Subtract (4x − 3y) from the sum of (12x + 9y) and (−2y).

The x-intercept for the equation 2y - 5x = 30 is found when y is set to zero and the equation is solved, resulting in the x-intercept being -6.

To find the x-intercept of a given equation, you need to set y equal to zero and solve for x. So, for the equation 2y - 5x = 30, you set y = 0 which leads to the adjusted equation of -5x = 30

To isolate x, you should divide both sides of the equation by -5, which gives x = -6. Therefore, the x-intercept of the equation 2y - 5x = 30 is -6.

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The measure of angle TSK is 130°, because it is an inscribed angle that intercepts the same arc as angle TRK, and angle TRK is half the measure of the central angle that intercepts the same arc.

The correct answer is option C.

The center of the circle is S, and the measure of angle TRK is 32.5°. We want to find the measure of angle TSK.

We can use the following theorem to solve this problem:

Inscribed Angle Theorem: An inscribed angle is half the measure of the central angle that intercepts the same arc.

In other words, if an angle is inscribed in a circle and intercepts a certain arc, then the measure of that angle is half the measure of the central angle that intercepts the same arc.

In this problem, angle TRK is an inscribed angle that intercepts arc KT. Therefore, the measure of angle TRK is half the measure of the central angle that intercepts arc KT.

Let's call the central angle that intercepts arc KT θ. Since angle TRK measures 32.5°, we know that θ measures 32.5° * 2 = 65°.

Now, we can use the Inscribed Angle Theorem again to find the measure of angle TSK.

Angle TSK is an inscribed angle that intercepts arc KT, and the measure of the central angle that intercepts arc KT is 65°. Therefore, the measure of angle TSK is half the measure of the central angle that intercepts the same arc, which is 65° * 2 = 130°.

The measure of angle TSK is 130° making option C the correct option.

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The question probable may be:

The center of the circle is S. Note: Figure not drawn to scale. If mangle TRK equal 32.5 ° , what is mangle TSK ? A. 32.5 ° B. 65 ° C. 130 ° D. 16.25 °

24,000 - 260 = 23,740

23,740 + 260 = 24,000

The adult elephant weighs 23,740 more pounds than the baby elephant.

Given the equation:

y = x^2 – 18x

Rewrite in vertex form:

y = x^2 – 18x + (18/2)^2 – (18/2)^2

y = (x – 9)^2 – 81

Swap x and y:

x = (y – 9)^2 – 81

Solve for y:

x + 81 = (y – 9)^2

y – 9 = sqrt (x + 81)

y = sqrt (x + 81) + 9

or

y = (x + 81)^(1/2) + 9

Answer:

The required equation which can be used to solve for the value of c is given by :

[tex]\bf\sin 50=\frac{3}{c}[/tex]

Step-by-step explanation:

For better understanding of the solution, see the attached figure :

AC = 3 meter

CB = a meter

BA = c meter

m∠ABC = 50°

Now, to find the value of c.

In right angle triangle right angled at C, we need to find the length of hypotenuse, so using the sine rule in the ΔABC

[tex]\implies \sin\theta=\frac{Perpendicular}{Hypotenuse}\\\\\implies \sin 50=\frac{3}{c}[/tex]

Hence, the required equation which can be used to solve for the value of c is given by :

[tex]\bf\sin 50=\frac{3}{c}[/tex]

A number dividing by a proper fraction always make the number bigger.

Fractions are a kind of real numbers where we express a number as a part of a whole.

Fractions are of the form p/q, where p is called the numerator and q is called the denominator.

Algebraically speaking when a number is divided by a fraction, then actually the number is getting multiplied by it's reciprocal.

For example [tex]\frac{5}{1/2}[/tex] = 5 × [tex]\frac{2}{1}[/tex] = 10

That is a number when get divided by a proper fraction, operation is changed into the multiplication of the reciprocal.

In other words, we have to find that 5 is divided into how many equal 1/2

parts or 0.5 equal parts. Now, 1/2 part is actually the half part of 1.

Since 1/2 is half part of 1, 1 can be divided into 2 equal 1/2 parts.

We know that 5 when divided into equal 1 parts, we will get 5 parts.

So 5 can be divided into 5 × 2 = 10 equal 1/2 parts.

Hence, dividing by a fraction make a number bigger.

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Answer:

Try, Try again if at first you dont

exceed

Step-by-step explanation:

Final answer:

To calculate time per page, divide the total printing time by the number of pages. A printer that prints 9 pages in 3 minutes takes approximately 0.333 minutes (or 20 seconds) to print one page.

Explanation:

The question is asking us to calculate the time it takes for a color printer to print one single page. To find this, we need to divide the total time taken to print multiple pages by the number of pages printed. So, if a printer prints 9 pages in 3 minutes, we can calculate the time per page as follows:

First, identify the total time taken for printing multiple pages, which is 3 minutes for 9 pages.

Divide the total minutes by the number of pages to get the time per page. In this instance, it would be 3 minutes ÷ 9 pages.

Perform the division to find the time it takes to print one page. 3 minutes ÷ 9 pages = 0.333... minutes per page.

Therefore, it takes approximately 0.333 minutes (or 20 seconds) for the color printer to print one page.

From the graph, it is obtained that there is a reflection on the x-axis.

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

It is obtained that, the x-coordinate of a point that is reflected across the x-axis stays constant, but the y-coordinate is assumed to be the additive inverse. The x-axis' reflection of point (x, y) is (x, -y).

The new reflected graph's reflection equation will be y=f(x) y = f (x) given an equation of the form y=−f(x) y = − f ( x ). To put it another way, the function may be simply multiplied by 1, which results in a curve that is mirrored across the x-axis.

Thus, from the graph, it is obtained that there is a reflection on the x-axis.

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Answer:

The correct answer is Euclid.

Step-by-step explanation:

Euclid was a Greek mathematician, who is referred as the father of geometry and founder of geometry.

One of Euclid's most notable work, in the form of 'The Elements' has the strongest fundamental texts on geometry.

Apart from geometry, Euclid also developed many mathematical theories.

The next consecutive even integer will be y + 3

What is Arithmetic Progression?

An arithmetic progression or arithmetic sequence ( AP ) is a sequence of numbers such that the difference between the consecutive terms is constant.

The nth term of an AP is given be aₙ = a₁ + ( n - 1 ) d

where a₁ = first term

d = common difference between terms

Given data ,

y + 1 = even integer

The next consecutive even integer can be calculated by adding 2 because the difference between two consecutive even or odd integers is always two.

Therefore , y + 1 + 2 = y + 3

Hence , the next consecutive even integer will be y + 3

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