Answer:
x = -3 + √42
Step-by-step explanation:
1) Expand the square
2) Distribute
3) Distribute
4) Distribute
5) Combine like terms
6) Add the numbers
7) Move terms to the left side
8) Subtract the numbers
9) Use the quadratic formula
10) Simplify
11) Separate the equations
12) Solve
Therefore, the solution of this equation is x = -3 + √42
Step-by-step explanation:
(x + 3)² + 4 = 46
(x + 3)² = 42
x + 3 = ±sqrt(42)
x = ±sqrt(42) - 3
x1 = sqrt(42) - 3 = 3.480740698...
x2 = -sqrt(42) - 3 = -9.480740698...
What percent of 6 is 9?
Answer:
150%
Step-by-step explanation:
half of 6 is three, and 9 has a value of 3 more than 6. meaning that 9/6 = 150%
Answer: [tex]150[/tex]% [tex]([/tex][tex]0.54[/tex][tex])[/tex]
Step-by-step explanation:
For fraction: divide 6 by 100 and remove the % sign.
{[tex]6[/tex]}% [tex]=\frac{6}{100}[/tex]
For decimal: move the decimal point 2 places to the left and remove the % sign.
{[tex]6[/tex]}% [tex]=0.06[/tex]
[tex]100[/tex]% [tex]=9[/tex]
[tex]\frac{6}{100}[/tex] × [tex]9=0.06[/tex] × [tex]9=0.54[/tex]
[tex]6[/tex]% [tex]of~9~is~0.54[/tex]
Enter the range of values for x:
2x-4
10
45
60
2
Answer:
the answer is 0
Step-by-step explanation:
2x-4
putting 10
2x10-4
20-4
=16
putting 45
2x45-4
90-4
=86
putting 60
60x2-4
120-4
=116
putting 2
2x2=4
4-4=0
2.* Use the slope (m) and y-intercept (b)
to describe the system.
(1) x + y = -1
(2) -x - y=-1
F. Intersecting lines
G. Same lines, m > 0
H. Same lines, m < 0
J. Parallel lines, m > 0
K. Parallel lines, m < 0
Answer:
the answer is for this particular problem is F
does the point (3,1) lie on the line y=x-3? (With explanation)
Answer:
well i lands on y and the explaination would be 3+1=y
Step-by-step explanation:
hope this helps
Select the reason why these triangles are
similar. If they are not, select "Not similar."
2.5
1
0.5
2.25
A. AA
B. SAS
C. SSS
D. Not similar
Answer:
D
Step-by-step explanation:
1/2 is not equal to 1/2.5 is not equal to 0.5/2.25.
9x-3-8x=7-x solve for x
Answer:
x = 5
Step-by-step explanation:
Simplify both sides :
9x - 3 - 8x = 7 - xx - 3 = 7 - xAdd 3 to each side :
x - 3 + 3 = 7 - x + 3x = 10 - xAdd x to each side :
x + x = 10 - x + x2x = 10Divide by 2 on each side :
2x/2 = 10/2x = 5Answer:
x = 5Step-by-step explanation:
9x-3-8x=7-x solve for x
9x - 3 - 8 x = 7 - x
x - 3 = 7 - x
2x = 10
x = 10 : 2
x = 5
-----------------
check
9 * 5 - 3 - 8 * 5 = 7 - 5
2 = 2
the answer is good
Nina used 2 litres of paint to paint a wall.
The wall was a rectangle 2 metres high and 4 metres wide.
How many litres of paint would she need to paint a rectangular wall which is
2.5 metres high and 8 metres wide?
Precalculus.
Which one of these a whole number?
55
[tex]\sqrt{3}[/tex]
0.3
[tex]\frac{1}{4}[/tex]
Do answer.
Answer:
55
Step-by-step explanation:
Since whole numbers do not include fractions and decimal values, 55 is the answer
Screenshot of the question attatched. please help me
There are many rules that apply to operations involving exponents. In this question, we'll need the following:
The division rule⇒ [tex]\dfrac{a^n}{a^m}=a^{n-m}[/tex]Solving the QuestionWe're given:
[tex]z^{21}\div z^7=z^k[/tex] (solve for k.)
