4 lines of symmetry are there in the pattern.
What are an example and a pattern?
A pattern is defined as someone or something that is used as a guide to create a replica, a design, or an anticipated behavior. The paper pieces a seamstress uses to build a dress are an example of a pattern; a dress pattern. A pattern is something like polka dots. Rush hour traffic is an illustration of a pattern; a traffic pattern.The square's two diagonals are symmetry lines.
Additionally, symmetry lines are formed by connecting the midpoints of the opposing sides. Consequently, there are four lines of symmetry overall.
4 lines of symmetry are there in the pattern.
Learn more about pattern
brainly.com/question/14720576
#SPJ4
For f(x)=-4 x+1 , what is the output for the given input?
a. -2
f (5) = -7 is the output for the given input .
How can you tell whether a function is linear or not?
Looking at a function's graph will reveal if it is linear or not with the greatest ease.When a linear function is plotted on a graph, a straight line is formed. A nonlinear function is curved in some way; it does not form a straight line.f(x)= -4 x+1
Put x = -2 ⇒ - 4 × -2 + 1
⇒ - 8 + 1
⇒ - 7
Therefore f (5) = - 7
Learn more about linear function
brainly.com/question/14695009
#SPJ4
please help. The question is attached. Do only C,D,E,F,G
Main Answer:
c. The value of x = 5 and y = 5.
d. The value of x = 1and y = 2.
e. The value of x = 10 and y = 2.
f. The value of x = 2 and y = 1.
g. The value of x=2 and y = 4.
Explanation for all parts:
A linear equation is an algebraic equation of the form y=mx+b involving a constant and a linear term.A square root of a number is a value that when multiplied by itself gives the number.Elimination method is a technique for solving a system of linear equation by eliminating the same variables.c. Given: 3y = x + 10
[tex]x^{2} +y^{2}=100[/tex]
To find: Solve the simultaneous equations.
[tex]x^{2} +y^{2}=100[/tex]
On taking square root from both sides of the equations, we get,
x + y = 10
3y = x + 10
x = 3y - 10
x - 3y = -10
By elimination method,
x - 3y = -10
x + y = 10
-----------------
-4y = -20
y = 5
On substituting the value of y = 5 in the equation x + y = 10 , we get,
x + y =10
x + 5 = 10
x = 5
Therefore, the required value of x = 5 and y = 5.
d. Given: y = 3x - 1
8[tex]x^{2}[/tex] - 2xy = 4
To find: Solve the simultaneous equations.
By substitution method,
We will substitute the value of y in equation 8[tex]x^{2}[/tex] - 2xy = 4 to get,
8[tex]x^{2}[/tex] - 2x(3x-1) = 4
8[tex]x^{2}[/tex] - 6[tex]x^{2}[/tex] +2x = 4
2[tex]x^{2}[/tex] + 2x = 4
By dividing the equation by 2 on both sides, we get,
[tex]x^{2}[/tex] + x = 2
[tex]x^{2}[/tex] + x - 2 = 0
[tex]x^{2}[/tex] + 2x - x - 2 = 0
x(x+2) -1(x+2) = 0
(x+2)(x-1) = 0
x+2 = 0 or x - 1= 0
x = -2 or x = 1
We will not consider the negative values of x.
So, x = 1.
y= 3x - 1
y = 3 × 1- 1
y = 3 - 1
y = 2
The value of x = 1and y = 2..
e. Given: x - 2y = 6
[tex]x^{2}[/tex] - 4xy = 20
To find: Solve the simultaneous equations
x - 2y = 6
x= 6 + 2y
By substitution method,
We will substitute the value of x= 6 + 2y in the equation
[tex]x^{2}[/tex] - 4xy = 20 to get,
[tex](6+2y)^{2}[/tex] - 4(6+2y)y = 20
36 + 4[tex]y^{2}[/tex] +24y - 24y - 8[tex]y^{2}[/tex] = 20
-4[tex]y^{2}[/tex] = 20 - 36
-4[tex]y^{2}[/tex] = -16
By dividing the equation by -4 on both sides, we get,
[tex]y^{2}[/tex] = 4
y = 2
So, x = 6 +2y
x = 6 + 2×2
x = 6+4
x=10
Therefore, the value of x = 10and y = 2.
f. Given: 4x - 3y = 5
[tex]x^{2} +3xy = 10[/tex]
To find: Solve the simultaneous equations.
4x - 3y = 5
4x= 5 + 3y
x = [tex]\frac{5+3y}{4}[/tex]
By substitution method,
We will substitute the value of x = [tex]\frac{5+3y}{4}[/tex] in the equation
[tex]x^{2} +3xy = 10[/tex] to get,
[tex](\frac{5+3y}{4} )^{2}[/tex] + 3[tex](\frac{5+3y}{4} )[/tex]y =10
[tex]\frac{25+9y^{2}+30y }{16}+ \frac{15y+9y^{2} }{4}[/tex] = 10
[tex]\frac{25+9y^{2}+30y+60y+36y^{2} }{16}[/tex]=10
25 + 45[tex]y^{2}[/tex] + 90y=160
By dividing the equation by 5 on both sides, we get,
5 + 9[tex]y^{2}[/tex] +18y= 32
[tex]9y^{2}[/tex] +18y - 27 = 0
By dividing the equation by 3 into both sides, we get,
[tex]y^{2}[/tex] +2y - 3 = 0
[tex]y^{2}[/tex] +3y -y - 3 = 0
y(y+3) - 1(y+3) = 0
(y+3)(y-1) = 0
y =-3 or y =1
We will not consider the negative values of x.
So, y=1.
x= [tex]\frac{5+3y}{4}[/tex]
x = [tex]\frac{5+3(1)}{4}[/tex]
x= [tex]\frac{5+3}{4}[/tex]
x= [tex]\frac{8}{4}[/tex]
x = 2
Therefore, the value of x=2 and y= 1.
g. Given: 2x+ y= 8
xy= 8
To find: Solve the simultaneous equations.
According to the equation,
2x+ y= 8
y = 8 - 2x
By substitution method,
We will substitute the value of y = 8 - 2x in the equation xy = 8 to get,
x(8-2x) = 8
8x - 2[tex]x^{2}[/tex] = 8
8x - 8 = 2[tex]x^{2}[/tex]
2[tex]x^{2}[/tex] - 8x + 8 = 0
2[tex]x^{2}[/tex] - 4x - 4x + 8 =0
2x(x - 2) - 4(x - 2) = 0
(x - 2)(2x - 4) = 0
x = 2 or 2x = 4
x= 2 or x =2
So, y = 8 - 2x
y = 8 - 2(2)
y = 8 - 4
y = 4
Therefore, the value of x = 2 and y= 4.
To learn more about solving the system of linear equations, visit:
brainly.com/question/17053411
#SPJ9
Write an equation of each line in point-slope form.
(-4,2) and (-3,5)
The equation of the line in point-slope form, which passes through the pair of points located at (-4 , 2) and (-3 , 5), is y - 2 = 3(x + 4).
The equation of a line can be expressed in three different forms: standard form, slope-intercept form, and point-slope form.
The standard form of an equation of a line is expressed as ax + by = c, where a and b, if all possible must be integers, are the coefficients of variable x and y, respectively, and c is a constant. Meanwhile, slope-intercept form is given by the formula y = mx + b, where m is the slope of the line and b is the y- intercept. On the other hand, given the slope m and a point on the line (x , y), we can express the equation in point-slope form, (y - y1) = m(x - x1).
Getting the slope of the two points: (-4 , 2) and (-3 , 5).
m = (y2 - y1)/(x2 - x1)
m = (5 - 2)/(-3 - -4)
m = 3
Using the point slope form, plug in the values of the slope and Point A to set up the equation.
(y - y1) = m(x - x1)
where m = 3 and (x1 , y1) = (-4 , 2)
(y - 2) = 3(x - -4)
y - 2 = 3(x + 4)
To learn more about equation of line in point slope form: brainly.com/question/24907633
#SPJ4
Can someone help me with this I don't understand this. :(
Answer:
See the attached photos for help!
Step-by-step explanation:
I also recommend looking up desmos graphing calculator to actually see the graphs!
If you need more in depth assistance on this, feel free to let me know :]
The length and width of a rectangle are consecutive odd integers. The perimeter of the rectangle is 96 centimeters. Find the length and width of the rectangle.
Width = centimeters Length = centimeters
Answer:
23 cm, 25 cm
Step-by-step explanation:
Let the Width be W cm.
Since the Length and Width are consecutive odd integers we know that the length:
Length = (W + 2) cm
Perimeter of Rectangle = Sum of all sides = 2 x Length + 2 x Width
So rewriting the perimeter , we have:
2W + 2(W+2) = 96 cm
Now lets solve for W to get the width.
2W + 2W + 4 = 96 cm
4W + 4 - 4 = 96 - 4
4W = 92 cm
W = 23 cm
Next, we know that the length = (W + 2) cm
Therefore the length = 23 + 2 = 25 cm
Determine whether each set of numbers can be the measures of the sides of a triangle. If so, classify the triangle as acute, obtuse, or right. Justify your answer.
44,46,91
The following set of numbers, 44, 46, and 91, cannot be the measures of the sides of a triangle.
A triangle is a polygon with three sides and three vertices.
To know if a set of number is a valid measure of the sides of a triangle, it must follow the Triangle Inequality Theorem which states that the sum of any two sides must be greater than the third side, such that a + b > c, a + c > b, and b + c > a.
let a = 44, b = 46, and c = 91
a + b > c 44 + 46 > 91 90 > 91 False
a + c > b 44 + 91 > 46 135 > 46 True
b + c > a 46 + 91 > 44 137 > 44 True
If at least one of these three statements is not true, then the set of numbers is not a valid measure of the sides of a triangle.
Hence, the set of numbers 44, 46, and 91 can not be the measure of the sides of a triangle.
To learn more about types of triangle based on side lengths: brainly.com/question/13619935
#SPJ4
Which expressions are simplified? Pls help!!
Answer:
Only A
Step-by-step explanation:
[tex]b) \: \frac{1}{ {n}^{ - 5} } = {n}^{5} \\ \\ c) \: {n}^{6} \times {n}^{ - 8} = {n}^{ - 2} \\ \\ d) \: {n}^{7} \times {n}^{8} = {n}^{15} \\ \\ e) \: \frac{1}{ {n}^{3} } = {n}^{ - 3} [/tex]
Every Saturday, 10 friends play dodgeball at a local park. To pick teams, they randomly draw cards with consecutive integers from 1 to 10 . Odd numbers are on Team A, and even numbers are Team B. What is the probability that a player on Team B has drawn the number 10 ?
The directly proportional dependence is given by the formula y=3/8x
For the formula y = 3/8x , as x increases or decreases, the value of y increases or decrease by 3/8 times of x.
We have the following statement -
'The directly proportional dependence is given by the formula y = 3/8x '.
We have to analyze this statement.
What is the meaning of direct proportionality between variables ?Directly proportional means as the value of one variable increases, the value of another variable increases at the same rate.
According to the question, we have -
y = 3/8x
Here - y is directly proportional to x. This means that as x increases or decreases, the value of y increases or decrease by 3/8 times of x.
The graph of this equation is a straight line passing through origin. Therefore - Direct proportionality is represented by a straight line graphically.
Hence, for the equation y = 3/8x , as x increases or decreases, the value of y increases or decrease by 3/8 times of x.
To solve more questions on direct proportionality, visit the link below-
https://brainly.com/question/21405849
#SPJ1
Solve using Gaussian elimination.
−4x−2y−4z=−24
3x−2y+5z=31
2x+4y−3z=−9
A) 4 / -2 / 3
B) 4 / 2 / 3
C) -2 / 3 / 4
D) 2 / 3 / 4
Answer:
4 / -2 / 3
Step-by-step explanation:
7. Sound travels through air at 330 meters per second. How long will it take a bat's cry to reach its prey and echo back if the prey is 1 meter away? Round to the nearest thousandth of a second. (please show how you got the answer)
It will take 0.006 seconds for bat's cry to reach its prey and echo back.
What is Sound?Sound is a vibration that propagates as an acoustic wave, through a transmission medium such as a gas, liquid or solid.
Given is the speed of sound which is 330 m/s. The prey is 1 meter away from the bat.
The time it takes a bat's cry to reach its prey and echo back can be calculated using the formula -
time = distance / speed
The distance covered by the sound as it reaches the prey and echo back is equal to 2 x 1 = 2 meters.
Speed of sound → 330 m/s.
So, the time taken will be -
t = 3/330
t = 0.006 s
Therefore, it will take 0.006 seconds for bat's cry to reach its prey and echo back.
To solve more questions on Kinematics, visit the link below-
https://brainly.com/question/251189
#SPJ1
11) Each of Jeff's family, of four, buys a new phone. The total cost is $25 above or below $1200. Write
an equation that models the cost x, in dollars, of a single phone.
The equation that models the cost x in dollars of a single phone is given by 293.75 ≤ x ≤ 306.25.
What are inequalities ?
When two values are compared , an inequality represents whether one is greater than, less than, or not equal to the other.
It is given that total cost of phone is $25 above or below $1200.
This is a case of inequality.
Let's assume the cost of one phone is $x.
So cost of 4 phones will be given by 4x.
and this will be equal to total cost which is given as $25 above or below $1200.
So , the inequality is given by ;
1200 - 25 ≤ 4x ≤ 1200 + 25
1175 ≤ 4x ≤ 1225
If we divide by 4 through this inequality then ;
(1175/4) ≤ (4x/ 4) ≤ (1225/ 4)
or
293.75 ≤ x ≤ 306.25
The cost of one phone will lie between $293.75 and $306.25.
Therefore , the equation that models the cost x in dollars of a single phone is given by 293.75 ≤ x ≤ 306.25.
Learn more about inequalities here ;
https://brainly.com/question/25275758
#SPJ1
The length of a pool is 5 more than the width. The perimeter is 96. Whats is the are of the pool.
Answer:
569,75
Step-by-step explanation:
Find the value of x to the nearest tenth. 1086/π = x
x = 345.54545454 is the value of x to the nearest tenth. 1086/π = x
What is π ?
The circumference to diameter ratio of any circle is known as pi, and it is represented by the Greek letter p, or. No matter how big the circle is, this ratio will always be equal to pi. The value of pi in decimal notation is around 3.14.Why is pi so important?
It is a number that is just a little bit larger than three and represents the ratio of a circle's circumference to its diameter. We can better comprehend our cosmos thanks to the constant. A new idea for measuring angles and a new unit of measurement were both inspired by the definition of.1086/π = x
Put value of π = 22/7
1086/22/7 = x
x = 49.363636 × 7
x = 345.54545454
Learn more about pi
brainly.com/question/17775900
#SPJ4
How do you find and write y=x+17 in slope intercept form?
Answer:that is already in slope intercept form
Step-by-step explanation:
Answer:
y = x + 17
Step-by-step explanation:
Given equation,
→ y = x + 17
Now we have to,
→ write it in slope-intercept form.
The slope-intercept form,
→ y = mx + b
Let's solve the given problem,
→ y = mx + b
→ y = x + 17
(It's already in slope-intercept form)
Hence, the answer is y = x + 17.
PLEASE ANSWER THIS ASAP I NEED THE ANSWER ASAP!!
The relationship between 5 tablespoons of cocoa per 2 cups of milk is proportional(multiplicative). Let's represent the amount of tablespoons of cocoa we need for 1 cup of milk with x.
We can divide 5 by 2 in order to get x tablespoons for 1 cup of milk.
5 / 2 = 2.5
So, you need 2.5 tablespoons of cocoa for 1 cup of milk :)
need help solving ToT
Answer:
Again the answer is D
Step-by-step explanation:
Use the given conditions to write an equation for the line in point-slope form and general form.
Passing through (7,−9) and perpendicular to the line whose equation is
The equation of the line in point-slope form is
The equation of the line in general form is
The equation of the line in point-slope form is y = -1/3 x + 20/3 and 3y + x = 20
Equation of a lineThe equation of line perpendicular to another line in point slope form is expressed as;
y-y₁ = -1/m(x-x₁)
Given the equation of a line x -3y - 8 = 0
x - 3y = 8
-3y = -x + 8
y = 1/3x - 8/3
Slope m = 1/3
Substitute the point (-7, 9) and slope 1/3 into the equation
y-9 = -1/3(x-(-7))
y-9 = -1/3(x+7)
3(y-9) = -(x+7)
3y-27 = -x -7
3y = -x + 20
y = -1/3 x + 20/3
Write in general form.
