Xavier starts 5 feet away from a motion detector. He then walks away from the detector at a rate of 0.5 ft/sec for 4 seconds. He remains
still for 2 seconds, and then walks toward the detector at a rate of -2 ft/sec for 3 seconds. How far in foot is Xavier from the motion
detector when he finishes his walk?

This can be expressed in this form:

1/2x - 18.

Answer:

C & B

Step-by-step explanation:

Answer:

D, and A

Step-by-step explanation:

D because a straight line can not have a slope.

A because a straight line without a slope is shown, and located at x=4

y=3x+19

Step-by-step explanation:

equation parallel to y=3x+3 means having the same gradient .Here gradient is 3 where you equate equation with y=mx +c where m is the gradient and c is the y-intercept

Equation of line y=3x+c

you must find c ,replace point (-3,10) in equation y=3x+c

10=3(-3)+c

10=-9+c

10+9=c

c=19

equation of line parallel to y=3x+3 that passes through(-3,10) is y=3x+19

Answer:

1 ≥ t ≤ 3

Step-by-step explanation:

Given

h(t) = -16t² + 64t + 4

Required

Determine the interval which the bar is at a height greater than or equal to 52ft

This implies that

h(t) ≥ 52

Substitute -16t² + 64t + 4 for h(t)

-16t² + 64t + 4 ≥ 52

Collect like terms

-16t² + 64t + 4 - 52 ≥ 0

-16t² + 64t - 48 ≥ 0

Divide through by 16

-t² + 4t - 3 ≥ 0

Multiply through by -1

t² - 4t + 3 ≤ 0

t² - 3t - t + 3 ≤ 0

t(t - 3) -1(t - 3) ≤ 0

(t - 1)(t - 3) ≤ 0

t - 1 ≤ 0 or t - 3 ≤ 0

t ≤ 1 or t ≤ 3

Rewrite as:

1 ≥ t or t ≤ 3

Combine inequality

1 ≥ t ≤ 3

Answer:

multiply 10 times 6

= 60*8 and then divide by 3

Step-by-step explanation:

Answer:

multiply 10 times 6= 60*8 and then divide by 3

Step-by-step explanation:

multiply 10 times 6= 60*8 and then divide by 3

Answer:

50

Step-by-step explanation:

Answer:

∠ 2 = 50°

Step-by-step explanation:

5x + 55 and 2x + 100 are corresponding angles and are congruent, thus

5x + 55 = 2x + 100 ( subtract 2x from both sides )

3x + 55 = 100 ( subtract 55 from both sides )

3x = 45 ( divide both sides by 3 )

x = 15

Then

5x + 55 = 5(15) + 55 = 75 + 55 = 130°

5x + 55 and ∠ 2 are adjacent angles and are supplementary, thus

∠ 2 = 180° - 130° = 50°

Answer:

-2

Step-by-step explanation:

(x,y)

Answer:

-2

Step-by-step explanation:

is it not that simple? im not sure im pretty sire its just 2 though

Answer:

A.) 6x2+2x−7

Step-by-step explanation:

Answer:

6x^2 + 2x - 7.

trust me i just did it

Step-by-step explanation:

Answer: x=27

Step-by-step explanation:

Just like square root but cube root is by 3 not 2. So to cube something is to times it by itself 3 times. 3x3x3=27

Answer:

2 miles = 3218.6 com

3km = 3000m

ATQ, 2 miles - 3km =

3218.6m - 3000m =

218.6m

Answer:

12b(5a-6)

Step-by-step explanation:

60ab-72b and 12b has a common factor. Hence, divide 12b into 60ab and -72b. Which you get 12b(5a-6)

Answer:

B: 12b(5a - 6)

Step-by-step explanation

Edge 2021

Answer:

127 degrees

Step-by-step explanation:

Interior Congruent Angles

Also if it asks for angle 4 or 5, just know on one side like 6 and 4, they must add up to 180 degrees, so that males angle 4, 53 degrees.

The slope of the line is 4/10

remember: rise over run

Answer:

i think that the answer is the first equation

Step-by-step explanation:

The equation of the line passing through the points (0, 3) and (6, 11) is:

y = (4/3)x + 3.

