[tex]52\frac{1}{4\\}[/tex] = [tex]\frac{4 x 52 +1}{4}[/tex] = [tex]\frac{209}{4}[/tex]
[tex]49\frac{4}{9}[/tex] = [tex]\frac{9 x 49 + 4}{9}[/tex] = [tex]\frac{445}{9}[/tex]
[tex]\frac{209}{4}[/tex] - [tex]\frac{445}{9}[/tex] = [tex]\frac{1881}{36}[/tex] - [tex]\frac{1780}{36}[/tex] = [tex]\frac{101}{36}[/tex]
We cannot simplify [tex]\frac{101}{36}[/tex] so it is the final answer
Which THREE sets of angles can be used to construct triangles? A) 50°, 65°, 65° B) 45°, 50°, 85° C) 20°, 60°, 100° D) 30°, 60°, 70° E) 20°, 45°, 120°
Answer:
A) 50°, 65°, 65°
B) 45°, 50°, 85°
C) 20°, 60°, 100°
Step-by-step explanation:
To see if the angles can be used to construct triangles, you have to check if the degrees add up to 180 (Since the degrees in a triangle always have to add up to 180 degrees).
A) 50° + 65° + 65° = 180° (Good!)
B) 45° + 50° + 85° = 180° (Good!)
C) 20° + 60° + 100° = 180° (Good!)
D) 30° + 60° + 70° = 160° (Bad!)
E) 20° + 45° + 120° = 185° (Bad!)
Need help with this one
the school parking lot has a surface area of 841 square meters and is square in shape calculate the length of one side of the parking lot
Answer: 29 ft
Step-by-step explanation:
Says parking lot is a square.
Square root of 841 is 29
One-third of a number b times -2 is less than or equal to -11/6
Answer:
Step-by-step explanation:
Ignore the 0,0 at the top of the paper but that should be the equation.
slope=5, y-intercetp=3
Answer:
y=−5x+3. Explanation: The y-intercept on a straight line graph is always the constant. In that the constant is the value of c
Step-by-step explanation:
Determine whether the following pairs of lines are parallel, perpendicular, or neither. y=1/3x+4 3x+y=2
Answer:
parallel
Step-by-step explanation:
Answer:
The lines are perpendicular
Step-by-step explanation:
Y=1/3x+4
Y=-3x+2
The negative reciprocal of -3 is 1/3
i needhelp quick will give brainlist
Answer:
B. y=0.07x
Step-by-step explanation:
Hope this helps! Have a good day:)
Mr. Jones spent $156 to attend a college football game.
- Twenty percent of this cost was for a parking pass.
- He spent the remainder of the money on two tickets for the game.
What was the price per ticket?
Answer: $62.40
Step-by-step explanation:
what is 20% of 156 ? 31.20
what is 156 - 31.2 ? 124.80
what is 124.8 / 2 ? 62.40
each ticket cost 62.40 dollars
Forty three fence posts are placed one yard apart. How many yards of fence is this?
Answer:
86
Step-by-step explanation:
43 x 2=86
Which table could be a partial set of values for a linear function?
Answer:
I think it might be the bottom right one but not sure
Please answer 1 and 2
Will mark brainliest!!!!
Answer:
parallelnot perpendicularStep-by-step explanation:
1) It appears that coordinates of points on line P are (-6, 6) and (-2, 8). The slope formula tells us the slope of line P is ...
m = (y2 -y1)/(x2 -x1) = (8 -6)/(-2 -(-6)) = 2/4 = 1/2
Coordinates on line O appear to be (0, 6) and (4, 8). Its slope is ...
m = (8 -6)/(4 -0) = 2/4 = 1/2
The slopes of lines P and O are the same, so the lines are parallel.
__
2) It appears that points on line M are (0, 6) and (2, 2). Its slope is ...
m = (2 -6)/(2 -0) = -4/2 = -2
Points on line K appear to be (0, 4) and (10, 10). Its slope is ...
m = (10 -4)/(10 -0) = 6/10 = 3/5
If lines M and K were perpendicular, the product of their slopes would be -1. Here, it is (-2)(3/5) = -6/5 ≠ -1. Lines M and K are not perpendicular.
math #lollololollollol
Answer:
the answer is 2
Step-by-step explanation:
-4.67 + (5.24 –
) – (
+ 7.98) = 13.26
Answer:
6
Step-by-step explanation:
Sean is travelling. He has a flight of 2 hours 30 minutes, a stopover of 45 minutes and then another flight of 4.75 hours. What is his total travel time? Give your answer in hours and minutes.
