Write the equation of the line in slope-intercept form.
It has a coefficient of m = -1 and passes through the point (9, 4).

9) The True Distance is 209 ft

10) The True Distance is; 66.5 ft

11) The True Height is; 57 ft

We are given that the scale of the map is 1 in : 38 ft

This means that 1 inch represents 38 ft

9) Now, we want to find the true distance of 5.5 inches from the map. Thus;

True distance = (5.5 * 38)/1

True Distance = 209 ft

10) Now, we want to find the true distance of 1.75 inches from the map. Thus;

True distance = (1.75 * 38)/1

True Distance = 66.5 ft

11) We are given the scale is 1 in : 85 ft.

Thus, the true height of 1.5 inches is;

True height = (1.5 * 38)/1

True Height = 57 ft

Read more about Scale of a Map at; https://brainly.com/question/5244920

#SPJ1

Answer:

See below

Step-by-step explanation:

find slope between     0,1     and   10, -49

  m =  (-49-1) / (10-0) = -5

slope intercept form

  y = mx + b

  y = -5 x +1    re=arrange

5x + y = 1

Answer:

Answer: mark me brainlest

Step-by-step explanation:

Answer is A.

Answer

EAD= EBC true.

Step-by-step explanation:

Both triangles are equal. The line between AE and EB show the lines are equal. In turn this makes the sides AD and BC equal. DC are the same length as AE and EB. In short, all sides are equal so the triangles are the same.

The absolute value equation that can be used to find the location of the outer edges of the stage is:

|x - 35| = 11.

The absolute function is defined by:

It measures the distance of a point x to the origin, hence, for example, |2| = |-2| = 2.

For this problem, the outer edges are 11 yards away from the 35 yards line, hence the equation is:

|x - 35| = 11.

The solutions are given as follows:

More can be learned about the absolute value function at https://brainly.com/question/24734454

#SPJ1

Cordniate of c would be (-11,-1).

by a factor of one half the cornet of C would be what? So let's list the coordinates of A. B. C. D. First. So a is at -4 -2. And B is at negative to positive too. C is at 2:04 and D is at two negative two. Okay. So if I'm going to dilate by a scale factor of one half, that means I'm going to divide everything by two. So a prime would be negative two comma negative one. So negative two negative one. Oops. Would be a prime. You erased that at the dot that I did. And then be prime would be at negative one comma one. So be prime would be at negative one, comma one. See prime Would be at 1:02 one comma two.  And d prime would be at one comma negative 11 comma negative one

So therefore the cordinates of C would be (-11,-1)

TO know more about cordinates

visit-:https://brainly.com/question/27827497

SPJ(

Step-by-step explanation:

When it says x = something, that basically means to replace the x with whatever it says x equals.

x = 0. Equation /. 3 x 0 = 0 + 1 = 1. Y = 1

x = -1. Equation/. 3 x -1 = -3 + 1 = -2. Y = -2

x = 2. Equation/. 3 x 2 = 6 + 1 = 7. Y = 7

Hope this helps!! (:

By cross multiplication, we have found the following results:

a) 20 miles are equal to 32.180 kilometers.

b) 64 kilometers are equal to 39.776 miles.

In this problem we must convert a given value in a unit into its equivalent quantity in another unit of same kind. We must convert miles to kilometers and viceversa by using conversion rates and cross multiplication.

First, we must convert a distance of 20 miles to kilometers by cross multiplication:

x = 20 mi × (1.609 km / 1 mi)

x = 32.180 km

Second, we must convert a distance of 64 kilometers to miles by cross multiplication:

x = 64 km × (1 mi / 1.609 km)

x = 39.776 mi

The graph is missing, but this question can resolved by using conversion rates, that is, a mile equal 1.609 kilometers.

To learn more on conversion factors: https://brainly.com/question/13259295

#SPJ1

Answer:

here is the answer⬇️

All of the statements are True when the expressions are evaluated using appropriate illustrations.

STATEMENT: 1

Real numbers have both rational and irrational values and can thus be manipulated using arithmetic operators like addition.

