Answers
[tex]y = \frac{x}{2} [/tex]
[tex]2x + 2y = \sqrt{180} \\ = > 2x + 2( \frac{x}{2} ) = \sqrt{180} \\ = > 2x + x = \sqrt{2 \times 2 \times 3 \times 3 \times 5} \\ = > 3x = 2 \times 3\sqrt{5} \\ = > 3x = 6 \sqrt{5} \\ = > x = \frac{6 \sqrt{5} }{3} \\ = > x = 2 \sqrt{5} [/tex]
[tex]x.y \\ = x \times \frac{x}{2} \\ = \frac{ {x}^{2} }{2} \\ = \frac{ {(2 \sqrt{5} )}^{2} }{2} \\ = \frac{4 \times 5}{2} \\ = \frac{20}{2} \\ = 10[/tex]
Answer:
10
Hope you could get an idea from here.
Doubt clarification - use comment section.
Answer:
b
Step-by-step explanation:
Given
2x + 2y = [tex]\sqrt{180}[/tex] = [tex]\sqrt{36(5)}[/tex] = 6[tex]\sqrt{5}[/tex]
and y = [tex]\frac{x}{2}[/tex] , then
2x + (2 × [tex]\frac{x}{2}[/tex] ) = 6[tex]\sqrt{5}[/tex]
2x + x = 6[tex]\sqrt{5}[/tex]
3x = 6[tex]\sqrt{5}[/tex] ( divide both sides by 3 )
x = 2[tex]\sqrt{5}[/tex]
and y = [tex]\frac{2\sqrt{5} }{2}[/tex] = [tex]\sqrt{5}[/tex]
Then
xy = 2[tex]\sqrt{5}[/tex] × [tex]\sqrt{5}[/tex] = 2 × 5 = 10 → b
Related Questions
if x is reduced by 25%. the result will be
Answers
[tex]\huge\color{skyblue}\boxed{\colorbox{black}{Answer♡}}[/tex]
[tex]a \: number \: x \: is \: reduced \: by \: 25\%[/tex]
[tex]25\% \: of \: x \: means \: ( \frac{25}{100} )(x) = 0.25x \\ \\=> x - 0.25x \\ = > 0.75x[/tex]
hope helpful~
The reduced quantity if x is reduced by 25% is 0.75x.
What is percentage?A percentage, often known as percent, is a division by 100. Percentage, which means "per 100," designates a portion of a total sum. 45 out of 100 is represented by 45%, for instance. Finding the percentage of a whole in terms of 100 is what percentage calculation is. Both manual calculation and the use of internet calculators are options.
Given:
x is reduced by 25%,
Calculate the 25% of x as shown below,
25 / 100 × x
0.25x
Calculate the reduced quantity,
Reduced quantity = x - 0.25x
Reduced quantity = x(1 - 0.25)
Reduced quantity = 0.75x
To know more about percentages:
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6 O
Which function is graphed on the coordinate plane below?
Ty
x
f(x) = 2x - 6
Of(x) = 2x + 6
f(x) = -2x + 6
Mark this and retum
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Answers
Step-by-step explanation:
we don't see all possible answer options.
but it does not matter.
the line is clearly
y = 2x - 6
why ?
the slope is always the factor of x.
and the slope is defined as ratio of "y coordinate change / x coordinate change".
and we can clearly see, for every change in x by +1, y changes by +2. zu, the slope is 2/1 = 2.
and when x = 0, the graph shows us the y-intercept with y = -6.
hence the above mentioned equation.
The Function is graphed on the coordinate plane is y= 2x- 6.
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/Δx where, m is the slope
We have points from the graph as (3, 0) and (0, -6).
So, the slope of line is
slope= (-6 -0)/ (0-3)
slope = -6/ (-3)
slope= 2
Now, using the slope intercept form
y= mx + b
y= 2x + b
Now, put x= 3 and y= 0 we get
0= 6 + b
b = -6
So, the required function is
y= 2x - 6.
Learn more about Slope here:
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Please Help Me please
Answers
Answer:
the 3 one
Step-by-step explanation:
Help find initial value for graph PLSSSSSS the dotted points are (0,8) and (16,20)
Answers
Answer:8
Step-by-step explanation:
The initial value, or y-intercept, is the output value when the input of a linear function is zero, as you've already pointed out, the function crosses the y- axis at (0,8)
pls help this a math question. image below
Answers
Answer:
D
Step-by-step explanation:
Same X, but different Y value, it is five apart in D
True or False. If true, give a convincing argument. If false, explain why it is false. Be sure to use mathematical language in your explanation.
As an airplane flies toward you, its angle of elevation increases.
Answers
Answer:
True.
Step-by-step explanation:
We assume that the plane is flying at a constant height above the ground.
The angle of elevation is the angle made between the plane, you and the point on the ground directly below the plane. As the plane approaches you the distance between you and the point on the ground decreases and therefore the angle of elevation increases.
Solve for x.
-8 =X/4
Answers
x = −32
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Select the equation that contains the points (-1, -8) and (3, 4).
Answers
Is this the right question
Answers
Answer:
no, ssa is the incorrect one
If b = the number of boys, which algebraic expression represents the phrase
below?
the sum of the number of boys and 15 girls
A. b + 15
B. b. 15
C. b - 15
D.
b
15
Answers
Answer:
A. b + 15Step-by-step explanation:
b = the number of boys, substitute below:
The sum of the number of boys and 15 girls → The sum of b and 15 → b + 15Correct choice is A
How to solve the function problem for this one?
Answers
Answer:
a. f(12) = - 1
b. x = 27 when f(x) = 4
Step-by-step explanation:
We are given that [tex]f(x)=\frac{1}{3} x-5[/tex] and we want to find f(12) and f(x) = 4
To find f(12) we simply plug in 12 into x and evaluate it
[tex]f(x)=\frac{1}{3} x-5[/tex]
plug in 12
[tex]f(12)=\frac{1}{3} (12)-5[/tex]
multiply 12 and 1/3 to get 4
[tex]f(12)=4-5[/tex]
subtract 5 from 4 to get -1
[tex]f(12)=-1[/tex]
Now we want to find the value of x when f(x) = 4
To do this we substitute 4 for f(x) and solve for x
[tex]f(x)=\frac{1}{3} x-5[/tex]
substitute 4 for f(x) and solve for x
[tex]4=\frac{1}{3}x -5[/tex]
add 5 to both sides
[tex]9=\frac{1}{3} x[/tex]
multiply both sides by 3
27 = x
And we are done.
So f(12) = -1 and x = 27 when f(x) = 4
For a plug in 12 for x:
f(12) = 1/3(12)-5
f(12) = 4-5
f(12) = -1
For b plug in 4 for x:
f(4) = 1/3(4)-5
f(4) = 4/3 -5
f(4) = 0.75-5
f(4)= -4.25
How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!
Answers
Answer:
It is the first one.
Write your own formula. List the first 4 terms and solve for the 10th term using the formula.
Answers
Answer:
Below
Step-by-step explanation:
Formula for an arithmetic sequence is an = 4n - 5
First 4 terms are
-1, 3, 7, 11.
10th term = 4(10) - 5
= 35.
What is the approximate value of b?
Answers
Using the Pythagoras theorem, we can work out that b must be equal to the square root of 58, which is approximately 7.6
the given cube has a mass of 173 grams, what is it’s density
Answers
Answer:
I think the density is 4cm.
Hope that helps you.
Step-by-step explanation:
what is 72=2x+16x
please please helppppp meeee
Answers
Answer:
x = 4
Step-by-step explanation:
72 = 2x + 16x , that is
72 = 18x ( divide both sides by 18 )
4 = x
Answer:
x=4
Step-by-step explanation:
72=18x
72/18=4
x=4
549.5 to 1 decimal place
Answers
Answer:
It is still 549.5
Step-by-step explanation:
Rounding to 1 decimal place is just rounding by the tenth place
So it is still 549.5
Hope this helps!
help pls will give brainliest
Answers
Answer:
$100-5(15) aka $25 still owed
In Need of help please Help :c
Answers
Answer:
proportional: A, B, D, G, Inon-proportional: C, E, F, HStep-by-step explanation:
Any relation with a non-zero initial value or y-intercept is non-proportional. Any relation that has a constant ratio between output and input is proportional.
C has an initial value of 7
E has a y-intercept of -3
F has an initial value of 2.00
H has an initial value of 5
All of these are non-proportional. The remainder are proportional.
How do I solve this problem?
Answers
This is a function?
O True
O False
Answers
Answer:
true
Step-by-step explanation:im not really sure
In a relation y = 2t + 1, what is the value of y if t = 7
Answers
Answer:
If t = 7, y = 16
Step-by-step explanation:
y = 2t + 1
y = 2(7) + 1
y = 14 + 1
y = 15
0.12 to the nearest tenth
Answers
Answer:
0.1
Step-by-step explanation:
hope this helps
Answer: 0.1 / 0.10
Step-by-step explanation:
since the 2 is lower than 5 - it turns into 0
hope this helped ! :>
A drilling team detected water 38 feet below the ground. If it took workers 8 days to be able to dig and pull up the water, how much did they dig each day on average? Form an equation
Answers
Answer: 38 divided by 8 which would equal 4.75 or 4 3/4 feet each day.
Step-by-step explanation: You divide the amount of total feet by the amount of days it took.
simplify the quotient. Write the answer in sn.
Answers
Answer:
2.4*10^4
Step-by-step explanation:
write in scientific notation
first i would simplify the 3.6/1.5
=2.4
then you get (2.4*10^7)/10^3
formula: (m^x)/(m^y)= m^(x-y)
(2.4*10^7)/10^3
=2.4*10^(7-3)/1
=2.4*10^4
If 5/3 liters of water is enough to water ⅕ of your yard, 5 3 how much water is needed to water the entire yard?
Answers
Answer:
8 1/3 liters
Step-by-step explanation:
create a proportion from water : yard
let 'y' = water for entire yard
5/3 ÷ 1/5 = y ÷ 5/5
5/3 · 5/1 = y/1
25/3 = y/1
3y = 25
y = 8 1/3
Plz help me with this
Answers
Answer:
sorry cant see the question
Step-by-step explanation:
The areas of two similar
squares are 16 m2 and 49 m2.
What is the scale factor of
their side lengths?
[?]:[ ]
Answers
Take the square root of each square to get the side lengths
4*4=16
7*7=49
Answer:
4:7
Step-by-step explanation:
We know that
Area of square = s²
For square 1
16 = s²
√16 = s
4 = s
For square 2
49 = s²
√49 = s
7 = s
Scale factor = 4:7
Anthony is gathering workout clothes. There are 4 pairs of running shoes and 10 workout shirts to choose from. How many different workout outfits can Anthony make?
Answers
Answer:
40
Step-by-step explanation:
It would be appreciated if there could be an explanation along the answer
Answers
Answer:
i think probably 80°
Step-by-step explanation:
PQ = RS
2x+3 = 4x-3
x = 3
PTQ = RTS
9y-3x-1 = 5x+7y-5
2y-8x = -4
y-4x = -2
y-4(3) = -2
y-12 = -2
y = -2+12
y = 10
so PTQ = 9y-3x-1
9(10)-3(3)-1
90-9-1
80°