Answer:
the smallest possible perimeter is 6
Step-by-step explanation:
since the smallest possible prime number is 2 it would make since if each side is 2 which makes the smallest perimeter possible. i really hope this helped :)
Answer:
6
Step-by-step explanation:
the smallest possible number will be 2.
2 inches/centimeters of each 3 sides of the triangle
Point A is at (6,-6) and point C is at (-6,-2). Find the coordinates of point B on line AC such that AB= 3/4 AC Urgent, need this immediately. PLS EXPLAIN
Answer:
[tex]B(x,y) = (-3,0)[/tex]
Step-by-step explanation:
Given
[tex]A = (6,-6)[/tex]
[tex]C = (-6,2)[/tex]
[tex]AB = \frac{3}{4} AC[/tex]
Required
Find coordinates of B
First, we need to convert [tex]AB = \frac{3}{4} AC[/tex] to ratio [tex]AB:BC[/tex]
SInce [tex]AB = \frac{3}{4} AC[/tex], then
[tex]AB : BC = 3 : 4 - 3[/tex]
[tex]AB : BC = 3 : 1[/tex]
The coordinates of B can then be calculated as follows;
[tex]B(x,y) = (\frac{nx_1 + mx_2}{n + m},\frac{ny_1 + my_2}{n + m})[/tex]
Where
[tex]A(x_1,y_1) = A(6,-6)[/tex]
[tex]C(x_2,y_2) = A(-6,2)[/tex]
[tex]m:n = 3 : 1[/tex]
Substitute these values in the given formula;
[tex]B(x,y) = (\frac{1 * 6 + 3 * -6}{1 + 3},\frac{1 * -6 + 3 * 2}{1 + 3})[/tex]
[tex]B(x,y) = (\frac{6 -18}{4},\frac{-6 + 6}{4})[/tex]
[tex]B(x,y) = (\frac{-12}{4},\frac{0}{4})[/tex]
[tex]B(x,y) = (-3,0)[/tex]
Hence, the coordinates of B is [tex](-3,0)[/tex]
Multiply.
(2x2 – 3x)(3x2 + 2x - 1)
A. 5x4 - 5x2 - 7x2 – 3x
B. 6x4 + 5x3 - 8x2 + 3x
C. 6x4 - 5x3 - 8x2 – 3x
D. 64 - 5x3 – 8x2 + 3x
Answer:
correct answer is D
Step-by-step explanation:
Which of the following best describes ABC?
A. Obtuse angle
B. Inscribed angle
C. Central angle
D. Vertical angle
The angle ABC is best described as inscribed angle.
What is Chord of a Circle?Chord of a circle is defined as the line segment that is formed by joining two points which are on the circle.
Diameter is the largest chord.
Given is a circle.
There are two chords which are defined on the circle as AB and BC.
The angle between the two chords is marked as 44°.
Obtuse angle is the angle which is greater than 90°.
Central angle is the angle formed at the center of the circle.
Vertical angle is formed vertically to another angle.
Inscribed angles are those which are formed inside the circle when two chords intersect on the circle.
So ∠ABC is an inscribed angle.
Hence the angle ABC is an inscribed angle.
Learn more about Inscribed Angles here :
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#SPJ7
Which expression is equivalent to ....
Answer:
Its the first answer 24
At a concession stand,three hot dog(s) and two hamburger(s) cost $8.25;two hot dog(s) and three hamburger(s) cost $8.00. Find the cost of one hot dog and the cost of one hamburger. What is the cost of one hot dog? $_____
Answer:
The cost of one hot dog and the cost of one hamburger is $3.25
The cost of one hot dog is $1.75
Step-by-step explanation:
Let the number of hot dogs be represented by d and hamburgers be h
3d + 2h = 8.25 ----- eqn(I)
2d + 3h = 8.00 ----- eqn(II)
From eqn(I): d = (8.25 - 2h)/3
substitute the expression for d into eqn(II)
2d + 3h = 8
2(8.25 - 2h)/3 + 3h = 8
(16.50 - 4h) + 3h(3) = 8(3)
16.50 - 4h + 9h = 24
5h = 24 - 16.50
5h = 7.50
h = 7.50/5 = 1.50
One hamburger costs $1.50
d = (8.25 - 2h)/3 = (8.25 - 2×1.50)/3 = (8.25 - 3.00)/3 = 5.25/3 = 1.75
One hot dog costs $1.75
Cost of one hot dog and cost of one hamburger = $1.75 + $1.50 = $3.25
What is the product?
