The Roebling Suspension Bridge extends over the Ohio River connecting Cincinnati, Ohio, to Covington, Kentucky. Describe the type of lines formed by the bridge and the river.

Answer:

if I can't explain in one line, then I will include the steps in the explanation.

Step-by-step explanation(Q3):

[tex]3^2-\left(5-3\right)^3+6\\5-3=2\\3^2-2^3+6\\3^2=9\\9-2^3+6\\2^3=8\\9-8+6\\9-8=1\\1+6\\1+6=7\\=7[/tex]

Hope it helps!

The required error in Caroline's quadratic equation in vertex form by completing the square is -2(x² - 6x + 9) - 9 - 15 is should be -18 in place of -9.

Given that,
To figure out the error made by Caroline in the calculation of a quadratic equation in vertex form by completing the square.

His calculation,
= -2x² + 12x - 15

= -2(x² - 6x) — 15

= -2(x² - 6x + 9) - 9 - 15-2(x - 3)²9 - 15
= -2(x - 3)² - 24

Correct calculation,
= -2x² + 12x - 15
= -2(x² - 6x) - 15

= -2(x² - 6x + 9) - 18 - 15
= -2(x - 3)² - 18 - 15
= -2(x - 3)² - 33

Thus, the required error in Caroline's quadratic equation in vertex form by completing the square is -2(x² - 6x + 9) - 9 - 15 is should be -18 in place of -9.

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Answer:

x = 5

Step-by-step explanation:

Change "minus a negative" to "plus a positive"

x - (-3) = 8

x + 3 = 8

Next, subtract 3 from both sides.

x + 3 - 3 = 8 - 3

x = 5

Check it!

x - (-3) = 8

5 - (-3) = 8

5 + 3 = 8

8 = 8 Check!

Answer:

5000.00 gives us 350

4000.00 gives us 360

The number of units manufactured at a cost of $8900 will be 104 units.

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

If the cost, C(x), for manufacturing x units of a certain product is given by

C(x) = x² - 19x + 60

The number of units manufactured at a cost of $8900 will be given by factorization.

x² - 19x + 60 = 8900

x² - 19x - 8840 = 0

x² - 104x + 85x - 8840 = 0

x(x - 104) + 85(x - 104) = 0

(x - 104)(x + 85) = 0

x = 104, -85

The number of units manufactured at a cost of $8900 will be 104 units.

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You can see the graphs in the attached image. The order is the same as on page. Note that 7. and 8. give us an infinite number of solutions, and no solutions, respectively.

The two numbers whose sum is 52 and the product is maximum are 26 and 26.

Finding the least common multiples of the denominator expressions can help. Then using the similar method as we use in the sum of fractions would give the sum of algebraic fractions.

We need to find the two numbers whose sum is 52 and the product is maximum.

So, the multiples of 52 are

2, 26, 4, 13,

So, here we can see that the sum of 26 to itself would be equal to 52.

26 + 26 = 52

The product is also maximum compared to others.

26 x 26 = 676

Therefore, the two numbers are 26 and 26.

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Answer:

9/28 of the lawn is left

Step-by-step explanation:

Make 3/7 and 1/4 have the same denominator

3/7 becomes 12/28 and 1/4 becomes 7/28

added together is 19/28

The expression is simplified to n - 16/ 4

Algebraic expressions are expressions comprising of terms, variables, factors, constants and coefficients.

They are also made up of mathematical operations such as addition, subtraction, multiplication, division, bracket, etc.

Given the expression;

− 3/2(1/2 n+2n−3)+4n

Solve the variables in the bracket, we have;

- 3/ 2 {   n + 4n - 6 / 2} + 4n

-3/2 { 5n - 6/ 2 } + 4n

expand the bracket

- 15n - 18/ 4 + 4n

Fin the LCM

-15n - 16 + 16n  /4

n - 16/ 4

Thus, the expression is simplified to n - 16/ 4

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Answer:

Vertical: x = 1

Horiz: y = 8

Step-by-step explanation:

The equation of a

vertical line is always:

x = anumber

The equation of a horizontal line is in the form:

y = anumber

In the question a point is given, the point (1,8) is in the form (x,y) So x is 1 and y is 8.

