at what time the velocity and acceleration vectors are orthogonal

Answer:

x=4.5

Step-by-step explanation:

8*x = 4*9

8x = 36

x = 4.5

Answer:

9/2

Step-by-step explanation:

Let the unknown number = n

Therefore, we can decode your question in the following manner:

8 x n = 4 x 9

Recognize that 4 x 9 = 36

So, 8 x n = 36

Lets divide 8 in both sides

n = 36/8 = 9/2

Therefore, n = 9/2

Answer:

g(5) - f(1) = 8

g(5) = 11

Step-by-step explanation:

Given:

g(x) = 2x + 1

f(x) = x + 2

Find:

g(5)

g(5) - f(1)

Computation:

g(x) = 2x + 1

g(5) = 2(5) + 1

g(5) = 11

f(x) = x + 2

f(1) = 1 + 2

f(1) = 3

g(5) - f(1) =11 - 3

g(5) - f(1) = 8

Answer:

24x² - 46x + 7

Step-by-step explanation:

Area of the shaded region = area of the larger square - area of the smaller square

✔️Area of the larger square = s²

= (5x - 4)²

= (5x - 4)(5x - 4)

= 5x(5x - 4) -4(5x - 4)

= 25x² - 20x - 20x + 16

= 25x² - 40x + 16

✔️Area of smaller square = s²

= (x + 3)² = (x + 3)(x + 3)

= x(x + 3) +3(x + 3)

= x² + 3x + 3x + 9

= x² + 6x + 9

✔️Area of the shaded region = (25x² - 40x + 16) - (x² + 6x + 9)

= 25x² - 40x + 16 - x² - 6x - 9 (distributive property)

Ad like terms

= 24x² - 46x + 7

Answer:

a) 0.8(120) = 96 completed

b) 120 - 96 = 24 uncompleted

Answer:

depended is the 6th grade

independed the 2/9 students

-by-step explanation:

With even just two points, you can find the equation of a line in slope-intercept form.

Slope-intercept form: [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept

1) Solve for the slope ([tex]m[/tex])

The equation to solve for the slope is [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] when the two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. Plug the coordinates of these points into the equation and solve for [tex]m[/tex].

Then, plug [tex]m[/tex] into [tex]y=mx+b[/tex].

1) Solve for the y-intercept ([tex]b[/tex])

Then, take any of the given points and plug it into [tex]y=mx+b[/tex] along with the slope. Isolate [tex]b[/tex] to get the y-intercept. Then, plug both m and b back into [tex]y=mx+b[/tex] to get your final equation.

I hope this helps!

9514 1404 393

Answer:

  P'(1, -7)

  Q'(6, -7)

  R'(-3, -10)

Step-by-step explanation:

The relevant transformation is ...

  (x, y) ⇒ (y, x) . . . . . . reflection over y=x

Simply interchange the x- and y-coordinates.

  P'(1, -7)

  Q'(6, -7)

  R'(-3, -10)

Answer:

line s

Step-by-step explanation:

Answer:

your answer will be line r

Step-by-step explanation:

hope it help

Answer:

1

Step-by-step explanation:

Answer:

a) V = 35.1 in.^3

b) V = 288 pi in.^3

c) h = 2.7 in.

Step-by-step explanation:

a)

radius of base = 2 in.

height = 8 in.

volume of cone = (1/3)(pi)(r^2)h

V = (1/3)(pi)(2 in.)^2(8 in.)

V = 35.1 in.^3

You are correct.

b)

You must leave the answer in terms of pi, so do not use 3.14 or another approximation for pi.

radius of base = 6 in.

height = 24 in.

volume of cylinder = (pi)(r^2)h

V = (1/3)(pi)(6 in.)^2(24 in.)

V = 288 pi in.^3

c)

volume = 288 pi in.^3

radius = 18 in.

288 pi in.^3 = (1/3)(pi)(18 in)^2 h

288 in. = (1/3)(324)h

288 in. = 108h

h = 2.666 in.

h = 2.7 in.

Answer:

x(^9 radicand y^2)

Last option

Answer:

Step-by-step explanation:

(4x+9)/(7/3)=(3x)/(1/2)

(12x+27)/7=6x

12x+27=42x

-30x+27=0

-30x=-27

x=27/30

x=9/10

Answer:

I got x=0.

Step-by-step explanation:

Tell me if I am wrong.

Answer:

The coefficients are:

[tex](a)\ 5x[/tex]

[tex](b)\ -4b[/tex]

[tex](c)\ 38bc[/tex]

[tex](d)\ -24b^2c[/tex]

Step-by-step explanation:

Required

The coefficient of a

To get the coefficient, we simply remove a. The remaining terms is the required coefficient

Solving (a):

[tex]Expression = 5ax[/tex]

Remove a

5x:

Hence, the coefficient is 5x

Solving (b):

[tex]Expression = -4ab[/tex]

Remove a

-4b

Hence, the coefficient is -4b

Solving (c):

[tex]Expression = 38abc[/tex]

Remove a

38bc

Hence, the coefficient is 38bc

Solving (d):

[tex]Expression=-24ab^2c[/tex]

Remove a

[tex]-24b^2c[/tex]

Hence, the coefficient is [tex]-24b^2c[/tex]

Answer: 148.32 (Rounded) 148.3191489 (Unrounded)

Step-by-step explanation:

Answer:

hope it is helpful

plz mrk it as brainliest

Answer:

3 1/2

Step-by-step explanation:

That is the largest value.

Answer:

3 1/2 ounces

Step-by-step explanation:

That is the biggest number on the graph.

Answer:

Step-by-step explanation:

θ = angle of incidence = angle of reflection

You have two similar triangles.

tanθ = 6/4 = h/45

h = 45×6/4 = 67.5 ft

The required height of the building is 67.5 feet.

Johnny uses a mirror placed on level ground to measure the height of a building. Johnny's eyes are 6 feet above the ground and he stands 4 feet away from the mirror. If the mirror is 45 feet away from the building’s base, how tall the building is determined.

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

Since the two triangles are similar,
Let the height of the building is x.
The ratio of height and distance from the mirror Jhonny = height and distance of mirror from the building.
6/4=x/45
x = 11.25*6
x = 67.5

Thus, the required height of the building is 67.5 feet.

Learn more about triangles here:
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Answer:

2.17 x 10^8

0.253 x 10^-4 if number is 0.000253 or 2.53 x 10^2 if number is 253

Step-by-step explanation:

Answer: r ≈ 7.01%

Step-by-step explanation:

Answer:

4.9%  

Step-by-step explanation:

Answer:

nonagon

Step-by-step explanation:

The correct name for a 9-sided polygon is nonagon.

Answer:

option c. nonagon

..............

Answer: 36 inches long. Therefore, 3 feet long.

Step-by-step explanation: Add 24 + 12 to get your answer. Then divide by 12 to get 3 feet.

The length of a string before Lia cut it is 60 feet.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, Lia cut a sting into 2 pieces .

One piece of the string is 24 inches long.

Let the length of other piece be x.

The other piece of the string is 12 inches long.

Now, x=24+12

x=36

So, the total length of string = 24+36

= 60 feet

Therefore, the length of a string before Lia cut it is 60 feet.

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Answer:

1/(32^1.4)

Step-by-step explanation:

1/(32^1.4)

Answer:

Perimeter = 2*Length + 2*Width

                = 2(10’6”) + 2(14)

                = 21’ + 28’

                = 49’

Step-by-step explanation:

Answer:

The only possible value for x is 7.

Step-by-step explanation:

Recognize that we are given two different equations for the area, A:

1) A = 63 in^2, and

2) A = x^2 - 16x + 126

These two equations must be equal to each other:  A = A

and therefore,

x^2 - 16x + 126 = 63, which becomes x^2 - 16x + 63 = 0 if we subtract 63 from both sides.

Let's solve this using "completing the square."  Take half of the coefficient of x (which coefficient is -16), halve it (obtaining -8) and square the result (obtaining 64).  Now, between -16x and +63 (see the last equation, above), we write +64 - 64, obtaining:

x^2 - 16x + 64 - 64 + 63, which can be rewritten as:

(x - 8)^2 -1 = 0.  Note that this has the form (x - h)^2 + k, and that h is 8 and k is -1.  Thus, the associated parabolic graph has its vertex at (h, k), or (8, -1).  This graph opens up.  Because the vertex is below the x-axis, we know that the graph intersects the x-axis in two places.

Let's find these x values.  Rewrite (x - 8)^2 -1 = 0 as (x - 8)^2 = 1.  Squaring both sides results in x - 8 = 1, which simplifies to x = 9.  This x = 9 is 1 greater than the x-coordinate of the vertex (8).  Knowing tht the graph is symmetrical about the vertical line x = 8, we can safely assume that x = 7 is the other solution, as it is 1 unit to the left of x = 8.

Now we must check these possible solutions {7, 9}.  

Evaluate the second equation at each 7 and 9 and determine whether the area turns out to be 63 in^2, as it must.

(7)^2 - 16(7) + 126 = 49 + 126 - 112, which in turn is equal to 63.  Yes, x = 7 is a possible value for x.

Next:  x = 9.  (9)^2 - 16(9) + 126 = 81 - 112 + 126 = 95.  This does not agree with A = 63 in^2, so we must reject x = 9.

The only possible value for x is 7.