As a result, the statement is correct.

STATEMENT: 2

Real numbers can be expressed or raised to the power of another number in a variety of ways, including being squared.

STATEMENT: 3

All positive integers have a squared value that is greater than or equal to the value.

STATEMENT: 4

A sum's absolute value is always less than or equal to the sum of two numbers' absolute values.

Therefore, all of the statements are True when the expressions are evaluated using appropriate illustrations.

Know more about Real numbers here:

https://brainly.com/question/155227

#SPJ4

The complete question is given below:
Rewrite the following statements less formally, without using variables. Determine, as best as you can, whether the statements are true or false.

a. There are real numbers u and v with the property that u+v b. There is a real number x such that x2 c. For all positive integers n,n2≥n.

d. For all real numbers a and b,|a+b|≤|a|+|b|

The probability of a correct guess on the first try is 0.024%.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.

A number between 0 and 1 is the probability of an event.

where,

P(E) = Number of Favorable Outcomes/Number of Total Outcomes

Because a thief steals an ATM card and must randomly guess the correct four-digit pin code from an eight-key keypad, and digit repetition is permitted, the following calculation must be performed to determine the probability of a correct guess on the first try:

8 [tex]*[/tex] 8 [tex]*[/tex] 8 [tex]*[/tex] 8 = X

[tex]8 ^ {4 }[/tex] = X

simplifying the above equation, we get

4096 = X

1/4096 = X

0.000244140625 = X

0.000244140625 [tex]*[/tex] 100 = 0.024%

Therefore, the probability of a correct guess on the first try is 0.024%.

The complete question is;

A thief steals an atm card and must randomly guess the correct four​-digit pin code from a 8​-key keypad. repetition of digits is allowed. what is the probability of a correct guess on the first​ try?

To learn more about probability, refer to:

https://brainly.com/question/24756209

#SPJ4

The mass of the isotope after 45 hours is 2.5 grams.

Given, from the table we can find that when time is 10 hours,

the mass is 12.6 grams;

when time is 25 hours the mass is 6.3 grams .

And 12.6 × 1/2 = 6.3

Also we can find when time is 15 hours the mass is 10 grams,

when time is 30 hours, the mass is 5 grams as:

10 × 1/2 = 5

so we know that half life period is:

25 - 10 = 30 - 15 = 15 hours.

When time is 45 hours,

45 = 15+115

= 3 half life periods, so the mass is :

20 × 1/2 × 1/2 × 1/2

= 2.5 grams.

Hence the mass of the isotope after 45 hours is 2.5 grams.

Learn more about Mass problems here:

brainly.com/question/4208016

#SPJ9

Answer:

4/5

Step-by-step explanation:

because 1/5 + 4/5 = 1

Quadilateral ABCD is reflected over the x-axis. ---> (2, -4)

ABCD is translated 2 units right and 1 unit down. ---> (4, -5)

ABCD is dilated about the origin by a scale factor of 3. ---> (6, 12)

ABCD is rotated 180° clockwise about the origin. ---> (-2, 4)

Four sides, four vertices, and four angles make up a quadrilateral, which is a two-dimensional shape. Concave and convex are the two most common forms. Additionally, there are numerous subgroups of convex quadrilaterals, including trapezoids, parallelograms, rectangles, rhombus, and squares.

quadrilaterals come in a variety of forms.

Trapezium.

Parallelogram.

Rectangle.

Rhombus.

Square.

Kite.

To know more about Quadrilateral visit:

https://brainly.com/question/29934291

#SPJ1

Using the segment addition postulate and the bisection concept, the segment EF bisecting RS is given at the end of the answer.

The segment addition postulate is a geometry axiom that states that a line segment, divided into a number of smaller segments, has the length given by the sum of the lengths of the segments.

From this, the bisection concept is derived, which is when a line crosses a segment exactly at the segment's midpoint, meaning that point A is the midpoint of RS.

The illustration of this situation is given at the end of the answer.

