What is the length of segment FE?

What is the length of segment FG?

What is the length of segment FH?

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The point where the line 2x + 3y = 6 intersects the x-axis is (3, 0). This means that when x is equal to 3, y is equal to 0.

To graph the equation 2x + 3y = 6, we can rewrite it in the slope-intercept form, y = mx + b, where m represents the slope and b represents the y-intercept.

Starting with the given equation, we isolate y to one side:

3y = -2x + 6

y = (-2/3)x + 2

Now, we have the equation in slope-intercept form, y = (-2/3)x + 2. The slope is -2/3, and the y-intercept is (0, 2).

To find the point where the graph intersects the x-axis, we need to determine the coordinates where y is equal to zero. This occurs when the line crosses the x-axis.

Setting y = 0 in the equation, we have:

0 = (-2/3)x + 2

(-2/3)x = -2

x = (-2)(-3/2) = 3

Therefore, the point where the line 2x + 3y = 6 intersects the x-axis is (3, 0). This means that when x is equal to 3, y is equal to 0, indicating the point of intersection with the x-axis on the graph.

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Answer:

Following are the solution to this question:

Step-by-step explanation:

The answer is "M4,6 is really a set of all 4x6 arrays, because it is shuttered by relation with vector and also particle fractions. Its structure for 4x6 also is M4,6".

1. 1/2

2. 3/10

3. 2 and 3/5

4. 1 and 7/12

5. 1 and 1/3

Answer:

Step-by-step explanation:

1074/100

1.074*10

0.1074*10

107.4/10

10740/1000

The measure of each angles a,b and c are 32°, 74°  and 74°  respectively.

What is triangle?
Three edges and three vertices define a triangle as a polygon. One of geometry's fundamental shapes is this one. The symbol for an ΔABC triangle is A, B, and C.
Any three points determine a distinct triangle and a distinct plane in Euclidean geometry when they are non-collinear (i.e. a two-dimensional Euclidean space). To put it another way, each triangle is contained in a plane, and there is only one plane that includes that particular triangle. All triangles are contained in one plane if and only if all geometry is the Euclidean plane, however this is no longer true in higher-dimensional Euclidean spaces. Except as otherwise specified, the subject of this article is triangles in Euclidean geometry, more specifically, the Euclidean plane.

Let angle b be x

Therefore angle c will also be  x [as given b and c are equal] and angle a will be x - 42°.
Now as we know that the sum of the measures of the angles of a triangle is 180° therefore,

x + x + x - 42° = 180°

=> 3x = 222°

=> x = 74°  which is angle b and c

and angle a is (74 - 42)°  =32°  

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To graph the system of equations 3x - 2y = 4 and 3x + 2y = 8, we first need to solve for the value of x and y.

To solve for x and y, we can use the first equation 3x - 2y = 4,

3x - 2y = 4

y = (3x/2) - 2

we can substitute this value of y into the second equation 3x + 2y = 8

3x + 2(3x/2 - 2) = 8

3x + 3x - 4 = 8

6x = 12

x = 2

Now we can substitute the value of x into the first equation to find the value of y

3(2) - 2y = 4

6 - 2y = 4

-2y = -2

y = 1

so the point of intersection is (2,1)

In order to graph the system of equations, we can plot the point of intersection (2,1) and then use the slope-intercept form of the equations to graph the lines.

The slope-intercept form of the first equation is y = (3/2)x - 2

The slope-intercept form of the second equation is y = (1/2)x + 4

So, the lines have a slope of 3/2 and 1/2 respectively.

We can now plot these lines on the coordinate plane, with the point of intersection (2,1) being the point where the lines cross.

The graph of the system of equations is the two lines crossing at the point (2,1)

Answer: k=11

Step-by-step explanation:

The time he start shopping is 2 : 00 PM

From the question, we have the following parameters that can be used in our computation:

Time spent = 25 minutes

Time he left the store = 2 : 25PM

Using the above as a guide, we have the following:

Time he started = Time he left the store - Time spent

substitute the known values in the above equation, so, we have the following representation

Time he started = 2 : 25PM - 25 minutes

Evaluate

Time he started = 2 : 00 PM

Hence, the time he start shopping is 2 : 00 PM

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#21

Since the demand equation for a certain product is

P is the price per unit

x is the number of units

Since the price of the product is $24.50, then

Substitute px by 24.50

Subtract 50 from both sides

Answer:

QRS = 90 degrees

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find the slope and y-intercept of a linear function, we need to use the formula y = mx + b, where "m" is the slope of the line and "b" is the y-intercept.

Given points in the linear function are not provided in the question, but if you are given two points on a line, you can find the slope of the line by using the slope formula:

slope = (change in y)/(change in x)

Assuming the given points of the linear function are (x1, y1) and (x2, y2), then the slope of the line is:

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

Once we have the slope of the line, we can use any point on the line and the slope to find the y-intercept, b, using the formula:

y = mx + b

b = y - mx

Therefore, we can find the slope and y-intercept of a linear function, given two points on the line.

Answer:

what is that corency

Step-by-step explanation:

Applying implicit differentiation, it is found that dy/dt when y=π/4 is of:

a-) -√2 / 2.

Implicit differentiation is when we find the derivative of a function relative to a variable that is not in the definition of the function.

In this problem, the function is:

xcos(y) = 2.

The derivative is relative to t, applying the product rule, as follows:

\(\cos{y}\frac{dx}{dt} - x\sin{y}\frac{dy}{dt} = 0\)

\(\frac{dy}{dt} = \frac{\cos{y}\frac{dx}{dt}}{x\sin{y}}\)

Since dx/dt=−2, we have that:

\(\frac{dy}{dt} = -2\frac{\cos{y}}{x\sin{y}}\)

When y = π/4, x is given by:

xcos(y) = 2.

\(x = \frac{2}{\cos{\frac{\pi}{4}}} = \frac{2}{\frac{\sqrt{2}}{2}} = \frac{4}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = 2\sqrt{2}\)

Hence:

\(\frac{dy}{dt} = -2\frac{\cos{y}}{x\sin{y}}\)

\(\frac{dy}{dt} = -\frac{1}{\sqrt{2}}\cot{y}\)

Since cot(pi/4) = 1, we have that:

\(\frac{dy}{dt} = -\frac{1}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = -\frac{\sqrt{2}}{2}\)

Which means that option a is correct.

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Step-by-step explanation:

fourth one

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..

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....

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The rule of (x, y) → (-x, y), which is reflection over y-axis.

Given that, ΔABC maps to triangle ΔA'B'C'.

When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).

The coordinate points of ΔABC are A(-4, 3), B(-3, -3) and C(1, 2) and the coordinate points of ΔA'B'C' are A'(4, 3), B'(3, -3) and C'(-1, 2).

Here, A(-4, 3) → A'(4, 3), x-coordinate is negated and y-coordinate remains same.

Similarly, B(-3, -3) → B'(3, -3) and C(1, 2) → C'(-1, 2) follows the same pattern.

From this, it is clear that the coordinates of triangle ABC is reflected on y-axis.

Therefore, the rule of (x, y) → (-x, y), which is reflection over y-axis.

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Answer:

A=πr2=π·52≈78.53982m²

Step-by-step explanation:

Answer:

78.57 m^2

Step-by-step explanation:

answer is 78.57

Answer:

pentagon

Step-by-step explanation:

Answer:

Step-byHow do I calculate the mean?

The mean can be calculated only for numeric variables, no matter if they are discrete or continuous. It's obtained by simply dividing the sum of all values in a data set by the number of value

-step explanation:

46+57+66+63+49+52+61+68= 462/8 the total number of observation

the answer 57

Answer:

-2<=y<=-7

Step-by-step explanation:

Answer: 6

Step-by-step explanation: you would substitute the Z for 3 so it would be 5(3)-3². You would then do 3²= 9 because it’s 3*3 and 5*3 is 15. So you would do 15-9 which equals 6

Answer:

\(\frac{19}{6} =3\frac{1}{6}\)

Step-by-step explanation:

Answer:

The answer is 3 1/6

Step-by-step explanation:

The numbers that would be included in the sample are 4, 1, 1, 4, 7, 9, 2, 6, 4, 7, 4, 4, 1, 0, 3, 0, 5, 0, 7, 1, 1, 6, 5, 4, 9

The complete question is added as an attachment

The given parameters are:

Row = 3

Column = 6

From the attached figure, the entries in row 3 are:

4, 1, 1, 4, 7, 9, 2, 6, 4, 7, 4, 4, 1, 0, 3, 0, 5, 0, 7 1

From the attached figure, the entries in column 6 are:

1, 6, 9, 5, 4, 9

Hence, the numbers that would be included in the sample are 4, 1, 1, 4, 7, 9, 2, 6, 4, 7, 4, 4, 1, 0, 3, 0, 5, 0, 7, 1, 1, 6, 5, 4, 9

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Hi there ! \(๑╹◡╹๑)ﾉ♬

Answer: \( \blue{ \boxed{ \bf {9a}^{2} - 12a + 4 } } \)

Step-by-step explanation:

\( \bf (3a - 2)^{2} = \)

\(\bf (3a - 2) \times (3a - 2) = \)

\( \bf 3a \times 3a - 3a \times 2 - 2 \times 3a - 2 \times ( - 2) = \)

\( \bf {9a}^{2} - 6a - 6a + 4 = \)

\( \red{ \boxed{ \bf {9a}^{2} - 12a + 4 } } \)

The recursive relation of the data distribution a(n) = a ( n - 1 ) x n - ( n - 1 ).

A sequence of values is defined by a mathematical equation termed as a recursive relation, also known as recursive relation. It derives current value(s) through specified initial value(s) and previous value dependent rule(s). In essence, it generates numeric sequences.

Note that every individual unit can be derived by multiplying the preceding one with a rising integer, and subsequently subtracting a descending integer:

1 x 1 - 0 = 1

1 x 2 - 1 = 1

1 x 3 - 2 = 5

5 x 4 - 3 = 17

17 x  5 - 4 = 71

71 x 6 - 5 = 247

We can deduce the relation of a(n) = a ( n - 1 ) x n - ( n - 1 ).

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Answer:

B. 20/5 = BC/4