Determine if the triangles are similar. ​

The expression which is equivalent to the given expression as given in the task content is; negative 9 over 12 times t minus 2 over 9.

ait follows from the task content that the expression which is equivalent to the given expression is to be determined.

As evident from the task content; the given expression is;

-7t/6 + 4/9 - ( -5t/12) + 2/3 )

The expression can be solved by collecting like terms and evaluating sums as follows;

-7t/6 + 5t/12 + 4/9 - 2/3

= ( -14t + 5t ) / 12 + (4 - 6)/9

= -9t/12 - 2/9

Therefore, the required expression which is equivalent to that; which is as given is; negative 9 over 12 times t minus 2 over 9.

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Answer:

105 days

Step-by-step explanation:

30 divided by 8 to get the rate which equals 3.75

28*3.75= 105 days

Answer:

dont know im sorry

Step-by-step explanation:

Answer:

Smaller no. = 21

Larger no. = 85

Step-by-step explanation:

Smaller no. = y

Larger no. = 4y + 1

y + (4y + 1) = 106

y + 4y + 1 = 106

5y + 1 = 106

5y = 106 - 1

5y = 105

y = 105/5

y = 21

Smaller no. = y = 21

Larger no. = 4y + 1 = 4×21 + 1 = 84 + 1 = 85

Answer: Shade 6 pieces

Step-by-step explanation:

Because 2/5 of 15 is 6

The dilation transformation of the triangle ABC by a scale factor of 3, with the point P as the center of dilation indicates;

Side A'B' will be parallel to side AB

Side A'C' will be parallel to side AC

Side BC will lie on the same line as side BC

A dilation transformation is one in which the dimensions of a geometric figure are changed but the shape of the figure is preserved.

The possible options, from a similar question on the internet are;

Be parallel to

Be perpendicular to
Lie on the same line as

The location of the point P, which is the center of dilation, and the lines PC and PA of dilation and the scale factor of dilation indicates that we get;

PB' = 3 × PB

PA' = 3 × PA

PC' = 3 × PC

Therefore; The side B'C' will be on the same line as the side BC

The Thales theorem, also known as the triangle proportionality theorem indicates that;

The side A'C' will be parallel to the side AC

The side A'B', will be parallel to the side AB

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Answer:

It's 13.15

 I don't really have a explanaton sorry.

So

Answer:

3.142

Step-by-step explanation:

Succinctly, pi which is written as the Greek letter for p, or π is the ratio of the circumference of any circle to the diameter of that circle. Regardless of the circle's size, this ratio will always equal pi. In decimal form, the value of pi is approximately 3.142.

The correct option is B .solution of given problem with the help of integrating the given function is 3xLn3

The area under a curve in a given range can be calculated mathematically via integration. To locate the region between the curve and the x-axis, it is necessary to find a function's antiderivative and evaluate it twice.

A function is a rule that gives each input value a distinct output value. It can be compared to a machine that processes inputs into outputs in accordance with a predetermined rule or formula.

To find f'(x), we need to take the derivative of f(x), where f(x) is the antiderivative of k(x).

Since k(x) = 3x, we can find f(x) by integrating 3x with respect to x:

f(x) = ∫ 3x dx = 3/2 x² + C

where C is a constant of integration.

Now we can find f'(x) by taking the derivative of f(x):

f'(x) = d/dx (3/2 x² + C) = 3x

Therefore, the answer is (B) 3xLn3. Option (A) is incorrect because there is no natural logarithm term in the derivative of f(x). Option (C) is incorrect because the derivative of 3x is 3, not 3/Ln(x). Option (D) is incorrect because there is no x in the denominator of the natural logarithm term.

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An angle is produced at the point where two or more lines meet. Thus the value of LP required in the question is approximately 14.

Two lines are said to be perpendicular when a measure of the angle between them is a right angle. While parallel lines are lines that do not meet even when extended to infinity.

From the question, let the length of LP be represented by x.

Thus, from the given question, it can be deduced that;

LM ≅ PN = 20

KP = KN - PN

    = 30 - 20

KP = 10

LP = x

Also,

<MLP is a right angle, so that;

< KLP = < KLM - <PLM

         = 126 - 90

<KLP = \(36^{o}\)

So that applying the Pythagoras theorem to triangle KLP, we have;

Tan θ = \(\frac{opposite}{adjacent}\)

Tan 36 = \(\frac{10}{x}\)

x = \(\frac{10}{Tan 36}\)

  = \(\frac{10}{0.7265}\)

x = 13.765

Therefore the side LP ≅ 14.

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Answer:

C. Subtract 4 from both sides.

Step-by-step explanation:

You need the equation in the form x² + ax + b = 0 to then either try factoring or use the quadratic formula.

In order to achieve that, you need to first:

Subtract 4 from both sides.

The value of AB is,

⇒ AB = 5.9

(rounded to nearest tenth)

We have to given that,

A right triangle ABC is shown.

Now, By trigonometry formula,

we get;

⇒ cos 33° = Base / Hypotenuse

Substitute all the values, we get;

⇒ cos 33° = AB / 7

⇒ 0.84 = AB / 7

⇒ AB = 0.84 × 7

⇒ AB = 5.88

⇒ AB = 5.9

(rounded to nearest tenth)

Thus, We get;

AB = 5.9

(rounded to nearest tenth)

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The options that correctly show the points of the given graph are;

Option 4: A is on the y-axis

Option 5; D is on the x-axis

Usually in mathematical equation graphs, the y-axis represents the range of the function which is a set of all possible output values for given input values . Whereas, the domain is usually represented on the x-axis and it shows the set of all possible input values of the function.

Now, from the given graph, we see the following;

A is on the y-axis

B is at the origin

C is at the point (1, 2)

D is on the x-axis

Looking at the options, we can tell that options 4 and 5 are correct representations of the given graph because they correctly denote the points on the x-axis and y-axis.

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Answer:

196: 9.8

20: 1

x= 9.8 meters in 1 second

Step-by-step explanation:

This can be determined by following writing equal ratios that represent a word problem. Then, the denominator must be divided from the numerator to get the unit rate/ meters per second.

Answer:

9/4/5m/s

speed is equal to distance all over time. So196m/20s=9/4/5m/s

a. The  slope of the curve at the point (4,16)   is approximately 1.165, and at the point (16,4)  is approximately -0.496.

b. The   curve has a horizontal tangent line at the points(0,0) and (3,27).

c. The   curve has a vertical tangent lineat the points (0,0) and (65/2, (65/2)³).

a. To find the   slope of the curve given by the equation x³ + y³ - 65xy = 0 at the points (4,16) and (16,4),we can differentiate the equation implicitly with respect to x and solve for dy/dx.

Differentiating the equation with respect to x, we have  -

3x² + 3y²(dy/dx) - 65y - 65x(dy/dx) = 0

To find the slope at a specific point, substitute the x and y coordinates into the equation and solve for dy/dx.

For the point (4,16)  -

3(4)² + 3(16)²(dy/dx) - 65(16) - 65(4)(dy/dx) = 0

48 + 768(dy/dx) - 1040 - 260(dy/dx) = 0

508(dy/dx) = 592

(dy/dx) = 592/508

(dy/dx) ≈ 1.165

For the point (16,4)  -

3(16)² + 3(4)²(dy/dx) - 65(4) - 65(16)(dy/dx) = 0

768 + 48(dy/dx) - 260 - 1040(dy/dx) = 0

(-992)(dy/dx) = 492

(dy/dx) = 492/(-992)

(dy/dx) ≈ -0.496

Thus, the slope of the   curve at the point (4,16) isapproximately 1.165, and at the point (16,4) is approximately -0.496.

b. To find the point where the curve has   a horizontal tangent line, we need to find the x-coordinate(s)where dy/dx equals zero.

This means   the slope is zero and the tangent line is horizontal.

From the derivative we obtained earlier  -

3x² + 3y²(dy/dx) - 65y - 65x(dy/dx) = 0

Setting dy/dx equal to zero  -

3x² - 65y = 0

Substituting y = x³/65 into the equation  -

3x² - 65(x³/65) = 0

3x² - x³ = 0

Factoring out an x²  -

x²(3 - x) = 0

This equation has two solutions  -  x = 0 and x = 3.

hence, the curve has a horizontal   tangent line at the points(0,0) and (3,27).

c. To find the point where the curve has a vertical tangent line, we need to find the x-coordinate(s)   where the derivative is undefinedor approaches infinity.

From the derivative  -

3x² + 3y²(dy/dx) - 65y - 65x(dy/dx) = 0

To find the vertical tangent line, dy/dx should be undefined or infinite. This occurs when the denominator of dy/dx is zero.

Setting the denominator equal to zero:  -

65x = 65y

x = y

Substituting this condition back into the original equation  -

x³ + x³ - 65x² = 0

2x³ - 65x² = 0

x²(2x - 65) = 0

This equation has two solutions  - x = 0 and x = 65/2.

Therefore, the curve has a vertical tangent line   at the points (0,0)

and(65/2, (65/2)³).

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Answer:

x=7

Step-by-step explanation:

Add 6 to both sides

Simplify

Expand the parentheses

Add 1 to both sides

Answer:

It's parallel. Both have a slope of 3 and they have different y intercepts

Step-by-step explanation:

here is your answer if you like my answer please follow

Explanation

Question 1.1

We are asked to get the income

Income generally means the value or amount that they receive for their labour and products

The income will be

Question 1.2

The table will be

Question 1.3

Question 1.4

From the graph, the number of hamburgers that Bongi needs to be sold to break-even will be 330

Question 1.5

If he only sells 200 hamburgers

Then, the loss will be

This means, his loss will be R1600

Question 1.6

If he makes R15000 before deductions, he will have

Question 1.7

If he can make a maximum of 1000 hamburgers, his profit will be

Thus, his profit will be

His maximum profit will be R8000

Answer:

1.    n + 34

2.   n - 34

3.   n × 34

Step-by-step explanation:

1. 34 more than a number     n + 34

2. a number decreased by 34      n - 34

3. the product of a number and 34    n × 34

Answer:

C

Step-by-step explanation:

24÷6= 6 Hope this helps.

Answer:

Step-by-step explanation:

A range

Answer:

y = -1/3x + 3 2/3

Step-by-step explanation:

lmk if you want an explanation

x = 9

solve:

Diagonals bisect eachother

\(\\ \rm\Rrightarrow 2x+13=8x-41\)

\(\\ \rm\Rrightarrow 6x=54\)

\(\\ \rm\Rrightarrow x=54/6\)

\(\\ \rm\Rrightarrow x=9\)

Answer:

49 * 7'4

Step-by-step explanation:

Answer:

45.584

;)

Have a nice day

Answer:

radius

Step-by-step explanation:

Answer:

work is shown and pictured