hi my name how are you home work sind
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pls solve this question for me ⤵️
(m-1)/2 - (m-2)/3 = ( m - 4 )/7
Answer:
m = - 31
Step-by-step explanation:
Given
[tex]\frac{m-1}{2}[/tex] - [tex]\frac{m-2}{3}[/tex] = [tex]\frac{m-4}{7}[/tex]
Multiply through by 42 , the LCM of 2, 3 and 7 , to clear the fractions
21(m - 1) - 14(m - 2) = 6(m - 4) ← distribute parenthesis
21m - 21 - 14m + 28 = 6m - 24
7m + 7 = 6m - 24 ( subtract 6m from both sides )
m + 7 = - 24 ( subtract 7 from both sides )
m = - 31
The figure below is a square. Find the length of side x in simplest radical form with a rational denominator.
9514 1404 393
Answer:
x = (√2)/2
Step-by-step explanation:
The diagonal is √2 times the side length (x), so ...
1 = x√2
√2 = 2x . . . . . multiply by √2
(√2)/2 = x . . . . divide by 2
The side length x is (√2)/2.
Answer quick plsssssssssss thx
Answer:
I think Substitution
Step-by-step explanation:
Because x is already solved for in the second equation.
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Generally, the ________ the sample, the more accurately it describes the population.
A. closer
B. better
C. smaller
D. larger
Answer:
The correct answer of this question is( larger)
may this answer is helpful for you
Kevin says that lines p and m will eventually intersect. Lines A and B intersect. Plane A contains lines p, m, and n. Line n is horizontal on the plane. Lines p and m are both going in the same direction and are identical. Plane B contains vertical line l which forms a right angle with line n. Is Kevin correct?
Answer:
No, because they are parallel.
Step-by-step explanation:
The lines [tex]p[/tex] and [tex]m[/tex] will not intersect, so Kevin is not correct.
It is given that planes A and B intersects. The plane A contains the line p, m and n on its plane. The lines p and m are parallel to each other. They are identical and move in the same direction.
Since the line p and m are parallel, they will not meet each other at any point because parallel lines does not intersect or meet at a point, they run parallelly along each other.
So, line p and m will not intersect.
Thus the answer is " No, because they are parallel."
Answer:
Step-by-step explanation:
no, because they are parrallel.
18. fine two consecutive odd integers whose sum is 36.
Answer:
17 and 19
Step-by-step explanation:
Let n denote the first odd integer.
If the two integers are consecutive and odd, then the second number is n+2.
Hence, n+n+2=36
=2n=34
Divide both sides by 2
=n=17
Therefore, the numbers are 17 and 19.
reduce to lowest term. 2x^2- 18/x^2+4x-21
Answer:
[tex]\frac{2(x+3)}{x+7}[/tex]
Step-by-step explanation:
Given
[tex]\frac{2x^2-18}{x^2+4x-21}[/tex] ← factorise numerator and denominator
2x² - 18 ( factor out 2 from each term )
= 2(x² - 9) ← difference of 2 squares
= 2(x - 3)(x + 3)
and
x² + 4x - 21 = (x + 7)(x - 3) , then
= [tex]\frac{2(x-3)(x+3)}{(x+7)(x-3)}[/tex] ← cancel common factor (x - 3) on numerator/ denominator
= [tex]\frac{2(x+3)}{x+7}[/tex]
Match each equation with its solution
PLEASE HELPP ASAP!
Answer:
-5x = 26 is 5.2
x/2 = 4 is -8
3/2x=6 is 4
x/-7.2=4 is 28.8
Which number sentence is true? A. 12 < |-12| B. |-12| < |-48| C. |-48| < |48| D. |12| > |-48|
Step-by-step explanation:
B ) |-12| < |-48|
because the signs are not taken on to consideration if we write in |
so hence B is right option
MARK AS BRAINLIST IF IT IS USEFUL
3x (x - 2) = x^2 - 4
Answer:
x = 1, x = 2
Step-by-step explanation:
Given
3x(x - 2) = x² - 4 ← distribute parenthesis on left side
3x² - 6x = x² - 4 ( subtract x² - 4 from both sides )
2x² - 6x + 4 = 0 ( divide through by 2
x² - 3x + 2 = 0 ← in standard form
Consider the factors of the constant term (+ 2) which sum to give the coefficient of the x- term (- 3)
The factors are - 1 and - 2 , since
- 1 × - 2 = + 2 and - 1 - 2 = - 3 , then
(x - 1)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
x - 2 = 0 ⇒ x = 2
for what value of x does 4^x=(1/8)^x+5?
Use main properties of powers
(a^m)^n=a^{m\cdot n};(am)n=am⋅n;
\dfrac{1}{a^n}=a^{-n}an1=a−n
to simplify given equation.
1.
4^x=(2^2)^x=2^{2x}.4x=(22)x=22x.
2.
\left(\dfrac{1}{8}\right)^{x+5}=\left(\dfrac{1}{2^3}\right)^{x+5}=(2^{-3})^{x+5}=2^{-3x-15}.(81)x+5=(231)x+5=(2−3)x+5=2−3x−15.
