Answer:
Using the section formula, if a point (x,y) divides the line joining the points (x
1
,y
1
) and (x
2
,y
2
) in the ratio m:n, then
(x,y)=(
m+n
mx
2
+nx
1
,
m+n
my
2
+ny
1
)
3AC=CB
CB
AC
=
3
1
Since, A(1,1) and B(2,3) & m:n=1:3
Therefore, we have
C(
m+n
mx
2
+nx
1
,
m+n
my
2
+ny
1
)
(
1+3
(1)(2)+3(1)
,
1+3
(1)(3)+3(1)
)
C→(
4
5
,
2
3
).
f(x) = 3x2 – x
Find f(10)
Answer: f(10) = 290
Concept:
Here, we need to understand the idea of evaluation.
When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.
Solve:
Given expression
f(x) = 3x² - x
Substitute values into the expression
f(10) = 3(10)² - (10)
Simplify exponents
f(10) = 3(100) - (10)
Simplify by multiplication
f(10) = 300 - 10
Simplify by subtraction
f(10) = [tex]\boxed{290}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
You have one box that is 1 4/11
feet tall and a second box that is 1.36 feet tall. Write the decimal expansion for
. If you stack the boxes, about how tall will the stack be?
The stacked boxes would be 2.72 feet tall
The height of the stacked box is the sum of the lengths of the two boxes
1 4/11 is a mixed number and it has to be converted to a decimal
A mixed number is a number that has a whole number and a proper fraction.
A proper fraction is a fraction is which the numerator is less than the denominator.
The whole number is 1 and the proper fraction is 4/11
To convert to a decimal, divide the numerator by the denominator. Add this number to the whole number
4/11 = 0.36
1 + 0.36 = 1.36 feet
Height of the stacked boxes = 1.36 + 1.36 = 2.72 feet
To learn more about decimals, please check:
https://brainly.com/question/18657762?referrer=searchResults
A number is considered "blue" if the sum of its digits is equal to the product of its digits. Which of the following
is "blue"?
Answer:
gcfcfud g fhhfhchgdjchfhfhgfhhufxyvhcj v hxhcnchchdfhvhdnfjc
Answer:
212205
Step-by-step explanation:
Well each letter is a number of a alaphabet
PLEASE HELP 25 points and brainliest!
Answer: 8.1 × 10¹⁰
Concept:
When multiplying exponents, add the exponents together.
When dividing exponents, subtract the exponents.
Solve:
Given expression
(3 × 10⁶) × (2.7 × 10⁴)
Put like terms together
=3 × 2.7 × 10⁶ × 10⁴
Combine like terms
=8.1 × 10⁶⁺⁴
=[tex]\boxed{8.1*10^{10}}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Answer:
8.1 x 10^10
Step-by-step explanation:
When you do this type of problem you want to combine the like terms together, in this case is this.
3 × 2.7 × 10⁶ × 10⁴. So you will get.
8.1 x 10⁶⁺⁴
Which is 8.1 x 10^10 simplified
Ray's birthday is 8 more than four times the number of days away from today than Jane's birthday. If Ray's birthday is 24 days from today, how many days untill Jane's birthday?
Answer:
4 days
Step-by-step explanation:
Since it is 8 more than 4 times, take 24 because that is how many days away rays birthday is and subtract 8. So now we have 24-8 which is 16. Now divide 16 by 4 to get 4 which is how many days away janes birthday is. So the answer is 4 days.
please answer these question I will mark brainliest please only do part c and f
Answer:
c.15+2z/6x-12y
f.7a+b/4a-6b
Step-by-step explanation:
z+1/x-2y - 2x-3/2x-4y + z/3x-6y
z+1/x-2y - 2x-3/2(x-2y) + z/3(x-2y)
6(z+1)-3(2z-3)+2z
15+2z/6x-12y
3a/2a-3b - a+b/2(-3b+2a)
6a+a+b/2(2a-3b)
7a+b/4a-6b
write as a single fraction in it's simplest form:
[tex]x - 8 \div x + 3x \div x + 1[/tex]
Answer:
-8/3x
Step-by-step explanation:
-8 / 3x / 1
-8 / 3x
.....
..
Two dice are rolled. A = ‘sum of two dice equals 3’ B=‘sumoftwodiceequals7’ C=‘at
least one of the dice shows a 1’ (a) What is P (A|C)?
(b) What is P (B|C)?
(c) Are A and C independent? What about B and C?
Presumably, the two dice are fair, so that each face has an equal 1/6 probability of being rolled. We roll 2 dice, so there are 6² = 36 possible outcomes, each with 1/36 probability of occurring.