Answer:
52 hours and 25 min
Step-by-step explanation:
2 1/2+45+4.75= 52.25
There is 1 man and 9 women running a race. What is the ratio of the number of female runners to the total number of runners?
Write your answer as a fraction. Use a slash ( / ) to separate the numerator and denominator.
Answer:
9/1
Step-by-step explanation:
For every 9 women, there is 1 man
how many students are in the year group?
Answer:
372
Step-by-step explanation:
How many students attended school in recent years? In fall 2020, about 48.1 million students attended public schools in kindergarten to grade 12, ...
Missing: group | Must include: group
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Y = x^2 -3
y = (x-3)(x+3)
For x-intercepts, y = 0
Therefore (x-3)(x+3) = 0
x intercepts are (3,0) and (-3,0)
The line of symmetry is x = 3+(-3) = 0
Vertex is on the line of symmetry
When x = 0, y = -1
Vertex = (0,-1)
Answer:
The answer is equal to 0
Step-by-step explanation:
Explanation in the picture.
triplicate ratio of 2:1 is
Answer:
8/27
Step-by-step explanation:
The triplicate ratio of 2:3 is 2^3/3^3 = 8/27
HAVE A GREAT DAY!
The sum of half of a number and 49is 2 whole 1/4 of the number. find the number
Answer:
-93.5
Step-by-step explanation:
let the number be y
1/2 × y + 49 =2 1/4
y/2 +49 =9/4
y/2 =9/4-49
y/2 = 9-196/4
y/2 = -187/4
cross multiply
4y = -374
y = -93.5
Answer:
28Step-by-step explanation:
Let the number is x
Half of a number = (1/2) x2 whole 1/4 of the number = (2 1/4) x = (9/4) xThe sum:
(1/2) x + 49 = (9/4) x(9/4)x - (1/2)x = 49(9/4 - 1/2)x = 49(7/4)x = 49x = 49 : 7/4x = 49 * 4/7x = 7 * 4x = 28Question 1
On page 179 of your textbook, what percent of group A are Blue squares? What percent of group B are Blue squares? What percent of group C are Blue squares?
The Percent of Blue sqaures out of the total for Group A is _ %.
The Percent of Blue sqaures out of the total for Group B is _ %.
The Percent of Blue sqaures out of the total for Group C is _ %.
Answer:
The Percent of Blue sqaures out of the total for Group A is 75%.
The Percent of Blue sqaures out of the total for Group B is 60%.
The Percent of Blue sqaures out of the total for Group C is 66.66666%.
At Hunter's Arcade, 2/3 of the games are racing games. Among the racing games, 3/5 are motorcycle-racing games. What fraction of the games at Hunter's Arcade are motorcycle-racing games?
Tamir bought 2 1/2 pounds of fish at $5.50 per pound, and two bananas at the price shown
Answer:
8.50
Step-by-step
what are the zeros of the function of y=x^2-3x+2
Answer:
1 and 2
Step-by-step explanation:
Zeros of the function is where the function intersect with x-axis (or in other way the zeros of function is x value when y = 0 )
y=x^2-3x+2
(we substitute y with zero)
0 = x^2-3x+2
or in other way
x^2-3x+2 = 0
Then we factor out the function by using the grouping method
(When we should give two numbers that there sum is equal -3 and if we multiply them we get 2)
and these two numbers are -2 and -1
x^2-3x+2 = 0
*Substitute the middle term with -x-2x
x^2-x-2x+2 = 0
*factor out x , then factor out -2
x(x-1)-2(x-1) = 0
*factor out x-2
(x-2)(x-1)=0
Either
x-2 = 0
So
x = 2
Or
x-1 = 0
So
x = 1
in conclusion the zeros of this function is 1,2
Giải phương trình: 2x + x + 12 =0
Answer:
x = - 4
Step-by-step explanation:
Or 3x +12=0