We can fill in this given information to complete the equations.

Vertical: x = 1

Horizontal: y = 8

Answer:

why isnt there a backround base? it wouldnt be area if isnt so

Step-by-step explanation:

The area is 960 m

because 48*15=720

and 10*24=240

720+240= 960

The given sentence about equilateral triangle is true.

A statement is given in the question.

We have to tell whether the statement is true or false.

What is an equilateral triangle ?

An equilateral triangle is a triangle in which all sides and all angles are equal.

As per the question ;

The statement given is , "An equilateral triangle is always equiangular."

Let's check whether it is true or false ;

We know that ,

Equiangular meant equal angles and we know that all the angles of equilateral triangle are equal.

Also ;

An equilateral triangle can also said as an isosceles triangle, that meant any two sides that are equal have equal opposite angles.

So ;

All three sides of an equilateral triangle are equal, all three angles are equal, too. We can conclude that every equilateral triangle is also equiangular.

Thus , the given statement about equilateral triangle is true.

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The value of line AB is 550 meters.

So,

First, we'll prove that △BEA ≅ △DEC.

So, △BEA ≅ △DEC is under ASA condition.

Therefore, the value of AB is 550 meters.

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The width of the frame is 8 inches.

We are given that:

The measures of the rectangular painting are:

Length = 13 inches

width = 20 inches

Now, the frame is of uniform with around the corner.

Let it be x inches.

So the new dimensions will be:

Length = 13 + x inches

Width = 20 + x inches.

Also, we are given that:

Perimeter = 98 inches

So, we get that:

P = 2(l + b)

Substituting the values, we get that:

98 = 2 (13 + x + 20 + x)

98 = 2( 33 + 2 x)

98 = 66 + 4 x

4 x = 98 - 66

4 x = 32

x = 32 / 4

x = 8 inches.

Therefore, the width of the frame is 8 inches.

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The y-intercept, x-intercept and slope are 100, 350 and 2 / 7, respectively.

In accordance with the statement, the phone charge decreases linearly in time based on the following linear model:

c(x) = 100 - (Δy / Δx) · x

Where:

If we know that Δy = 2, Δx = 7, then the linear equation is:

c(x) = 100 - (2 / 7) · x

Then, the y-intercept, x-intercept and slope are, respectively:

y-intercept

b = 100

x-intercept

0 = 100 - (2 / 7) · x

(2 / 7) · x = 100

2 · x = 700

x = 350

Slope

m = 2 / 7

The y-intercept, x-intercept and slope are 100, 350 and 2 / 7, respectively.

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Answer: 1/10

Step-by-step explanation: -2/5+1/2=0.1

If we convert 0.1 into a fraction, it becomes 1/10.

Answer:

1/10 is the answer

The value of QR when points P, Q, R and S are collinear is .13

We are given that:

Points P, Q, R and S are collinear points.

Also,

PS = 23

PR = 18

We need to find the value for QR.

Now, we have that PQ is congruent to RS.

So, This means that PQ = RS

This can also be written as:

PR - QR = RS

18 - QR = RS

Also,

PR + RS = PS

Substituting the values, we get that:

18 + ( 18 - QR ) = 23

18 - QR = 23 - 18

18 - QR = 5

QR = 18 - 5

QR = 13

Therefore, we get that, the value of QR when points P, Q, R and S are collinear is .13

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Answer:

3. function, but not one to one

Step-by-step explanation:

If you do a vertical line test anywhere you draw a vertical line will only hit in one spot

If you do a horizontal line test to check If the line is one to one it hits in multiple spots therefore the line that is graphed is a function but not one to one

Answer:

[tex]g(x) = 2 {x}^{2} + 1 \\ g(0) = 2 ({0})^{2} + 1 \\ = 2(0) + 1 \\ = 1[/tex]