We have
• P(A) = 2/36 = 1/18, because there are only 2 ways to roll a sum of 3 (1+2 and 2+1)
• P(B) = 6/36 = 1/6, because there are 6 ways of rolling a sum of 7 (1+6, 2+5, 3+4, 4+3, 5+2, 6+1)
• P(C) = 12/36 = 1/3, because if 1 die shows a 1, then there are 6 possible values for the other die, and vice versa)
(a) By definition of conditional probability,
P(A | C) = P(A and C) / P(C)
A and C only occur together if we had rolled either {1, 2} or {2, 1}, so ultimately
P(A and C) = P(A)
so that
P(A | C) = (1/18) / (1/3) = 3/18 = 1/6
(b) From the definition,
P(B | C) = P(B and C) / P(C)
By the same reasoning as in (a), we have to roll either {1, 6} or {6, 1} to have both B and C occur, so
P(B and C) = (2/36) / (1/3) = 6/36 = 1/6
(c) In order for two events X and Y to be independent, we need to have
P(X and Y) = P(X) P(Y)
or in terms of conditional probability,
P(X | Y) = P(X and Y) / P(Y) = P(X) P(Y) / P(Y) = P(X)
Then it follows that A and C are not independent, while B and C are independent.
Solve the compound inequality.
3 > 2x or x - 4 > 2
x <
or x >
Answer:
so our x is <
less than
explanation: 3>2x= 1.5<x
x- 4>2 =6<x
Find the surface area of this cube in cm²? 25 mm
Which of the following is not true about the number given below?
-6.7
a. The number is negative
b. The opposite of the number is negative.
c. The absolute value of the number is positive.
d. The number is 6.7 units away from zero.
PLEASE HELP ME!
Answer:
b. The opposite of the number is negative
Step-by-step explanation:
the opposite of -6.7 would be 6.7 not a negative
Ok guys i need HELP so im new to this school, and there is this boy he is rlly FINE, and i rlly like him, i think he likes me back, but i dont know. so far, i caught him staring at me in class, he complimented my waterbottle, and he trys to keep a coversation going. I play softball, he plays baseball, and he thinks thats cool i play softball, oh and he always begs me to pick him to be on my team for pe class. do u think he likes me? if so how can i make him like me more. and how do i tell him i like him?
Answer:
girly he probably does and just give subtle signs that you do. if a guy wants to spend more time w u he will try his best to get some time w u if that makes sense.
Step-by-step explanation:
12. Observe the pattern made by the figures. Can
you write a conjecture about the number of
triangles formed by connecting one vertex of
a polygon with n sides to each of the other
vertices? SEE EXAMPLE 2
A
Number
of Sides:
3
4
5
6
Conjectures are used to form opinions about a certain subject. The conjecture from the given figure is that:
The number of triangles that can be formed by an n-sided shape is n - 2.
Given that:
[tex]n \to[/tex] number of sides
From the attached figures, we have the following observation.
3 sides - 1 triangle4 sides - 2 triangles5 sides - 3 triangles6 sides - 4 trianglesIf this pattern continues, the number of triangles for an n-sided shape will be: n - 2
Hence, the conjecture is:
The number of triangles that can be formed by an n-sided shape is n - 2.
Read more about conjectures at:
https://brainly.com/question/15947300
A car travels 800 kilometers in 10 hours. What is it's average speed? How far will it go in 14 hours?
Answer:
10
Step-by-step explanation:
[tex]\\ \rm\longmapsto Speed=\dfrac{Distance}{Time}[/tex]
[tex]\\ \rm\longmapsto Speed=\dfrac{800}{10}[/tex]
[tex]\\ \rm\longmapsto Speed=80km/h[/tex]
Time=14h[tex]\\ \rm\longmapsto Distance=Speed(Time)[/tex]
[tex]\\ \rm\longmapsto Distance=80(14)[/tex]
[tex]\\ \rm\longmapsto Distance=1120km[/tex]
Is -√15 irrational or rational
Someone plz help giving brainliest
Answer:
Its C.
Step-by-step explanation:
I had this and its C. trust me
Given an isosceles right triangle that is oriented so that it is sitting on its hypotenuse, and the length of the hypotenuse is 12 mm. What is the height (from the hypotenuse to the vertex of the two legs) of this triangle as it sits
Answer:
5,12,13
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
A manager of a clothing store always orders 2 small shirts and 3 large shirts for every 4 medium shirts ordered. The manager plans to order 24 medium shirts.How many small shirts and large shirts will the manager order?
Answer:
Small shirts = 12 shirts
Large shirts = 18 shirts
Step-by-step explanation:
Given information
There are plans for ordering 24 medium shirts.
For every 4 medium shirts, there would always be 2 small shirts and 3 large shirts.
STEP ONE: Find how many groups of [4 medium shirts] are ordered.
24 / 4 = 6
There should be 6 groups of 4-medium-shirts orders.
STEP TWO: Find the number of small shirts.
6 × 2 = 12 shirts
STEP THREE: Find the number of large shirts.
