Answer:
2y
Step-by-step explanation:
To find the GCF ( Greatest Common factor), for an algebraic expression like the one given, all you have to do if look over the expression and circle all the terms they both share, in this case, both 4yz and 2y^2 had 2y in them, except in different forms.
If you find it difficult to recognize the similarities, divide the expressions as much as you can.
Hope this helps
Circle M has the central angle LAMB with a measure of 63º. Which of the following statements does not represent the
circle M?
O AB is a minor arc
O mAB=63
The center of the circle is point M.
O AB is a major arc
Answer:
O AB is a major arc
Step-by-step explanation:
Circle M has the central angle LAMB with a measure of 63º
Which of the following statements does not represent the circle M?
----------------
O AB is a minor arc
yes, it is 63º, less than halfO mAB=63 º
yesO The center of the circle is point M.
yesO AB is a major arc
no, it is not more than halfA line segment has endpoints at (4.-6) and (0,2).
What is the slope of the given line segment?
What is the midpoint of the given line segment?
What is the slope of the perpendicular bisector of the given line segment?
What is the equation, in slope-intercept form, of the perpendicular bisector?
Answer:
see explanation
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (4, - 6) and (x₂, y₂ ) = (0, 2)
m = [tex]\frac{2+6}{0-4}[/tex] = [tex]\frac{8}{-4}[/tex] = - 2
---------------------------------------
Find the midpoint using the midpoint formula
M =( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
= [tex]\frac{4+0}{2}[/tex] , [tex]\frac{-6+2}{2}[/tex] ) = (2, - 2 )
-----------------------------------------------
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]
----------------------------------------------
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = [tex]\frac{1}{2}[/tex] , thus
y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
To find c substitute (2, - 2) into the partial equation
- 2 = 1 + c ⇒ c = - 2 - 1 = - 3
y = [tex]\frac{1}{2}[/tex] x - 3 ← equation of perpendicular bisector
Answer:
-2(2, -2)1/2y= 1/2x - 3Step-by-step explanation:
Points given: (4, -6) and (0, 2)
Slope intercept form of the line going through the given pints:
y= mx+b
m= (y2-y1)/(x2-x1)= (2+6)/(0-4)= -2 slope is -2y= -2x+b ⇒ -6= -2*4+b ⇒ b= 8-6= 2 ⇒ y= -2x+2
Mid point= (x1+x2)/2, (y1+y2)/2= (4+0)/2, (-6+2)/2= (2, -2)The slope of the perpendicular bisector is the negative reciprocal of the line segment which it is dividing:
m'= -1/m= -1/-2= 1/2Equation of perpendicular bisector:
y= 1/2x+bIt passes through the mid point: (2, -2), so
b= y - 1/2x= -2 - 1/2*2= -2 -1= -3So the equation of perpendicular line:
y= 1/2x - 350a^3-18ab^2 guys plz factorise this for me
Answer:
2a(5a+3b)(5a−3b)
Step-by-step explanation:
Both terms have 2a, so take out the 2a and you will get your answer.
Answer:
2a(5a - 3b)(5a + 3b)
Step-by-step explanation:
50a³ - 18ab² = 2a(25a² - 9b²) = 2a(5a - 3b)(5a + 3b)
Find the square root of 529/729 .
Answer:
23/27
Step-by-step explanation:
The square root of 529 is 23
while the square root of 729 is 27
Answer:
23/27
Step-by-step explanation:
529=23^2
729=27^2
sqrt{529/729} =sqrt{[tex]23^{2}[/tex]/[tex]27^{2}[/tex]}
= 23/27
if a certain number x is doubled, the result is less than or equal to 12. find the range of values of the number
Answer:
2x≤12
2x/2 ≤12/2
x≤6
therefore x=6
x+x
6+6=12
Write and solve an equation to represent the following situation: an electrician earns an hourly wage of $13.50 plus a $75 bonus. If he made $149.25, how many hours, h, did he work?
What is the rate of change of the amount earned with respect to hours worked for this function?
hours per dollar
hours per dollar
3 dollars per hour
13 dollars per hour
Question:
The graph shows the amount of money Miguel earns after working x hours. What is the rate of change of the amount earned with respect to hours worked for this function? hours per dollar hours per dollar 3 dollars per hour 13 dollars per hour
Answer: 13 dollars per hour
Step-by-step explanation:
The rate of change (ROC) for the point defined on the graph can be deduced by calculating the ratio of the difference between the two coordinate points given, similar to calculating the gradient or slope :
Point a = (5, 65) = (x2, y2)
Point b = (2, 26) = (x1, y1)
Calculating the gradient or slope :
Rate of change = (y2 - y1) / (x2 - x1)
Rate of change = (65 - 26) / (5 - 2)
Rate of change = 39 / 3
= 13 dollars per hour
Answer:
I think that the answer is D
HELP ASAP PLEASE!!! A patient is to take 60 milligrams (mg) of an antibiotic on day 1, take 45 milligrams (mg) on day 2, take 30 milligrams (mg) on day 3 and take 15 milligrams (mg) on day 4. How many total milligrams (mg) will the patient take? (Show your work)
Answer:
150 mg
Step-by-step explanation:
This is an addition problem. Simply add the mg of the antibiotic that the patient takes each day.
So you would do:
60+45+30+15 = 150
Since you get a result of 150, 150 mg is the answer.
The addition is one of the four fundamental mathematical operations. The patient will take a total of 150 mg of antibiotics.
What is Addition?The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.
The total amount of antibiotics the patient will take is,
Total Antibiotic = 60mg + 45mg + 30mg + 15mg = 150 mg
Hence, the patient will take a total of 150 mg of antibiotics.
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Help me for brainliest...
The scale on a map is 1:320 000. What is the actual distance represented by 1 centimere? Give your answer in kilometres.
Answer:
1cm = 320 km?
Step-by-step explanation:
Answer:
[tex]3.2km[/tex]
Step-by-step explanation:
[tex]1 \: : 320000 \\ 1cm = 320000cm[/tex]
[tex]1cm = 100m \\ [/tex]
[tex]1cm = 320000cm \\ 1cm = 3200m[/tex]
[tex]1km \: \: = 1000m[/tex]
[tex]1cm = 3200m \\ 1cm = 3.2km[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
what is the midpoint of the segment shown below?
Answer:
(5, 1/2)
Step-by-step explanation:
To find the midpoint
Take the sum of the x coordinates and divide by 2
(5+5)/2 = 10/2 = 5
Take the sum of the y coordinates and divide by 2
(4+-3)/2 = 1/2 = 1/2
The midpoint is ( 5, 1/2)
It is answer D
Its is exactly in between these to values
Peter is making an "X marks the spot" flag for a treasure hunt. The flag is made of a square white flag with sides of 12 centimeters. He will make the "X" by stretching red ribbon diagonally from corner to corner.
How many centimeters of ribbon will Peter need to make the "X"?
Round your answer to the nearest centimeter.
Answer: 34 cm
Step-by-step explanation:
Hi, since the situation forms 2 right triangles (see attachment) we have to apply the Pythagorean Theorem (to one triangle)
c^2 = a^2 + b^2
Where c is the hypotenuse of the triangle (in this case the distance between corners) and a and b are the other sides.
Replacing with the values given:
c^2 = 12^2 + 12^2
c^2 =144+144
c^2 = 288
c = √288
c = 16.97 cm = 17 cm (rounded)
The other diagonal has the exact same lenght (because the flag is a square)
So, we have to multiply the length of the ribbon by 2:
17 x2 = 34 cm
Feel free to ask for more if needed or if you did not understand something.
Answer:
34
Step-by-step explanation:
I did it on Khan
•given ABCD is a kite, check every box that must be true
•use calculations and words to show this quadrilateral meets the definition of a kite
any help would be appreciated <3
Answer:
Step-by-step explanation:
A kite is a quadrilateral made up of two isosceles triangles. A kite does not have any parallel side, but has two pairs of equal adjacent sides. All four sides are not congruent, only two pairs of consecutive sides are congruent.
The vertices of a kite are right angles. The diagonals bisect each other at right angles ( that is they are perpendicular). Therefore the following are true:
1) two pairs of consecutive sides are congruent
2) The diagonals are perpendicular
3) The diagonals bisect each other.
Point A= (3,6), B = (5,0), C= (-2,-4) D = (-3,4)
[tex]AB=\sqrt{(0-6)^2+(5-3)^2}=\sqrt{40} \\AD=\sqrt{(4-2)^2+(-3-3)^2}=\sqrt{40}\\ BC=\sqrt{(-4-0)^2+(-2-5)^2}=\sqrt{65}\\ DC=\sqrt{(4-(-4)^2)+(-3-(-2))^2}=\sqrt{65}[/tex]
AB=AD, BC = BC.
This is a kite since two pairs of consecutive sides are congruent
ax+by=(a-b) , bx - ay =(a+b) simultaneous linear equations using cross multiplication
Answer:
[tex]x=1\,,\,y=-1[/tex]
Step-by-step explanation:
Given: [tex]ax+by=a-b\,,\,bx-ay=a+b[/tex]
To solve: the given linear equations
Solution:
Consider the equations:
[tex]A_1x+B_1y+C_1=0\\A_2x+B_2y+C_2=0[/tex]
By method of cross multiplication:
[tex]\frac{x}{B_1C_2-B_2C_1}=\frac{y}{C_1A_2-C_2A_1}=\frac{1}{A_1B_2-A_2B_1}[/tex]
For equations: [tex]ax+by=a-b\,,\,bx-ay=a+b[/tex]
[tex]ax+by-(a-b)=0\\bx-ay-(a+b)=0[/tex]
Take [tex]A_1=a\,,\,B_1=b\,,\,C_1=-(a-b)\,,\,A_2=b\,,\,B_2=-a\,,\,C_2=-(a+b)[/tex]
So,
[tex]\frac{x}{-b(a+b)-a(a-b)}=\frac{y}{-b(a-b)+a(a+b)}=\frac{1}{-a^2-b^2}\\\frac{x}{-ab-b^2-a^2+ab}=\frac{y}{-ab+b^2+a^2+ab}=\frac{1}{-(a^2+b^2)}\\\frac{x}{-(a^2+b^2)}=\frac{y}{a^2+b^2}=\frac{1}{-(a^2+b^2)}\\\frac{x}{-(a^2+b^2)}=\frac{1}{-(a^2+b^2)}\,,\,\frac{y}{a^2+b^2}=\frac{1}{-(a^2+b^2)}\\x=1\,,\,y=-1[/tex]
If 30% of a company's advertising budget is $7,200, then what is the full advertising budget?
Answer:
$24000
Step-by-step explanation:
Let the full advertising budget of the company be $x.
Therefore, 30% of x = $7,200
[tex]\frac{30}{100} \times x= 7200 \\\\x = \frac{100}{30} \times 7200\\\\x = 100 \times 240\\\\x = \$24000[/tex]
Hence, full advertising budget of the company is $24000.
This table shows the number of different sized pipes that have been used at Highfield Builders in January.
The pipes are grouped according to the size of their diameter.
January: Number of Pipes Used (by Grouped Size)
Diameter (cm)
35-39
40-44
45-49
50-54
55-59
Frequency
8
10
13
3
1
The manager thinks that the mean diameter of pipe used must be in the 45-49 cm group as this is the group
most used.
Is the manager correct?
Show your working out and write the answer in the box below.
(5 marks)
Answer:
No
Mean diameter = 44, which is in the 40 - 44 cm group
Step-by-step explanation:
Given the data:
Diameter (cm) - mid point(X) - frequency(F) - - FX
35-39 - - - - 37 - - - - 8 - - 296
40-44 - - - 42 - - - 10 - - - 420
45-49 - - - 47 - - - 13 - - - 611
50-54 - - - 52 - - - 3 - - - 156
55-59 - - - 57 - - - 1 - - - 57
Mean of grouped data:
Sum of (F × X) / sum of F
1540 / 35 = 44
The sticker price is the price you must pay for the vehicle
True or False
it's true...........
Answer:
False
Step-by-step explanation:
Verified correct with test results.
What is the 9th square number.
Jennifer bought 1 apple and 3 oranges for 5.10 and Linda bought 5 oranges and 1 apple for 7.50 what is the price of 1 apple and 1 orange
Answer:
$2.70
Step-by-step explanation
Jennifer and Linda both bought one apple, but they bought different numbers of oranges. Looking at the numbers, we see that Linda bought 2 more oranges than Jennifer (they bought the same number of apples, so disregard apples for now, we will look at them later).
Subtracting Jennifer's cost from Linda's cost, 7.50 - 5.10 = 2.40
So, we know that 2 oranges cost $2.40, so 1 orange will then cost $1.20.
Now we know the cost of 1 orange. So, we can find the price of an apple by finding the cost of 3 oranges. 3 x 1.20 = 3.60. So, Jennifer's 3 oranges cost 3.60, and subtract this cost from the total cost and we find that 1 apple costs $1.50.
Add the price of 1 apple and 1 orange. $1.50 + $1.20 = $2.70
Please help with this!!! My grade depends on it!!!
Answer:
52 degree
Step-by-step explanation:
So using cos again again :v
AC^2 = AB^2 +BC^2 - 2ABBCcosB
AC = 31.796cm
then
BC^2=AB^2 + AC^2 -2ABACcosA
Cos A = 0.61
A=52.17degree
Simplify (4^3)^5
A.(1/4)^15
B.4^15
C.12^5
D.4^8
Answer:
4^15
Step-by-step explanation:
(4^3)^5
We know a^b^c = a^(b*c)
(4^3)^5 = 4^(3*5) = 4^15
Answer:
[tex] {4}^{15} [/tex]
Answer B is correct
Step-by-step explanation:
[tex]( { {4}^{3} })^{5} \\ {4}^{3 \times 5} \\ = {4}^{15} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
La distancia en Km. De Santo Domingo a Puerto Plata está dada por la expresión D = 4x³- 10x² -6. ¿Cuál es la distancia aproximada de santo Dom. A Puerto Plata si X = 6 km?
Answer:
The distance when x = 6km is D = 498 KM
Step-by-step explanation:
Here, given the formula for the distance, we want to find the distance D given the value of x to be 6km
What we do simply here is to substitute the value 6km as x in the equation
The equation is
D = 4x^3 - 10x^2 -6
Substituting x = 6, we have
D = 4(6^3) -10(6^2) -6
D = 864-360-6
D = 498 km
The sum of the two numbers is 49 and the difference is 11. What are the numbers?
Answer:
30,19
Step-by-step explanation:
let the numbers be x and y,x>y
x+y=49
x-y=11
add
2x=60
x=60/2=30
30+y=49
y=49-30=19
Answer:
x = first number = 30 and y = second number = 19
Step-by-step explanation:
let the first number be x and second number be y.
According to the given information
The sum of the two numbers is 49
Here, we get the equation.
x + y = 49
Now, Similarly second given information
the difference is 11.
Here, we get the equation.
x - y = 11
Now,
Step 1:
Name the equations
x + y = 49 ...(1)
x - y = 11 ...(2)
Step 2:
Now,
From equation (1) we get,
x = 49 - y
Substitute the value of x = 49 - y in equation (2) we get,
x - y = 11
i.e.,
49 - y - y = 11
49 - 2y = 11
-2y + 49 = 11
2y - 49 = - 11
2y = 49 - 11
2y = 38
y = 38/2
y = 19
Step 3:
Now,
Put the value of y = 19 in equation (1), we get.
x + y = 49
i.e.,
x + 19 = 49
x = 49 - 19
x = 30
Thus, The value of x = first number = 30 and y = second number = 19
VERIFICATION:30 + 19 = 49
30 - 19 = 11
Juan examines the sequence 1, 3, 4, 7, 11, . . . and draws the conclusion that the next number in the sequence is 18. Which statements regarding the situation are accurate? Check all that apply.
Juan used inductive reasoning.
Juan's conclusion is a conjecture.
Juan's conclusion is not possible.
Juan's conclusion is a counterexample.
Juan based his conclusion on patterns.
Answer:
Juan conclusion is counterexample
Answer:
1, 2, and 5
Step-by-step explanation:
What is the range of the function shown in the graph?
Answer:
D. -∞ < y < 5
Step-by-step explanation:
The range are all the possible values for y that the function can take. In the graph we can see that the highest value for y is 5 and there isn't a lowest value for y. It means that the range are values between -∞ and 5.
So the range is:
-∞ < y < 5
What is the approximate area of the shaded sector in the circle shown below?
А. 4.68 in2
В. 17.3 in2
C. 34.6 in 2
D. 9.36 in2
Answer:
Area for sector = arc measure/360 degrees times pir^2
145 degrees/360 degrees times pi3.7^2 =
0.40277 times 13.69pi =
17.314in.^2 or B.
Plzz help!! Please explain.! Will choose BRAINLIEST!!!
Answer: 3
Step-by-step explanation:
A simple way to calculate the distance between numbers on a number line is to count every number between them. A faster way is to find the distance by taking the absolute value of the difference of those numbers. We have to find PQ. TAking the difference we have 94-91= 3.
Answer:
[tex]3[/tex]
Step-by-step explanation:
You can find the length by subtracting.
[tex]Q-P[/tex]
[tex]94-91[/tex]
[tex]=3[/tex]
You can also find the length by counting the units of the distance covered between the points.
Jada and Noah wanted to find the total volume of a cube and a rectangular prism. They know the prism's volume is 20 cubic units, and they know the cube has side lengths of 10 units. Jada says the total volume is 27,000 cubic units. Noah says it is 1,020 cubic units. Here is how each of them reasoned: Jada's method: Noah's method: 20 + 10^3 20 + 10^3 30^3 20 + 1000 27,00 1,020 Question: Do you agree either of them? Explain
Answer:
Only Noah is correct.
Step-by-step explanation:
Volume of the cube = 10^3 = 1000 units.
Total volume of the cube + the prism = 1000 + 2
= 1020 cubic units.
Answer:
Only Noah is correct.
Step-by-step explanation:
Volume of the cube = 10^3 = 1000 units.
Total volume of the cube + the prism = 1000 + 2
= 1020 cubic units.
Step-by-step explanation:
in a certain group of students, the probability of a randomly chosen students being male is 40%, the probability of the students studying in Spanish is 18%, and the probability of the student being male who study Spanish is 5%. What's the probability of the student studying Spanish, if you know the students male?
Divide the 5% of Spanish by 40% male:
0.05 / 0.40 = 0.125
Change to a percent by multiplying by 100:
0.125 x 100 = 12.5%
The answer is a. 12.5%
The probability of the student studying Spanish, if you know the students male will be 12.5%.
What is probability?Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favorable outcomes / Number of sample
Given that in a certain group of students, the probability of a randomly chosen student being male is 40%, the probability of the students studying Spanish is 18%, and the probability of the student being male who studies Spanish is 5%.
The probability of the student studying Spanish, if you know the student male will be calculated as below:-
Divide the 5% of Spanish by 40% of males:
0.05 / 0.40 = 0.125
Change to a percent by multiplying by 100:
0.125 x 100 = 12.5%
Therefore, the probability of the student studying Spanish, if you know the students male will be 12.5%.
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5. Shirley buys a fax machine and sells it to De
at a gain of 25% on the cost price. Devi then ses
the fax machine to Amirah at a loss of 250 on the
price at which she buys it from Shirley. If Amirah
pays $360 for the fax machine. how much die
Shirley pay for it
Answer:
Shirley bought a fax machine and sells to Devi at a profit of 25% on the cost price.
Shirley buy price:: x
Devi buy price:: 1.25x
Devi sells the fax machine to Amirah at a loss of 250 on the price which she buys it from Shirley.
Amirah buy price = 1.25x -250
if Amirah pays $360 for the fax machine,how much did Shirley pay for it?
Equation:
1.25x - 250 = 360
1.25x = 360 + 250
x = 610 / 1.25
x = 488
Ans: x = $488 (Price Shirley paid)
given the graphed function below which of the following ordered pairs are found on the inverse function
Answer:B
Step-by-step explanation:
Answer: A
Step-by-step explanation:my answer was A and it was correct