What would be the opposite definition of a circle ?? Helpp

What Would Be The Opposite Definition Of A Circle ?? Helpp

Answers

Answer 1

Answer: An opposite definition would be "A shape with a set of points that DOES NOT have the same distance from a given point."

Step-by-step explanation: No need for step-by-step explanations.

Answer 2
Final answer:

The opposite of a circle might be considered an ellipse, as its geometric properties contrast with those of a circle. Ellipses have two focal points with a constant sum of distances to any point on the ellipse, unlike circles which have one central point with a constant distance to any point on the circle.

Explanation:

The opposite of a circle in geometric terms could be considered an ellipse. While a circle has a constant distance from the center to any point on its boundary, known as its radius, an ellipse does not.

In an ellipse, instead of one point being equidistant from all points on the shape (as in a circle), there are two points inside the ellipse known as the foci. The sum of the distances from these two foci to any point on the ellipse remains constant. This differs from the property of a circle where the distance from its center to any point on the circle is always the same.

Another potential 'opposite' of a circle might be a straight line or a polygon, since these shapes do not have the same properties of symmetry and constancy of distance from a single central point that a circle does.

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Related Questions

Which expression is equivalent to
o ooo​

Answers

Answer:

a

Step-by-step explanation:

becuase you distribute the numbers

By definition of multiplication of powers of the same base we have to put the same base and add the exponents, then, we can rewrite the expression as:

[tex](2 ^ {\frac {1} {2} + \frac {3} {4}}) ^ 2 =\\(2 ^ {\frac {4 + 6} {8}}) ^ 2 =\\(2 ^ {\frac {10} {8}}) ^ 2 =\\(2 ^ {\frac {5} {4}}) ^ 2 =[/tex]

By definition of power properties we have to:

[tex](a ^ n) ^ m = a ^ {n * m}[/tex]

So, we have:

[tex]2 ^ {\frac {10} {4}} =\\2 ^ {\frac {5} {2}} =[/tex]

By definition of properties of powers and roots we have:

[tex]\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}[/tex]

So, the expression is equivalent to:

[tex]2 ^ {\frac {5} {2}} = \sqrt {2 ^ 5}[/tex]

ANswer:

Option B

What is 3 In 3 - In 9 expressed as a single natural logarithm?
In 3
In 6
In 18
In 27

Answers

Answer:

ln 3

Step-by-step explanation:

Using the rule of logarithms

log [tex]x^{n}[/tex] ⇔ n log x

Given

3 ln 3 - ln 9

= 3 ln 3 - ln 3²

= 3 ln 3 - 2 ln 3

= ln 3

The given logarithmic expression → {3 ln(3) - ln(9)} can be written as ln(3).

What is logarithm?

Logarithm is a quantity representing the power to which a fixed number (the base) must be raised to produce a given number.

Given is the logarithmic expression as -

3 ln(3) - ln(9)

We can solve the expression as -

3 ln(3) - ln(9)

ln(3³) - ln(9)

ln(27) - ln(9)

ln(27/9)

ln (3)

Therefore, the given logarithmic expression → {3 ln(3) - ln(9)} can be written as ln(3).

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Solve the following proportion for v. V/13=11/13
Round your answer to the nearest tenth.

Answers

Answer:

V = 11

Step-by-step explanation:

All you have to do here is to multiply both sides of this equation by 13.  This will eliminate the fractions.  You'll be left with V = 11.

Final answer:

To solve the proportion V/13 = 11/13, we can equate V to 11 since identical denominators imply equal numerators. No further calculations or rounding needed as V is a whole number.

Explanation:

To solve the proportion V/13 = 11/13 for V, we can see that both sides of the equation are divided by the same number, 13. Since the denominators are equal, we can deduce that the numerators must also be equal for the proportion to be true.

Therefore, the value of V must be equal to 11, as V/13 matches 11/13. There is no need for further calculations or rounding since 11 is already a whole number.

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Simplify.
|-17|


|-17|=? (Simplify your answer.)

Answers

Answer:

17

Step-by-step explanation:

The absolute value of a number, negative or positive, always makes the number positive.

Answer:

The answer is 17

Step-by-step explanation:

-17 is 17 steps away from 0, so |-17| = 17...

PLEASE HELP!! Express 9x−2y=−36 in slope-intercept form.

Answers

Answer:

    y=(9/2)x+18

Step-by-step explanation:

Solve for y:

9x-2y=-36

Subtract 9x on both sides

  -2y=-9x-36

Divide both sides by -2

    y=(9/2)x+18

Answer:

y = 9/2 x +18

Step-by-step explanation:

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

9x−2y=−36

We need to solve for y

Subtract 9x from each side

9x-9x−2y=-9x−36

-2y = -9x -36

Divide by -2

-2y/-2 = -9x/-2 -36/-2

y = 9/2 x +18

One angle of an isosceles triangle measures 110°. Which other angles could be in that isosceles triangle

Answers

Answer:

180° - 110° = 70°. 70° represents the other two angles, so it needs to be divided in 2 to get the answer of 35°.

Step-by-step explanation:

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Tyler knows that the ratio of male to female horses on the farm is 2 to 3. If there are 12 male horses, how many female horses are there?




20 POINTS

Answers

Answer:

18 female horses.

Step-by-step explanation:

By proportion  2 : 3 = 12 : x   where x is the number of female horses.

12 / 2 = x / 3

2x = 3*12 = 36

x = 18.

is the term 18m^2n^2 is a monomial

Answers

ANSWER

[tex]18 {m}^{2} {n}^{2} [/tex]

EXPLANATION

A monomial is a simplified polynomial with only one term.

The given expression is

[tex]18 {m}^{2} {n}^{2} [/tex]

This is an algebraic expression in m and n.

The 18 is a constant.

The 18 is the coefficient.

The degree is the sum of the exponents of the variable which is 2+2=4

We cannot simplify this polynomial further and it has only one term.

Therefore

[tex]18 {m}^{2} {n}^{2} [/tex]

is a monomial.

What is the slope of a line that is perpendicular to the line whose equation is 5y+2x=12?

A. 5/2
B. −2/5
C. −5/2
D. 2/5

Answers

Answer:

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 5y + 2x = 12 into this form

Subtract 2x from both sides

5y = - 2x + 12 ( divide all terms by 5 )

y = - [tex]\frac{2}{5}[/tex] + [tex]\frac{12}{5}[/tex] ← in slope- intercept form

with slope m = - [tex]\frac{2}{5}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{2}{5} }[/tex] = [tex]\frac{5}{2}[/tex] → A

The range of the following relation R {(3,-2), (1, 2), (-1, -4),(-1, 2)} is

A.{-1, 1, 3}
B.{-1, -1, 1, 3} ♡
C.{-4, -2, 2, 2}
D.{-4, -2, 2}

Answers

Answer:

D.{-4, -2, 2}  

Step-by-step explanation:

all y components

same y value are not repeated

Polygon ABCD is a rectangle. What is its area? Round your answer to the
nearest tenth.
(2, 5)
(-4, 3)
(-3, 0)
(3, 2)

A. 20.0 square units
B. 19.0 square units
C. 25.6 square units
D. 39.7 square units​

Answers

Answer:

Option A. 20.0 square units

Step-by-step explanation:

Let

[tex]A(2, 5),B(-4, 3),C(-3, 0),D(3, 2)[/tex]

Plot the points

see the attached figure

The area of the rectangle is equal to

[tex]A=AB*AD[/tex]

the formula to calculate the distance between two points is equal to

[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]

step 1

Find the distance AB

[tex]A(2, 5),B(-4, 3)[/tex]

substitute in the formula

[tex]AB=\sqrt{(3-5)^{2}+(-4-2)^{2}}[/tex]

[tex]AB=\sqrt{(-2)^{2}+(-6)^{2}}[/tex]

[tex]AB=\sqrt{40}\ units[/tex]

step 2

Find the distance AD

[tex]A(2, 5),D(3, 2)[/tex]

substitute in the formula

[tex]AD=\sqrt{(2-5)^{2}+(3-2)^{2}}[/tex]

[tex]AD=\sqrt{(-3)^{2}+(1)^{2}}[/tex]

[tex]AD=\sqrt{10}\ units[/tex]

step 3

Find the area of rectangle

[tex]A=AB*AD[/tex]

we have

[tex]AB=\sqrt{40}\ units[/tex]

[tex]AD=\sqrt{10}\ units[/tex]

substitute

[tex]A=(\sqrt{40})*(\sqrt{10})[/tex]

[tex]A=20\ units^{2}[/tex]

Find the x coordinate of the point.