More can be learned about the segment addition postulate at https://brainly.com/question/2134445

#SPJ1

A = 2p and B = 1/p  are the values of a and b.

What does math division mean?

To divide this,

[tex]\frac{6p^{2} }{3p} = 2p[/tex]

Multiplying back through, we have

[tex]3p * 2p = 6p^{2}[/tex]

Subtracting this from the first term under the box, we have

[tex]6p^{2} - 6p^{2} = 0[/tex]

Bring down the next term, 9p.

See how many times 3p goes into 9p = 9p/3p = 3

Multiplying back through, we have 3(3p) = 9p.  

Subtract this from the line above; 9p-9p = 0.  

Bring down the last term, 3.  

Since this is not 0, this is the remainder.  

This gives us

2p + 3 R 3;

writing this as a rational expression, we have

2p + 3 + 3/3p

The remainder term 3/3p will simplify to 1/1p or 1/p;

this gives us

2p + 3 + 1/p

Therefore, the answer is  A = 2p and B = 1/p

Learn more about division

brainly.com/question/21416852

#SPJ4

The locations of the vertices are shown below:

Herein we find four representations of polygons on Cartesian plane and we must determine the coordinates of the images generated by translation, a kind of rigid transformations. Translation is described by the following operation:

P'(x, y) = P(x, y) + T(x, y)

Where:

Case 1 (K(x, y) = (3, - 3), X(x, y) = (4, - 3), R(x, y) = (3, - 5), T(x, y) = (- 8, 7))

K'(x, y) = (3, - 3) + (- 8, 7) = (- 5, 4)

X'(x, y) = (4, - 3) + (- 8, 7) = (- 4, 4)

R'(x, y) = (3, - 5) + (- 8, 7) = (- 5, 2)

Case 2 (E(x, y) = (0, 2), X(x, y) = (3, 3), V(x, y) = (4, 0), Z(x, y) = (2, - 4), T(x, y) = (- 4, - 1))

E'(x, y) = (0, 2) + (- 4, - 1) = (- 4, 1)

X'(x, y) = (3, 3) + (- 4, - 1) = (- 1, 2)

V'(x, y) = (4, 0) + (- 4, - 1) = (0, - 1)

Z'(x, y) = (2, - 4) + (- 4, - 1) = (- 2, - 5)

Case 3 (G(x, y) = (- 4, 5), J(x, y) = (- 3, 4), U(x, y) = (- 5, 2), T(x, y) = (6, 0))

G'(x, y) = (- 4, 5) + (6, 0) = (2, 5)

J'(x, y) = (- 3, 4) + (6, 0) = (3, 4)

U'(x, y) = (- 5, 2) + (6, 0) = (1, 2)

Case 4 (V(x, y) = (0, 0), Y(x, y) = (- 5, 2), F(x, y) = (- 3, 4), T(x, y) = (3, - 5))

V'(x, y) = (0, 0) + (3, - 5) = (3, - 5)

Y'(x, y) = (- 5, 2) + (3, - 5) = (- 2, - 3)

F'(x, y) = (- 3, 4) + (3, - 5) = (0, - 1)

To learn more on rigid transformations: https://brainly.com/question/28004150

#SPJ1

Answer:

See attachments.

Step-by-step explanation:

A translation is a type of transformation that moves a figure left, right, up or down.  Every point on the original figure is translated (moved) by the same distance in the same direction.

Coordinates of the given pre-image:

Given mapping rule:

[tex](x, y) \rightarrow (x-8, y+7)[/tex]

This tells us to subtract 8 from the x-values and add 7 to the y-values.

[tex]\sf \implies K(3,-3) \rightarrow K'(3-8, -3+7)=K'(-5,4)[/tex]

[tex]\sf \implies R(3,-5) \rightarrow R'(3-8, -5+7)=R'(-5,2)[/tex]

[tex]\sf \implies X(4,-3) \rightarrow X'(4-8, -3+7)=X'(-4,4)[/tex]

Coordinates of the given pre-image:

Given mapping rule:

[tex](x, y) \rightarrow (x-4, y-1)[/tex]

This tells us to subtract 4 from the x-values and subtract 1 from the y-values.

