Answers
[tex]\:\:\:\:\:\:\:\:\:\:\therefore\bf{x=3\:and\:y=1}[/tex]
Solution
[tex]\:\:\:\bf{(2^{x+y},\:3^{x-y})=(16,9)}[/tex]
[tex]\sf{Here,}[/tex]
[tex]\:\:\:\star\tt{\:\:2^{x+y}=16\:and\:3^{x-y}=9}[/tex]
[tex]\sf{Solving,}[/tex]
[tex]\:\:\:\implies\tt{\:\:2^{x+y}=16}[/tex]
[tex]\:\:\:\implies\tt{\:\:2^{x+y}=2^4}[/tex]
[tex]\:\:\:\implies\tt{\:\:x+y=4}[/tex]
[tex]\:\:\:\bf{\:\:x=4-y-----(i)}[/tex]
[tex]\sf{Solving,}[/tex]
[tex]\:\:\:\implies\tt{\:\:3^{x-y}=9}[/tex]
[tex]\:\:\:\implies\tt{\:\:3^{x-y}=3^2}[/tex]
[tex]\:\:\:\bf{\:\:x-y=2-----(ii)}[/tex]
[tex]\sf{Putting\:the\:value\:of\:(i)\:in\:(ii),}[/tex]
[tex]\:\:\:\implies\tt{\:\:4-y-y=2}[/tex]
[tex]\:\:\:\implies\tt{\:\:4-2y=2}[/tex]
[tex]\:\:\:\implies\tt{\:\:-2y=2-4}[/tex]
[tex]\:\:\:\implies\tt{\:\:\cancel{-}2y=\cancel{-}2}[/tex]
[tex]\:\:\:\implies\tt{\:\:y=\frac{\cancel{2}}{\cancel{2}}}[/tex]
[tex]\:\:\:\bf{\:\:y = 1}[/tex]
[tex]\sf{Putting\:y = 1\:in\:(i),}[/tex]
[tex]\:\:\:\implies\tt{\:\:x=4-1}[/tex]
[tex]\:\:\:\bf{\:\:x = 3}[/tex]
[tex]\:\:[/tex]
Related Questions
Help me please you will get 20
Answers
Answer:
3 pounds
1p+1p+1p=3p
Step-by-step explanation: 4p +2j +2j +2j =10pounds which is more than 8p
Richard tosses a ball into the altThe function b(t) = - 5t ^ 2 + 10t + 6 the the ball itDoes the a height of 12 m?
Answers
Answer:Nope
Step-by-step explanation:
The equation, b(t) = - 5t ^ 2 + 10t + 6, is a parabola with a vertex. We must find whether that vertex is equal to or exceeds 12m. One can graph the equation and find that the vertex is at (1,11), below the 12. It cannot reach 12 meters.
[One may also differentiate the equation and set it equal to zero (the point at which the slope of the parabola is zero, which will be at the vertex as it begins downward)].
Find the equation in slope-intercept form of the line parallel to y = 4x + 23 and passes through the point (2,3).
Answers
Answer: y=4x-5
Step-by-step explanation:
The slope of y=4x+23 is:4 m=4
The parallel line needs to have the same slope of 4
Solve it using the "point-slope" equation of a line: y− y1 = 2(x − x1)
substitute or put in the point (2,3):
y − (3) = 4(x − 2)
y - 3 = 4x - 8
put it in slope intercept form y = mx + b
y = 4x − 5
HELP!!! Complete the function for this graph.
Answers
If three dice are rolled, what chance is there
of throwing a total of 18?
Answers
Answer:
1/216
Step-by-step explanation:
1/6 times 1/6 times 1/6
or 6^-3
Answer:
Step-by-step explanation:
There is only 1 way you can throw 18 with 3 dice. There are 6 * 6 * 6 = 216 ways of throwing 3 dice. Only 1 will give you 18. So the answer is 1/216
Вычислите значение выражения наиболее удобным способом:
-3,2*2 11/18+ 3,2*3 13/18- 3,2*7/18=
Answers
Answer:
Idiosyncratic apricot
What can divided 36 and 99
Answers
Step-by-step explanation:
GCF of 36 and 99 is the largest possible number that divides 36 and 99 exactly without any remainder. The factors of 36 and 99 are 1, 2, 3, 4, 6, 9, 12, 18, 36 and 1, 3, 9, 11, 33, 99 respectively.
I was going to just say the answer was 3 but the other person put multiple answers.So they have the correct answer.Good job!
What is the answer, I need help.
Answers
Answer: i think is D
Step-by-step explanation:
Help! How to factorise= x²-5x+6?!!!!!!
