2x+4÷2 = 29 - 3x ÷2

Answer:

Congruence is a relationship of shapes and sizes, such as segments, triangles, geometrical figures, while equality is a relationship of sizes, such as lengths, widths, heights.

Congruence deals with objects while equality deals with numbers. You wont say that two shapes are equal or two numbers are congruent.

Step-by-step explanation:

The area of this parallelogram is:

10 unit²

Answer:

10 units

Step-by-step explanation:

2x5

Okay, here we have this:

Considering the provided graph, and that a function is decreasing when as x increases, "y" decreases, we obtain the following:

The intervals over which the function is decreasing are:

(infinity,-2)U(-2,-1)U(-1,1)U(5,infinity )

Finally we obtain that the correct answer is the option C.

Answer:

\(\huge\boxed{\dfrac{5}{12}x-5}\)

Step-by-step explanation:

\(\left(\dfrac{3}{4}x-1\right)-\left(\dfrac{1}{3}x+4\right)=\dfrac{3}{4}x-1-\dfrac{1}{3}x-4=\left(\dfrac{3}{4}x-\dfrac{1}{3}x\right)+(-1-4)\\\\=\left(\dfrac{3\cdot3}{4\cdot3}x-\dfrac{1\cdot4}{3\cdot4}x\right)+(-5)=\left(\dfrac{9}{12}x-\dfrac{4}{12}x\right)-5=\dfrac{9-4}{12}x-5\\\\=\dfrac{5}{12}x-5\)

Answer:

3/8

Step-by-step explanation:

If they traveled 3/8 on day one, then 5/8 is left. So find what 3/5 of 5/8 is. I think it should be 3/5 times 5/8 which equals 3/8. So on Sunday they traveled another 3/8 of the total distance.

Answer: y = 3x+5, 3, (-1,2)

Step-by-step explanation:

y = mx + c where m is the slope, so we must find the slope

Slope = rise/run = (5-2)/(0-(-1)) = 3

So y = 3x + c

To find c, we have to substitute one of the coordinates on the graph into the equation, (-1,2), the point that is marked

2 = 3(-1) + c

c = 5

So the equation of the graph is y = 3x + 5

The graph of the function is attached

The amplitude and the period are 5 and 2π

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

f(x) = 5cos(θ)

A sinusoidal function is represented as

f(x) = Acos(B(x + C)) + D

Where

So, we have

A = 5

Period = 2π/1

Evaluate

A = 5

Period = 2π

Hence, the amplitude is 5 and the period is 2π

The graph of the function is attached

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The given expression expressed in the form (x+A)^2+B is (x - 6)² + 65

A = -6 and B = 65

From the question, we are to express the given expression in the form (x + A)^2+B by completing the square

The given expression is

x² -12x + 101

Using the completing the square method

x² -12x + 101

Divide the coefficient of x by 2 and then square it

The coefficient of x is -12

Dividing by 2, we get

-12/2 = -6

Squaring

(-6)²

Now, add and subtract this value from the expression

x² -12x + (-6)² + 101 - (-6)²

Then, we can write that

(x - 6)² + 101 - (-6)²

(x - 6)² + 101 - 36

(x - 6)² + 65

Thus,

The given expression expressed in the form (x+A)^2+B is (x - 6)² + 65

By comparison,

A = -6

and

B = 65

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Answer:

D Market

Step-by-step explanation:

the production determines how the goods and services are destributed and applied so the goods can flow all based off of the market

Answer:

Step-by-step explanation:

The answer is 'command'.

\( \frac{10}{ \sqrt{7} - \sqrt{2} } \\ = \frac{10}{ \sqrt{7} - \sqrt{2} } \times \frac{ \sqrt{7} + \sqrt{2} }{ \sqrt{7} + \sqrt{2} } \\ = \frac{10( \sqrt{7} + \sqrt{2}) }{( \sqrt{7} - \sqrt{2} )( \sqrt{7} + \sqrt{2} )} \\ = \frac{10 \sqrt{7} + 10 \sqrt{2} }{( { \sqrt{7} )}^{2} - ( \sqrt{2} ) ^{2} } \\ = \frac{10( \sqrt{7} + \sqrt{2} )}{7 - 2} \\ = \frac{10( \sqrt{7} + \sqrt{2} ) }{5} \\ = 2( \sqrt{7} + \sqrt{2} ) \\ = 2 \sqrt{7} + 2 \sqrt{2} \)

\(\frac{10}{\sqrt{7} } -\sqrt{2} =\frac{10\sqrt{7} -7\sqrt{2} }{7}\)

( Decimal: \(2.36543...\))

Steps:

1: Convert element to fraction.

\(\sqrt{2} =\frac{\sqrt{2}\sqrt{7} }{\sqrt{7} }\)

\(=\frac{10}{\sqrt{7} } -\frac{\sqrt{2} \sqrt{7} }{\sqrt{7} }\)

2: Since denominator are equal, combine the fractions.

\(\frac{a}{c}\) ± \(\frac{b}{c} =\frac{a+b}{c}\)

\(=\frac{10-\sqrt{2} \sqrt{7} }{\sqrt{7} }\)

-----------------------

\(\sqrt{2} \sqrt{7} =\sqrt{14}\)

\(=\frac{10-\sqrt{14} }{\sqrt{7} }\)

Rationalize \(\frac{10-\sqrt{14} }{\sqrt{7} }\) : \(\frac{10\sqrt{7} -7\sqrt{2} }{7}\)

\(=\frac{10\sqrt{7}-7\sqrt{2} }7}\)

Answer:

The answer to your question is the third one

Step-by-step explanation:

The first graph is the graph of a

The second graph is of a rational function

The third one is of an exponential function

Answer:

always

Step-by-step explanation:

After considering the given data we conclude that the clockwise rotational path of the line segment is a rotation of -59.04 degrees about the point (-6, -1).

We have to evaluate the center and angle of rotation to explain the clockwise rotation of the line segment.

So in the first step, we can evaluate the midpoint of the line segment JK and the midpoint of the line segment J'K'. we can calculate the vector connecting the midpoint of JK to the midpoint of J'K'. This vector is (4-1, 1-(-4) = (3,5)

The center of rotation is the point that is equidistant from the midpoints of JK and J'K'. We can evaluate this point by finding the perpendicular bisector of the line segment connecting the midpoints.

The slope of this line is the negative reciprocal of the slope of the vector we just found, which is -3/5. We can apply the midpoint formula and the point-slope formula to evaluate the equation of the perpendicular bisector:

Midpoint of JK: (1, -4)

Midpoint of J'K': (4, 1)

The slope of the vector: 3/5

(x₁ + x₂)/2, (y₁ + y₂) /2

Point-slope formula: y - y₁ = m(x - x₁)

Perpendicular bisector: y - (-4) = (- 3/5)(x - 1)

Applying simplification , we get: y = (- 3/5)x - 1.2

To evaluate the center of rotation, we need to find the intersection point of the perpendicular bisector and the line passing through the midpoints of JK and J'K'. This line has slope ( 3 - (4)) /(4 - 1) = 7/3 and passes through the point (4, 1). Applying the point-slope formula, we can evaluate its equation:

y - 1 = (7/3)( x - 4)

Apply simplification , we get: y = (7/3)x - 17/3

To evaluate the intersection point, we can solve the system of equations:

y =(- 3/5)x - 1.2 = (7/3)x - 17/3

Evaluating for x and y, we get x = -6 and y = -1.

Therefore, the center of rotation is (-6, -1).

√( 4 - 1)² + ( 1 - ( - 4))²) = 5√(2)

Distance between image points and center of rotation

√( ( 6 - (-6))² + ( 3 - (-1))² = 13

The ratio of these distances gives us the scale factor of the transformation, which is 13/√2).

The angle of rotation is negative as the image moves clockwise direction. We can apply the inverse tangent function to find the angle of the vector connecting the midpoint of JK to the midpoint of J'K':

Angle of vector: arctan(5/3) = 59.04 degrees

Therefore, the clockwise rotational path of the line segment is a rotation of -59.04 degrees about the point (-6, -1).

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Answer:

0.9 or 7.9

Step-by-step explanation:

Mark brainliest please

Answer: 20 sq. units .

Step-by-step explanation:

Let A(0, -2), B(3,2), C(8,2), and D(5, -2) are the points for the parallelogram.

First we plot these points on coordinate plane, we get parallelogram ABCD.

By comparing the y-coordinate of B and C with A and D , we get

height = 2+2 = 4 units

Also by comparing the x coordinates of A and D, we get base = 5-0= 5 units  

Area of parallelogram = Base x height

= 5 x 4 = 20 sq. units

Hence, the area of a parallelogram ABCD is 20 sq. units .

Answer:

Signum function

Step-by-step explanation:

Hope this helps uuuu

Answer:

Null, H0: μ ≥ 16

Alternative ; H1: μ < 16

reject H0

Step-by-step explanation:

Null, H0: μ ≥ 16

Alternative ; H1: μ < 16

To compute the test statistic :

We need the sample mean and sample standard deviation :

15.87, 16.02, 15.78, 15.83, 15.69, 15.81, 16.04, 15.81, 15.92, 16.10

Using calculator :

Sample mean, m = 15.887

Standard deviation = 0.13

Test statistic :

(m - μ) / s/sqrt(n)

(15.887 - 16) / 0.13/sqrt(10)

-0.113 / 0.0411096

= - 2.749

Tcritical at 95%

Tn-1, 0.025

T10,0.025 = 2.262

Since the test statistic value is less than the critical value, reject H0

Answer:

d

Step-by-step explanation:

The number of years must be non-negative.

This eliminates all of the options except for d.

Step-by-step explanation:

1)

180-68-41= 71°

2)

180-47-16=117

5)

m<1= 180-68-77= 35°

m<2= 77°

m<3 = 180-90-41= 49°

m<4 = 180-41-62= 77°

m<5= 90-28= 62°

m<6= 180-49-103= 28°

When the y-value starts to decrease and the x-value remains constant over time, Y decreases and X increases to a consistent slope.

A consistent slope represents a constant rate of change between two variables, typically represented by the ratio of the change in y to the change in x.

When the y-value starts to decrease and the x-value remains the same over time, the consistent slope represents a negative correlation between y and x.

This means that as the value of y decreases, the value of x remains the same or may increase, depending on the context of the problem.

Therefore, the answer is option B: Y decreases and X increases.

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Answer:

5

4x^11*y^6

In words:

5 over 4x to the 11th power times y to the 6 power.

Step-by-step explanation:

simplify from original to this:

5x^9*y^6

4x^20*y^12

=

5y^6

4x^11*y^12

=

5

4x^11*y^6

The mistake that Katie made in the stem and leaf diagram, was that she D. Missed a length.

Looking at the stem and leaf diagram, we see that there are 14 leaves. This means that there are 14 lengths of caterpillars. However, there are 15 lengths shown on the table.

This means that there is a length missing that Katie failed to account for. Upon close inspection of the stem and leaf plot, we find that the missing length is a second value of 70 because there are two lengths that are 70 but this is shown only once on the stem and leaf plot.

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Answer:

B

Step-by-step explanation:

if he needs 3 cups for 48 ones then you just divide by 2

because 48/2 = 24 and so 3 cups/2 = 1.5

so 1.5 cup makes 24 cookies.

Answer:

x=3mod4

Means that when x is divided by 4 it gives an unknown integer and a remainder of 3.

x/4 = Z + 3/4

Z= (x-3)/4

Where Z is the integer

x=5 mod6

x/6 = Y + 5/6

Y = (x-5)/6

Where Y is the integer

Z-Y must be an integer on equal to zero

(x-3)/4 - (x-5)/6

3(x-3)/12 - 2(x-5)/12

(3x-9-2x+10)/12

(x+1)/12

If it is equal to 0

x=-1. But x should be positive

If it is equal to 1

x=11

Hence the smallest possible number is 11

Answer:

29/3

Step-by-step explanation:

Multiply and simplify

58/6=29/3

Answer:

29x/3

Step-by-step explanation:

i used math website trust me its right

Answer:

5 m wide and 7 m long

Step-by-step explanation:

Let the width of the room = \(x\)

Therefore, length of the room = \(x\) + 2 (as it's 2 m longer than the width)

So total perimeter = 2 x width + 2 x length:

 \(2x+2(x+2)=24\)

Now rearrange and solve for \(x\):

\(2x+2x+4=24\\4x=20\\x=5\)

So width = \(x=5\)

and length = \(x+2=5+2=7\)

Therefore, the dimension of the room is 5 m wide and 7 m long.

Using the function f(x) = 1/2 x and the inverse of the function f⁻¹(x) = 2x, the solutions of the given are :

f(2) = 1, f⁻¹(1) = 2, f⁻¹(f(2)) = 2

f⁻¹(-2) = -4, f(-4) = -2, f(f⁻¹(-2)) = -2

Given a function,

f(x) = 1/2 x

And an inverse function,

f⁻¹(x) = 2x

We have to find the values of the following.

f(2) = 1/2 × 2 = 1

f⁻¹(1) = 2 × 1 = 2

f⁻¹(f(2)) = f⁻¹(1) = 2 × 1 = 2

f⁻¹(-2) = 2 × -2 = -4

f(-4) = 1/2 × 4 = -2

f(f⁻¹(-2)) = f (-4) = 1/2 × 4 = -2

So, in general, f⁻¹(f(x)) = f(f⁻¹(x))

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To find out, suppose \((x_{1}, y_{1})\) and \((x_{2} ,y_{2} )\) are two points on the graph of

y = mx + b.

Then \(y_{1} =mx_{1} +b\) and \(y_{2} =mx_{1} +b\).

Use algebra to simplify \(\frac{y_{2} -y_{1} }{x_{1} -x_{2} }\)

And give a geometric interpretation.

Hope this helps,

ROR