3y = -x + 20
3y + x = 20
Hence the equation of the line in point-slope form is y = -1/3 x + 20/3 and 3y + x = 20
Learn more on equation of a line here: https://brainly.com/question/13763238
#SPJ1
whats 8 3/4 as a decimal
Answer:8.75
Step-by-step explanation:
3/4=0.75
0.75+8=8.75
The radius, diameter, or circumference of a circle is given. Find the missing measure to the nearest hundredth.
d = 8 1/2in., r=?, C=?
The missing measure to the nearest hundredth is r = 2.25 in, C = 14.13 in.
What is circumference of circle?A circle's outside boundary is called the circumference and can be measured, or calculated, by using
Circumference = 2πr
where r is the radius of circle.
Now it is given that,
Diameter of circle, d = 8 1/2 in = 9/2 in
So, radius of circle, r = d/2 = 9/4 in
⇒ r = 2.25 in
Therefore,
∵ Circumference of circle, C = 2πr
∴ Circumference of circle, C = 2π*9/4
⇒ Circumference of circle, C = 14.130 in
Thus, the missing measure to the nearest hundredth is r = 2.25 in, C = 14.13 in.
To learn more about circle :
https://brainly.com/question/13663465
#SPJ4
Question below, please answer if you know :)
The final coordinates of the triangle are A''(x, y) = (3, 2), B''(x, y) = (- 1, 4) and C''(x, y) = (2, 0), respectively.
What are the coordinates of the vertices of the image derived from transformation rules?
In this question we know the coordinates of the three vertices of the triangle, whose image must be generated by combining reflection across y-axis and translation, two kinds of rigid transformations, whose formulas are summarized below:
Reflection across y-axis
P'(x, y) = P(x, y) + (- 2 · p, 0) (1)
Translation
P'(x, y) = P(x, y) + T(x, y) (2)
Where:
P(x, y) - Original pointP'(x, y) - Resulting pointT(x, y) - Translation vectorp - x-Coordinate of the original point.If we know that A(x, y) = (1, - 3), B(x, y) = (5, - 1) and C(x, y) = (2, - 5), then the final coordinates are:
Reflection across y-axis
A'(x, y) = (1, - 3) + (- 2, 0)
A'(x, y) = (- 1, - 3)
B'(x, y) = (5, - 1) + (- 10, 0)
B'(x, y) = (- 5, - 1)
C'(x, y) = (2, - 5) + (- 4, 0)
C'(x, y) = (- 2, - 5)
Translation
A''(x, y) = (- 1, - 3) + (4, 5)
A''(x, y) = (3, 2)
B''(x, y) = (- 5, - 1) + (4, 5)
B''(x, y) = (- 1, 4)
C''(x, y) = (- 2, - 5) + (4, 5)
C''(x, y) = (2, 0)
The final coordinates of the triangle are A''(x, y) = (3, 2), B''(x, y) = (- 1, 4) and C''(x, y) = (2, 0), respectively.
To learn more on rigid transformations: https://brainly.com/question/1761538
#SPJ1
Solve each equation. Check the solution. 3/b+2 = 6/b-1
The solution of the given equation 3/b+2 = 6/b-1 is found to be (y = -5).
What is termed as cross multiplication?The numerator of the 1st fraction is multiplied by denominator of the 2nd fraction, and the numerator of the 2nd fraction is multiplied by denominator of the 1st fraction in cross-multiplication.
During cross multiplication, denominators are removed.It is used to compare fraction sizes and solve proportional as well as percentage problems.In proportion problems, it is common to have an absent value or variable.After having removed the denominators using cross multiplication, mathematics skills are used to solve for the missing variable once more.Proportion and percentage problems have been solved in the same way.Now, for the given equation in the question;
3/b+2 = 6/b-1
Cross multiplying the terms;
3(b - 1) = 6(b + 2)
Opening the brackets;
3b - 3 = 6b + 12
Bring the variables and constants on the different sides.
6b - 3b = -3 - 12
3b = -15
b = -5
Therefore, the solution of the stated equation 3/b+2 = 6/b-1 is found to be (b = -5).
To know more about the cross multiplication, here
https://brainly.com/question/23064464
#SPJ4
Brian spent 14 minutes washing the dishes. That was 35% of the total number of minutes he spent doing chores.