[tex]\sf \implies E(0,1) \rightarrow E'(0-4, 1-1)=E'(-4,0)[/tex]

[tex]\sf \implies X(3,3) \rightarrow X'(3-4, 3-1)=X'(-1,2)[/tex]

[tex]\sf \implies V(4,0) \rightarrow V'(4-4, 0-1)=V'(0,-1)[/tex]

[tex]\sf \implies Z(2,-4) \rightarrow Z'(2-4, -4-1)=Z'(-2,-5)[/tex]

Coordinates of the given pre-image:

Given mapping rule:

[tex](x, y) \rightarrow (x+6, y)[/tex]

This tells us to add 6 to the x-values and the y-values remain unchanged.

[tex]\sf \implies G(-4,5) \rightarrow G'(-4+6, 5)=G'(2,5)[/tex]

[tex]\sf \implies J(-3,4) \rightarrow J'(-3+6, 4)=J'(3,4)[/tex]

[tex]\sf \implies U(-5,2) \rightarrow U'(-5+6, 2)=U'(1,2)[/tex]

Coordinates of the given pre-image:

Given mapping rule:

[tex](x, y) \rightarrow (x+3, y-5)[/tex]

This tells us to add 3 to the x-values and subtract 5 from the y-values.

[tex]\sf \implies F(-3,4) \rightarrow F'( -3+3, 4-5)=F'(0,-1)[/tex]

[tex]\sf \implies V(0,0) \rightarrow V'( 0+3, 0-5)=V'(3,-5)[/tex]

[tex]\sf \implies Y(-5,2) \rightarrow Y'( -5+3, 2-5)=Y'(-2,-3)[/tex]

Learn more about transformations here:

https://brainly.com/question/28354239

The value of the variable x is found to be x = 9.

A bisected angle divides the two sides in equals.

JKM = LKM

As, both are equal.

Then, each of these angles are 1/2 the angle JKL.

1/2 JKL = MKL

1/2 ×( 92) = 5x + 1

Further simplifying;

46 = 5x+1

Subtract 1 from each side

46-1 = 5x

45 = 5x

Divide each side by 5

45/5 = 5x/5

x = 9

Thus, the value of the unknown variable is found to be x = 9 units.

To know more about the angle bisector, here

https://brainly.com/question/14399747

#SPJ9

Answer:

Step-by-step explanation:

[tex]f(x)=-x^3-7x^2-7x+15\\Prove:\ x_1=-5\ \ \ \ x_2=-3\ \ \ \ x_3=1\ at\ f(x)=0\\\\-x^3-7x^2-7x+15=0[/tex]

Multiply both parts of the equation by -1:

[tex]x^3+7x^2+7x-15=0\\x^3+5x^2+2x^2+7x-15=0\\x^2*(x+5)+(2x^2+7x-15)=0\\x^2*(x+5)+(2x^2+10x-3x-15)=0\\x^2*(x+5)+(2x*(x+5)-3*(x+5))=0\\x^2*(x+5)+(x+5)*(2x-3)=0\\(x+5)*(x^2+2x-3)=0\\x+5=0\\x=-5\\x^2+2x-3=0\\x^2+3x-x-3=0\\x*(x+3)-(x+3)=0\\(x+3)*(x-1)=0\\x+3=0\\x=-3\\x-1=0\\x=1[/tex]

Answer: 7.6

Step-by-step explanation:

The Graph is not linear.