(4x+2)(5x^2+10x+3)
Answer:
20x³ + 50x² + 32x + 6Step-by-step explanation:
[tex](4x + 2)(5 {x}^{2} + 10x + 3)[/tex]
Multiply the second parentheses by each term from the first parentheses
[tex]4x( {5x}^{2} + 10 x + 3) + 2(5 {x}^{2} + 10x + 3) [/tex]
Distribute 4x through the parentheses
[tex]20 {x}^{3} + 40 {x}^{2} + 12x + 2(5 {x}^{2} + 10x + 3)[/tex]
Distribute 2 through the parentheses
[tex]20 {x}^{3} + 40 {x}^{2} + 12x + 10 {x}^{2} + 20x + 6[/tex]
Collect like terms
[tex]20 {x}^{3} + 50 {x}^{2} + 32x + 6[/tex]
Hope this helps...
Best regards!!
Make a 3-by-3 logic grid on your own paper. Use it to help you solve the logic
puzzle and answer the question given below.
Tina, Jewel, and Amy have three different pets (dog, goldfish, and ferret).
• Tina is allergic to dogs.
• Jewel does not have the ferret.
• The dog belongs to Amy.
Who owns the ferret?
Answer:
Tina
Step-by-step explanation:
Since Amy owns the dog, she doesn't have the ferret and we know that Jewel doesn't have the ferret so the answer is Tina.
0m0 Hello and bye also good evening
Answer:
15/32
Step-by-step explanation:
5/8 ÷ 1 1/3
Change to an improper fraction
5/8 ÷ ( 3*1+1)/3
5/8 ÷ 4/3
Copy dot flip
5/8 * 3/4
15/32
The low temperature in degrees Fahrenheit for 5 days was – 5, – 7, – 2, 2, and – 3. What was the average low temperature for those days? (Please explain it in detail)
Answer:
-3
Step-by-step explanation:
To find the average of different numbers, first you add them all up. So -5+-7+-2+2+-3+=-15. Then, you divide the sum of all the numbers by the amount of numbers there were. So in this case, there were 5 numbers so we would divide the sum of all of them by 5. So now we do -15/5=-3.
Another example of finding the average of numbers is 15+4+10+9+3+1. So first we add them up and we get 42, then again, we divide by the amount of numbers there are. So we do 40/6 and we get 7, so the average is 7.
I hope this helped.
What is the domain of this function graphed above?
Answer:
domain: x cant be equal to 3.75
Step-by-step explanation:
I don't know if the problem is in my calculations or the question itself, but the result I got is irrational.
Anyway, here are my calculations. If the help you somehow to solve the question - great!
If not,srry to disappoint you
from least to greatest -9, 12/20, 1/5
Answer:
-9, 1/5, 12/20
Step-by-step explanation:
-9 is negative so it will always be the least. It helps to turn the fractions into decimals. To do this, you can just divide 1 by 5 and 12 by 20.
1/5 = .2
12/20 = .6
So, 1/5 is less than 12/20.
This makes the order -9, 1/5, 12/20.
Answer:
-9, 1/5 12/20
Step-by-step explanation:
Use 0 as a border.
All numbers less than 0 on one side the rest on the other.
You will have -9 on less than zero and 1/5, 12/20 on the other side.
So -9 is the least.
Now you have 1/5, and 12/20.
Make the denominators equal.
1/5 x 4/4= 4/20, 12/20 x 1/1 = 12/20
Compare the Numerators.
4 is less than 12.
So the answer is -9, 1/5, 12/20.
Feel free to ask questions.
help me plzzzz i need help
Answer:
What's the question?
Step-by-step explanation:
A plane is heading in a direction of 045 degress and changes course in a clockwise direction to 135 degrees. The angle though which the plane turn is?
Answer: 90 degrees clockwise
Subtract the angles to get the answer
135 - 045 = 90
In terms of compass bearings, 045 degrees is directly pointed at northeast while 135 degrees is pointed directly at southeast. We have 0 degrees pointed straight north.
Identify an equation in point-slope form for the line perpendicular to
y=-2x + 8 that passes through (-3,9).
O A. y - 9 =-2(x+3)
O B. y+3 (x-9)
O C. y-9 - (x+3)
O D. y + 9 = 2(x-3)
Answer:
[tex]y - 9 = \frac{1}{2}(x +3)[/tex]
Step-by-step explanation:
Given
Function; [tex]y = -2x + 8[/tex]
Required
Find an equation perpendicular to the given function if it passes through (-3,9)
First, we need to determine the slope of: [tex]y = -2x + 8[/tex]
The slope intercept of an equation is in form;
[tex]y = mx + b[/tex]
Where m represent the slope
Comparing [tex]y = m_1x + b[/tex] to [tex]y = -2x + 8[/tex];
We'll have that
[tex]m_1 = -2[/tex]
Going from there; we need to calculate the slope of the parallel line
The condition for parallel line is;
[tex]m_1 * m_2 = -1[/tex]
Substitute [tex]m_1 = -2[/tex]
[tex](-2) * m_2 = -1[/tex]
Divide both sides by -2
[tex]m_2 =\frac{ -1}{-2}[/tex]
[tex]m_2 =\frac{1}{2}[/tex]
The point slope form of a line is;
[tex]y - y_1 = m_2(x - x_1)[/tex]
Where [tex](x_1,y_1) = (-3,9)[/tex] and [tex]m_2 =\frac{1}{2}[/tex]
[tex]y - y_1 = m_2(x - x_1)[/tex]becomes
[tex]y - 9 = \frac{1}{2}(x - (-3))[/tex]
Open the inner bracket
[tex]y - 9 = \frac{1}{2}(x +3)[/tex]
Hence, the point slope form of the perpendicular line is:
[tex]y - 9 = \frac{1}{2}(x +3)[/tex]
which expression is equivalent to (16 x 8 y - 12) 1 / 2
Answer: I don't really know exactly what you are asking for but does this help? 8x4y-6
Step-by-step explanation:
Distribute the 1/2 to each of the factors. If you need me to explain further please let me know :)
Answer: 8x⁸y - 6
Step-by-step explanation:
[tex](16x^8y - 12) \times \bigg(\dfrac{1}{2}\bigg)\\\\\\=\dfrac{16x^8y}{2}-\dfrac{12}{2}\\\\\\=8x^8y-6[/tex]
The line L is shown on the grid. Find an equation for L. Give your answer in the form y=mx+c
Answer:
y=4x-5
Step-by-step explanation:
y=mx+b,
You can identify that the y-intercept is -5.
Using rise/run, there is a rise of +4 and a run of +1, 4/1=4.
Slope = 4
Y-intercept=-5
Slope-intercept form of equation of line is, y = mx + c
Equation of line L is, y = 5x - 5
From given figure, it is observed that line L is passing through point (0, -5) and (1, 0).
First we have to find slope (m) of line.
[tex]m=\frac{0-(-5)}{1-0} =5[/tex]
So, equation of line becomes,
[tex]y=5x+c[/tex]
Since, line passing through (1, 0). Therefore, substituting point (1, 0) in above equation of line.
We get, c = - 5
Thus, equation of line is, [tex]y=5x-5[/tex]
Learn more:
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Golden Corral charges $11 for a buffet plus $1 for each drink. Western Sizzlin charges $9 for a buffet plus $2 for each drink. Which restaurant has the best deal? (I made up these prices!!) Graph the system of equations. (Show your x/y tables) **Use a ruler or your answer will not come out correctly** or Slope- intercept simulation copy and paste
Answer:
[see below]
Step-by-step explanation:
Equation 1:Using 'd' as per drink, and 't' as the total cost:
Golden Corral charges 11 dollars for the buffet. ( + 11 )
They also charge 1 dollar for each drink This could be represented by ' 1d' or 'd'.
