Answer:
10a+3b÷c/3
Step-by-step explanation:
let the first number be a
second be b
third be c
10×a +3×b ÷c÷3
10a+3b÷c/3
=10a+3b÷c/3
solve:
2×+3=5
class 7th chapter simple equation
Answer:
x=1
Step-by-step explanation:
2x+3=5
2x=5-3
=2
x= 2÷2
= 1
Answer:
x = 1
Step-by-step explanation:
2x + 3 = 5
2x = 2
x = 1
If this helps you, please mark brainliest!
Have a nice day!
The sides of a triangle are 4, 7, and 10. The triangle is dilated by a scale factor of 3 to create a
new triangle. Find the perimeter of the new triangle.
A
21 units
B
63 units
30 units
D
25 units
Answer:
B 63 units
Step-by-step explanation:
Dilatation is an increase of shape , a larger imagine , the dilatation is 3 so times each side by three and add them all up
Someone found 100! And added up all its digits. Then, this person added up the digits of this sum. The process was continued until the sum was a one-digit number. What was that number?
What are the domain and range of f(x) = 2|x -4|?
plz i'm in need
Answer:
Domain: (-∞, ∞)
Range: [0, ∞)
Step-by-step explanation:
The domain represents what x can be. In this scenario, we do not have x as a denominator, and there is nothing limiting x, so its domain is (-∞, ∞)
The range represents what f(x) can be, Because |x-4| is in absolute value, the lowest |x-4| can be is 0, and as a result, the lowest value of 2|x-4| is 2*0=0. The maximum value of f(x) is ∞ as an absolute value does not limit the maximum, making the range [0, ∞)
Which of the following best describes the term postulate?
A. A statement that is not officially defined but that is understood to be common sense
B. A precise statement of the qualities of an idea, object, or process
C. A logical arrangement of deductions that leads to the conclusion that a statement is always true
D. A statement that is assumed to be true without proof
Answer:
D. A statement that is assumed to be true without proof
Step-by-step explanation:
Determine the equation of the line perpendicular to y = 1/5x – 7 and passes through the point (-3,6).
Answer:
y = -5x - 9
Step-by-step explanation:
y = -5x + b
6 = -5(-3) + b
6 = 15 + b
b = -9
Confused on how to solve this problem, please help and offer a step by step explanation
Answer:
7x+5=180
7x=175
x=25
Hope This Helps!!!
Please help!!
The slope of a line that passes through the points (-6, w) and (-10, 4) ls 1/8. What is the
value of w?
Answer:
[tex]\displaystyle w=\frac{9}{2}=4.5[/tex]
Step-by-step explanation:
We can use slope formula:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
So:
[tex]\displaystyle m=\frac{4-w}{-10-(-6)}=\frac{4-w}{-10+6}=\frac{4-w}{-4}[/tex]
We are given that this equals 1/8. Therefore:
[tex]\displaystyle \frac{4-w}{-4}=\frac{1}{8}[/tex]
Solve for w. Cross-multiply:
[tex]-4(1)=8(4-w)[/tex]
Distribute:
[tex]-4=32-8w[/tex]
Isolate:
[tex]-8w=-36[/tex]
So:
[tex]\displaystyle w=\frac{-36}{-8}=\frac{9}{2}=4.5[/tex]
\frac{(\sqrt{x} +1)^{2} +(\sqrt{x} -1)^{2} )}{(\sqrt{x} +1)(\sqrt{x} -1)} -\frac{3\sqrt{x} +1}{x-1}
Answer:
[tex]= \frac{2x-3\sqrt{x} }{x-1}[/tex]
Step-by-step explanation:
Given the expression
[tex]\frac{(\sqrt{x} +1)^{2} +(\sqrt{x} -1)^{2} )}{(\sqrt{x} +1)(\sqrt{x} -1)} -\frac{3\sqrt{x} +1}{x-1}[/tex]
Expand
[tex]\frac{(\sqrt{x} +1)^{2} +(\sqrt{x} -1)^{2} )}{(\sqrt{x} +1)(\sqrt{x} -1)} -\frac{3\sqrt{x} +1}{x-1}\\= \frac{x+2\sqrt{x}+1+(x-2\sqrt{x} +1) }{x-1}- \frac{3\sqrt{x} +1}{x-1}\\= \frac{2x+1}{x-1} - \frac{3\sqrt{x} +1}{x-1}\\= \frac{2x+1-(3\sqrt{x} +1)}{x-1}\\= \frac{2x-3\sqrt{x} +1-1}{x-1}\\= \frac{2x-3\sqrt{x} }{x-1}[/tex]
This gives the simplified form
If the inverse of a function is also a function, then
The function is said to be ….?
Answer: Invertible
Step-by-step explanation:
If inverse of a function exists, then the function is said to be invertible. A unique value exits for each given input.
Inverse of a function can be obtained by expressing the given function in terms of y and then replace y by x.
Name the marked angle in 2 different ways.
Answer:
∠XWV ∠UWV
Hope this helps! :)
b) Show that the points (1,1), (-1,-1) and ( -root3, root 3 ) are the vertices of an equilateral triangle.
Given:
The vertices of a triangle are [tex](1,1),(-1,-1),(-\sqrt{3},\sqrt{3})[/tex].
To prove:
The given vertices are the vertices of an equilateral triangle.
Solution:
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Let the vertices of the triangle are [tex]A(1,1),B(-1,-1),C(-\sqrt{3},\sqrt{3})[/tex]. Then, by using the distance formula, we get
[tex]AB=\sqrt{(-1-1)^2+(-1-1)^2}[/tex]
[tex]AB=\sqrt{(-2)^2+(-2)^2}[/tex]
[tex]AB=\sqrt{4+4}[/tex]
[tex]AB=\sqrt{8}[/tex]
Similarly,
[tex]BC=\sqrt{(-\sqrt{3}-(-1))^2+(\sqrt{3}-(-1))^2}[/tex]
[tex]BC=\sqrt{(1-\sqrt{3})^2+(1+\sqrt{3})^2}[/tex]
[tex]BC=\sqrt{(1)^2+(\sqrt{3})^2-2\sqrt{3}+(1)^2+(\sqrt{3})^2+2\sqrt{3}}[/tex]
[tex]BC=\sqrt{1+3+1+3}[/tex]
[tex]BC=\sqrt{8}[/tex]
And,
[tex]CA=\sqrt{(1-(-\sqrt{3}))^2+(1-\sqrt{3})^2}[/tex]
[tex]CA=\sqrt{(1+\sqrt{3}))^2+(1-\sqrt{3})^2}[/tex]
[tex]CA=\sqrt{(1)^2+(\sqrt{3})^2+2\sqrt{3}+(1)^2+(\sqrt{3})^2-2\sqrt{3}}[/tex]
[tex]CA=\sqrt{1+3+1+3}[/tex]
[tex]CA=\sqrt{8}[/tex]
Clearly, [tex]AB=BC=CA[/tex].
Since all sides of the given triangle are equal, therefore the given vertices are the vertices of an equilateral triangle.
Hence proved.
Help needed!! Please help me solve my problem!!!
96/2= 48
given figure is a square.the line is bisect the angel
thank you
The 89 bus comes every 8 minutes. The 368 bus comes every 12 minutes. Both buses are at the same stop at 9 am. At what time will they be at the same stop.
Answer:
9:24 am
Step-by-step explanation:
89 bus = 8 minutes
368 bus = 12 minutes
Find the lowest common multiple(L.C.M) of 8 minutes and 12 minutes
8 minutes = 16, 24, 32, 40, 48
12 minutes = 24, 36, 48, 60
The L.C.M of 8 minutes and 12 minutes is 24 minutes
Both buses are at the same stop at 9 am.
The next time both buses will be at the same stand = 9 am + 24 minutes
= 9:24 am
How to do long division
Answer:
if you wanna do long division you have to simply just follow a procedure that is nice and easy so long division method is mainly need to find the square of a number with out using the prime factorization method the procedure is consisting of these of two steps
Obtain the number whose square root is to be computedplace bars every pair of digits starting with the unit digits .Also place a bar on one digit if any not forming a on the extreme left. each pair and the remaining one digit (if any) on the extreme left is called a period think of the largest number whose square is less than or equal to the first period . if this number as the divisor and the quotient put the question above the period and write the product of divisor and question just below the first period.subtract the product of divisor and quotient from the first period and bring down the next point to the right of the remainder this becomes the next dividend.double the question as it appears and enter It to the blank on the right for the next digits, as the next possible divisor.think of a digit to fill the blank in step 6 in such a way that the product of new divisor and its digit is equal to or just less than the new dividend obtained in the step 5 .subtract the product of the digits chosen in steps 7 and the new division from the dividend obtained in step 5 and bring down the next period to the right of the remainder of this becomes new dividend .repeat the steps 5 6 and 7 till all the periods have been taken up .obtain the quotient as a square root of the given number .Hope it helps
For EASY BRAINLIEST!!!
Answer 6. 7. 8. 9. !!
Please help I’m going to fail!
Answer:
Step-by-step explanation: 6 29 7 42
6) a number x increased by -18
x + (-18)
or x - 18
7) x subtracted from its reciprocal
1/x - x
8) two numbers have the sum of 11, one number is q find the other
x + q = 11
x + q - q = 11 - q q - q = 0
x + 0 = 11 - q
x = 11 - q
9) six is added to 4 times a number equals 42, find the number
( I don't know the six steps discussed in class. This is how I would do it)
6 + 4x = 42
6 - 6 + 4x = 42 - 6 isolate the variable, - 6 from both sides
0 + 4x = 36 6 - 6 = 0, 43 - 6 = 36, solve for x
4x/4 = 36/4 divide both sides by 4
1x = 36 /4 4/4 = 1
x = 9
How much would $600 be worth after 10 years, if it were invested at 4% interest compounded continuously? (Use the formula below and round your answer to the nearest cent.) A(t) = P▪︎e^rt
Answer:
600[tex]e^{10*.04}[/tex]
$895.09
Step-by-step explanation:
Factorx^2 + x - 6, asappp
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: ( \: x - 2 \: )( \: x + 3 \: )}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] {x}^{2} + x - 6[/tex]
➼[tex] \: {x}^{2} + 3x - 2x - 6[/tex]
Taking [tex]x[/tex] as common from first two terms and 2 from last two terms, we have
➼[tex] \: x \: ( \: x + 3 \: ) - 2 \: ( \: x + 3 \: )[/tex]
Taking the factor [tex](x+3)[/tex] as common,
➼[tex] \: ( \: x - 2 \: )( \: x + 3 \: )[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
A 16 ft ladder leans against the side of a house the top of the ladder is 15 Ft off the ground find x the angle of elevation of the ladder round your answer to the nearest tenth of a degree
Answer:
Step-by-step explanation:
Find the equation of the line that passes through (–3, 2) and the intersection of the lines x–2y=0 and 3x+y+5=0.
I need the intersection point of the lines and the equation of the line.
Answer:
[tex]\frac{19}{7}[/tex]x+[tex]\frac{11}{7}[/tex]y+5=0
Step-by-step explanation:
the intersection of x-2y=0 and 3x+y+5 is ([tex]\frac{-10}{7}[/tex];[tex]\frac{-5}{7}[/tex])
=> the line : [tex]\frac{19}{7}[/tex]x+[tex]\frac{11}{7}[/tex]y+5=0
Answer:
[tex]Point \ of \ intersection = (\frac{-10}{7} , \frac{-5}{7})\\\\Equation \ of \ line : y = -\frac{19}{11}x - \frac{35}{11}[/tex]
Step-by-step explanation:
Find intersection of the given lines :
x - 2y = 0 => x = 2y ----------- ( 1 )
3x + y = - 5 -------------------- ( 2 )
Substitute ( 1 ) in ( 2 ) :
3x + y = - 5
3 ( 2y ) + y = - 5
6y + y = - 5
7y = - 5
[tex]y = -\frac{5}{7}[/tex]
Substitute y in ( 1 ) :
x = 2y
[tex]x = 2 \times \frac{-5}{7} = - \frac{10}{7}[/tex]
[tex]Therefore , \ point \ of \ intersection\ is ( -\frac{10}{7}, -\frac{5}{7} )[/tex]
To find the equation of the line passing through ( - 3, 2) and point of intersection :
Standard equation of a line : y = mx + b , where m is the slope, b is the y intercept.