6 × 3 = 18 shirts
Hope this helps!! :)
Please let me know if you have any questions or need further explanations
The largest moth is the Atlas moth. The Atlas moth is
11.8 inches long Which of the following is the lenghth
of the Atlas moth written as a mixed number
Please help!
Please do not just give the answer, also explain please because I need to know how to do this.
Find the value of X
Answer:
x = 6.5
Step-by-step explanation:
In order to solve this problem, you need to use trigonometry (sin, cosine, tangent).
Sin = opposite/hypotenuse
Cosine = adjacent/hypotenuse
Tangent = opposite/adjacent
We need to use tangent in this case because 10 is the opposite side from the 57° angle, and x is right next to it, making it adjacent. So, our equation would look like this:
tan (57)° = 10/x
Multiply both sides by x
x (tan (57)°) = 10
Divide both sides by tan (57)°
10 / tan (57)° = 6.49408 = 6.5
Step-by-step explanation:
We are given two angles measures and one side. Notice the given angle and the side that is opposite to that given angle is given. We need to find side x. But can we also find the angle opposite of the side we are trying to find. Yes we can
Remeber that triangles interior angles add up to 180.
Remeber that triangles interior angles add up to 180.One angle measure 90 and the other measure is 57 so
[tex]90 + 57 + x = 180[/tex]
[tex]x = 33[/tex]
So the angle opposite of the side we are trying to find is 33.
Since we know two angles and two sides that are opposite of those two angles respectively, we can use what is called Law of Sines
[tex] \frac{b}{ \sin(b) } = \frac{c}{ \sin(c) } [/tex]
where the numerator are the side measures, and the denominator are the angle measures.
Plug in the respectively values. Angle 57 is opposite of 10 and Angle 33 is opposite of x.
[tex] \frac{10}{ \sin(57) } = \frac{x}{ \sin(33) } [/tex]
Multiply both sides by sin 33 to isolate x.
We get
[tex]x = 6.494[/tex]
Round if needed
In other words, apply law of sines when you have two angles and two sides that are opposite of those angles respectively.
5. You make $10 per hour and worked 25 hours last week. They took out 5.65% for
income taxes and 7.65% for FICA. How much is your net pay?
Can someone help me pls ASAP
Hello! I’ll take any help !!
Answer:
√73
Step-by-step explanation:
a^2+b^2=c^2
8^2+3^2=c^2
64+9=c^2
√73 =√c^2
√73 =c
write three hundred and ninety six million two hundred and forty two thousand and two as a numeral
Answer:
Below.
Step-by-step explanation:
396,242,002
giải bất phương trình
a)2x+1/2x+2<1
b)1/x+4<1/x-2
Answer:
[tex]a)x < - \frac{2}{5} [/tex]
[tex]b)4 < - 2[/tex]
Step-by-step explanation:
[tex]a)2x + \frac{1}{2} x + 2 < 1[/tex]
[tex] = 4x + x + 4 < 2[/tex]
[tex] = 5x + 4 < 2[/tex]
[tex] = 5x < 2 - 4[/tex]
[tex] = 5x < - 2[/tex]
[tex] = x < - \frac{2}{5} [/tex]
[tex] = x < - 0.4 \times ∈( - \infty . - \frac{2}{5} )[/tex]
[tex]b) \frac{1}{x} + 4 < \frac{1}{x} - 2[/tex]
[tex] = \frac{1}{x} + 4 < \frac{1}{x} - 2.x≠0[/tex]
[tex] = 4 < - 2[/tex]
= X ∈ ∅
What is the solution to this system of equations?
( __ , __ )
Answer:
x = 5
y = 3
(5,3)
Step-by-step explanation:
use substitution...
4x -3(2x-7) = 11
-2x + 21 = 11
x = 5
y = 3
The temperature at 12:00 p.m. was 8°C. At 7:00 p.m., the temperature was -6°C. What was the change in temperature (in degrees Celsius)?
�� 6-degree increase
�� 14-degree increase
�� 6-degree decrease
�� 14-degree decrease
Answer: 14-degree decrease
Step-by-step explanation:
because it is getting colder and we know this because anytime temperature goes from positive to negative it becomes mad cold.
Anyways subtracting 14 from our initial temp at 8 degrees celsius brings us to a brisk -6 celsius
Write down the formula of calculating the average of the individual data
simplify 6^2n+1x9^nx4^2n÷18^nx2^nx12^2n please help ..Thank you
Answer:
[tex]2^{-4 n}\times3^{-2 n} + 3^{-2 n}\times4^{-n}[/tex]
Step-by-step explanation:
Assuming you meant [tex]\frac{6^{2n}+1*9^n*4^{2n}}{18^n*2^n*12^{2n}}[/tex], the answer is [tex]2^{-4 n}\times3^{-2 n} + 3^{-2 n}\times4^{-n}[/tex].
Solve the compound inequality 8x > –32 or 6x ≤ –48.
Answer:
x>-4 x≤-8
Step-by-step explanation:
