Compare √180 and 102/8 using <, >, or =.

f (9) =  15  is the output for the given input .

How can you tell whether a function is linear or not?

f(x)= 2 x   - 33

Put x = 9    ⇒   2 × 9  - 33

                ⇒     18 - 33

                ⇒       15

Therefore f (9) =  15

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Using substitution method, the solution of the given system of equations is (2,3)

A system of equation can be solved using:

The given system of equations:

5m - n = 7  ............   (1)

3 + 3n = 6m  .............. (2)

In equation (1), subtract 5m from both sides:

5m - n - 5m = 7 - 5m

-n = 7 - 5m

Multiply by (-1)

n = 5m - 7  ...... (3)

Substitute  n = 5m - 7 into equation (2)

3 + 3n = 6m

3 + 3(5m - 7) = 6m

15m -18 = 6m

9m = 18

m = 2

Substitute back m = 2 into equation (3)

n = 5m - 7

n = 5.(2) - 7 = 3

Hence, the solution is (2, 3)

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Three angles fit around a point, two of the angles are 115° and 53° , then the size of third angle would be 192° and it would be a reflex angle.

The sum of the angles around a point is 360 °

If the two angles are 115° and 53° , the sum of the two angles would be 168°

If we reduce the sum of the two angles from the total 360° , we get the size of third angle as 192°

As the size of third angle is more than 180° , so the name of the third angle is reflex angle because right angle is measured 90° , obtuse angle is measured more than 90° but less than 180° , reflex angle is measured more than 180° but less than 360° and acute angle is measured less than 90 °

Correct question is - Three angles fit around a point. Two of the angles are 115° and 53° . Work out the size of third angle and which of the words below describe the third angle

• Right angle

• Obtuse angle

• Reflex angle

• Acute angle

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Answer:

Step-by-step explanation:

4 + 4 = 4 so 9 is equal to 6

The solution for w in the equation is w = 2. therefore, the correct option is A; w = 2

An equation represents equality of two or more mathematical expression.

The solution of an equation refers to the values of the variables involved in that equation which if substituted in place of those variable would give a true mathematical statement.

WE have been given the equation: w + 1/2 = 1/4w + 2

Then to solve, Subtract 1/2 from both sides of the equation.

w=1/4w+1 1/2

Then Multiply both sides by 4

4w=w+6

Now Subtract w from both sides

3w=6

Now Divide both sides by 3

w=2

Therefore,  the solution for w in the equation is w = 2 , the correct option is A; w = 2

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[tex]\displaystyle\\Answer:\ y=-\frac{1}{3} x+5[/tex]

Step-by-step explanation:

Choose two points that belong to this graph: (0,5)  (3,4)

                    Formula for a straight line:

                            [tex]\displaystyle\\\boxed{\frac{x-x_1}{x_2-x_1}=\frac{y-y_1}{y_2-y_1} }[/tex]

[tex]\displaystyle\\x_1=0\ \ \ \ \ x_2=3\ \ \ \ \ y_1=5\ \ \ \ \ y_2=4\\\frac{x-0}{3-0} =\frac{y-5}{4-5} \\\\\frac{x}{3}=\frac{y-5}{-1}[/tex]

Multiply both parts of the equation by -1:

[tex]\displaystyle\\-\frac{x}{3}=y-5\\\\ -\frac{x}{3} +5=y-5+5\\\\-\frac{x}{3}+5=y\\\\y=-\frac{1}{3}x+5[/tex]

Answer:

1

Step-by-step explanation:

Answer:1

Step-by-step explanation:

Answer:

x intercept (0.5,0) & y intercept (0,-2)

Step-by-step explanation:

According to the question, the given inequality interval expression can be represented is as follows:

In the expression of interval that is [5,♾). The left hand side contain square brackets and the right side bracket contains infinity.

Therefore, the interval contains the numbers which tells the starting point and the endpoint. In this, the interval starts from the point 5 and it takes infinite values on the line graph.

What is interval?

Interval contains all the numbers between the two given number in the intervals. The two numbers represent the starting coordinate point and the endpoint. There are different ways to show intervals. Some of the ways are inequality, number line, etc.

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Answer:

Yes, 2² = -2².

Step-by-step explanation:

Given that,

→ prove that 2² equals to -2².

Let's prove the equation,

→ 2² = -2²

→ 4 = 4

→ [ LHS = RHS ]

Hence, it is proved to be equal.

The sequence of the angles from least to biggest is ∠WXY < ∠YXZ < ∠WYX < ∠XZY < ∠XYZ.

A triangular is a geometry with 3 sides and three angles. The triangle has angles that sum up to 180 °.

In a triangle, if the angle is small then the opposite side will be short, and if the angle increases then the side also increases.

The sides of the triangle are in ascending order, then we have

WY < YZ < WX < XY < XZ

Then the sequence of the angles is given as,

∠WXY < ∠YXZ < ∠WYX < ∠XZY < ∠XYZ

The sequence of the angles from least to biggest is ∠WXY < ∠YXZ < ∠WYX < ∠XZY < ∠XYZ.

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10 miles in 30 minutes would mean Julia was riding at 20mph.

5 miles in 12 minutes would mean Alex was riding at 25mph which means Alex would've had the greater average speed.

miles per hour is a good measure for this scenario because a hour is 60 minutes and the numbers 12 and 30 go into 60 cleanly.

12*5=60

30*2=60

60 minutes=1 hour

The mistakes Marshal made. He forget to divide the number last time by 10

25,328.941 ÷ 10^4

The division is the inverse of multiplication. When you divide a number by 10, each digit moves one place to the right to make it 10 times smaller.

=25,328.941 /10*10*10*10

= 25,32.8941 /10*10*10

= 25,3.28941 /10*10

= 25.28941 /10

= 2.528941

25,328.941 ÷ 104. The answer he wrote was 25.328941 written by a teacher

He forget to divide the number last time by 10

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Evaluating the expression b(2b - a) for a = 3 and b = -5 is equal to 65.

An algebraic expression is a number, variable, or the combination of both and operational symbols. On the other hand, an equation is the equality of two expressions separated by "=".

To evaluate an expression or an equation means to substitute a value to the variable and perform the arithmetic operations included.

Given the expression b(2b - a), substitute the value of the variable a and the value of variable b.

b(2b - a)

-5[2(-5) - (3)]

Performing the arithmetic operations, we can have the value of the expression.

-5[2(-5) - (3)]

= -5(-10 - 3)

= -5(-13)

= 65

Hence, the expression b(2b - a) when a = 3 and b = -5 is equal to 65.

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Answer: 10

Step-by-step explanation:

its 10 x

may 27, 28, 29, 30, 31, june 1, 2, 3, 4, 5,

         1.    2.   3.    4.   5.          6. 7  8  9. 10

When Kayla rode her bike home from college one weekend, her biking speed is 15 miles per hour

Speed is defined as the ratio between the distance and the amount of time an object traveled.

speed = distance/time

If the average speed of the bus was 10 miles per hour faster than Kayla’s biking speed, we have:

average speed of the bus = 10 mph + biking speed

let x = biking speed

y = average speed of the bus

y = 10 + x

Covering the same distance of 75 miles, calculate the time it took her riding the bus and the bike.

time = distance/speed

time riding the bus = 75 miles/(10 + x)

time riding the bike = 75 miles/x

If it took her 2 hours less to ride back to college on the bus than it took her to ride home on her bike

time riding the bus = time riding the bike - 2

75 miles/(10 + x) = (75 miles/x) - 2

75/(10 + x) = (75 - 2x)/x

Multiplying both sides by x(10 + x),

x(10 + x)[75/(10 + x)] = x(10 + x)[(75 - 2x)/x]

75x = 750 - 20x + 75x - 2x^2

2x^2 + 20x - 750 = 0

x^2 + 10x - 375 = 0

(x - 15)(x + 25) = 0

x = 15   ;   x = -25

Since we cannot have negative amount of time, choose x = 15.

Hence, Kayla's biking speed is 15 miles per hour.

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Answer:

A=45

Step-by-step explanation:

Area of a rectangle equation: A=L*W

A=9*5=45

The equation of the line in point-slope form, which passes through the pair of points located at (0 , -1) and (3 , -5), is y + 5 = -4/3(x - 3).

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: (0 , -1) and (3 , -5).

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

m = (-5 - -1)/(3 - 0)

m = -4/3

Using the point slope form, plug in the values of the slope and one point to set up the equation.

(y - y1) = m(x - x1)

where m = -4/3 and (x1 , y1) =  (3 , -5)

(y - -5) = -4/3(x - 3)

y + 5 = -4/3(x - 3)

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Answer:

12.44 repeated

Step-by-step explanation:

Answer:

112/9

12.4

12 4/9

The slope of the given equation of the line is -0.8 and the y-intercept = 0.4.

Given: y = -0.8x + 0.4

As we know that the slop-intercept form of the equation of a line is given by: y = mx + c, where

On comparing the given equation of line with the above form of equation of line, we get: m = -0.8 and c = 0.4.

Hence, The slope of the given equation of the line is -0.8 and the y-intercept = 0.4.

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Answer:

(4x+3iy)(4x−3iy)

Step-by-step explanation:

We have a^2 + b^2

Over  the complex number, this is equal to

(a-bi) (a+bi)

(4x -3yi) (4x+3yi)

y-3=4 x is in point-slope form, it is neither in slope-intercept form nor standard form.

A line's steepness and direction are determined by the slope of the line. Without actually using a compass, determining a line's slope in a coordinate plane allows one to anticipate whether a line is parallel, perpendicular, or not.

The change in a line's y coordinate relative to its change in x coordinate is referred to as the line's slope. Δy is the net change in the y coordinate, while Δx is the net change in the x coordinate.  

Therefore,

m =  y₂-y₁/x₂-x₁ (where m denotes the slope) can be used to express how the y coordinate changes in relation to the x coordinate.

Be aware that tan ∅ = y/x

We also refer to this tan as the line's slope

We know that  point-slope form = y₂ - y₁ = m(x₂ - x₁)

the equation looks like this in point-slope form ⇒ y-2= 4(x-0)

Here, the points are (x, y) and the points the line is passing through is

(0, 2)

y-2= 4(x-0) is in point-slope form, it is neither in slope-intercept form nor  standard form.

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Both the planes of the given equations,

2x+3y-z=12 (1)

2x-4y+z=8 (2)

They have been drawn in a three-dimensional plane, and the images are attached below.

Answer:

Step-by-step explanation:

need bigger image cant see

Step-by-step explanation: I hope this helps.

Answer: the correct answer is 1, 2, and 5

The corresponding sides have the same measure and are congruent. So,  ΔABC ≅ ΔXYZ by SSS.

What in mathematics is the Pythagoras Theorem?

Observe the graph, the triangles are right triangles. In triangle ABC, AC = 2 and BC = 4. Use the Pythagorean

Theorem to find AB.

AB² = AC² + BC²

AB = √ AC² + BC²

AB = √ 2² + 4²

AB = √4 + 16

AB = √20

Similarly In triangle XYZ, ZX = 2 and ZY = 4. Use the Pythagorean Theorem to find XY

XY² = XZ² +  ZY²

XY = √ XZ² + ZY²

XY = √ 2² + 4²

XY = √4 + 16

XY =  √20

The corresponding sides have the same measure and are congruent. So,  ΔABC ≅ ΔXYZ by SSS.

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A={x|x is an even number more than 0 but less than 5}

   Evaluating each series of 8 terms, the result is

∑ = 42

We solve this problem by defining, succession:

  A sequence is defined by an order of values and/or elements that have a relationship of variation as a ratio or proportion that makes them predictable.

As we can see the variation between each of the terms is:

   The initial number is -13

a1 = -13

  The final number is -23.5

an = -23.5

 Let's determine the sum of this sequence of numbers

∑ = n(a1 + an)/2

 Our values are:

-13,-14.5,-16, .......,-23.5

∑ = 8(-13 - (-23.5))/2

∑ = 42

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The words that complete the drop down menus are

This is further explained below.

In geometry, a translation is a transformation that involves moving every point in a figure, shape, or space by the same distance in a specific direction.

A translation may either be seen as the addition of a constant vector to each point or as the movement of the origin of the coordinate system. Both of these interpretations are valid.

Generally,  You need to turn the ship such that all of the sides are aligned parallel to one another.

Move the vertices around in the shape until they are aligned properly.

The rotation should be somewhere about ninety degrees, and the translation should move the form up in a diagonal direction.

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