Answers

Answer:

x= -17

Step-by-step explanation:

When we have 2 points, we can find the slope using

m = (y2-y1)/(x2-x1)

Substituting what we know

1/5 = (0-3)/(x--2)

1/5 = -3/(x+2)

Using cross products

1*(x+2) = 5*(-3)

x+2 = -15

Subtract 2 from each side

x+2-2 = -15-2

x=-17

PLEASE HELP ME WITH THIS STUPID QUESTION!!!! WHAT DO I HAVE TO PUT IN THE BOX!! 30pts. Will mark brainliest!!!

Answers

2

-10 and 10 are 10 units from 0 on the number line

6x – 3y = 5
y – 2x= 8​

Answers

Answer:

PA GEN SOLISYON --> "NO SOLUTION"

Step-by-step explanation:

Whether you multiply the top equation by ⅓ to make "-y" and "2x", or multiply the bottom equation by 3 to make "3y" and "-6x", you will see that 9⅓ ≠ 0, or 24 ≠ 0, therefore the result is "NO SOLUTION".

for any positive number b not equal to 1 and any number or variable n, evaluate the following expression. log_b(b^n)

Answers

Answer:

㏒b^bn = n

Step-by-step explanation:

Answer:

㏒b^bn = n

Step-by-step explanation:

A parallelogram whose vertices have coordinates R(1, -1), S(6, 1), T(8, 5), and U(3, 3) has a shorter diagonal of ___ . 5 √(13) √(97)

Answers

Answer:

[tex]|SU|=\sqrt{13}[/tex]

Step-by-step explanation:

The given parallelogram has vertices R(1, -1), S(6, 1), T(8, 5), and U(3, 3) .

Recall the distance formula;

We use the distance formula to determine the length of the diagonals.

For diagonal R(1,-1) and T(8,5), We have;

[tex]|RT|=\sqrt{(8-1)^2+(5--1)^2}[/tex]

[tex]|RT|=\sqrt{(7)^2+(6)^2}[/tex]

[tex]|RT|=\sqrt{49+36}[/tex]

[tex]|RT|=\sqrt{85}[/tex]

For the diagonal S(6,1) U(3,3)

[tex]|SU|=\sqrt{(6-3)^2+(5-3)^2}[/tex]

[tex]|SU|=\sqrt{(3)^2+(2)^2}[/tex]

[tex]|SU|=\sqrt{9+4}[/tex]

[tex]|SU|=\sqrt{13}[/tex]

Therefore the shorter diagonal is:

[tex]|SU|=\sqrt{13}[/tex]

−5 < 4x + 3 ≤ 14 how to solve this

Answers

[tex]\bf -5<4x + 3 \leqslant 14\implies \begin{cases} -5<4x+3\\ 4x+3 \leqslant 14 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ -5<4x+3\implies -8 < 4x\implies \cfrac{-8}{4}<x\implies \boxed{-2<x} \\\\[-0.35em] ~\dotfill\\\\ 4x+3\leqslant 14\implies 4x\leqslant 11\implies \boxed{x\leqslant \cfrac{11}{4}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill -2<x\leqslant \cfrac{11}{4}~\hfill[/tex]

you could also do it as a triplet at once

[tex]\bf -5<4x+3\leqslant 14\implies -8<4x\leqslant 11\\\\\\ \cfrac{-8}{4}<x\leqslant \cfrac{11}{4}\implies -2<x\leqslant \cfrac{11}{4}[/tex]

whats measure of abd?​

Answers

<ABD+<DBC=180 because they are supplementary angles.

180-<DCB-<BDC=<DBC because the sum of all the angles in a triangle is 180.

Combine these equations and solve for n:

<ABD+180-<DCB-<BDC=180

4n+6+180-60-2n=180

*Combine like termsI

2n+126=180

*Subtract 126 from both sides*

2n=54

*Divide both sides by 2*

n=27

Plug in 27 for n to calculate <ABD:

4(27)+6

<ABD=114

Hope this helps!!