⇒ Rewrite as a fraction:
[tex]\dfrac{z^{21}}{z^7}=z^k[/tex]
⇒ Use the division rule:
[tex]z^{21-7}=z^k\\z^{14}=z^k\\14=k[/tex]
Therefore, the value of k is 14.
Answerk = 14
PLEASE ANSWER 60 PTS
find all missing angles below.
Step-by-step explanation:
a=60°{vertically opposite angles}
b=180°-(52+110)°=18°
c=180°-(60+18)°=102°
d=180°-102°=78°
e=180°-(78+51)°=51°
33. Use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number.
505 m² :519 m ²
505 m ²: 533 m ²
497 m ²: 519 m ²
497 m ²: 533 m ²
Answer: ⬇️⬇️⬇️⬇️
Lateral area = 505 m² ; Surface area = 519 m²
Hope I helped
Lateral area = Perimeter x height
Lateral area = (2 + 7 + 7.28) x 31 = 16.28 x 31 = 505 m²
Surface area = 2(1/2 x 2 x 7) + 505 = 519 m²
Answer: Lateral area = 505 m² ; Surface area = 519 m²
Select ALL the expressions that have a value of 2² – 3³ + 29.
1. (78 ÷ 3) – 24
2. 83 – 14 × 62 – 2
3. –|–6|
4. |–6|
5. 72 – 3.1 – 19 × 2.1
There is no expression that is the same as the value of 2² – 3³ + 29 which is = 2.
Simplification of the given expressionTo simplify the expression 2² – 3³ + 29. is as follows:
2² – 3³ + 29 = 4- 9+29
= 29 -5
= 24
(78 ÷ 3) – 24. To simplify is = 78/3=26-24 = 2 (false)83 – 14 × 62 – 2. To simplify is = 69- 60 = 9 (false)–|–6|. To simplify is -(-6) = +6( false)-6( false)72 – 3.1 – 19 × 2.1: To simplify is = 49.9×2.1 = 104.79 (false)Therefore, there is no expression that is the same as the value of 2² – 3³ + 29. which is 2.
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Brainly for the one who help me
the words choices is
Fortunately
Obviously
Suddenly
Eventually
Answer:
suddenly
Step-by-step explanation:
Answer:
Suddenly is the answerStep-by-step explanation:
Suddenly is a quickly and without warning or unexpectedly.Example:Suddenly I heard a loud scream.What is an equation of the line that passes through the points (3,6) and (1,−2)?
Answer:
y = 4x - 6
Step-by-step explanation:
Hi there!
We are given the points (3,6) and (1, -2), and that a line passes through these 2 points
We want to find the equation of said line
There are 3 ways to write the equation of the line:
Slope-intercept form, which is y=mx+b, where m is the slope and b is the y interceptStandard form, which is ax+by=c, where a, b, and c are integer coefficients but a and b cannot be equal to 0, and a cannot be negative Slope-point form, which is [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a pointThe most common way is slope-intercept form, so let's write the equation of the line this way
First, we need to find the slope
The slope (m) can be found using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] & [tex](x_2, y_2)[/tex] are points
Before we calculate, let's label the values of the points.
[tex]x_1=3\\y_1=6\\x_2=1\\y_2=-2[/tex]
Now substitute into the formula
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{-2-6}{1-3}[/tex]
Subtract
m=[tex]\frac{-8}{-2}[/tex]
Divide
m= 4
The slope of the line is 4
Substitute 4 as m in y=mx+b:
y = 4x + b
Now to find b
Since the equation passes through both (3,6) and (1, -2), we can use either point to help solve for b.
Taking (3,6) for example:
Substitute 3 as x and 6 as y.
6 = 4(3) + b
Multiply
6 = 12 + b
Subtract 12 from both sides
-6 = b
Substitute -6 as b into the equation
y = 4x - 6
Hope this helps!
Topic: finding the equation of the line
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What is the value of x in the triangle?
Answer:
3 = x
Step-by-step explanation:
Well, the two unknown sides share the same size due to the same angle, so now, using the fact we only have the info about one side, we need to do a reverse pythagorean theorem.
[tex]c^{2} = a^{2} + b^{2}[/tex]
Our a and b are the same, so I will change them to "x" and combine them.
[tex]c^{2} = 2(x)^{2}[/tex]
Now we plug in our "c" and square it ("C" in this case is: [tex]3\sqrt{2}[/tex] )
[tex]18 = 2(x)^{2}[/tex]
[tex]9 = x^{2}[/tex]
3 = x
In Calc, a mathematical equation is called a
A. Calculation
B. Symbol
C. Formula
D. Cell name
C. Formula
Explanation:
In Calc, a mathematical equation is called a Formula.
2*5-1/2*10*9 answer will be 45
*
Drag each graph to show whether it is a function of x or not a function of x. If there is
not enough information to tell
By using the vertical line test, we conclude that graphs 4 and 5 don't represent functions.
Which of the shown graphs are not functions?
The criteria to know when a graph represents or not a function, is to draw a vertical line and see if the line intersects the graph in more than one point. (This is called the vertical line test).
If you do that with graphs 4 and 5, you will see that these two do not represent functions.
For the other graphs is immediate to know that:
graph 1: represents a linear function.graph 2: represents a constant linear function.graph 3: represents a quadratic function.graph 6: represents a piecewise function.If you want to learn more about functions:
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PLEASE HELP!!!!!!!!
WILL GIVE BRAINLY IF RIGHT!!!!!!!!
Simplify.
[tex]\sqrt{(2\pi-4\sqrt{5})^2}[/tex]
Answer:
2π - 4√5
(= -2.66 to nearest hundredth).
Step-by-step explanation:
√(2π - 4√5)^2
= 2π - 4√5 (by the definition of a square root)
If you want an approximate value it is
-2.66 to the nearest hundredth
The following figure shows a right triangular prism. (help pls :( )
Which expression represents the surface area of the prism?
Choose 1 answer:
Answer: b
Step-by-step explanation:
The expression represents the surface area of the prism is 2.24+120+160+200. Therefore, option B is the correct answer.
Here a triangular prism has been provided with some measurements.
We have to find Which expression can be used to find the surface area of the following triangular prism.
What is the formula to find the total surface area triangular prism?The formula for the surface area of a triangular prism is formed by adding up the area of all the rectangular and triangular faces of a prism. Observe the following figure of a triangular prism to know the dimensions that are considered to frame the formula.
Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S1 +S2 + S3)L + bh
Here, S1, S2 and S3 are sides of triangles, l=length of the prism, b=base and h=height.
Now, (6+8+10)20+8×6=120+160+200+48
=2.24+120+160+200
The expression represents the surface area of the prism is 2.24+120+160+200. Therefore, option B is the correct answer.
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3.26d+9.75d−2.65 what does this equal
Answer:
13.01d - 2.65
Step-by-step explanation:
3.26d + 9.75d − 2.65
combine like terms
3.26d + 9.75d = 13.01d
nothing further can be done, recombine
13.01d - 2.65
Which data set does this stem-and-leaf plot represent?
7, 0, 6, 2, 8
77, 7, 0, 6, 6, 0, 0, 2, 8
17, 27, 40, 46, 56, 60, 82, 88
40, 88, 82, 46, 56, 60, 17, 60, 27, 17
Answer:
it's 40, 88, 82, 46, 56, 60, 17, 60, 27, 17
Trey earned $23, $26, $25, $24, $23, $24, $6, $24, and $23 in tips working at a deli. Find the mean of the amounts of tips he earned.
Answer:22
Step-by-step explanation:
23 plus 26 plus 25 plus 24 plus 23 plus 24 plus 6 plus 24 plus 23= 198 so count how many numbers there are we had to add so its 198 divided by 9 gives you the answer 22
help this is confusing
Answer:
Green: (2/11) * (1/10)
Yellow: (2/5) * (1/3)
Purple: (3/10) * (6/19)
Blue: (1/4) * (13/51)
Step-by-step explanation:
Green:
>> Maria has 11 letters in her bag, and 2 of them are B's.
>> At first, the chance of drawing a B is 2 out of 11: 2/11.
>> Let's assume that everything goes according to plan, and she actually draws a B.
>> Then she has 10 letters, and only one of them is B (she already has the other one).
>> That means that the chance of drawing that B is 1 out of 10: 1/10.
>> Thus, (2/11)*(1/10).
Yellow:
>> There are 11 + 13 + 16 = 40 items in the closet.
>> The probability of selecting a prop is 16/40 = 2/5 (there are 16 props and 40 items).
>> That means that there are 40-1=39 items left.
>> Therefore, the probability of selecting a costume is 13/39 = 1/3 (as there are 13 costumes and 39 items).
>> The answer is (2/5) * (1/3).
Purple:
>> There are 6+8+6=20 jellybeans.
>> At first, Hannah grabs an orange candy (there are 6 of them): 6/20 = 3/10.
>> Then there are 19 candies left.
>> Then she grabs a pink one (there are 6 of them): 6/19.
>> The answer is (3/10)*(6/19).
Blue:
>> There are 52 cards in a standard deck, 13 clubs, 13 spades, 13 hearts, 13 diamonds.
>> The 1st is a spade: 13/52 = 1/4.
>> There are 51 cards left.
>> The 2nd is a club: 13/51.
>> (1/4)*(13/51).
5/3 ÷ 1/9
list answer below
Answer:
5
Step-by-step explanation:
just calculated and got it
Answer:
15
Step-by-step explanation:
First, change it to multiplication and flip the second fraction
5/3×9/1
Then you multiply 5×9 and 3×1. This gets you 45/3
45/3 can be simplified down to 15 so the answer is 15
i need help with it pls
Answer:
Step-by-step explanation:
Step 1: What are the couch's original coordinates?
A: (-4, 2)N: (-4, 3)G: (-1, 3)L: (-1, 4)E: (-5, 4)S: (-5, 2)Step 2: Rotate the couch 90° counterclockwise.
Rule: (x, y) → (-y, x)
A': (-4, 2) → (-2, -4)N': (-4, 3) → (-3, -4)G': (-1, 3) → (-3, -1)L': (-1, 4) → (-4, -1)E': (-5, 4) → (-4, -5)S': (-5, 2) → (-2, -5)Step 3: Now reflect the "new" couch over the y-axis.
Rule: (x, y) → (-x, y)
A'': (-2, -4) → (2, -4)N'': (-3, -4) → (3, -4)G'': (-3, -1) → (3, -1)L'': (-4, -1) → (4, -1)E'': (-4, -5) → (4, -5)S'': (-2, -5) → (2, -5)Step 4: Finally translate the new new" couch right 1 unit and up 5 units.
Rule: (x + 1, y + 5)
A''': (2, -4) → (2 + 1, -4 + 5) → (3, 1)N''': (3, -4) → (3 + 1, -4 + 5) → (4, 1)G''': (3, -1) → (3 + 1, -1 + 5) → (4, 4)L''': (4, -1) → (4 + 1, -1 + 5) → (5, 4)E''': (4, -5) → (4 + 1, -5 + 5) → (5, 0)S''': (2, -5) → (2 + 1, -5 + 5) → (3, 0)Step 5: Use the distance formula to show that the length of EG is the same as the length of E'''G'''.
EG: (-5, 4)(-1, 3) E'''G''': (5, 0)(4, 4)Distance between E(-5, 4) and G(-1, 3)
x₁ = -5x₂ = -1y₁ = 4y₂ = 3[tex]\large \textsf {d = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$}\\\\\large \textsf {d = $\sqrt{(-1-(-5))^2+(3-4)^2}$}\\\\\large \textsf {d = $\sqrt{(-1+5)^2+(3-4)^2}$}\\\\\large \textsf {d = $\sqrt{4^2+(-1)^2}$}\\\\\ \large \textsf {d = $\sqrt{16+1}$}\\\\\large \textsf {d = $\sqrt{17}$}\\\\\large \textsf {d = ${4.12}$}[/tex]
Distance between E'''(5, 0) and G'''(4, 4)
x₁ = 5x₂ = 4y₁ = 0y₂ = 4[tex]\large \textsf {d = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$}\\\\\large \textsf {d = $\sqrt{(4-5)^2+(4-0)^2}$}\\\\\large \textsf {d = $\sqrt{(-1)^2+4^2}$}\\\\\large \textsf {d = $\sqrt{1+16}$}\\\\\ \large \textsf {d = $\sqrt{17}$}\\\\ \large \textsf {d = ${4.12}$}[/tex]
This means that the length of EG is the same as the length of E'''G'''.
Hope this helps!
A triangle has a base length of 2ac2 and a height 6 centimeters more than the base length. Find the area of the triangle if a = 4 and c = 2.
The area of the triangle with the given base and height where a = 4 and c = 2 is: 608 cm²
What is the Area of a Triangle?Area = 1/2(base)(height).
Given the parameters:
Base length = 2ac² cmHeight = 2ac² + 6 cmIf a = 4 and c = 2, then:
Area = 1/2(base)(height) = 1/2(2ac²)(2ac² + 6)
Area = 1/2(2 × 4 × 2²)(2 × 4 × 2² + 6)
Area = 1/2(32)(38)
Area = 608 cm²
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A news report suggested that an adult should drink a minimum of 4 pints of water per day. based on this report determine the minimum amount of water an adult should drink, in fluid ounces, per week.
Answer:
448 fl oz/week
Step-by-step explanation:
1 week = 7 days
4 pints per day × 7 days/week = 28 pints per week
1 pint = 16 fl oz
28 pints/week × 16 fl oz/pint = 448 fl oz/week
NO LINKS!! Please help me with this problem
Answer:
Mix A is 2 unitsMix B is 1 unitMix C is 3 unitsStep-by-step explanation:
Let amount of Mix A is a, Mix B is b, Mix C is c.
With the given details, we get the following system
5a + 6b + 4c = 284a + 2b + c = 133a + 4b + 4c = 22Find the value of c (the easiest one) for substitution
c = 13 - 4a - bSubstitute c into the first equation
5a + 6b + 4(13 - 4a - 2b) = 285a + 6b + 52 - 16a - 8b = 28- 11a - 2b = 28 - 5211a + 2b = 24 (5)Substitute c into the third equation
3a + 4b + 4(13 - 4a - 2b) = 223a + 4b + 52 - 16a - 8b = 22- 13a - 4b = 22 - 5213a + 4b = 30 (6)Double the equation (5) and subtract (6), find the value of a
2(11a + 2b) - 13a - 4b = 2(24) - 3022a - 13a = 48 - 309a = 18a = 2Find b
11*2 + 2b = 2422 + 2b = 242b = 2b = 1Now find c
c = 13 - 4*2 - 2*1 c = 13 - 8 - 2c = 3the distance on the map between the treasures hidden in block A2 and block A3 is 35mm. if the scale on the map is 1:500 ratio, what is the actual distance between the two hidden treasures?
The actual distance is: 17500mm
What is a map scale?A map scale is used to show the relationship between the distance on the map and the distance on the earth.
Analysis:
The scale 1:500 is a reduction scale, it means every 1 mm on the map represents 500mm on the ground
So if 1mm on the map represents 500mm on the ground, then 35mm on the map would be 500 x 35 = 17500mm
In conclusion, the actual distance between the two hidden treasures is 17500mm.
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