Answer:
A statement, also known as an axiom, which is taken to be true without proof. Postulates are the basic structure from which lemmas and theorems are derived.
Step-by-step explanation:
The Addition Postulate: If you have one apple and Sally has one apple, when you both add the same quantity to your existing number of apples, you'll still have the same number of apples. Using algebra, the postulate states:
If x = y, then x + 4 = y + 4
The Subtraction Postulate: If you have ten apples and Sally has ten apples, when you both subtract the same quantity of apples from your existing number of apples, you'll still have the same number of apples.
If x = y, then x - 3 = y - 3
Without being repetitive, these same principles apply to both multiplication and division.
The Multiplication Postulate: If x = y, then x * 3 = y * 3
The Division Postulate: If x = y, then x / 7 = y / 7
Answer:
suggest or assume the existence, fact, or truth of (something) as a basis for reasoning, discussion, or belief.
Step-by-step explanation:
Order the following from LEAST to GREATEST: 26, 6.25, 4.7, 16
Answer:
4.7 , 6.25 , 16 , 26
Answer:
From least to greatest
4.7
6.25
16
26
find the slope(-1,-1),(2,-2)
Answer:
[tex]\huge\boxed{slope=-\dfrac{1}{3}}[/tex]
Step-by-step explanation:
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Substitute the coordinates of the given points (-1, -1) and (2, -2):
[tex]m=\dfrac{-2-(-1)}{2-(-1)}=\dfrac{-2+1}{2+1}=\dfrac{-1}{3}=-\dfrac{1}{3}[/tex]
What is the value of the expression below when y=8y and z=8z? 10y-3z
Answer:
80y-24z
Step-by-step explanation:
What are the steps for using integer tiles to evaluate the expression 45-15?
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Start with 15 tiles and separate them into 3 same-sized groups.
Start with 45 tiles and separate them into 15 same-sized groups.
Assemble 45 groups of 3 tiles each.
Assemble 45 groups of 15 tiles each.
Answer: B. Start with 45 tiles and separate them into 15 same-sized groups
Step-by-step explanation:
In this case, 45 is divided by 15
#1 we should start with the total amount (dividend) that is going to be divided which is 45
#2 we should separate the dividend into the divisors amount which is 15
with all the steps, we will get the 3 groups of 15 which will be the answer
#CarryOnLearning
Answer:
its b sorry im late
Step-by-step explanation:
Which diagram BEST represents the relationship among integers, rational numbers, and whole numbers?
Answer:
The correct option is;
A)
Step-by-step explanation:
By the representation of numbers in a figurative for, we have;
1) Th rational numbers that can be expressed in the form a/b, where a and b are real numbers
2) The integers are the direct subset of the set of rational numbers and are displayed in he next larger ellipse in the figure
3) The whole numbers are the direct subset of the set of integers.
Answer:
the correct option is A
Step-by-step explanation:
please mark as brainliest
this is the diagram that is right
pls help i’m very confused
Answer:
m<EBD = 130 degrees
Step-by-step explanation:
We can say that Line EC is bisected by Line AD at point B. The angle CBD = 50 degrees is a supplement of the bisected line EC. With this in mind we can say:
EBD + CBD = 180
And we can solve for EBD:
EBD + CBD = 180
EBD + 50 = 180
EBD = 130
So the measure of angle EBD is 130 degrees.
Cheers.
Answer:
130°
Step-by-step explanation:
You need the remaining angle. 50° and the missing angle make up 180°. Therefore, you need to subtract 50 from 180. 180 - 50 = 130. Hence, the missing angle is 130°.
I hope it's ok if I used your photo!
0.4x - 2.5 = 1.3x + 4.7
Answer:
x=-8
Step-by-step explanation:
Step 1.) 0.4x-2.5=1.3x+4.7
Step 2.) -2.5=1.3x-0.4x+4.7
Step 3.) -2.5=0.9x+4.7
Step 4.) -2.5-4.7=0.9x
Step 5.) -7.2=0.9x
Step 6.) -7.2/0.9=x
Step 7.) -8=x
Use the equation below to find v, if u = 20, a= 12, and t= 3.
v=u+at
Answer:
V is 56
Step-by-step explanation:
V= 20+12(3)
V= 20 + 36
V = 56
A rectangular flour canister has dimensions of 512 inches by 4 inches by 10 inches. A smaller sugar canister has dimensions of 312 inches by 3 inches by 8 inches. How much smaller is the volume of the sugar canister than the flour canister?