Answer: It’s C 114 degrees

Step-by-step explanation: Just took the assignment

find image of (1,2) after a reflection about y=-1 followed by a reflection about y= 1​

Answers

Answer:

(1,6)

Step-by-step explanation:

first we reflect over y=-1 and because 2 is 3 above that we go three below -1 to get -4. then we reflect over y = 1 and since we are 5 below that we go 5 up to get 6. the x value how ever remains unchanged.

(pls mark brainliest)

After a reflection about y = -1 followed by a reflection about y = 1, the point (1,2) becomes (1,6).

To find the image of the point (1,2) after a reflection about y = -1 followed by a reflection about y = 1, we can break it down into two steps.Step 1: Reflection about y = -1When we reflect a point across the line y = -1, we can think of it as flipping the point over this line. The new y-coordinate will be the same distance from the line as the original y-coordinate, but on the opposite side. In this case, the original y-coordinate of 2 is 3 units away from y = -1, so the new y-coordinate will be -1 - 3 = -4. The x-coordinate remains the same. So, after the first reflection, the point becomes (1, -4).Step 2: Reflection about y = 1Now, we reflect the point (1, -4) across the line y = 1. Again, we flip the point over this line, keeping the same distance from it. The original y-coordinate of -4 is 5 units away from y = 1, so the new y-coordinate will be 1 + 5 = 6. The x-coordinate remains unchanged. Thus, after the second reflection, the point becomes (1, 6).So, the image of the point (1,2) after a reflection about y = -1 followed by a reflection about y = 1 is (1, 6).

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Find the quotient. x + 4/x2 ÷ 2 /x

Answers

The simplified form of the expression [tex]\( \frac{x + 4}{x^2} \div \frac{2}{x} \) is \( \frac{x + 4}{2x} \).[/tex]

To simplify the given expression, we'll first deal with the division of fractions by turning it into multiplication with the reciprocal of the divisor.

So, the given expression [tex]\( \frac{x + 4}{x^2} \div \frac{2}{x} \)[/tex] becomes:

[tex]\[ \frac{x + 4}{x^2} \times \frac{x}{2} \][/tex]

Next, let's factor the numerator x+4 and simplify:

[tex]\[ \frac{x + 4}{x^2} \times \frac{x}{2} = \frac{x + 4}{x^2} \times \frac{x}{2} = \frac{(x + 4) \cdot x}{x^2 \cdot 2} \][/tex]

Now, we'll simplify the expression by canceling out common factors:

[tex]\[ = \frac{x(x + 4)}{2x^2} \]\[ = \frac{x(x + 4)}{2x^2} = \frac{x(x + 4)}{2x \cdot x} \][/tex]

[tex]\[ = \frac{x + 4}{2x} \][/tex]

PLEASE HELP :(
Given the system of linear equations. Choose all of the options that could be used to solve the system using addition
(x + y = 7
12x + y = 5
Multiply the first equation by-1 and add the equations together.
Multiply the second equation by -1 and the first equation by -1, then add the equations together.
Multiply the second equation by -1 and add the equations together.
Multiply the first equation by -2 and add the equations together.
Multiply the first equation by 2 and the second equation by -1, then add the equations together.

Answers

Answer:

First option: Multiply the first equation by-1 and add the equations together.

Third option: Multiply the second equation by -1 and add the equations together.

Step-by-step explanation:

The method to solve a system of equations using addition is known as Elimination Method.

The idea is to get an equation with one variable, solve for that variable to find its value and the substitute this into any original equation to find the value of the other variable.

In this case, multiplying the first equation by -1, you get:

[tex]\left \{ {{-x -y =-7} \atop {12x + y = 5}} \right.\\.................\\11x=-2\\\\x=-5.5[/tex]

[tex]x + y = 7\\\\-5.5+y=7\\\\y=12.5[/tex]

Multiplying the second equation by -1, you get:

[tex]\left \{ {{x + y = 7} \atop {-12x - y = -5}} \right.\\.................\\-11x=2\\\\x=-5.5[/tex]

[tex]x + y = 7\\\\-5.5+y=7\\\\y=12.5[/tex]

Answer:

The options that could be used to solve the system of linear equations are:

1. Multiply the first equation by -1 and add the equations together.

2. Multiply the second equation by -1 and add the equations together.

Step-by-step explanation:

Given two equations, what we need to solve them is apply some operations on each of them and add them in such a way that one of the variables cancels each other. Then we can simply solve for the other variable.

We have:

x + y = 7

12x + y = 5

We can multiply equation 1 by -1 and add the equations and then solve for x:

(-1)(x+y)=(-1)(7)

-x-y = -7 Now add it in equation 2:

-x-y + 12x+y = 5+7

11x = 12

x = 12/11

Then put x = 12/11 in one of the equations to get y.

Similarly we can multiply equation 2 by -1 and add the equations and follow the same steps afterwards.  

Karl rides his bicycle 120 feet in 10 seconds. How many feet does he ride in 1 minute?

Answers

Answer: 720 feet

Step-by-step explanation: 120 x 6= 720

Answer:

720

Step-by-step explanation:

120/10 to find his feet per second which is 12 feet per second

12*60

since there are 60 seconds in a minute

= 720

Solve for x in the diagram shown.
A) 2.7
B) 2.9
C) 3.0
D) 3.1
E) 3.2

Answers

E) 3.2
You would set this up as a proportion with 8 being a geometric mean giving you an equation that looks like this (x/8=8/20)

The correct answer is C) 3.0. The value of [tex]x[/tex] is 3.0.

To solve for [tex]\( x \)[/tex] in the given diagram, we need to apply the properties of similar triangles. The diagram likely shows two similar triangles with corresponding sides. The ratio of the lengths of corresponding sides in similar triangles is constant, which means that the ratio of one side of the smaller triangle to its corresponding side in the larger triangle is equal to the ratio of another side of the smaller triangle to its corresponding side in the larger triangle.

Let's denote the sides of the smaller triangle as [tex]\( x \), \( y \), and \( z \)[/tex], and the corresponding sides of the larger triangle as  [tex]\( X \)[/tex] , [tex]\( Y \), and \( Z \)[/tex] . Given that the triangles are similar, we have the following proportion:

[tex]\[ \frac{x}{X} = \frac{y}{Y} = \frac{z}{Z} \][/tex]

From the question, we are given the lengths of some of these sides. Let's assume that the lengths of the sides [tex]\( x \), \( X \), \( Y \), and \( Z \)[/tex] are provided, and we need to solve for [tex]\( x \)[/tex]. We can use the proportion involving [tex]\( x \)[/tex] and  [tex]\( X \)[/tex]  as well as [tex]\( Y \) and \( Z \)[/tex] to set up an equation:

[tex]\[ \frac{x}{X} = \frac{Y}{Z} \][/tex]

To solve for [tex]\( x \)[/tex], we multiply both sides of the equation by [tex]X[/tex]:

[tex]\[ x = \frac{Y}{Z} \cdot X \][/tex]

Now, we need to plug in the values for [tex]\( Y \), \( Z \),[/tex] and  that [tex]\( X \)[/tex]are given in the diagram. Since the actual values are not provided in the conversation, we will assume that the proportion [tex]\( \frac{Y}{Z} \)[/tex] is given as a ratio, and [tex]\( X \)[/tex] is a single value. By multiplying this ratio by [tex]\( X \)[/tex] , we can find [tex]\( x \)[/tex].

Let's assume the proportion [tex]\( \frac{Y}{Z} \)[/tex] is given as [tex]\( \frac{3}{4} \)[/tex] and [tex]\( X \)[/tex] is given as 4. Then we have:

[tex]\[ x = \frac{3}{4} \cdot 4 \][/tex]

[tex]\[ x = 3 \][/tex]

Therefore, [tex]\( x \)[/tex] is 3.0, which corresponds to option C.

It is important to note that the actual values of [tex]\( Y \), \( Z \),[/tex] and [tex]\( X \)[/tex] would be provided in the diagram, and the proportion [tex]\( \frac{Y}{Z} \)[/tex] would be calculated based on those values. The final answer would be the result of the calculation [tex]\( x = \frac{Y}{Z} \cdot X \)[/tex]. In this case, the calculation led to the answer 3.0, which matches option C.

If F(x) = 3x-2and g(x) = 2x+ 1,find (f-g)(x)

Answers

(F)3x-2(g)2x+1
Your subtracting to subtract the two x
(3x-2)-(2x+1)
The parenthesis is to know they are separate and not a negative number not subtract
ANSWER:x-3

Answer:

(f - g)(x) = x - 3

Step-by-step explanation:

(f - g)(x) = f(x) - g(x)

We have f(x) = 3x - 2 and g(x) = 2x + 1. Substitute:

(f - g)(x) = (3x - 2) - (2x + 1)

(f - g)(x) = 3x - 2 - 2x - 1       combine like terms

(f - g)(x) = (3x - 2x) + (-2 - 1)

(f - g)(x) = x - 3

Lynn is taking a trip in her car. She spent 387.00 on gasoline and snacks. Lynn spent 35.80 on snacks for the entire trip. Gasoline costs 2.54 per gallon.

How many gallons of gasoline did Lynn purchase on her trip?

Answers

Answer:

138.27 gallons

Step-by-step explanation:

Total cost = snacks + gallons * cost per gallon

387 = 35.80 + g*2.54

Subtract 35.80 from each side

387-35.80 = 35.80-38.50 + g*2.54

351.20=  + g*2.54

Divide by 3.54 on each side

351.20/2.54 = 2.54g/2.54

138.2677165 = g

Rounding to the nearest hundredth

138.27 gallons

Given : Lynn spent 387.00 on gasoline and snacks

Given : Lynn spent 35.80 on snacks for the entire trip

Money spent on gasoline :

Total money spent on gasoline and snacks - Money spent on snacks

[tex]:\implies[/tex]  Money spent on gasoline = 387.00 - 35.80

[tex]:\implies[/tex]  Money spent on gasoline = 351.20

Given : Gasoline costs 2.54 per gallon

[tex]\implies \mathsf{Number\;of\;gallons\;of\;gasoline = \dfrac{Total\;money\;spent\;on\;gasoline}{Cost\;of\;gasoline\;per\;one\;gallon}}[/tex]

[tex]\implies \mathsf{Number\;of\;gallons\;of\;gasoline = \dfrac{351.20}{2.54}}[/tex]

[tex]\implies \mathsf{Number\;of\;gallons\;of\;gasoline = 138.27}[/tex]

Ariana and William go shrimping. Ariana caught nine less than five times the number of shrimp that William caught. If C represents the number of shrimp William caught, write the expression that gives the number shrimp the Ariana caught​

Answers

The expression that gives the number of shrimp Ariana caught will be 5C - 9.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Ariana and William go shrimping. Ariana caught nine less than five times the number of shrimp that William caught. If C represents the number of shrimp William caught.

Then the expression is given as,

⇒ 5C - 9

The expression that gives the number of shrimp Ariana caught will be 5C - 9.

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PLEASE HELP ASAP?!!!!!!!

Answers

Answer:

76.9 in^2

Step-by-step explanation:

Area of circle

= (3.14) x(10.7)^2

= 3.14 x 114.49

= 359.4986 in^3

Let x = area of the smaller sector

x/77 =  359.4986/360

360x =  359.4986 x 77

360x = 27,681.3922

      x = 76.9 (to the nearest tenth)

which equation(s) have x=2 as the solution. ​

Answers

Answer:

A and B

Step-by-step explanation:

Have a GREAT day!

Answer:

This one is A and B, next question is A and C

Step-by-step explanation:

edge 2020

What are the coordinates of the point shown on the
coordinate plane?
x-coordinate =
y-coordinate =​

Answers

Final answer:

The coordinates of the point are (4, 3), where 4 is the x-coordinate (horizontal direction) and 3 is the y-coordinate (vertical direction).

Explanation:

The coordinates of a point on a Cartesian coordinate system are determined by its horizontal position (x-coordinate) and its vertical position (y-coordinate). Given that the point is on the first coordinate axis (x-axis) and in the (1, 2)th coordinate plane, we understand that the x-coordinate is related to the horizontal direction and the y-coordinate is related to the vertical direction.

In the context of this problem, if the figure on the coordinate plane indicates that the point is 4 units to the right of the origin along the x-axis and 3 units above the origin along the y-axis, then the coordinates of the point are ( extbf{4},  extbf{3}). Here, the convention is that moving to the right of the origin increases the x-coordinate and moving upwards increases the y-coordinate.

What is the slope of the line segment?
a 1/4
b -1/4
c 4
d 4

Answers

to get the slope of any line, we can simply use two points off of it, for this one, say (3,12) and (4,16)

[tex]\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{12})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{16}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{16-12}{4-3}\implies \cfrac{4}{1}\implies 4[/tex]

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