How many minutes did Brian spend doing chores?
Answer: I got my answer by dividing 14 by 35, then multiplying by 100.
Answer: 250 minutes.
Step-by-step explanation: You make a fraction.
Actual time / Percentage
Then you multiply that by 100.
rewrite (1)/(6)x^(3)y+(5)/(6)xy^(2) using a common factor.
The equivalent expression of the given expression is (x^3y + 5xy^2)/6
How to rewrite the expression?The expression is given as:
(1)/(6)x^(3)y+(5)/(6)xy^(2)
Rewrite properly as
1/6x^3y + 5/6xy^2
Take the LCM
So, we have
(x^3y + 5xy^2)/6
Hence, the equivalent expression of the given expression is (x^3y + 5xy^2)/6
Read more about equivalent expression at
https://brainly.com/question/2972832
#SPJ1
2x_____=2x10^=______ please help!!!!!!!!!!!!
We have the expression to be written as 2 × 10 = 2 x 10^ 1 = 20
What is index form?
The index form of a number can be defined as that number written as an exponential expression.
It is also said to be a single number that is raised to another number.
Given the expression;
2x _____ = 2 x 10^ 1 = ______
It is important to note that a number raised to the power 1 is that same number, so we have;
2 × 10
2 x 10^1 = 2 × 10
2 × 10 = 20
Thus, we have the expression to be written as 2 × 10 = 2 x 10^ 1 = 20
Learn more about index form here:
https://brainly.com/question/15361818
#SPJ1
The half-life of nickel-63 is 92 years. The amount of nickel-63 in a sample is .670 g. How much nickel-63
would be left after 460 years?
[tex]\textit{Amount for Exponential Decay using Half-Life} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &\stackrel{grams}{0.67}\\ t=\textit{elapsed time}\dotfill &\stackrel{years}{460}\\ h=\textit{half-life}\dotfill &\stackrel{years}{92} \end{cases} \\\\\\ A=0.67\left( \frac{1}{2} \right)^{\frac{460}{92}}\implies A=0.67\left( \frac{1}{2} \right)^5\implies A\approx 0.021~grams[/tex]
Find the greatest common factor of 24, 40 and 60.
Answer:
GCF of numbers 24, 40, 60 is 4
GCF(24, 40, 60) = 4
Pls help I'll mark brainliest and it's 20 points, very important!
Melanie wants to rent a bike on her vacation for less than $50. At Mike's Bike Shop, she can rent a bike for $8 per hour plus a $6 flat fee. Any portion of an hour is charged as a full hour.
The inequality that represents this situation is 8h+6<50, where h represents the number of hours Melanie rents the bike.
What does the solution for the inequality mean in relation to the situation
The solution h<5.5 means that Melanie can rent the bike for no more than 5.5 hours.
he solution h<7 means that Melanie can rent the bike for no more than 7 hours.
The solution h<5.5 means that Melanie can rent the bike for no more than 5 hours.
Answer:
The solution h < 5.5 means that Melanie can rent the bike for no more than 5.5 hours.
Hope this helps :)
Explanation and Check part below.
Step-by-step explanation:
1. Isolate the variable by doing the inverse operation which is in this case subtracting 6 on bothsides of the equation.
8h + 6 < 50
- 6 - 6
8h < 44
2. Dive both sides of the equation by 8.
8h < 44
--- ----- <--------- fraction bar, divide
8 8
h < 5.5
There are 63 books on the bookshelf. There
are 9 books on each shelf. How many
shelves are there?
Answer:
there are 7 shelves. 9 x 7=63
Answer:
the answer is 7 shelves
Step-by-step explanation:
63÷9=7
Write a function rule for the direct variation in the table.
The function rule for the direct variation in the table is [tex]y = 24/x[/tex] , indirect variation ; x = 2.4.
What is direct variation?Direct variation is the change in one quantity as a result of the change in another. This suggests that if one quantity rises or falls, the other must rise or fall correspondingly as well.
The formula y = kx is used to answer direct variation questions. If finding the proportionality constant is necessary, the answer is obtained by dividing y by x.
To learn more about direct variation from the given link:
brainly.com/question/14254277
#SPJ4