Answers
Answer:
(x − 2)(x − 3)
Step-by-step explanation:
x² - 5x + 6
(x − 2)(x − 3)
Helpppp??? Plzzzz???
Answers
Help me solve this please
Answers
Answer:
translation
Step-by-step explanation:
translation move with same shape and size
Answer:
translation
Step-by-step explanation:
move the same ship and size
sin^2020(x)+cos^2020(x)=1
Answers
Answer:
so this is really simpel x=1 thats it
Step-by-step explanation:\sin ^2\left(20^{\circ \:}\right)\left(x\right)+\cos ^2\left(20^{\circ \:}\right)\left(x\right)=1 \sin ^2\left(20^{\circ \:}\right)x+\cos ^2\left(20^{\circ \:}\right)x=1
Pls help me with this question!!!!
Answers
Answer:
The answer is A
Step-by-step explanation:
In how many ways can 5 people sit in 5 chairs if Frankie and johnny want to sit next to each other.
Answers
Answer:
24
Step-by-step explanation:
plz mark brainly
Mr.cayanan bought 4 bottles of honey each contained 1.25 liters how many liters of honey she prepared?
Answers
Answer:
the answer Is 5
Step-by-step explanation:
1.25 × 4 = 5
Convert the following.
15, 000 m² =________hectare
2.5 hectares =_______m²
Answers
Answer:
15,000 m²= 1.5 hectares
2.5 hectares= 25, 000 m²
Step-by-step explanation:
Sana makatulong
Describe and correct the error in evaluating the expression. -10^2 = 100
Answers
Answer:
-10² = -100
Step-by-step explanation:
The error in the evaluation occurred when the negative base (which is -10) was squared altogether outside of the parenthesis. (-10²) still results in -100.
The only time that the result will produce a positive 100 is when you square -10 this way: (-10)² = 100 because the negative sign is included with the squaring of base through the parenthesis.
Hope this helps.
A power in mathematics is defined as the exponent to which a whole number is raised.
There is no error in evaluating the expression because [tex]-10^{2} = 100[/tex]
When multiplying two negative numbers, their negative signs tend to cancel out
-a x - a = [tex]a^{2}[/tex]
The power for a is given as 2
To solve the above question:
[tex]-10^{2}[/tex]
This can be written as:
-10 x -10
= 100
Therefore, there was no error in the evaluation of the expression.
because [tex]-10^{2} = 100[/tex]
To learn more, visit the link below:
https://brainly.com/question/10698135
(5x-7y)-(2x+y) expression thats equivalent plzzzzzz help fast
Answers
Answer:
(3x-8y) is equivalent
Step-by-step explanation:
Answer:
[tex](5x - 7y) - (2x + y) \\ 5x - 7y - 2x - y \\ collecting \: like \: terms \: \\ 5x - 2x - 7y - y \\ 3x - 8y[/tex]
Skylar is going to drive from her house to City A without stopping. An equation that determines Skylar's distance from City A tt hours after leaving her house is D=120-30t. What is the x-intercept of the equation and what is its interpretation in the context of the problem?
Answers
Answer:
The x-intercept of the function is 4 which represents the total time of the trip, in hours.
Step-by-step explanation:
Since Skylar was a distance of 0 miles from City A after 4 hours, the x-intercept of 4 represents how many hours it took Skylar to drive from her house to City A.
Have a good day :)
The x- intercept is 4 hours.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δxwhere,m is the slope
Given:
D=120-30t.
According to slope - intercept form
y= mx+ b
where m is the slope and b is the y intercept.
So, the x-intercept
0= 120- 30t
t= -120/ (-30)
t= 4
Hence, the x- intercept is 4 hours.
Learn more about slope here:
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Write 10 9 as a decimal. Round to the nearest thousandth if necessary.
Answers
Answer:
If you mean 10/9 then the answer should be 1.1 repeating itself
Step-by-step explanation:
Answer:
1.111
Step-by-step explanation:
10/9 = 1.111
( i rounded 10/9 to a decimal)
am not 100% about this but hope it help
Write x > 6 in interval notation.
Answers
Answer:
x > 6 in interval notation is: (6, ∞)
NOTE:
Interval notation is a way to represent an interval as a set of numbers. The numbers are the endpoints of the interval.
-----
Build the interval notation for x:
Since you did not enter an equal sign, this translates to ( since we will not be including the number 6
Based on the > you entered, the right side of the interval notation will extend to positive infinity, which is denoted as +∞
(6,+∞)----- (answer)
Set Builder Notation for x:
{ x | x>6 } where | denotes such that
Display the literal representation for x
7,8,9,10,11,12,13,14,15,16,...,∞
Twenty-eight slices of pizza cost $12. Approximately how much would 70 slices cost?
Answers
Answer:
$30.
