drag and drop the numbers into the table to complete the table of values for the equation y = 2x + 7

Parametric representation for the plane that passes through the given points is x = 1 + s + t; y = 2 + s - t; z = - 3 - s + t.

Given that, the coordinate is (1, 2, −3), vectors are i + j − k and i − j + k.

A parametric representation of a function expresses the functional relationship between several variables by means of auxiliary variable parameters. In the case of two variables x and y, the expression F(x, y) = 0 can be geometrically interpreted as the equation of a plane curve.

Normal vector of this plane

n = det [(i j k) (1 1 - 1) (1 - 1 1)]

= i(1 - 1) - j(1 + 1) + k(-1 - 1)

= - 2j - 2k.

So, equation of plane 2(y - 2) - 2(z + 3) = 0; y + z + 1 = 0.

Parametric equation of this plane: r = <1, 2, - 3> + s<i1, 1, - 1> + t<1, - 1, 1>;

x = 1 + s + t; y = 2 + s - t; z = - 3 - s + t

Therefore, parametric representation for the plane that passes through the given points is x = 1 + s + t; y = 2 + s - t; z = - 3 - s + t.

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Answer:

3:7

Step-by-step explanation:

Let x = pounds of the $10 rice in the mixture

Let y = pounds of the $30 rice in the mixture

Total cost of the $10 rice = 10x

Total cost of the $30 rice = 30y

(10x + 30y) / (x + y) = 24

Solve this equation for y/x:

10x + 30y = 24(x + y)

10x + 30y = 24x + 24y

30y - 24y = 24x - 10x

6y = 14x

y/x = 6/14  simplify the fraction

y/x = 3/7

So, the ratio of the two different types of rice (y:x) is 3:7, meaning a pound of the rice mixture has 3 parts of the $30 rice to 7 parts of the $10 rice.

Answer:

What do we have to do in this? Find x? Let me know I'll explain it in the comment section

Answer:

\(slope = \frac{rise}{run} \)

The slope is 3

Yep thts your answer

The value of d in the image that shows the two parallel lines that are crossed by the transversal is determined as: 125°.

In geometry, a transversal is a line that intersects two or more other lines at distinct points. When a transversal intersects a pair of parallel lines, it creates various angles and relationships between those angles.

The image attached below shows the two parallel lines which are crossed by the transversal, where angle d and 125° are vertical angles.

Since they are vertical angles, they will be equal or congruent to each other. Therefore, the value of d = 125°

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Answer:

the person above is right it's 4.5 units

give them the crown

Answer:

3 Stamps left

Step-by-step explanation:

275/8=34.375

34*8=272

275-272=3

Answer: 3

Answer:

1mph or 1 mile per hour

Step-by-step explanation:

simple

Answer:

Convert 5 5/32 to an improper fraction.

Step-by-step explanation:

Exact Form:

165/32

Decimal Form:

5.15625

Mixed Number Form:

5 5/32

Answer:

\({ \tt{5 \frac{5}{32} = \frac{(32 \times 5) + 5}{32} }} \\ \\ = { \tt{ \frac{165}{32} }} \\ \\ = { \boxed{ \tt{5.15625}}}\)

The implicit derivative is given as follows:

dx/dt(x = 4)  = 1/12.

The function in this problem is given as follows:

y = 3x² + 1.

The implicit derivative, relative to the variable t, is given as follows:

dy/dt = 6x dx/dt.

(the derivative of the constant 1 is of zero).

The parameters for this problem are given as follows:

x = 4, dy/dt = 2.

Hence the derivative is obtained as follows:

2 = 6(4) dx/dt

dx/dt = 2/24

dx/dt = 1/12.

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Answer:

The cost of required steel is \(169.56 *27 = 4578.12\) dollars

Step-by-step explanation:

The surface area of cylinder will be equivalent to the area of the steel sheet.

