Answer:
Step-by-step explanation:
You asked: How do you know when to rewrite square trinomials and difference of squares binomials as separate factors? First, and mostly obviously is when the directions say to factor the given expression. Next, if you're given an equation and asked to solve it. You set it equal to 0 and factor the perfect square trinomial or the difference of squares binomial. Set each factor equal zero and solve. This is a little bit oversimplified but, solutions are roots are zeros are x-intercepts, so if you are asked to find any of those things. Set your equation equal to zero, factor and solve. Also, if you have a rational expression (a fraction with a polynomial on top and a polynomial on the bottom) you would need to factor in order to simplify, to sketch a graph without technology. Anytime you need to simplify, factoring is good to try.
You also asked: How can sums and differences of cubes be identified for factoring? The sum or difference of cubes is in the form a^3 + b^3 or a^3 - b^3
You can memorize how to factor these a^3 + b^3 = (a+b)(a^2 - ab + b^2) and
a^3 - b^3 = (a-b)(a^2 + ab + b^2)
If you take the trouble to multiply these two factors back together you will see how four terms drop out and you get a binomial. Also the is an acronym SOAP to help you memorize it. Factoring cubes is used in the same way as you previous question. To factor, to solve, to simply, to graph. This was a really general question. I hope this helps.
- The line AB has equation 5x – 2y = 7. The point A has coordinates (1, -1) and the point B has coordinates (3,k). (a) (i) Find the value of k. (ii) Find the gradient of AB. (b) Find an equation for the line through A which is perpendicular to AB. (c) The point C has coordinates (-6, -2). Show that AC has length pV2, stating the value of p.
Step-by-step explanation:
For finding k we'll have to plug in the x-value of the coordinate (3,k) into the equation, and solve for the y:
5(3) - 2y = 7
15 - 2y = 7
2y = 8
y = 4 => k =4
2) I assume the gradient is the slope of the line. If so, just isolate the y in the original equation and see what's the coefficient of the x:
-2y = -5x + 7
y = (5/2)x + 7/2 => the gradient is 5/2
3) the condition of perpendicularity is expressed by the following relation:
a * a' = -1
Where a is the slope of the first line and a' of the second line. We need to find a' that will be:
-1/a = -1/(5/2) = -2/5
The perpendicular line will be:
y = (-2/5)x + b
We need to find b, and we know that this line passes through A (1,-1):
-1 = (-2/5)*1 + b
b = -1+(2/5) = -3/5
The equation will be:
y = (-2/5)x - 3/5.
4) I don't know what that symbol means (pV2).
In right triangle XYZ, the right angle is located at vertex Y. The length of line segment XY is 12.4 cm. The length of line segment YZ is 15.1 cm. Which is the approximate measure of angle YZX?
a. 34.8°
b.39.4°
c.50.6°
d.55.2°
jesse walks 3 miles per hour to school.the school is 1.5 miles away.How long would it take jesse to walk to school
how many
edges does a polyhedron with 8
faces and 12 vertices have?
Answer:
Edges = 18
Step-by-step explanation:
We know that
v - e + f = 2
Where,
v = vertices
e = edge
f = faces
So,
12 - e + 8 = 2
20 - e = 2
20 - 2 = e
18 = e
Answer:
18 edges
Step-by-step explanation:
As said in the answer before it is 18. The equation used to find the answer is the Euler's Formula : F+V=E+2. Where F is faces, V is vertices, and E is edges. If given the F and V then all you have to do is add them together and subtract 2. Toodles ;)
PS: ACELLUS SUCKS
please help me with the question please ☹️
Answer:
the last one
Step-by-step explanation:
because those are oppiste poles
Madie drove 200 miles at a speed of 50 miles per hour. Which equation will help you find the number of hours she was driving?
StartFraction 50 miles Over 1 hour EndFraction = StartFraction 200 miles Over question mark hours EndFraction
StartFraction 50 miles Over 1 hour EndFraction = StartFraction question mark hours Over 200 miles EndFraction
StartFraction 200 miles Over 1 hour EndFraction = StartFraction 50 miles Over question mark hours EndFraction
StartFraction 200 miles Over 1 hour EndFraction = StartFraction question mark hours Over 50 miles EndFraction
she drove for 4 hours
Answer:
the person above me is wrong its not an option for me ;-;
Step-by-step explanation:
Find the area of this parallelogram
Answer:
260
Step-by-step explanation:
A=bh
A=13 x 20
A=260
What is the product of using scientific notation to solve the problem of 20.5 * 10 to the 7th power and 0.000036
Answer:
7.38×10^3
Step-by-step explanation:
The usual rules of exponents apply.
(20.5×10^7)(3.6×10^-5) = (2.05)(3.6)(10^(8-5)) = 7.38×10^3
_____
Additional comment
You can have your scientific or graphing calculator or your spreadsheet compute this product for you and display the result in scientific notation. You can enter the numbers in scientific notation or in standard form in any calculator or spreadsheet. (For a spreadsheet, the first number would be entered 20.5e7 or 2.05e8.)
The applicable rule of exponents is ...
(10^a)(10^b) = 10^(a+b)
Just as the place values increase by factors of 10 going to the left of the decimal point, so they decrease by factors of 10 to the right. The number 3 in 0.000036 is in the 5th place to the right of the decimal point, so has a place value of 10^-5.
Mark has taken four tests so far this quarter. His grades were 88%, 95%, 80%, and 92%. What is the mean of his test scores?
Answer:
88.75%
Step-by-step explanation:
add all the terms given = 355
there are 4 terms.in this set.
355 ÷ 4 = 88.75
What I 0.00005164 written as a single digit times a power of ten
Answer:
5.164×10^-5
Step-by-step explanation:
[tex]5.164 \times {10}^{ - 5} [/tex]
are the following expressions equivalent 5(2z+3) and (5x2)+(z+3)
Answer: yes they are
Step-by-step explanation:
Question
A triangle with area 40 square inches has a height that is four less than six times the width. Find the width and height of the
triangle
Answer:
width is 4
height is 20
Step-by-step explanation:
Area=½ width × height
let the width be x
height will be 6x - 4
40 = ½ × x × (6x - 4)
40 = 2/2 × 3x² - 2x
40 = 3x² - 2x
3x² - 2x - 40 = 0
3x² -12x + 10x - 40 = 0
3x(x-4) + 10(x-4) = 0
(3x + 10)(x - 4) = 0
x = -10/3 or 4
dimension cannot be negative
x is 4
6x-4= 6(4) - 4
24 - 4
20
There are nine marbles in a group, and four of those marbles are red. What
fraction of the marbles are red?
Express 972 in the exponential from using prime factors
[tex]972 = 4 \times 243 = 2^2 \times 3^5[/tex]
Solve by completing the square 2x^2+x-4=0
Answer:
x=-1±[65]
________
8
Step-by-step explanation:
solve the equation for xby finding a,b, and come of the quadratic then applying the quadratic formula
1) To solve this system of equations by elimination, what operation could be used to eliminate the y-variable and find the value of x?
2x - 4y = 6
-3x + 3y = 12
A) add 3 times the second equation to 4 times the first equation
B) add 4 times the second equation to 3 times the first equation
C) subtract 3 times the second equation from 4 times the first equation
D) subtract 4 times the second equation from 3 times the first equation
PLEASE HELP!!!
Answer:
Option B is correct.
add 4 times the second equation to 3 times the first equation
Step-by-step explanation:
Answer:
B) add 4 times the second equation to 3 times the first equation
Step-by-step explanation:
So you have these two equations:
2x - 4y = 6
-3x + 3y = 12
In order "to solve this system of equations by elimination" we want to make BOTH of the equations have a term (in this case the y term) and have the same coefficient (that's the number right next to the y) If they are the exactly same number, even the same sign in front, then we would subtract the equations. If they have the same coefficient but different signs, then we would add the equations. This will eliminate the y term completely. So in order to make them have the same coefficient. We'll multiply the first equation by 3 and the second equation by 4
3(2x - 4y = 6)
4(-3x + 3y = 12) multiplying all the way across the equation (distributing)
We'll get
6x -12y = 18
-12x + 12y = 48 Then you are actually adding from the top, down and get one equation from adding the two existing ones together.
-6x = 66 And then you are able to solve it by dividing both sides by -6 to get
x = -11
You can then use either equation and x = -11 to find y. Your solution is the x, y pair. You can check it by putting the x and y into both equations and finding it makes a true statement in both.
Solve the inequality. Graph the solution.
−16>x÷2
Answer:
-32>x
Step-by-step explanation:
-16>x÷2
-16×2>x
-32>x
Mr Moore has 4 types of ice cream flavors. Each flavor can make 15 individual ice creams. 70% of these ice creams are in waffle cone. How many of these ice creams are in a waffle cone?
Answer:
42 ice creams in a waffle cone
Step-by-step explanation:
First we try to find how many ice cream does Mr. Moore has:
4*15=60 ice cream
It is said it 70% of these ice creams are in waffle cones. So 60*70/100= 60*7/10=6*7=42 ice creams in a waffle cone.
1 22.8 ÷ 0. 92 =
2 34.08 ÷ 0.24 =
3 28.9 ÷ 0.85 =
4 7. 15 ÷ 0.05 =
5 210.21 ÷ 0.91 =
Please answer it
Answer:
1. 24.7826087
2. 142
3. 34
4. 143
5. 231
if the answer wants number 1. rounded in tenths, put 24.8
if they want it rounded in hundreths, put 24.78
hope this helps
1) 24.78
2) 142
3) 34
4) 143
5) 231
hope u liked this answer
#keep learninghellooo merry christmas !
can someone please help mee? ik its a lot but even just a little help would be very mich appreciated :))
Answer:
Merry Christmas to u, ik i can't help but I would just like to say merry Christmas to u too
Last oneeee helpppp pleaseeeee
[tex]13-4x = 13 -4(-8) = 13 +32 = 45[/tex]
=> 13 - 4x
=> 13 - 4(-8) ..(when x = (-8))..
=> 13 - (-32) ..( (-) , (-) = + )..
=> 13 + 32
=> 45
_ _ _ _ _ _ _ _ _ _ _☆ Final Answer ☆45_ _ _ _ _ _ _ _ _ _ _☆- PhysicsMaths - ☆
If I is parallel to m. Find x and y
Answer: make me brainlist
Step-by-step explanation: x=104
Susanna walked 2/7 of a mile in two over five of an hour what is a unit rate in miles per hour
Answer:
speed = distance/ time so:
(2/7) / (2/5) = (2/7) x (5/2) = 10/14 = 5/7 mph
5/7 = 0.71 miles per hour if you need decimal formatStep-by-step explanation:
Step-by-step explanation:
2/7 miles in 2/5 hours.
to bring this to x miles / 1 hour, we must find the factor for 2/5 to turn into 1.
2/5 × f = 1
f = 5/2
in order to keep the value of the original ratio, we now need to multiply also 2/7 by the same factor (5/2).
2/7 × 5/2 = 10/14 = 5/7
so, the unit rate is 5/7 miles / hour.
which is very slow walking.
100 points will award brainliest crown
Draw the image of EFG under the dilation with scale factor 3/2 and center of dilation (0, 0). Label the image E' F' G'
Answer:
Should be 3 units away from the picture
Step-by-step explanation:
I hope this helps! ;)
The coordinates of the image of EFG under the dilation with scale factor 3/2 and center of dilation (0, 0) are E(-3,3), F'(-3,-3) and G'(3,-3).
What is the dilation of the figure?Dilation of a figure, means the transformation of the figure. The factor by which the given figure dilated, called the scale factor of dilation.
The image of EFG under the dilation with scale factor and center of dilation has to be drawn.
The value of scale factor of dilation is 3/2.The center of dilation is at (0, 0).The coordinates or the triangle are E(-2,2), F(-2,-2) and G(2,-2). The new points after the dilation are,
[tex]E'(-2\times\dfrac{3}{2},2\times\dfrac{3}{2})=E'(-3,3)\\F'(-2\times\dfrac{3}{2},-2\times\dfrac{3}{2})=F'(-3,-3)\\G'(2\times\dfrac{3}{2},-2\times\dfrac{3}{2})=G'(3,-3)[/tex]
The dilated image of triangle EFG is attached below.
Thus, the coordinates of the image of EFG under the dilation with scale factor 3/2 and center of dilation (0, 0) are E(-3,3), F'(-3,-3) and G'(3,-3).
Learn more about the dilation of the figure here;
https://brainly.com/question/3457976
#SPJ2
if 3t+p = k then t is equal to what?
Answer:
Here is your answer hope I helped! <3
Step-by-step explanation:
t=k/3-p/3
Choose the term from the list that best represents the item in each box:
if y’all just commenting for the points in will literally report yall.
Answer:
1. run
2. rise
3. negative slope
4. positive slope
5. constant of proportionality
6. slope of the line
Step-by-step explanation:
Select the interval where g(2) < 0.
(graphed on khan academy)
Answer:
the number 0 Originally called finding the vertical asymptote.
Question
Which of the following angle measures are possible for a triangle to be classified as acute? Select all that apply.
Select all that apply:
45°, 34", 101°
122, 36, 22
75°, 61°, 44°
22°, 86°, 72
Answer:
45°, 75°, 61°, 44°, 22°, 86°
Step-by-step explanation:
They have to be angles less than 90°.
Answer:
(c) 75°, 61°, 44°
(d) 22°, 86°, 72
Step-by-step explanation:
The largest angle must be less than 90°, and the sum of angles must be 180°. These conditions are met by the lists of angles shown above.
If a constant force acts upon an object with a mass of 2 kg, the acceleration of the object is 14 m/s^2. When the same Force acts upon another object it's acceleration is 4m/s^2. What is the mass of the object?
Step-by-step explanation:
in the first object:
force = mass × acceleration = 2 × 14 = 28 N
in the second object :
force = mass × acceleration
28=mass×4
then the mass = 28/4 = 7 kg
find the value of log9 0.24. (hint: log2=0.301 log3=0.477)
Answer: -0.65 approximately
Work Shown:
[tex]\log_{9}(0.24) = \frac{\log(0.24)}{\log(9)}\\\\\log_{9}(0.24) = \frac{\log(0.03*8)}{\log(3^2)}\\\\\log_{9}(0.24) = \frac{\log(3*10^{-2}*2^3)}{\log(3^2)}\\\\\log_{9}(0.24) = \frac{\log(3)+\log(10^{-2})+\log(2^3)}{\log(3^2)}\\\\\log_{9}(0.24) = \frac{\log(3)-2\log(10)+3\log(2)}{2\log(3)}\\\\\log_{9}(0.24) \approx \frac{0.477-2*1+3*0.301}{2*0.477}\\\\\log_{9}(0.24) \approx \frac{-0.62}{0.954}\\\\\log_{9}(0.24) \approx -0.649895\\\\\log_{9}(0.24) \approx -0.65\\\\[/tex]