Step-by-step explanation:
70/28 = 2.5
12 x 2.5 = 30
What is the midpoint of a line with endpoints (6,5) and (14,7), (Your answer
should be an ordered pair)
Answers
Answer:
Midpoint = (10,6)
Step-by-step explanation:
Using Coordinates: X(6,5) and Y(14,7)
Using the midpoint formula: M = (X1 +Y1)/2, (X2 + Y2)/2
Midpoint of XY = (6 + 14) / 2, (5 + 7) / 2
Midpoint of XY = (20) / 2, (12) / 2
Therefore the midpoint of XY is (10,6)
The points (2, 10) and (0, 4) fall on a particular line. What is its equation in slope-intercept form?
Answers
Answer:
slope=x^2-x^1/y^2-y^1
this is the formula.
ASAP!!!!Batman's age is 4 more than twice Robin's age when you add batman's age to Robin's age you get 58 how old is Batman and robin a.use x represent Robin's age write an equation that represents the situation b.solve the equation from part (a).show your work state your solution as a complete sentence.
Answers
Answer:
56is shjdns djdndjsndnskdvdjdnshdkd
help me with this:(((
Answers
Answer:
3
Step-by-step explanation:
h(x)=-x-1h(x)=−x−1, find h(-2)h(−2)
Answers
[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]
Given function :
[tex]h(x) = - x - 1[/tex]we have to find h(-2) :
[tex]h( - 2) = - ( - 2) - 1[/tex][tex]h( - 2) = 2 - 1[/tex][tex]h ( - 2) = 1[/tex]325.623 rounded to nearest hundredth
Answers
Answer:
325.62
Step-by-step explanation:
Find the number in the hundredth place 2 and look one place to the right for the rounding digit 3. Round up if this number is greater than or equal to 5 and round down if it is less than 5 .
When your rounding you look at the number next to the number your rounding to. For example: 325.623 the hundredths place is the 2 so the number next to it is 3.
When your rounding there is a saying ( there r different ways of saying it this is the way I was taught) 5 or more raise the score. 4 or less let it rest. Meaning if it’s 5 or more raise the number one level up ( 5 goes to 6, 6 goes to 7, 7 goes to 8, 9 goes to 10). If it’s 4 or less take away the numbers behind the number your rounding to. ( Example: 45.6478 if we r rounding to the nearest tenth we look at the 4 it’s 4 or less so it would be 45.6).
So 3 is less than 4 so we take away the numbers behind the 2 therefore we get or answer 325.62
Hope I didn’t bore you and hope this helps. :)
Find the L.C.M and H.C.F of: a. 432 and 486
Answers
Answer:
L.C.M of 432 and 486: 3888
H.C.F of 432 and 486: 54
Step-by-step explanation:
find the width of radius r if the width w of the shaded region is 2cm and its area is 176cm^2, use 22/7 for pi (its a full circle)
Answers
The area of a shape is the amount of space it can occupy.
The value of r is 13
From the question (see attachment), we have:
[tex]\mathbf{A =176}[/tex] --- area of the shaded region
[tex]\mathbf{w = 2}[/tex] --- the width of the shaded region
The area of the complete circle would be:
[tex]\mathbf{A_1 =\pi (r + w)^2}[/tex]
The area of the small circle is:
[tex]\mathbf{A_2 =\pi r^2}[/tex]
So, the area of the shaded region is:
[tex]\mathbf{A = A_1 - A_2}[/tex]
Substitute known values
[tex]\mathbf{176 =\pi (r + w)^2 - \pi r^2 }[/tex]
Substitute 2 for w
[tex]\mathbf{176 =\pi (r + 2)^2 - \pi r^2 }[/tex]
Expand
[tex]\mathbf{176 =\pi (r^2 + 4r + 4) - \pi r^2 }[/tex]
Open brackets
[tex]\mathbf{176 =\pi r^2 + 4\pi r + 4\pi - \pi r^2 }[/tex]
Cancel out line terms
[tex]\mathbf{176 =4\pi r + 4\pi }[/tex]
Divide through by 4
[tex]\mathbf{44 =\pi r + \pi }[/tex]
Factor out pi
[tex]\mathbf{44 =\pi(r+ 1) }[/tex]
Divide through by pi
[tex]\mathbf{r + 1= \frac{44}{ \pi} }[/tex]
Substitute 22/7 for pi
[tex]\mathbf{r + 1= \frac{44}{ 22/7} }[/tex]
Using a calculator, we have
[tex]\mathbf{r + 1= 14}[/tex]
Solve for r
[tex]\mathbf{r= 14 -1}[/tex]
[tex]\mathbf{r= 13}[/tex]
Hence, the value of r is 13
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