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Louise is making bags of party favors. She has 16 stickers and 24 bracelets. She wants each bag to be alike, and she needs to use all of the stickers and bracelets. What is the greatest number of party bags she can make?
Find the multiples of each number:
16: 2, 4, 8, 16
24: 2, 3, 4, 6, 8, 12
Now for the greatest number of bags, use the greatest common factor.
The greatest common factor is 8
16 / 8 = 2
24 / 8 = 3
She can make 8 bags which contains 2 stickers and 3 bracelets in each bag.
Answer:
8 party bags.
Step-by-step explanation:
We are dealing with greatest common factor.
16= 1,2,4,8
24=1,2,3,4,6,8,12
Now we see the greatest common factor is 8 bags. Since we know its 8 bags, we can make this conclusion. 16/8= 2 stickers each bag. 24/8=3 bracelets each bag. So, the greatest number of party bags she can make is: 8 bags.
More info: 2 stickers each. 3 bracelets each.
Hope this helps! :)
Givin the sequence 2,6,10
What are the next numbers in the sequence ?
12,16
16,24
14,20
14,18
What is the first derivative of p with respect to q (i.e., differentiate P with respect to q)?P = 6q2 + 3
Answer:
12qStep-by-step explanation:
Given P = 6q² + 3, we are to find the derivative of the function with respect to q. Generally if y = axⁿ;
dy/dx = naxⁿ⁻¹
Rewriting the given equation as P = 6q² + 3q⁰
Using the formula to find the derivative;
dP/dq = 2(6)q²⁻¹ + 0(3)q⁰⁻¹
dP/dq = 12q¹ + 0
dP/dq = 12q
Hence the derivative of the function P with respect to q is 12q
Ali is making pottery. He uses 38 of a 2-pound bag of clay to make a set of bowls. Each set has 4 bowls. Drag one expression next to each question. The correct expression for each row is a way to answer that question.
Answer:
[tex]\frac{3}{8}[/tex]
[tex]2\times \frac{3}{8} = \frac{3}{4}[/tex]
Step-by-step explanation:
According to the given scenario given that
if Ali uses [tex]\frac{3}{8}[/tex] of 2 pounds of clay for a game of 4 bowls
[tex]\frac{3}{8} (2) = \frac{6}{8} = \frac{3}{4}[/tex]
here Ali will use the number of pounds of clay to create a game
[tex]2\times \frac{3}{8} = \frac{3}{4}[/tex]
Now, we need to compute the number of pounds of clay that should be used in every bowl, we need to divide the prior outcome by 4 which is
[tex]\frac{2\times \frac{3}{8}}{4}[/tex]
5.The ratio of the age of a mother and her son is 5:2. If the
age of the son is 16 years, find the age of mother.
Answer:
The age of mother is:
40 years
Step-by-step explanation:
2a = 5b
b = 16
a = age of a mother
b = age of her son
2a = 5*16
2a = 80
a = 80/2
a = 40
probe:
2*40 = 5*16 = 80
I need help I have to indicate how many terms it contains then copy and simplify each expression by combining like terms
Answer:
b) −3y2−2x+1
d) −4xy+4y2−y−10
Step-by-step explanation:
b) -4x + y2 - 9 + 10 - x + 3x - 4y2
(i have just underlined, italic and made it bold to show the like terms)
-4x - x + 3x = -2x
y2 - 4y2 = -3y2
-9 + 10 = 1
-2x - 3y2 + 1
d) 0 - 20 - 5xy + 4y2 + 10 - y + xy
(i have just underlined, italic and made it bold to show the like terms, however the '-y' and '4y2' have no like terms)
0 - 20 + 10 = - 10
-5xy + xy = - 4xy
-10-4xy+4y2-y
Divide 36x3 − 96x2 + 48x by 12x.
Answer:
3x^2-8x+4
Step-by-step explanation:
Help with the question below pls, will mark Brainiest
Answer:
original price = $270 new price = $306.99
Step-by-step explanation:
To solve this we first have to find the original price.
13.7 % of the original price is $36.99 from the question.
We multiply 100 /13.7 * 13.7 /100 to get the 100% value or the original price.
We also multiply 100 /13.7 * 36.99 = $270 to get the original value.
So the original price is $270.
We add $36.99 to the original price to get the new price.
$270 + $36.99 = $306.99
I need help with Q11 ASAP!!!
Answer:
Hey there!
When z=48, y=6.
z is 8 times as much as y.
11 part 1: z=8y
11 part 2: I'm going to attach a graph I created at the bottom of this answer :)
Let me know if this helps :)
Help 14x^2 + 10 - 3x^2- 3
a) 11x^2 + 2x + 7 ,b) 11x^2 + 10 ,c) 11x^2 + 13 ,d) 11x^2 + 7
Answer:
D) 11x² + 7
Step-by-step explanation:
combine "like" terms
Parallel lines m and n are cut by a transversal t. Which two angles are NOT corresponding angles?
Answer:
Hey there!
Corresponding angles are in the same position, so 1 and 6 are not corresponding angles.
Let me know if this helps :)
Answer:
A
step by step explanation
1 and 6
I need help with this plz.
========================================================
Explanation:
T = (0,0) moves to T ' = (3,0) since we shift 3 units to the right. We add 3 to the x coordinate. The y coordinate does not change since we're not shifting up or down.
Q = (-2,0) moves to Q ' = (1,0) after applying the same rule we did to point T.
M = (-3,2) moves to M ' = (0,2)
Y = (-3,3) moves to Y ' = (0,3)
See the diagram below
[tex] - (x + 2) - 2 x = - 2(x + 1)[/tex]
how do I solve this when there no number at the beginning?
slope of (6,7) (9,8)
Answer:
1/3
Step-by-step explanation:
We can find the slope using the slope formula
m = (y2-y1)/(x2-x1)
= ( 8-7)/(9-6)
= 1/3
Answer:
[tex] \frac{1}{3} [/tex]
Step-by-step explanation:
Step 1: Use slope formula
[tex]m= \frac{y2 - y1}{x2 - 1} [/tex]
[tex]m = \frac{8 - 7}{9 - 6} [/tex]
[tex]m = \frac{1}{3} [/tex]
Therefore the slip of the equation is 1/3
e=mc^2 solve for c please help will mark brainliest
Answer:
c= - (sqr em)/m
Step-by-step explanation:
Answer:
c = ± [tex]\sqrt{\frac{e}{m} }[/tex]
Step-by-step explanation:
Given
e = mc² ( divide both sides by m to isolate c² )
[tex]\frac{e}{m}[/tex] = c² ( take the square root of both sides )
c = ± [tex]\sqrt{\frac{e}{m} }[/tex]
Solve the following equations by factorisation method.Only factorisation not dharacharya.
Hello, please consider the following.
When [tex]x_1[/tex] and [tex]x_2[/tex] are two roots, we can factorise as
[tex]ax^2+bx+c=a(x-x_1)(x-x_2)=a(x^2-(x_1+x_2)x+x_1x_2)=0[/tex]
So for the first equation, we can say that the sum of the zeros is
[tex]\dfrac{a^2+b^2}{2}=\dfrac{a^2}{2}+\dfrac{b^2}{2}[/tex]
and the product is
[tex]\dfrac{a^2b^2}{4}=\dfrac{a^2}{2}\dfrac{b^2}{2}[/tex]
So we can factorise as below.
[tex]4x^2-2(a^2+b^2)x+a^2b^2=(2x-a^2)(2x-b^2)=0[/tex]
And the solutions are
[tex]\boxed{\sf \n\bf \ \dfrac{a^2}{2} \ \ and \ \ \dfrac{b^2}{2}}[/tex]
For the second equation, we will complete the square and put the constant on the right side and take the root.
Let's do it!
[tex]9x^2-9(a+b)x+2a^2+5ab+2b^2=0\\\\9(x-\dfrac{a+b}{2})^2-9\dfrac{(a+b)^2}{4}+2a^2+5ab+2b^2=0\\\\9(x-\dfrac{a+b}{2})^2=\dfrac{9(a+b)^2-8a^2-20ab-8b^2}{4}\\\\9(x-\dfrac{a+b}{2})^2=\dfrac{9a^2+18ab+9b^2-8a^2-20ab-8b^2}{4}\\\\9(x-\dfrac{a+b}{2})^2=\dfrac{a^2+b^2-2ab}{4}=\dfrac{(a-b)^2}{4}\\\\(x-\dfrac{a+b}{2})^2=\dfrac{(a-b)^2}{2^2\cdot 3^2}[/tex]
We take the root, and we find the two solutions
[tex]\begin{aligned}x_1&=\dfrac{a+b}{2}-\dfrac{a-b}{6}\\\\&=\dfrac{3a+3b-a+b}{6}\\\\&=\dfrac{2a+4b}{6}\\\\&\boxed{=\dfrac{a+2b}{3}}\end{aligned}[/tex]
[tex]\begin{aligned}x_1&=\dfrac{a+b}{2}+\dfrac{a-b}{6}\\\\&=\dfrac{3a+3b+a-b}{6}\\\\&=\dfrac{4a+2b}{6}\\\\&\boxed{=\dfrac{2a+b}{3}}\end{aligned}[/tex]
Thank you.
10x - 5y = -25
l0x+8y=14
Greetings,
I hope you and your family are staying safe and healthy!
Answer: x = -1 and y = 3
Step-by-step explanation:
[tex]10x - 5y = -25 \\10x + 8y = 14[/tex]
Let's start by solving [tex]10x - 5y = -25[/tex] for [tex]x[/tex]
[tex]10x - 5y=-25[/tex]
Add 5y to both sides
[tex]10x - 5y + 5y = -25+5y \\10x = 5y - 25[/tex]
Now we need to divide both sides by 10
[tex]\frac{10x}{10} = \frac{5y-25}{10}[/tex]
[tex]x = \frac{1}{2} y + \frac{-5}{2}[/tex]
That's not the answer for x. We are not done yet :)
Now we need to substitute [tex]\frac{1}{2} y + \frac{-5}{2}[/tex] for [tex]x[/tex]
[tex]10x + 8y = 14\\10(\frac{1}{2} y + \frac{-5}{2} + 8y = 14[/tex]
Now we need to simply both sides
[tex]13y - 25 = 14[/tex]
Now we need to add 25 to both sides
[tex]13y - 25 + 25 = 14 + 25 \\13y = 39 \\y = \frac{39}{13} \\y=3[/tex]
We have the valuee for y! Now we need to find the value for x
To find the value of x, we need to substitute 3 for y in:
[tex]x = \frac{1}{2} y + \frac{-5}{2} \\x = \frac{1}{2} 3 + \frac{-5}{} \\x = -1[/tex]
Therefore,
The answer is x = -1 and y = 3
---------------------
Please kindly give me 5 stars and leave a thanks if you find my answer to be helpful. Thanks!
Which situation can be represented by -35 + 35? Choose all that apply.
Last night Jenny read 35 fewer pages than the night before. She reads 35 pages tonight.
A diver is 35 feet below the surface of the water and then comes up to the surface.
Eric adds 35 milliliters of water to a test tube containing 35 milliliters.
Manuel owes the electric company $35 and he pays them $35.
Answer: B & D
Step-by-step explanation:
In this scenario we want to come out with a situation where both sides are in an even playing field, as the equation solves to zero.
If a diver is 35 feet below water (-35) and he comes up to breathe, he goes up 35ft (35) meaning he is at the surface (0).
If Manuel is in debt for 35$ (-35) and then he pays off the 35$ (+35) then he is even (at 0).
Answer:
A diver is 35 feet below the surface of the water and then comes up to the surface.
4. Find the domain I've got no clue, the lesson made no sense to me either.
Answer:
x is greater than or equal to -4 but less than or equal to 4
Step-by-step explanation:
The "domain" is all of the x values on the line. But there are an infinite amount of x-values there, so it must be written as that.
Answer:
See below.
Step-by-step explanation:
The domain is simply the range of x-values the graph encompasses. From the given graph, we can see that the graph stretches from x=-4 to x=+4.
However, note that the graph does not include -4 since the point is an open circle. However, it does include +4 since the point is a closed circle. Therefore, the domain of this graph is:
In interval notation:
[tex](-4,4][/tex]
(Parenthesis on the left because -4 is not included. Brackets on the right because +4 is included.)
How many different lines can a plane contain?
Answer:
For example if the three points are A, B and C in your diagram then there are infinitely many planes that contain the points. The final point is that if the three points do not lie on a line then there is exactly one plane that contains the points.
Step-by-step explanation:
What is the measure of ZABD?
A. 329
B. 589
C. 640
D. 1489
E. 180
Answer:
148
Step-by-step explanation:
a straight line is always 180 degrees. therefore if you subtract 32 from 180 you are left with 148 degrees.
hope this helps
Answer:
D
Step-by-step explanation:
∠ ABD and ∠ ABC are adjacent angles and are supplementary, thus
∠ ABD + 32° = 180° ( subtract 32° from both sides )
∠ ABD = 148° → D