So step 1 : Find slope , m:
[tex]slope, m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] [tex][ \ where \ (x_1, y_ 1 ) = ( -3, 2 ) \ and \ (x_2, y_ 2 ) = ( \frac{-10}{7} , \frac{-5}{7}) \ ][/tex]
[tex]= \frac{\frac{-5}{7}-(2)}{\frac{-10}{7} - (-3)}\\\\= \frac{-5- 14}{-10 + 21}\\\\=\frac{-19}{11}\\\\=-\frac{19}{11}[/tex]
Step 2 : Equation of the line :
[tex](y - y _1) = m (x - x_1)\\[/tex]
[tex](y - 2 ) = -\frac{19}{11}(x -( -3))\\\\(y - 2 ) = -\frac{19}{11} (x+ 3)\\\\y = -\frac{19}{11} (x+ 3) + 2\\\\ y = -\frac{19}{11}x +(-\frac{19}{11} \times 3) + 2\\\\y= - \frac{19}[11}x +(\frac{-57}{11} + 2)\\\\y= - \frac{19}{11}x +(\frac{-57+ 22}{11})\\\\y= - \frac{19}{11}x +(\frac{-35}{11})\\\\[/tex]
HELP
Find the circumference of this circle
using 3 for T.
C [?]
Answer:
3
Step-by-step explanation:
3
Can someone help me?It's urgent and thank you!
Answer:
the first option
Step-by-step explanation:
because x^3 is exponential while ab^2 is linear
-BRAINLIEST IF ANSWERED RIGHT-
Given the equation
5+x−12=x−7:
Part A. Solve the equation
5+x−12=x−7. In your final answer, be sure to state the solution and include all of your work.
Part B. Use the values
x=−4,0,5 to verify your solution to the equation
5+x−12=x−7.
In your final answer, include all of your calculations.
Answer:
Part A:
[tex]x\in \mathbb{R}[/tex] ([tex]x[/tex] is equal to all real numbers)
Part B:
[tex]5+(-4)-12=-4-7,\\-11=-11\:\checkmark,\\\\5+0-12=0-7,\\-7=-7\:\checkmark,\\\\5+5-12=5-7,\\-2=-2\:\checkmark[/tex]
Step-by-step explanation:
Part A:
Given [tex]5+x-12=x-7[/tex], combine like terms:
[tex]x-7=x-7[/tex]
Add 7 to both sides:
[tex]x=x[/tex]
Since this is merely a true statement for all real numbers (reflexive property), this equation is true for any real value of [tex]x[/tex].
Therefore,
[tex]x\in \mathbb{R}[/tex] ([tex]x[/tex] is equal to all real numbers).
Part B:
Using arbitrary values [tex]x=-4, x=0, x=5[/tex] as requested in part B, verify:
[tex]5+(-4)-12=-4-7,\\-11=-11\:\checkmark,\\\\5+0-12=0-7,\\-7=-7\:\checkmark,\\\\5+5-12=5-7,\\-2=-2\:\checkmark[/tex]
m^(2)-n^(2)+6n-9
Please factor this out completely and help me
Answer:
m^2-n^2+6n-9
m^2-6n^2-9
In the decimal number 3.105, the digit in the hundredths place is a 5?
True
False
Answer:
False cuase 5 is in thousands
A rectangular cube of volume 8000cm3 has
length= 4x
width = 2x
Height= 1x
Find it's length, width and height.
Answer:
volumn= l*b*h
4x*2x*1x= 8000 cm3
8x= 8000 cm3
x= 1000cm3
length = 4000
breadth= 2000
height = 1000
Find the quotient.the fraction
8 1/3 divided by 4 1/2
Answer:
[tex]8 \frac{1}{3} \div 4 \frac{1}{2} = \frac{50}{27} = 1.851 = 1 \frac{23}{27} [/tex]
chung minh phan so sau toi gian : 21n+4/14n+3
Step-by-step explanation:
Cog, KY tj, kyzkysiyso6doydi6wkyx co70 kysu5, 5i
Identify the relationship (complementary, linear pair/supplementary, or vertical) and find the measure of angle b in the image below
Answer:
Relationship: supplementary
B = 110
Step-by-step explanation:
The two angles shown form straight line
Angles that form a straight line add up to equal 180. Angles that add up to 180 are known as supplementary angles
If the angles add up to equal 180 then b + 70 = 180
Subtract 70 from both sides
b = 110
Will give BRAINLIEST to the correct answer.
Use a calculator. Round to the nearest tenth of a degree.
Given cos 0 = 0.9326, find 0.