Surface area of cylinder \(= 2\pi rh+2\pi r^2\)

Substituting the given values we get

Surface area of cylinder

\(= 2*3.14*3*6 + 2*3.14 *3^2\\= 169.56\)square meter

Cost of 1 square meter of steel is  $27

Then, the cost of required steel is

\(169.56 *27 = 4578.12\) dollars

a = m - 3

To find the value of a when m = 3, you need to replace m's value into the equation, as follows:

a = 3 - 3

a = 0

9514 1404 393

Answer:

Step-by-step explanation:

Let 'a', 'b', 'c' represent the numbers of cards held by Ann, Beth, and Catch.

  b = a +4 . . . . . . Beth has 4 more cards than Ann

  c = 3b . . . . . . . . Catch has 3 times as many as Beth

  a +b +c = 51 . . . . the total number of cards is 51

Substituting for c, we have ...

  a +b +3b = 51

  a +4b = 51

Substituting for 'b' we have ...

  a +4(a +4) = 51

  5a +16 = 51 . . . . . . collect terms

  5a = 35 . . . . . . . subtract 16

  a = 7 . . . . . . . . divide by 5

  b = a +4 = 7 +4 = 11

  c = 3b = 3(11) = 33

Ann has 7 cards; Beth has 11 cards; Catch has 33 cards.

Answer:

  y = -5/2x +1

Step-by-step explanation:

You want the slope-intercept form equation for the line through the point (-2, 6) that is parallel to 5x +2y = -4.

The equation of a parallel line can be the same as the given equation, except for the constant. The new constant can be found by substituting the given point coordinates:

  5(-2) +2(6) = c

  -10 +12 = c

  2 = c

Now we know the equation of the parallel line can be written as ...

  5x +2y = 2

Solving for y puts this in slope-intercept form:

  2y = -5x +2 . . . . . . . . subtract 5x

  y = -5/2x +1 . . . . . . . . divide by 2

We don't know what your boxes look like, but we can separate the numbers to make it look like this:

  \(\boxed{y=\dfrac{-5}{2}x+1}\)

#95141404393

Answer:

true

Step-by-step explanation:

Step-by-step explanation:

\( = 4 {x}^{5} \times 5 {x}^{6} \)

\( = (4 \times 5) {x}^{5 + 6} \)

\( = 20 {x}^{11} \)

its 50.3.2  tags: c c c cc  cc c  c c c ar c free car no yes show two plus pwe

The answer is D ...........

Answer:

the answer is Actually A believe me i did the test

Step-by-step explanation:

SOLUTION

We want to find the simplest form of

This becomes

Hence the answer is 8.

Note that the denominator of the exponent becomes root and the numerator becomes power

Answer:  Y=90, X=39, blank angle=39

Step-by-step explanation:

Since y is a right angle, which is very visible by the square angle thingy, y = 90, and since y + 51 degree angle + x = 180, we can find the value of x, and then find the blank angle. Since y is 90, it is half of the supplementary angle. So since the other half is 51 degree angle + x, x + 51 = 90, so 90 - 51 = 39, so the value of x is 39. and since the blank angle is vertically opposite to x, then the blank angle is also 39!

Sorry if I overexplained.

Answer:

Step-by-step explanation:

By substituting the value of \(x\) in the given expressions we can find the value of the expressions,

If the expression is \(x^{5}\),

Substitute the value \(x=2\).

\(x^{5}=2^5\)

    \(=2\times 2\times 2\times 2\times 2\)

    \(=32\)

By substituting \(x=2\) in the second expression \(8^x\)

\(8^{x}=8^2\)

\(8^2=8\times 8\)

    \(=64\)

By substituting \(x=2\) in the third expression \(x^4\)

\(x^4=2^4\)

\(2^4=2\times 2\times 2\times 2\)

    \(=16\)

Answer: 1/5

Step-by-step explanation:

Answer:

I'm pretty sure the answer is 48 minutes!