So, the Golden Corral deal can be represented by:
t = d + 11
Equation 2:The Western Sizzlin restaurants charge 9 dollars for a buffet. ( + 9 )
They also charge 2 dollars for the drinks. This is represented by '2d'.
The Western Sizzlin deal can be represented by:
t = 2d + 9
Graphing the equations together, Golden Corral's line is less steeper then Western Sizzlin's line.
Therefore, Golden Corral is cheaper and should be the best deal compared to Western Sizziln'.
What is the equation of the line that is parallel to y = negative two-thirds x + 4 and that passes through (–2,–2)? On a coordinate plane, a line goes through (3, 2), and (6, 0). A point is at (negative 2, negative 2). y = negative two-thirds x minus four-thirds y = negative two-thirds x minus StartFraction 10 Over 3 EndFraction y = negative two-thirds x minus two-thirds y = negative two-thirds x minus StartFraction 17 Over 4 EndFraction
Answer:
Option B.
Step-by-step explanation:
If equation of a line is y=mx+c, then m is the slope of line.
The given equation is
[tex]y=-\dfrac{2}{3}x+4[/tex]
Here, slope of line is [tex]m=-\dfrac{2}{3}[/tex].
We need to find the equation of line that is parallel to given equation and passes through (–2,–2).
We know that, slope of parallel lines are same. So, slope of required line is [tex]m=-\dfrac{2}{3}[/tex]. So, equation of line is
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-(-2)=-\dfrac{2}{3}(x-(-2))[/tex]
[tex]3(y+2)=-2(x+2)[/tex]
[tex]3y+6=-2x-4[/tex]
[tex]3y=-2x-4-6[/tex]
[tex]3y=-2x-10[/tex]
Divide both sides by 3.
[tex]y=\dfrac{-2x-10}{3}[/tex]
[tex]y=-\dfrac{2}{3}x-\dfrac{10}{3}[/tex]
Therefore, the correct option is B.
Answer:
B.) y = negative two-thirds x minus StartFraction 10 Over 3 EndFraction
Step-by-step explanation:
Select the correct answer.
Molly rewrote the equation as shown:
-50 + 11 =8-30
50 +11+30=8-30-30
Which property did she use to rewrite the equation?
[tex]\text{Molly used the addition property of equality}\\\\\text{In the equation shown in the question, you can see that Molly is trying}\\\text{to find the value of "d"}\\\\\text{In order to do this, she must get the "d" variable by itself}\\\\\text{To do this, she adds "3d" to both sides to get the "d" variable on one side}\\\\[/tex]
The sum of two numbers is 20 more than one of the numbers and 18 more than the other number. What are the two numbers?
Answer:
18 , 20Step-by-step explanation:
Let the numbers be x and y
Sum = x + y
Sum = one number + 20
[tex]x + y = x + 20[/tex]
Cancel equal terms on both sides of the equation.
[tex]y = 20[/tex]
Again,
Finding another number
Sum = other number + 18
[tex]x + y = y + 18[/tex]
Cancel equal terms on both sides of the equation
[tex]x = 18[/tex]
Hence, The two numbers are 18 and 20.
Hope this helps..
Best regards!
the population of weston is 4320. the towns records shot that 45% of the population are males, and 2/3 of these males are married. how many males in weston are married?
Answer:
1296 males
Step-by-step explanation:
Males in Weston: 4320*0.45 = 1944
Married Males in Weston: 1944*2/3 = 1296
Answer:
Answer is 1296 (For me if I add commas it would mark my answer wrong)
Step-by-step explanation:
What is 2^5 in standard notation
6x-15=6x+15 Please solve this equation! I will put the brainliest, if its right answer
Answer:
No solution.
Step-by-step explanation:
[tex]6x-15=6x+15\\\\6x-15-6x=6x+15-6x\\\\\boxed{-15\neq 15}[/tex]
There is no solution to the equation.
Given: Circle k (O), OA and OC -radii, AP and CP - tangents, m∠AOC=150° Find: m∠APC
Answer:
m∠APC = 30°
Step-by-step explanation:
To solve for the above question, we would be making use of circle theorems
Looking at the circle, we can see that
m∠APC is an Angle outside the circle
m∠AOC is a smaller arc in the circle.
Therefore, Circle Theorem states that for a circle with two tangents,
The Angle outside the circle + The smaller arc = 180°
Hence,
m∠AOC + m∠APC = 180°
m∠APC = 180° - m∠AOC
m∠APC = 180° - 150°
m∠APC = 30°
HELP QUICK!
If your player is Erik, write an expression that shows all of the ways that Erik will win if Nita chooses 7. If your player is Nita, write an expression that shows all of the ways that Nita will win if Erik chooses 17.
Answer:
Eric will win if Nita chooses 7 and he chooses and number that is less than 17 (ex. n<17).
Nita will win if Eric chooses 17 and she chooses a number less than 8 (ex. n<8).
60 is what percent of 90?
Answer:
[tex]\boxed{66.67\%}[/tex]
Step-by-step explanation:
[tex]\frac{60}{90}[/tex]
[tex]=\frac{2}{3}[/tex]
[tex]\approx 66.67\%[/tex]
60 is 66.67 percent of 90.
66,(6) %
Step-by-step explanation:90 ............... 100%
60 ....................X%
X = 60×100/90 = 600/9 = 66,(6) %
what is the gfc of h^4 and h^8
Answer:
23
Step-by-step explanation:
We can write h^8 as h^(4+4) = h^4*h^4. So buried inside h^8 are two copies of h^4 multiplied together
So both terms have a greatest common factor of h^4
If you had something like h^4 + h^8, then it would factor to h^4(1 + h^4)
Please help will mark brainliest
the bearing from Canada to Atlanta is 040 degrees. Calculate the bearing from Atlanta to Canada
Answer:
The bearing from Atlanta to Canada is 220 degrees
Step-by-step explanation:
Given
Represent Canada with C and Atlanta with A
Bearing from C to A = 040
Required
Determine the bearing from A to C
This concept is referred to as Back Bearing and it's calculated as follows.
Because the front bearing is less 180 (040, to be precise), we have to add it to 180 to get the back bearing;
Hence,
[tex]A\ to\ C\ =\ 180\ + C\ to\ A[/tex]
Substitute 040 for C to A
[tex]A\ to\ C\ =\ 180\ + 040[/tex]
[tex]A\ to\ C\ =\ 220[/tex]
Hence, the bearing from Atlanta to Canada is 220 degrees
HELPP!!! 10 POINTS The list shows the number of skateboarders that visited a skate park each day for two weeks. 23 14 20 45 32 36 12 9 14 32 41 33 18 44 Which histogram correctly represents the distribution of the data?
Answer: D
Step-by-step explanation:
It is the only graph with 3 on 40-49.
Hope it helps <3
HELP NEEDED NOW Measure the difference between the lower quartile of Data Set A and the lower quartile of Data Set B. Round to the nearest tenth when performing all operations.
Answer:
29
Step-by-step explanation:
The formula for lower quartile(Q1) = 1/4(n + 1)th term
Where n = number of terms.
For Data set A = 73, 75, 79, 81, 84, 85, 86, 86, 89, 91, 94, 95
n = 12
Q1 = 1/4 (n + 1) th term
Q1 = 1/4(12 + 1) th term
Q1 = 1/4(13) th term
Q1 = 3.25th term
The 3.25th term is data set A is between the 3rd and 4th term
3rd term = 79
4th term = 81
3.25th term = 79 + 81/2
= 160/2
= 80
For Data set B = 47, 49 , 51, 51, 55, 56, 57, 58, 59, 59, 61, 62
n = 12
Q1 = 1/4 (n + 1) th term
Q1 = 1/4(12 + 1) th term
Q1 = 1/4(13) th term
Q1 = 3.25th term
The 3.25th term is data set A is between the 3rd and 4th term
3rd term = 51
4th term = 51
3.25th term = 51 + 51/2
= 102/2
= 51
The difference between the lower quartile of Data Set A and Data Set B =
80 - 51 = 29