3. Then the equation is
2^{2x}=2^{-3x-15}.22x=2−3x−15.
The bases are the same, so equate the powers:
2x=-3x-15,
2x+3x=-15,
5x=-15,
x=-3.
Answer: for x=-3.
Last one thanks to whoever helps
Answer:
see below
Step-by-step explanation:
take f(x)=5x-6, which is y=5x-6
switch the y for x and x for y and you get
x=5y-6
then add 6 on both sides and you get
x+6=5y
now divide both sides by 5 and you get
y=(x+6)/5
which is the inverse of the original function
Answer:
Solution given:
f(x)=5x-6
let f(x)=y
we get
y=5x-6
Interchanging role of x and y
x=5y-6
x+6=5y
y=[tex]\bold{\frac{x+6}{5}}[/tex]
so
f-¹=[tex]\bold{\frac{x+6}{5}}[/tex]
shown
Determine whether each of the following products is rational or irrational.
Expression
Rational
Irrational
77-18
-7,49
5
2
./II
Answer:
-irrational
-rational
-rational
-irrational
__________________________________________________________quick and easy way is to see if the squares are perfect squares, like square root seven is irrational, so the answer is irrational. square root 9 is 3, which is rational, so its rational.
brainliest is appreciated :)
If x = a sin teta and y = b cos teta
Find the value of b^2x^2+ a^2y^2
Plssss plsss helppp
[tex]\\ \sf\longmapsto b^2x^2+a^2y^2[/tex]
[tex]\\ \sf\longmapsto b^2(asin\Theta)^2+a^2(bcos\Theta)^2[/tex]
[tex]\\ \sf\longmapsto b^2a^2sin^2\Theta+a^2b^2cos^2\Theta[/tex]
[tex]\\ \sf\longmapsto a^2b^2(sin^2\Theta+cos^2Theta)[/tex]
[tex]\\ \sf\longmapsto a^2+b^2(1)[/tex]
[tex]\\ \sf\longmapsto a^2b^2[/tex]
An isosceles triangle with legs of 9 cm and a base of 10 cm in length has a median drawn from its vertex angle to its base. What is the length of this segment?
Answer: [tex]7.48\ cm[/tex]
Step-by-step explanation:
Given
The equal side of two isosceles triangle are [tex]9\ cm[/tex] long
Base of the triangle is [tex]10\ cm[/tex] long
Median divides the base into two equal halves
from the figure, it can be written
[tex]\Rightarrow 9^2=5^2+h^2\\\Rightarrow h^2=9^2-5^2\\\Rightarrow h=\sqrt{81-25}\\\Rightarrow h=\sqrt{56}\\\Rightarrow h=7.48\ cm[/tex]
The length of the segment is [tex]7.48\ cm[/tex]
Find the equation of the linear function represented by the table below in slope-intercept form.
Help plzz will give brainiest
Answer:
y = 2x+4
Step-by-step explanation:
First find the slope
m = ( y2-y1)/(x2-x1)
= ( 12-6)/(4-1)
= 6/3
= 2
The slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = 2x+b
Using a point from the table
10 = 2(3)+b
10 = 6+b
10-6 = b
4=b
y = 2x+4
CAN SOMEONE HELP PLEASE
Answer:
72
The result is rational because it can be written as the ratio of two integers and its decimal expansion can terminate or repeat.
Answered by GAUTHMATH
I need help to find Y =
Answer:
3
Step-by-step explanation:
show that the the product of the first two numbers 28,48 of that stem is equal to the product of their LCM and HCF
Answer:
HCF is 4
LCM is 336
Step-by-step explanation:
2/28 , 48
2/14 , 24
2/7 , 12
2/7 , 6
3/7 , 3
7/7 , 1
1 , 1
HCF is 2 × 2 =4
LCM is 2 × 2 × 2 × 2 × 3 × 7 = 336
Bret wants to take an advert out in a newspaper. The page has a length of 36cm. An advert will take 1/3 of the length of the page. Bret says the advert needs to be 11cm in length. Is Bret correct? Show your working out and state a clear answer.
Answer:
I don't think so
Step-by-step explanation:
the length of the newspaper page=36cm
the advert will take 1/3 of the page=1/3*36=12
so the advert takes12 cm and he says it has to be 11 cm which is not right .
I hope this helps
= X
20
100
60
Please help me
Answer:
x = 100
Step-by-step explanation:
(100-40)/2
= 60/2
= 30
So it's 100
Answered by GAUTHMATH
sin 0= 20/29. Find tan 0.
Answer: D) 20/21
Explanation:
Recall that sin(theta) = opposite/hypotenuse.
sin(theta) = 20/29 tells us that 20 is the vertical side while 29 is the hypotenuse. Note how the vertical side is opposite the reference angle theta.
Use these two sides to find that the missing side is 21. You'll need the pythagorean theorem a^2+b^2 = c^2.
Once you determine that the adjacent side is 21 units long, we can then say,
tan(theta) = opposite/adjacent = 20/21
Answer:
D. 20/21
Step-by-step explanation:
9. The ticket at right has a perimeter of 42 cm.
a) Calculate the unknown side length.
A = 42 - 11 x 2 = 20 / 4 = 5
b) Olivia wishes to decorate the ticket by placing a
gold line along the slanted sides. How long is the line on each ticket?
A =
c) A bottle of gold ink will supply enough ink to draw 20 m of line. How many bottles of ink should be purchased if 200 tickets are to be decorated?
A =
Perimeter simply represents the sum of all side lengths of a shape. The length of the missing side of the ticket is 5 cm; the length of gold line on each ticket is 20 cm, and 2 bottles of gold ink are required to draw gold lines on 200 tickets.
I've added the image of the ticket as an attachment.
(a) The missing side length
From the attachment, the 4 unknown side lengths are equal. Represent this side length with L.
So, we have:
[tex]Perimeter =2\times 11 + 4 \times L[/tex]
This gives
[tex]2\times11 + 4 \times L = 42[/tex]
[tex]22 + 4 \times L = 42[/tex]
Collect like terms
[tex]4 \times L = 42-22[/tex]
[tex]4 \times L = 20[/tex]
Divide both sides by 4
[tex]L =5cm[/tex]
(b) The length of the gold lines
There are 4 slant lines and the length of one of the slant lines is 5 cm (as calculated above).
So, the length of the gold line is:
[tex]Gold = 4 \times L[/tex]
[tex]Gold = 4 \times 5cm[/tex]
[tex]Gold = 20cm[/tex]
(c) The number of gold ink bottles.
[tex]n = 200[/tex] --- number of tickets
The length of all gold line in the 200 tickets is:
[tex]Length = 200 \times Gold[/tex]
[tex]Length = 200 \times 20cm[/tex]
[tex]Length = 4000 cm[/tex]
[tex]Length = 4000 \times 0.01m[/tex] ---- convert to meters
[tex]Length = 40m[/tex]
Given that:
[tex]Bottle = 20m[/tex] --- 1 bottle for 20 m
The number of bottles (n) is:
[tex]n = \frac{Length}{Bottles}[/tex]
[tex]n = \frac{40m}{20m}[/tex]
[tex]n = 2[/tex]
Hence, 2 bottles of gold ink are enough.
Read more about perimeters at:
https://brainly.com/question/6465134
3. Create and write a real-world situation that could be represented by the equation below:
5x + 15 = 45
Answer:
You ordered 5 tickets for a show on line...
The cost was $5 a ticket Plus a one time ordering fee of $15.
you total cost was $45 ....
Solving for x will determine the cost of one ticket
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
a taxi charges $5 a mile plus $15 "pull fee" ...
you ride cost a total of $45 ... x is the number of miles that you got driven
Step-by-step explanation:
You rent a car for a down payment of $15 and $5 is charged per mile driven. The total charge is therefore, $45. In essence, x is the no. of miles driven.
According to the question;
We are required to create a real-world problem that could be represented by the equation; 5x + 15 = 45.In essence, x is the no. of miles driven in this scenario.
By solving for x in 5x + 15 = 45, we may determine the no. of miles driven.
Read more:
https://brainly.com/question/2319353
Which value is the closet approximation of the square root of 27
A 4.5
B 5
C 5.5
D 5.9
c. The sum of two number is 59. If the Smaller number is less than the bigger one by 7,find the number.
Step-by-step explanation:
Hi there!
According to the question;
The sum of two number is 59. And the Smaller number is less than the bigger one by 7,
Let the bigger number be "X" then smaller number will be x-7.
Then;
x + (x-7) = 59
2x = 59+7
X = 66/2
Therefore, the bigger number (X) is 33 and smaller number (x-7) is 26.
Hope it helps!
Find the volume of this cone.
Use 3 for T.
12ft
12
5ft
V = Tr?
V [?]ft3
V
Answer:
V = 180 ft^3
Step-by-step explanation:
The volume of a cone is found by
V = 1/3 pi r^2 h where r is the radius and h is the height
The diameter is 12 so the radius is 1/2 the diameter or 1/2(12) = 6
The height is 5 and we are using 3 for pi
V = 1/3 (3) *6^2 *5
V = 180 ft^3
Please help me with this problem
Answer:
4x² - 5x - 8 = 0
Step-by-step explanation:
Standard form of a quadratic: ax² + bx + c
Move all terms to one side and sort them based on the level of degree:
[tex]4x^2-9x-8=-4x\\4x^2-9x+4x-8=0\\4x^2-5x-8=0[/tex]
Answer:
4x^2 -5x-8 =0
Step-by-step explanation:
ax^2 + bx + c = 0 is the standard form
4x^2 -9x-8 =-4x
Add 4x to each side
4x^2 -9x+4x-8 =-4x+4x
4x^2 -5x-8 =0
answer to this problem?
Answer:
The p is 4
Step-by-step explanation:
help pls I need answer to question (e)
Answer:
I assume you'd already figured out the other questions so you just don't understand the question E
Step-by-step explanation:
The product of the first 2 numbers its stating is -28 and 48, and it's asking if the product (multiply -28 by 48 to get the product) is equal to the HCF and LCM you got in the previous answer.