Option C is the correct answer.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

To find the equation of the line passing through the points (0, 3) and (6, 11).

We can use the slope-intercept form of a linear equation,

which is y = mx + b, where m is the slope of the line and b is the y-intercept.

First, we can find the slope of the line by using the formula:

[tex]m = (y_2 - y_1) / (x_2 - x_1)[/tex]

where

[tex](x_1, y_1) = (0, 3)\\(x_2, y_2) = (6, 11).[/tex]

So,

m = (11 - 3) / (6 - 0) = 8/6 = 4/3

The slope of the line is 4/3.

Next,

We can use the point-slope form of a linear equation to write the equation of the line in terms of one of the points and the slope:

[tex]y - y_1 = m(x - x_1)[/tex]

Choosing the point (0, 3), we get:

y - 3 = (4/3)(x - 0)

Simplifying and solving for y, we get:

y = (4/3)x + 3

Therefore,

The equation of the line passing through the points (0, 3) and (6, 11) is:

y = (4/3)x + 3.

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Step-by-step explanation:

Sequence is defined as arrangement f numbers in a specific or defined pattern. Sequence are categorized into

1) Arithmetic

2) Geometric

Arithmetic sequence are characterized by their common difference while Geometric sequence are characterized by their common ratio.

Given a sequance of numbers say;

T1, T2, T3...

The first term "a" of the sequence is T1

Common difference d = T2-T1 =T3-T2

Common ratio = T2/T1 = T3/T2

The formula for calculating nth term of an Arithmetic sequence is expressed as;

Tn = a+(n-1)d

a is the first term

n is the number of terms

d is the common difference

The nth term of a Geometric sequence is expressed as;

Tn = ar^{n-1}

r is the common ratio

Numbers are arranged in a sequence when they follow a predetermined or established pattern. Sequences can be divided into

1) Mathematics

2) Graphitic

Geometric sequences are characterized by their common ratio, whereas arithmetic sequences are distinguished by their common difference.

Suppose a sequence of numbers is given;

T1, T2, T3...

The sequence's initial term "a" is T1.

common distinction d = T2-T1 =T3-T2

T2/T1 Common Ratio T3/T2

The following is the formula for finding the nth term in an arithmetic sequence:

Tn = a+(n-1)d

The first term is a.

The number of terms is n.

d is the typical discrepancy

The nth term of a Geometric sequence is expressed as;

[tex]T_{n} =ar^{n-1}[/tex]

r is the common ratio

To learn more about information Sequence :

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Answer:

216

Step-by-step explanation:

8×20=160 and 8×7=56 160+56=216 idky u told me to do it in my head but i did so ya

Answer:

Yes if the equation is Y= 9X

Step-by-step explanation:

-9= 9×-1 ---} -9 = -9

Answer:

y=2x-5

Step-by-step explanation:

[tex]y-y_{1}=m(x-x_{1})[/tex]

[tex]x_{1}=0, y_{1}=-5\\[/tex], and m=2

[tex]y-(-5)=2(x-0)[/tex], -(-5)-Two negatives make it positive, and you distribute the 2

[tex]y+5=2x[/tex], you now subtract 5 to get y by itself to get your answer of

[tex]y=2x-5[/tex]

*NOTE* (0,-5) is the y-intercept, so you could have used the linear equation of y=mx+b, m=2, and b(y-intercept)=-5

giving you y=2x-5

Answer:

The answer to this depends on the accuracy of the way this is transcribed.  If the value on the left side of the equals sign is indeed x, then it would be a rational equation.  If it is meant to be another scalar value though, then this would be a quadratic equation.

Step-by-step explanation:

This depends on the what is on the other side of the equals sign.  If it is a scalar value, then you are guaranteed a proper quadratic equation.  In the example given though:

[tex]x = ax^2 + bx + c[/tex]

This is not actually true.  In this example, we can divide both sides by x, giving us a very different equation:

[tex]x = ax^2 + bx + c\\1 = ax + b + c/x\\ax + c/x = 1b[/tex]

and this equation actually a rational one.

Answer:

Given are two complex numbers as

When we add algebraically, we add the real parts and then add the imaginary parts separately

Hence

Geometrically we draw position vector of both the points.  The sum would be resultant of these two vectors.

Step-by-step explanation:

The sum of the complex number in rectangular form is -1 +i

Complex numbers are written in the form x + iy

Given the complex numbers expressed as:

z1 = 8 - i

z2 = -9 + 2i

Take the sum

z1 + z2 = (8 - 9) + (-i+2i)
z1 +z2 = -1 + i

Hence the sum of the complex number in rectangular form is -1 +i

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Answer: Side Angle Side (SAS) is a rule used to prove whether a given set of triangles are congruent. In this case, two triangles are congruent if two sides and one included angle in a given triangle are equal to the corresponding two sides and one included angle in another triangle.

Step-by-step explanation: I got this from a website, Hope it helps!!!

Answer:

$0.125 , so 12.5 cents per pencil

Step-by-step explanation:

[tex]\frac{3.00}{24}[/tex]

You can double check this by doing [tex]0.125*24[/tex] , making sure it equals 3.

Answer:

The pencils cost about 13 cents a pencil.

Step-by-step explanation:

Divide 3 by 24 and you get 0.125 you can round to the nearest hundredth to get 13 cents. Also see if 12 cents is a answer if 13 cents is not available.

Answer:

{(5,9), (-6,1),(6,5),(-8,5)}

Step-by-step explanation:

There is no repeating X factor

Answer:

The measure of the indicated exterior angle is 110°

Step-by-step explanation:

Let us revise the rule of the exterior angle

In a triangle, the measure of an exterior angle at a vertex of the triangle equals the sum of the measures of the two opposite interior angles to this vertex.

We will use this rule to solve the question

∵ The ladder, the house, and the ground formed a right triangle

∵ The ladder's angle with the ground facing away from the house is

   an exterior angle of the triangle

∵ The angles of measures 90° and 20° are its opposite interior angles

→ By using the rule above

∴ The measure of the exterior angle = 90° + 20°

∴ The measure of the exterior angle = 110°

∴ The measure of the ladder's angle with the ground facing away

   from the house is 110°

∴ The measure of the indicated exterior angle is 110°

Answer:

one costs 17 dollars the other costs 55 dollars

Step-by-step explanation:

we have to make 2 equations using variables

x=shirt 1

y= shirt 2

y+x=72

x=3y+4

then substitute 3y+4 for x in the first equation

y+3y+4=72

subtract 4 and add y and 3y

4y=68

divide by 4

y= 17

use this for y in the second equation

x=3(17)+4

x=51+4

x=55  

Answer: positive then greater than

Step-by-step explanation:

Answer:

a) If he ordered 100 feet of tape, will he have enough tape to wrap 28 swords?

No he would not

b) How much will he have left over or how much more will he need?

= He would have 144 inches left over.

Step-by-step explanation:

The sword maker in the cove ordered a special tape to wrap the sword handles with. He knew each sword would need 48 inches of tape. If he ordered 100 feet of tape, will he have enough tape to wrap 28 swords? How much will he have left over or how much more will he need?

From the above question, each sword would need 48 inches of tape

He would need to wrap 28 swords, hence:

1 swords = 48 inches

28 swords = x

x = 28 × 48 inches

= 1344 inches of tapes

Therefore to cover each sword he would need a total of 1344 inches of tape.

He ordered 100 feet of tape

We convert 100 feet to inches

1 foot = 12 inches

100 feet = x

x = 100 × 12 inches

x = 1200 inches

Hence, he ordered 1200 inches of tape.

a) If he ordered 100 feet of tape, will he have enough tape to wrap 28 swords?

100 feet = 1200 inches of tapes

To wrap 28 swords he would need 1344 inches of tape hence, he would not have enough tape to wrap 28 swords.

b) How much will he have left over or how much more will he need?

= 1344 inches - 1200 inches

= 144 inches

He would have 144 inches left over.