Answer:

20 x 20 x 20 x 20 × 15 × 15 ×15 = 540000000

Answer: 540000000

Step-by-step explanation: Please mark

Answer:-32=-2 x -2 x -2 x -2 x -2

Step-by-step explanation:

-32=-2 x -2 x -2 x -2 x -2

The length of ST is 24.

In geometry, a tangent is a line that touches a curve at a single point, without crossing over the curve at that point. This point of contact is called the point of tangency.

For example, in a circle, a tangent is a line that intersects the circle at exactly one point. The tangent line is perpendicular to the radius of the circle at the point of tangency.

Tangents are important in geometry because they allow us to find the slope of a curve at a specific point. The slope of the tangent line at a point on a curve is equal to the derivative of the function representing the curve at that point.

To find the length of ST, we need to find the length of SR and add it to the length of RT.

Using the tangent-tangent theorem, we know that RP is perpendicular to RT at point R. Therefore, angle RPT is a right angle.

We can use the Pythagorean theorem to find the length of RT. Let's call the length of RP "a" and the length of PT "b". Then, we have:

a² = (x+6)² + b² (from right triangle PQR)

a² = (2x-9)² + (b+3)² (from right triangle PSR)

Setting these two equations equal to each other, we have:

(x+6)² + b² = (2x-9)² + (b+3)²

Expanding and simplifying, we get:

x² - 24x + 90 = 0

Solving for x using the quadratic formula, we get:

x = (24 ± √(24² - 4190)) / (2*1) = 15 or 6

Since x cannot be negative, we take x = 15.

Now we can use the Pythagorean theorem to find the length of SR:

a² = (2x-9)² + (b+3)²

a² = (2*15-9)² + (b+3)²

a² = 276 + (b+3)²

We also know that SR = 3, so:

3² = (b+3)²

9 = b² + 6b + 9

b² + 6b - 0 = 0

Solving for b using the quadratic formula, we get:

b = (-6 ± √(6² - 410)) / (2*1) = -3 or 0

Since b cannot be negative, we take b = 0.

Therefore, we have:

a² = (x+6)² + b²

a² = (15+6)² + 0²

a² = 441

So, RT = a = √(441) = 21.

Finally, we have:

ST = SR + RT = 3 + 21 = 24.

Therefore, the length of ST is 24.

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Answer:

A=40.8 B=8

Step-by-step explanation:

A Explanation

£7.20*3=£21.6

£9.60*2=£19.2

19.2+21.6=40.8

B Explanation

£9.60*3=£28.8

86.40-28.8=57.6

57.6/7.20=8

The wheelchair access ramp must be 216.09 inches long.

To find the length of the wheelchair access ramp, we can use trigonometry.

The tangent function relates the angle of elevation to the ratio of the opposite side (height) to the adjacent side (length of the ramp).

Let's denote the length of the ramp as "x".

The height of the ramp is given as 18 inches.

Using the tangent function:

tan(angle of elevation) = height/length of the ramp

tan(4.8 degrees) = 18/x

To solve for x, we can rearrange the equation:

x = 18 / tan(4.8 degrees)

Using a calculator to evaluate the tangent of 4.8 degrees:

x = 18 / 0.08331

x= 216.09

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The solution to the system of linear equations,

2x - y = - 22 and - 7x + y = 67 is x = - 9 and y = 4.

If a system of equations only contains two linear equations with two variables, the system's equation can be graphed, the graph will have two straight lines, and the intersection point(s) of those lines will be the system's solution.

Given, Two linear equations 2x - y = 22 and y = 7x + 67 in two variable 'x' and 'y'.

Arranging the equation in a similar pattern we have,

2x - y = - 22 and - 7x + y = 67.

Now, Adding these two equations +y and -y will cancel out,

So, We have - 5x = 45.

x = - 9, and 2(-9) - y = - 22 ⇒ y = 4.

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Answer:

The coordinates of the midpoints are D(1.5, 2.5) and E(3.5, 2.5).

Step-by-step explanation: