Answer:
x =5
Step-by-step explanation:
c = 5√2
a = x
b = x
Formula
x^2 + x^2 = c^2 Combine the x^2
Solution
2x^2 = (5√2)^2 Expand the right side
2x^2 = 2*25 Divide both sides by 2
x^2 = 25 Take the square root of both sides.
x = 5
Need help solving this equation
Answer:
no solution
Step-by-step explanation:
this statement states y=y
-x+3 is not equal to -x+5
The length of a rectangular table is represented by the function L(x) = 3x The width of the table is represented by the function (x) = 4x2 - 6x +5. What is the area of the table in terms of 2
O LOW)(x) = 7x2-3x+8x
O (LOW)(x) = 122-18x+15
O (LW) = 122-182? +15x
O LOW)(x) = 122 +182 +15x
from the conclusion that I'm of and dont I feel like the answer is letter C I'm not sure
I need to find out the leng of XZ
Answer:
16.84?
Step-by-step explanation:
12.6/cos(29)=16.84
please help fast! I have no idea what I'm supposed 2 do
Answer:
Constant of proportionality: [tex]\frac{1}{3}[/tex]
Equation: [tex]y=\frac{1}{3}x[/tex]
Step-by-step explanation:
The constant of proportionality is the ratio between y and x, according to the following formula
constant of proportionality = k = y/x
Take the given pairs and replace the data.
1.
[tex]k=\frac{\frac{2}{3}}{2}[/tex]
[tex]k = \frac{1}{3}[/tex]
2.
[tex]k = \frac{1}{3}[/tex]
3.
[tex]k=\frac{\frac{10}{3}}{10}[/tex]
[tex]k = \frac{1}{3}[/tex]
4.
[tex]k = \frac{4}{12}[/tex]
[tex]k = \frac{1}{3}[/tex]
As you can see, the constant is the same for all the pairs.
constant of proportionality = [tex]\frac{1}{3}[/tex]
Now, in order to know the equation make a graph of the given data.
The graph is in the picture
Since it is a line, use the equation of the line in point slope form
[tex]y- { y }_{ 1 } = m \left( x- { x }_{ 1 } \right)[/tex]
where (x1, y1) = any pair of the data
m = slope = constant of proportionality
Replace the data in the equation
[tex]y-1 = \dfrac{ 1 }{ 3 } \left( x-3 \right)[/tex]
Use the distributive property to multiply [tex]\frac{1}{3}[/tex] by x - 3
[tex]y-1=\frac{1}{3}x-1[/tex]
Add 1 to both sides
[tex]y = \dfrac{ 1 }{ 3 } x-1+1[/tex]
Add −1 and 1 to get 0
[tex]y=\frac{1}{3}x[/tex]
or
[tex]y=\frac{x}{3}[/tex]
Help plss, thank you.
The stock of Company A gained 3.5% today to $16.56 . What was the opening price of the stock in the beginning of the day?
well, the opening price was "x", which oddly enough is the 100%, however during the trading of the day the company gained 3.5%, so that'd be 100% + 3.5% = 103.5%, and we know that that is 16.56, so
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 16.56&103.5 \end{array}\implies \cfrac{x}{16.56}=\cfrac{100}{103.5}\implies 103.5x=1656 \\\\\\ x=\cfrac{1656}{103.5}\implies x=16[/tex]
CORRECT ANSWER GETS BRAINLIEST
Answer:
x=30 degrees
If you replace the x with 30, it will all equal 180 which is the total you should get when making the triangle in a straight line. (not good english)
Heya ~
I need help please . . . .
I am just going to show the image, so y'all won't get confuse.
ANSWERS CHOICES ~
[tex]4[/tex]
[tex]3[/tex]
[tex]-3[/tex]
make a explanation to this.
Thanks ~
Answer:
y = -3
Step-by-step explanation:
y = x - 7
when x = 4
y = 4 - 7
y = -3
Answer:
See below.
Step-by-step explanation:
If x is 4, then replace x with 4 and simplify.
y=4-7
y=-3
-hope it helps
You load boxes onto an empty truck at a constant rate. After 3 hours, there are 100 boxes on the truck. How much longer do you work it you load a total of 120 boxes? You work hour(s) longer Justify your answer
Answer:
36 minutes
Step-by-step explanation:
100 boxes in 3 hours is a rate. It is how fast you are working in boxes per hour 100/3 boxesperhour.
But 3 doesn't go into 100 very neatly and its going to make all kinds of ugly fractions or decimals. But lets look at minutes. 3 hours is 3 × 60 minutes (bc there's 60 minutes in an hour) So you loaded 100 boxes in 180 minutes. That's 100/180 boxes per minute.
100/180 = 10/18
10/18 means 10 boxes in 18 minutes.
So times 2 on the top and the bottom gives you 20/36.
20/36 means 20 boxes in 36 minutes.
This is your answer. It will take 36 minutes to load 20 more boxes.
Help please, will give brainliest!!
Answer:
[tex]{2}^{3} = 2 \times 2 \times 2 = 8[/tex]
Step-by-step explanation:
*We're focusing on 2 to the power of 3.
2^3 is represented as 2 x 2 x 2, 2 is being multiplied by itself 2 times.
When we multiply, we find the product of 8.
Therefore,
[tex] {2}^{3} = 2 \times 2 \times 2 = 8[/tex]
Question:
If x =
[tex] \frac{ \sqrt[3]{m + 1{ }} + \sqrt[3]{m - 1} }{ \sqrt[3]{m + 1} - \sqrt[3]{m - 1} } [/tex]
Then the value of x³-3mx²+3x is:
No link please, Tq
[tex] \text{Given Equation is } \frac{x}{1} = \frac{ \sqrt[3]{m + 1{ }} + \sqrt[3]{m - 1} }{ \sqrt[3]{m + 1} + \sqrt[3]{m - 1} }[/tex]
[tex]\text{On Applying componendo and dividendo, we get:-}[/tex]
[tex] \frac{x + 1}{x - 1} = \frac{( \sqrt[3]{m + 1} + \sqrt[3]{m - 1} )+ ( \sqrt[3]{m + 1}) - \sqrt[3]{m - 1} }{ (\sqrt[3]{m + 1} + \sqrt[3]{m - 1}) - ( \sqrt[3]{m + 1}) - \sqrt[3]{m - 1} } [/tex]
[tex] \implies \: \frac{x + 1}{x - 1} = \frac{2( \sqrt[3]{m + 1)} }{2( \sqrt[3]{m - 1)} } \\ \\ \implies \frac{ x + 1}{x - 1} = \frac{ \sqrt[3]{m + 1} }{ \sqrt[3]{m - 1} } [/tex]
[tex] \text{On Cubing both sides, we get} \\ \frac{(x + 1) {}^{3} }{(x - 1) {}^{3} } = \frac{m + 1}{m - 1} [/tex]
[tex]\text{Again, Applying componendo and dividendo, we get:-}[/tex]
[tex] \frac{(x + 1) {}^{3} + (x - 1) {}^{3} }{(x + 1) {}^{3} - (x - 1) {}^{3} } = \frac{m + 1 + m - 1}{m + 1 - (m - 1)} [/tex]
[tex] \implies \frac{ {x}^{3} + 1 {}^{3} + 3 {x}^{2} \times 1 + 3x \times {1}^{2} + ( {x}^{3} - 1 {}^{3} - 3x {}^{2} \times 1 + 3x \times 1 {}^{2} ) }{x {}^{3} + 1 {}^{3} + 3 {x}^{2} \times 1 + 3x \times {1}^{2} - (x {}^{3} - 1 {}^{3} - 3 {x}^{2} \times 1 + 3x \times {1}^{2}) } = \frac{2m}{2} [/tex]
[tex] \implies \frac{2x {}^{3} + 6x}{ {6x}^{2} + 2 } = \frac{m}{1} [/tex]
[tex] \implies \frac{2(x {}^{3 } + 3x) }{2(3 {x}^{2} + 1) } = \frac{m}{1} [/tex]
[tex] \implies \: x {}^{3} + 3x = 3m {x}^{2} + m \\ \\ \implies {x}^{3} - 3mx {}^{2} + 3x \\ = m[/tex]
Hope This Helps!!
Based on the calculations, the value of [tex]x^3-3mx^2+3x[/tex] is equal to m.
Given the following data:
[tex]x=\frac{\sqrt[3]{m+1} +\sqrt[3]{m-1}}{\sqrt[3]{m+1} +\sqrt[3]{m-1}}[/tex]
How to evaluate the fraction.In order to simplify the given mathematical expression, we would apply the componendo and dividendo rule because it would the number of expansions as follows:
[tex]\frac{x}{1} =\frac{\sqrt[3]{m+1} +\sqrt[3]{m-1}}{\sqrt[3]{m+1} -\sqrt[3]{m-1}}\\\\\frac{x+1}{x-1} =\frac{(\sqrt[3]{m+1} +\sqrt[3]{m-1})+(\sqrt[3]{m+1} -\sqrt[3]{m-1})}{(\sqrt[3]{m+1} +\sqrt[3]{m-1})-(\sqrt[3]{m+1} -\sqrt[3]{m-1})}\\\\\frac{x+1}{x-1} =\frac{\sqrt[3]{m+1} +\sqrt[3]{m-1}+\sqrt[3]{m+1} -\sqrt[3]{m-1}}{\sqrt[3]{m+1} +\sqrt[3]{m-1}-\sqrt[3]{m+1} +\sqrt[3]{m-1}}\\\\\frac{x+1}{x-1} =\frac{2(\sqrt[3]{m+1})}{2(\sqrt[3]{m-1})} \\\\\frac{x+1}{x-1} =\frac{\sqrt[3]{m+1}}{\sqrt[3]{m-1}}[/tex]
Taking the cube of both sides, we have:
[tex](\frac{x+1}{x-1})^3 =(\frac{\sqrt[3]{m+1}}{\sqrt[3]{m-1}})^3\\\\\frac{(x+1)^3}{(x-1)^3}=\frac{m+1}{m-1}[/tex]
Applying the componendo and dividendo rule, we have:
[tex]\frac{(x+1)^3+(x-1)^3}{(x-1)^3-(x-1)^3}=\frac{m+1+(m-1)}{m-1-(m-1)}\\\\\frac{(x+1)^3+(x-1)^3}{(x-1)^3-(x-1)^3}=\frac{2m}{2} \\\\\frac{(x+1)^3+(x-1)^3}{(x-1)^3-(x-1)^3}=m\\\\\frac{2x^3+6x}{6x^2+2} =m\\\\\frac{2(x^3+3x)}{2(3x^2+1)} =m\\\\\frac{x^3+3x}{3x^2+1} =m\\\\x^3+3x=m(3x^2+1)\\\\x^3+3x=3mx^2+m\\\\x^3-3mx^2+3x=m[/tex]
Read more on componendo and dividendo here: https://brainly.com/question/134857
The figure shows a rectangle ABCD where the diagonals AC and BD intersect at E.
Given that BEC = 52°, find
(I) ADB
(ii) ACD
Answer:
(i) 64°
(ii) 26°
Step-by-step explanation:
Answer:
(i) m<ADB = 64°
(ii) m<ACD = 26°
Step-by-step explanation:
I use this to mean the measure of angle ADC: m<ADC
(i)
m<BEC = 52°
<DEA and <BEC are vertical angles, so they are congruent.
m<DEA = m<BEC = 52°
Polygon ABCD is a rectangle. When the diagonals, AC and BD, of a rectangle are drawn, 4 triangles are formed. Each two opposite triangles are congruent, and all 4 triangles are isosceles.
Triangle ADE is an isosceles triangle with congruent sides ED and EA. That makes opposite angles ADB and DAC congruent. Also the sum of the measures of the angles of a triangle is 180°.
m<ADB + m<DAC + m<DEA = 180°
m<ADB = m<DAC; m<DEA = 52°
2m<ADB + 52° = 180°
2m<ADB = 128°
m<ADB = 64°
(ii)
Angles DEC and BEC form a linear pair. That means the angles are supplementary, and the sum of their measures is 180°.
m<DEC + m<BEC = 180°
m<DEC + 52° = 180°
m<DEC = 128°
Triangle DEC is an isosceles triangle with congruent sides ED and EC. That makes opposite angles ACD and BDC congruent.
m<ACD + m<BDC + m<DEC = 180°
2m<ACD + 128° = 180°
2m<ACD = 52°
m<ACD = 26°
Which expressions are equivalent to this exponential expression?.
The expression is equivalent to [tex]5^2[/tex].
Given
Expression; [tex]\rm \dfrac{(5^2)^{-3}\times 5^4}{5^{-4}}[/tex]
Exponential expression;The definition of exponential form is a way of writing a number that is multiplied by itself more than once.
To solve the exponential equation follow all the steps given below.
Therefore,
The expression is equivalent to;
[tex]\rm =\dfrac{(5^2)^{-3}\times 5^4}{5^{-4}}\\\\=\rm \dfrac{(5)^{-6}\times 5^4}{5^{-4}}\\\\=\rm \dfrac{(5)^{-6+4}}{5^{-4}}\\\\=\rm \dfrac{5^{-2}}{5^{-4}}\\\\=5^{-2+4}\\\\=5^2[/tex]
Hence, the expression is equivalent to [tex]5^2[/tex].
To know more about expression click the link given below.
https://brainly.com/question/11865504
Type the integer that makes the following addition sentence true:
- 6 + = −8
Answer:
-2
-Step-by-step explanation:
As, -6+(-2)= -6-2=-8
Thus, solved.
Hope it helps...
Here are 10 numbers 3,7,2,4,7,5,7,1,8,8,
A) write down the mode
B) work out the median
C) calculate the mean
D) what is the range
Can you please help me???
When a kite is flying, the string makes an angle of 22° with the horizontal, and the string is 200m long. How high is the kite?
Answer: Check the picture below.
Make sure your calculator is in Degree mode.
the question "how long is the kite?" is not quite clear, i suppose it was asking how far it was from the ground (b) or horizontally (a). I calculated both, I hope this helps
Solve the equation ( 32
3) (33) = 36
=
X
Answer: D. -30
Step-by-step explanation: EDGE 2022 I GOT 100%
Fiona enlarges a parallelogram that has a perimeter of 17 meters. A small parallelogram has a left side length of 3. 5 meters. A larger parallelogram has a left side length of 21 meters. Not drawn to scale What is the perimeter of the enlarged parallelogram? 30 meters 73. 5 meters 102 meters 105 meters.
Answer:D
Step-by-step explanation:got it right on my test
Answer:
The answer is C i got a 100 on the test
Step-by-step explanation:
Two trains, Train A and Train B, weigh a total of 290 tons. Train A is heavier than Train B. The difference of their weights is 122 tons. What is the weight of each train?
Answer:
Train A is 168 tons and Train B is 122 tons
Step-by-step explanation:
a student writes an innocent step while checking if the sum of the measures of the two remote (50 POINTS) HURYYY PLS
Answer:
Step 3 is right answer.
Step-by-step explanation:
He is substituting the values wrong. His 2nd step is right but as he moved to the 3rd step he put measure of angle n instead if measure if angle o
So Step 3 is right answer.
The midpoint of AB is M(2, 0) If the coordinates of A are (-3, 3) what are the coordinates of B
Answer:
(7, -3)
Step-by-step explanation:
If M is the midpoint you can use the same translation from A to M as M to B.
The movement from A to M is 5 units up and 3 units left, or (x+5, y-3). If we do the same movement to point M (Which is (2) +5, (0) -3) we will get (7, -3).
Answer:
the coordinates of B is B(7,-3)
Step-by-step explanation:
Solution,
Here, M(2,0) is the midpoint of a line segment joining the points A(-3,3)
and B(a,b)
Let,
(x,y)=(2,0)
(x1,y1)=(-3,3)
(x2,y2)=(a,b)
Now,
Using midpoint formula
[tex]x=\frac{x_1+x_2}{2} ,y=\frac{y_1+y_2}{2} \\\\2=\frac{-3+a}{2} ,0=\frac{3+b}{2} \\\\[/tex][Cross multiply]
[tex]4=-3+a,0=3+b\\\\4+3=a,0-3=b\\\\a=7,b=-3[/tex]
I’ll give points to correct answer !!!!!
Answer:
i think the answer is 12
Step-by-step explanation:
write the following linear equation in slope intercept form. y-5=-2(x+3)
Answer:
y = -2x -1
Step-by-step explanation:
y-5=-2(x+3)
Distribute -2 × x and -2 × 3
y - 5 = -2x -6
y + 5 = -2x -6
y = -2x - 1
Lindsey, Derek, and Tessa went on a 5-mile hike to see a huge waterfall. They put some snacks and water in a backpack before they started, and each person carried the backpack an equal distance during the hike.
How far did each person carry the backpack?
Write your answer as a proper fraction or mixed number.
Answer:2.5
Step-by-step explanation:5/2=2.5
please educated people solve my question i have reposted for the 4th time now...
Answer: i think that picture 2 is b
Step-by-step explanation:
what was the effect of Spanish rule on the French Huguenots?due tomorrow
choices are:
A) The French were driven from Fort Caroline. They could not practice their religion and their leader and his men were massacred.
B) The French were able to take advantage of weaknesses in the Spanish Army and to take over their fort at St. Augustine.
C) The Spanish moved the Huguenot cemetery away from their fort, because they didn’t like the French names.
12. Tina hanged 20 lanterns at an equal distance apart on a string as shown below. The distance between the 1st lantern and the 5th lantern is 80 cm. Find the distance between the 1st and the last lantern.
an equal distance = arithmetic sequence
xn= a+d(n-1)⇒ x₁ = a
x₅ - x₁ = 80
x₁ + 4d - x₁ = 80
4d = 80
d = 20 cm
x₂₀ - x₁ = x
x₁ + 19d - x₁ = x
19d = x
19.20 = 380
someone please help me! i will mark brainliest if i can
Answer: 19.8x - 11.1y
Step-by-step explanation: you’re welcome:)
Again lol
what is the factored form of 24v – 84?
Answer:
10
Step-by-step explanation:
b
A customer bought a soda and 2 hot dogs for 7$. Another customer bought a soda and 4 hot dogs for $12.
What is the rate of change?
What is the initial value
s + 2h = 7
s + 4h = 12
s = 12 - 4h
12 - 4h + 2h = 7
- 2h = -5
2h = 5
hotdog = $2.50
s = 12 - 10
soda = $2