To graph f, we graph the equation y = f(x). To this end, we use the techniques outlined in Section 1.2.1. Specifically, we check for intercepts, test for symmetry, and plot additional points as needed. To find the x-intercepts, we set y = 0. Since y = f(x), this means f(x) = 0. f(x) = x2−x−6 0 = x2−x−6 0 = (x−3)(x+2) factor x−3=0 or x+2=0 x = −2,3 So we get (−2,0) and (3,0) as x-intercepts. To find the y-intercept, we set x = 0. Using function notation, this is the same as finding f(0) and f(0) = 02 − 0 − 6 = −6. Thus the y-intercept is (0, −6). As far as symmetry is concerned, we can tell from the intercepts that the graph possesses none of the three symmetries discussed thus far. (You should verify this.) We can make a table analogous to the ones we made in Section 1.2.1, plot the points and connect the dots in a somewhat pleasing fashion to get the graph below on the right. y x f(x) (x, f(x)) −3 6 (−3,6) −2 0 (−2,0) −1 −4 (−1,−4) 0 −6 (0, −6) 1 2 3 4 5 6 7 −3−2−11 2 3 4 1 −6 (1, −6) 2 −4 (2, −4) 3 0 (3, 0) 4 6 (4, 6)

To know more about Graphs

visit-:https://brainly.com/question/10712002

SPJ9

Answer:

Patrolling Communities.

Step-by-step explanation:

Bit much for this lol

The percentage increase in the student's height is 10.52%.

Here we are given that a student's height increases from 1.52m to 1.68m.

Thus, the absolute increase in the student's height will be-

1.68 - 1.52 = 0.16 meters.

Now, we need to find the percentage increase in the student's height.

The formula for calculating percentage increase is given by-

Percentage increase = change in value/ initial value * 100

Here, the change in value is 0.16 meters and the initial value is 1.52 meters.

Thus, percentage increase in height = 0.16 / 1.52 *100

= 1600/ 152

= 400/ 38

= 200/ 19

= 10.52%

Thus, the increase in the student's height is 10.52%.

Learn more about percentage change here-

https://brainly.in/question/19592355

#SPJ9

The standard deviation of quiz scores is 0.

To find the standard deviation:

Therefore, the standard deviation of quiz scores is 0.

know more about standard deviation here:

https://brainly.com/question/475676

#SPJ4

The function is 4|x-4|.

It is required to find the  function g.

A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

Given:

The original function is:

f(x)=|x|

Translation 4 units to the right we get,

f(x-4)=|x-4|

Horizontal stretch by a factor of 4

Multiplying by 4, so:

g(x)=4f(x-4)=4|x-4|

Therefore, the function is 4|x-4|.

Learn more details about function here:

https://brainly.com/question/12431044

#SPJ1

Answer:  [tex]\text{y} = \frac{7}{3}\text{x}-\frac{2}{3}[/tex]

This is the same as writing y = (7/3)x - 2/3

=======================================================

Explanation:

The given equation is in y = mx+b form

m = -3/7 = slope

b = 4 = y intercept

Flip the fraction for the slope to get -7/3, and flip the sign from negative to positive to get 7/3

The original slope is -3/7 and the perpendicular slope is 7/3. These two slopes multiply to -1.

We want the perpendicular line to go through [tex](\text{x}_1,\text{y}_1) = (2,4)\\\\[/tex]

We'll use the point-slope form to get...

[tex]\text{y} - \text{y}_1 = \text{m}(\text{x}-\text{x}_1)\\\\\text{y} - 4 = \frac{7}{3}(\text{x}-2)\\\\\text{y} - 4 = \frac{7}{3}\text{x}+\frac{7}{3}(-2)\\\\\text{y} - 4 = \frac{7}{3}\text{x}-\frac{14}{3}\\\\\text{y} = \frac{7}{3}\text{x}-\frac{14}{3}+ 4 \\\\\text{y} = \frac{7}{3}\text{x}-\frac{14}{3}+ \frac{12}{3} \\\\\text{y} = \frac{7}{3}\text{x}+\frac{-14+12}{3} \\\\\text{y} = \frac{7}{3}\text{x}-\frac{2}{3} \\\\[/tex]

This equation has a slope of 7/3 and y intercept of -2/3.

Answer:

4

Step-by-step explanation:

2+2=4

just like 2×2=4

its just 2 doubled

2 doubled equals 4

Answer:

8

Step-by-step explanation: