Answer:
For a square of side length L, the perimeter is:
P = 4*L
Then if the perimeter of our square is 36 units, we have:
36 units = 4*L
(36 units)/4 = L = 9 units.
Now we know that one vertex of the square is located at (3, 5)
Then another vertex of the square can be at:
A distance of 9 units of this point (such that these vertices are connected by one side of the square)
Some examples can be:
(3 + 9, 5) = (12, 5)
or
(3, 5 + 9) = (3, 14)
These are the simpler options, there are a lot of other possible points that can be another vertes (we can have a circle of radius 9 units centered in the point (3, 5), all these points can be another vertex of the square).
We also can have a vertex that is connected by the diagonal, this point can be:
(3 + 9, 5 + 9) = (12, 14)
or
(3 - 9, 5 - 9) = (-6, -4)
Again, there are a lot of other possible points that can be this vertex (A circle of radius √2*9 units centered in the point (3, 5)).
Fill in the blanks to write the solutions to the quadratic equation.Fill in the blanks to write the solutions to the quadratic equation.Fill in the blanks to write the solutions to the quadratic equation.Fill in the blanks to write the solutions to the quadratic equation.x^2+2x+10 = 0
The solution to the given quadratic equation is x = -1 + 3i OR x = -1 - 3i
Solving Quadratic equationsFrom the question, we are to solve the given quadratic equation
From the given information,
The quadratic equation is
x² + 2x + 10 = 0
Using the Quadratic formula,
x = [-b ± √(b² - 4ac)] / 2a
From the equation,
a = 1, b = 2, and c = 10
Then,
x = [-b ± √(b² - 4ac)] / 2a
x = [-(2) ± √((2)² - 4(1)(10))] / 2(1)
x = [-2 ± √(4 - 40)] / 2
x = [-2 ± √(-36)] / 2
x = [-2 ± -6i] / 2
x = -1 ± 3i
x = -1 + 3i OR x = -1 - 3i
Hence, the solution is x = -1 + 3i OR x = -1 - 3i
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Johnny ran a race in 15 seconds, Malik ran the race in 4,92 seconds less
then Johnny, How long did it take Malik to run the race?
Answer:
10.08 seconds
Step-by-step explanation:
15-4.92=10.08
6) Create your own word
problem using the
format in the example
on the page above.
Format in the example are Surds on the page above in own word is [tex]36z^{15} ,\ 100,\ 9^7,\ and \ 6r^3\\[/tex]
How do indices and Surds differ from one another?Surds are the root values for which there is no whole number representation. Indices represent the exponent or power of a value. For instance, the base is 3 and the index is 2 for the number 32. the index being 3/2.
What are the Surds rules?These are the surds rules:
Rule 1: = √(r*s) = √r*√s.Rule 2: √(r/s) = √r/√s.Rule 3: r/√s = (r/√s) X (√s/√s)Rule 4: p√r ± q√r.Rule 5: r / (p+q√n)Rule 6: r / (p-q√n)1) [tex](2z^3)^5=32^{15}[/tex]
2) [tex]\sqrt[3]{1000*1000}=100[/tex]
3) [tex]\frac{9^{3} }{9^{-4} } = 9^7[/tex]
4) [tex](6r^{-3}) ^{-1} = 6r^3[/tex]
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if molly needs to cross a river 16 feet wide how long does she have to walk
Molly has to walk for 16/x minutes where x is the speed of molly.
What is the speed of an object?Speed is the rate at which an object's position changes, measured in meters per second. For example, if an object starts at the origin, and then moves three meters in three seconds, its speed is one meter per second. The equation for speed is simple: distance divided by time
Given here molly needs to cross a river 16 feet then let her speed be x and t be the time taken to cross the river
Then we have x=16/t
t=16/x
Hence, Molly has to walk for 16/x minutes where x is the speed of molly.
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ate 1 4 A chef is writing a shopping list for a dinner party. She needs 6 ounces of meat for each guest. If there are 40 guests, how many pounds of meat does she need to buy?
Answer:
1 guest is 6 ounces
40 guests is 240 ounces
240 ounces = 15 pounds of meat
Domain, and y intercept of function in image
A linear equations in two variables has infinitely many solutions true or false
Answer:
the answer is false because Every system of linear equations has exactly one solution, no solution or infinite number of solutions
Simplify (write without absolute value sign): |x-3|, if x>5
Answer:
if x > 5 => x - 3 > 2 >0
=> x - 3 > 0
So |x - 3| = x - 3
Which angles are adjacent to ZCED? Select all that apply.
Answer:
Angle BEC and DEA
Step-by-step explanation:
Adjacent = sharing a common side/vertex.
So angle BEC and DEA are adjacent to CED.
Erika sells bicycles at a store. She is paid a monthly salary plus a bonus on each bike she sells. Her monthly pay is modeled in the table. Choose the linear equation below that best represents this data.
Answer: Show the table
Step-by-step explanation:
SHow the table
Simplify 3.5m(3m + 1.8) using the distributive property.
10.5m + 6.3m
10.5m + 1.8
10.5m2 + 6.3m
10.5m2 + 1.8
Answer:
3.5m(3m + 1.8)
10.5m^2+6.3m
Step-by-step explanation:
Given that a square root of a number N is a value, that when multiplied by itself, results in N. What's the square root of 49? a. 9, b. 5, c. 7, d. 8
Answer:
Step-by-step explanation:
[tex]N^{2} =49[/tex]
To solve take the square root of 49.
[tex]\sqrt{49}[/tex] = 7
Option c which is 7
please solution and answer a and b thanks you
Answer:
A) 2280 and length is 12mm and width is 190mm
B) 190, 12
Step-by-step explanation:
Area of 1 cylinder: 456
456*5= 2280
38*5=190
diameter:190mm
height:12mm
190*12= 2280
Which of the following statements are true about the lengths of the trails? Check all that apply.
Answer:
its 1 and 3 and 5
Step-by-step explanation:
because i saisd so
please help and thanks
Answer: Bottom left corner
Angle DEC and Angle DEH
=============================================================
Explanation:
I recommend opening your favorite paint program, and using different colors to mark on the drawing as I have done below (see attached image). Note how angle DEC is in red and angle DEH is in blue. The two angles are adjacent, meaning they share the same ray (in this case, ray ED) and they form a straight angle.
Because they form a straight angle, or straight line, this means the two angles are supplementary. Supplementary angles always add to 180.
Solve ^4√5x - 4 =1
A) x = 625
B) x = 81∕5
C) x = 25
D) x = 125
x=125
...............
During a fundraiser, Kate wants to sell the same number of $5 candy bars as $2 candy bars. The expression that represents how much money Kate will collect is . Identify any variables, constants, and coefficients and explain what they mean in terms of the expression representing this scenario.
The expression that represents how much money Kate will collect
is y = 5x + 2x.
What is an equation?An equation is written in the form of variables and constants separated by the operation of multiplication and division,
An equation states that terms in different forms on both sides of the equality sign are equal.
Multiplication and division do not separate the terms of an equation.
Given, During a fundraiser, Kate wants to sell the same number of $5 candy bars as $2 candy bars.
Let, The number of candies she sold be 'x' and the total cost of the candies be 'y'.
Therefore, The phrase that describes the amount of money Kate will bring in is y = 5x + 2x.
y = 7x.
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Can somebody help me? I need help please
By using concept of angle relationship, we get x equal to 27°.
What are angle relationships defined as?We compare the position, measurement, and congruence of two or more angles when we talk about angle relationships. For instance, two pairs of vertical angles are created when two lines or line segments intersect.
∠BAF+∠EAF=180°
∠EAF=180° - 138°
∠EAF=42°
Since, ∠EAF and ∠BAC are vertically opposite angle,
Hence,
∠EAF = ∠BAC =42°
Again,
∠EAD+∠DAC+BAC=180°
4x+30°+42°=180°
4x=180°-72°
4x=108°
x=27
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Help meeee with this questionnnnnnnnnn!!!!!!!!!!!!
Given:
The scale factor between two circles is [tex]\dfrac{2x}{5y}[/tex].
To find:
The ratio of their areas.
Solution:
We know that, all circles are similar.
The ratio of the areas of similar figures is equal to the ratio of squares of their corresponding sides or equal to the square of ratio of their corresponding sides.
The scale factor is the ratio of the corresponding sides.
Ratio of areas of circles = Square of scale factor between two circles
[tex]\text{Ratio of areas of circles}=\left(\dfrac{2x}{5y}\right)^2[/tex]
[tex]\text{Ratio of areas of circles}=\dfrac{(2x)^2}{(5y)^2}[/tex]
[tex]\text{Ratio of areas of circles}=\dfrac{4x^2}{25y^2}[/tex]
Therefore, the correct option is D.
i need this please help me
Answer:
Congruent, Supplementary, Neither
Step-by-step explanation:
in the same order
13. Using the information in the table, write and solve an equation to find the number
of toppings when you would pay the same amount for Pizza A and Pizza B.
Pizza A
Pizza B
Cheese pizza Price per topping
$1.50
$1.00
$10
$12.50
On solving the question, 5 topping would pay the same amount for Pizza A and Pizza B, the value of equation 0.50x=2.50=> x=5
What is equation?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
let x be the number of toppings,the total cost of a pizza is given by:
pizza cost+topping cost
for pizza a =10+1.50x
for pizza b=12.50+1.00x
we solve for when cost are same and for how many toppings
10+1.50x=12.50+1.00x
10+0.50x=12.50
0.50x=2.50
x=5
would pay the same amount for Pizza A and Pizza B. are 5 toppings,
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please help i’ll give brainliest
Answer: D
Step-by-step explanation:
Substitute values for x until they all work.
A. y = 2 x 2 + 5 = 9 fail
B. y = 2 x 2 - 6 = -2 fail
C. y = -2 x 2 - 5 = -9 fail
D. y = -0.5 x 2 - 5 = -6 ok
y = -0.5 x 5 - 5 = -7.5 ok
y = -0.5 x 6 - 5 = -8 ok
Two numbers are such that twice the greater number exceeds thrice the smaller one by 15 and 1/5 of the smaller and 1/9 of the greater number are together 10. Find the numbers.
Answer: The two numbers are $x = 5$ and $y = 7.5$.
Step-by-step explanation:
Let the two numbers be $x$ and $y$, where $x < y$. We can write the two given statements as the following two equations:
$$2y = 3x + 15$$
$$\frac{1}{5}x + \frac{1}{9}y = 10$$
We can solve this system of equations using elimination. Multiplying the first equation by 5 and the second equation by 9, we get
$$10y = 15x + 75$$
$$9x + y = 90$$
Subtracting these equations, we get
$$8y - 9x = 15$$
Multiplying this equation by 8, we get
$$64y - 72x = 120$$
Adding this equation to 5 times the first equation, we get
$$69y - 72x = 120 + 75$$
$$69y - 72x = 195$$
Dividing both sides by 3, we get
$$23y - 24x = 65$$
Subtracting this equation from 4 times the second equation, we get
$$96y - 36x = 360 - 260$$
$$96y - 36x = 100$$
Dividing both sides by 60, we get
$$\frac{16}{3}y - \frac{6}{5}x = \frac{5}{3}$$
Substituting the expression for $y$ from the first equation, we get
$$\frac{16}{3}(3x + 15) - \frac{6}{5}x = \frac{5}{3}$$
This simplifies to
$$\frac{16}{5}x + \frac{64}{5} = \frac{5}{3}$$
Solving for $x$, we find that $x = 5$. Substituting this value into the first equation, we find that $y = 15/2 = 7.5$. Therefore, the two numbers are $x = 5$ and $y = 7.5$.
What is the volume of a cylinder with radius 5 feet and height 6 feet?
Answer:
150π ft³
Step-by-step explanation:
Volume is ,
=> V = πr²h
=> V = π × (5 ft)² × (6 ft)
=> V = 25 × 6 × π ft³
=> V = 150π ft³
Translate the following: "Four times a number n is equal to the difference between that number and 10"
Answer:
4n=10-n
n=2
Step-by-step explanation:
add n to both sides
5n=10
divide both sides by 5
n=10/5
n=2
The diagram represents two statements: p and q.
Which represents regions A, B, and C?
A) p v q
B) p -> q
C) q ^ p
D) q -> p
Answer:
The Region A represents p
The Region B represents p ∧ q
The Region C represents q
Step-by-step explanation:
The figure is as follows :
Given - The diagram represents two statements: p and q.
To find - Which represents regions A, B, and C?
A) p v q
B) p -> q
C) q ^ p
D) q -> p
Solution -
From the figure, we can see that,
The Region A represents p
The Region B represents p ∧ q
The Region C represents q
The truth table is as follows :
p q p ∧ q
T T T
T F F
F T F
F F F
What is the answer please help no links
Answer:
A: y = 9.5x + 22.5
Step-by-step explanation:
Find the distance between the points given.
(-3, 2) and (9, -3)
Answer:
Distance = 13
Step-by-step explanation:
Using the distance formula, plug in the two points:
d = sqrt(9-(-3))^2+(-3-2)^2
d = sqrt(12)^2+(-5)^2
d = sqrt144+25
d = sqrt169
d = 13
What is a possible value of sin(x) if the cos(2x) = 0.42
Answer:
The answer is 0.54 have a great day
A bag contains green, orange, and purple tennis balls. Corey shakes the bag, randomly selects a tennis ball, records the color in the table shown, and places the ball back into the bag. Corey repeats this process 40 times. Answer parts a and b. PLEASE HELP!!!