Answer: 3/4

Step-by-step explanation:

The slope of the line passing through the points (-3,3) and (5,9) is 3/4

The formula for calculating the slope of a line is expressed as:

Given the coordinate (-3,3) and (5,9), substitute the coordinates into the formula as shown below;

Hence the slope of the line passing through the points (-3,3) and (5,9) is 3/4

Answer:

2;3, that is the ratio =)

Step-by-step explanation:

Answer:The answer would be 4 to 6 or 4:6

Answer:8

Step-by-step explanation:

1

Natalie will be paid $656.61 for a week and for summer $10505.76.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that Natalie earns $15.27 per hour while working as a playground supervisor for 8 weeks throughout the summer. Although she works a 40-hour week, she typically puts in 3 hours of overtime.

For a week = ( 40 + 3 ) x 15.27 = $656.61

For a summer = 4 x 4 = 16 weeks

For a summer = 16 x $656.61 = $10505.76

Therefore, Natalie will be paid $656.61 for a week and for summer $10505.76.

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By solving the inequality we get [tex]y\leq -3[/tex]

What is graphing the inequality?

The act of illustrating which area of the number line contains values that will "satisfy" the specified inequality is known as graphing the inequality. Take a look at the first inequality, "x > -5." The numbers that can be used to substitute x in our inequality to produce a true statement can be shown on a graph of our inequality.

[tex]3y\leq -9[/tex]

Dividing above equation by 3 we get,

[tex]\frac{3y}{3}\leq \frac{-9}{3}\\y\leq -3[/tex]

Graph of [tex]y\leq -3[/tex] is

Therefore by solving the inequality we get [tex]y\leq -3[/tex]

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We can conclude that in the question, angle m∠ABC = 58°.

So,

∠EBD is 29° and line EB bisects ∠CBD.

Similarly, ∠CBD = 58° and line CB bisects ∠ABD

Hence, ∠ABC = 58° as ∠CBD is also 58° because common line BC bisects the angle ∠ABD.

Therefore, angle m ∠ABD = 58°.

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The size of angle is X=13

y + 98 =180(LP)

Y =180-98

Y=82

<AOB + <OAB + <OBA=180(Sum of all angles of triangles)

85 + X + 82 =180

167 + X =180

X = 180-167

X=13

In Euclidean geometry, any three points that are not collinear produce a singular triangle  angle and a singular plane (i.e. a two-dimensional Euclidean space). In other words, every triangle angle is contained in a plane, and there is only one plane that contains that triangle. All triangles  angle are enclosed in a single plane if all of the geometry is the Euclidean plane, however, this is no longer true in higher-dimensional Euclidean spaces.

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Step-by-step explanation:

the first answer is -3 the second answer is -2/3 outside -1

the correct statement is the first one.

The inverse of 6^2 is 6^(1/2), then 6^(1/2) is the square root of 6.

Well, this is just a notation thing.

We know the following property for exponents:

(a^n)^m = a^(n*m)

And we know that the square rooth is the inverse of the square power (exponent equal to 2) such that:

√x^2 = 2

Then if we define the square root as an exponent, let's say that is an exponent "a" we will have:

√x = x^a

Rewritting the above relation again, we can write:

√(x^2) = (x^2)^a = x^(2*a)

And we know that it must be equal to x, so we get:

x^(2*a) = x

This means that 2*a = 1

then a = 1/2

√x = x(1/2)

Then the correct statement is the first one.

The inverse of 6^2 is 6^(1/2), then 6^(1/2) is the square root of 6.

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10.50+1.50x=total cost

since they wanted 3 topings it would be x=3

10.50+(1.50*3)

simplify

10.50+4.50=15

I hope this helps

The linear functions that model the positions of the Python and of the Anaconda are given as follows:

A linear function is modeled by the following rule:

y = mx + b

In which:

For the functions in this problem, we have that:

Considering their velocities, and that when the Anaconda leaves the Python has already traveled half a mile, the functions are given as follows:

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