Humberto walks 3 miles due north then turns around and walks 5 miles due south how far is Humberto from his starting point

The equation of line in the given graph with coordinate points (2,-2) and (-3,-6) is 4x-5y=18.

A straight line's general equation is y = mx + c, where m is the gradient and y = c is the value at which the line intersects the y-axis. This value c is known as the y-axis intercept. Linear equations are classified into three types: point-slope, standard, and slope-intercept. The equation of a two-dimensional line is ax+by=c; it is fair to predict that the equation of a three-dimensional line is ax+by+cz=d; reasonable, but incorrect—it turns out that this is the equation of a plane. A plane, unlike a line, does not have a clear "direction."

Here,

The coordinates of line will be (2,-2) and (-3,-6).

slope m=(-6-(-2))/(-3-2)

=-4/-5

=4/5

(y-y1)=m(x-x1)

y+2=4/5(x-2)

5(y+2)=4(x-2)

5y+10=4x-8

4x-5y=18

4x-5y=18 is the equation of the line in the given graph with coordinate points (2,-2) and (-3,-6).

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Answer:

(- 12, 10 )

Step-by-step explanation:

2x + 4y = 16 → (1)

- 2x - 3y = - 6 → (2)

add (1) and (2) term by term to eliminate x

0 + y = 10

y = 10

substitute y = 10 into (1) and solve for x

2x + 4(10) = 16

2x + 40 = 16 ( subtract 40 from both sides )

2x = - 24 ( divide both sides by 2 )

x = - 12

solution is (- 12, 10 )

Answer:

(- 12, 10 )

Step-by-step explanation:

mark the person above me as brainliest

For the given equation,4x²−y²−24x−4y+28=0.The center is (h,k)=(3,−2), vertex (h+a,k)=(4,−2) and (h−a,k)=(2,−2), foci is (h+c,k)=(5.23,−2) and (h−c,k)=(0.77,−2)

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that, the equation of the hyperbola is,

4x²−y²−24x−4y+28=0

Comparing the equation with the standard equation we get,

Center (h,k)=(3,−2)

Vertex (h+a,k)=(4,−2) and (h−a,k)=(2,−2)

Foci (h+c,k)=(5.23,−2) and (h−c,k)=(0.77,−2)

Asymptotes y=2x−8 and y=−2x+4

Thus, for the given equation,4x²−y²−24x−4y+28=0.The center is (h,k)=(3,−2), vertex (h+a,k)=(4,−2) and (h−a,k)=(2,−2), foci is (h+c,k)=(5.23,−2) and (h−c,k)=(0.77,−2)

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The equation in slope-intercept form is y = 85x - 43

The given parameters are

A linear equation is represented as

y = m(x - X) + Y

Where m is the slope

Substitute the known values in the above equation

So, we have the following equation

y = 85(x - 0) - 43

Evaluate

y = 85x - 43

Hence. the linear equation is y = 85x - 43

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Check the picture below.

The equation of the line with coordinates (-7,3), (8,3) is y-3=0 as the slope of line is 0 because x-ordinate is same in both the points.

A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis. On the y-axis, this value c is referred to as the intercept. The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.

The two point form of equation,

y-y1=m(x-x1)

m=(y2-y1)/(x2-x1)

m=(3-3)/(8--7)

m=0

y-3=0(x+7)

y-3=0

Because the x-ordinate is the same at both points, the equation for the line with coordinates (-7,3) and (8,3) is y-3=0.

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Answer:

78

exclamation is that if 50 is lower than 60 which it is meaning that 78 is the correct answer if you multiply 18 + 34 that is not the right answer but there should be a right answer under this question you shouldn't trust me because I do not give a what the answer is I do not suggest you write down this answer but you do your top G

The maximum number of calling minutes you can use to keep your bill at $50 or lower is 110 minutes. If you use 110 minutes or less, your bill will not exceed $50.

To keep your bill at $50 or lower for the month, you need to set up an inequality using the cost function C(x):

C(x) = 40 + 0.20(x - 60)

Since you want to keep the cost at or below $50, the inequality is:

C(x) ≤ 50

Now, substitute the expression for C(x) into the inequality:

40 + 0.20(x - 60) ≤ 50

40 + 0.20x - 12 ≤ 50

0.20x + 28 ≤ 50

Now, isolate the term with "x" on one side by subtracting 28 from both sides:

0.20x ≤ 50 - 28

0.20x ≤ 22

Finally, divide both sides by 0.20 to solve for "x":

x ≤ 22 / 0.20

x ≤ 110

The maximum number of calling minutes you can use to keep your bill at $50 or lower is 110 minutes. If you use 110 minutes or less, your bill will not exceed $50.

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Answer:

210

Step-by-step explanation:

200 × (5% + 1)

=200 × (0.05 + 1)

=200 × 1.05

=210

yan po hope it helps

Answer: D. 81

Step-by-step explanation:

Box A: 3 possibilites

Box B: 3 possibilites

And so on, so you get 3^4, which is 81

Answer:

You take a pencil and slowly go across the graph from left to right.  If any two points are under the pencil at any one time, the relations is not a function.  For a relations to be a function, every input must have only one output, so there will be no two points graphed vertically on top of each other.

Step-by-step explanation:

If (x + 3) is a factor of f(x) = x³ + kx + 3 , then the value of k is -8 .

In the question ,

it is given that ,

the function is f(x) = x³ + kx + 3 ,

and also given that (x+3) is a factor of f(x) , that means

x + 3 = 0

x = -3

x = -3 should satisfy the function ,

So , substituting x = -3 in the function f(x) = x³ + kx + 3,

we get

f(-3) = (-3)³ + k(-3) + 3 = 0

-27 -3k + 3 = 0

-3k - 24 = 0

-3k = 24

k = 24/(-3)

k = -8

Therefore , If (x + 3) is a factor of f(x) = x³ + kx + 3 , then the value of k is -8 .

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Using mathematical permutation, there 30240 number of 10-letter words that can be formed from the arrangement of letters cbqgvlbbgc

Permutation is simply the manner of arrangement or selection of elements.

We shall calculate for the permutation of the letters cbqgvlbbgc as follows:

There are total of 10 letters

c = 2

b = 3

g = 2

q = 1

v = 1 and,

l = 1

permutation of cbqgvlbbgc = 10!/(2! × 2! × 3!)

permutation of cbqgvlbbgc = (10 × 9 × 8 × 7 × 6 × 5 × 4 × 3!)/(2! × 2! × 3!)

dividing common factors of the numerator and denominator, we have

permutation of cbqgvlbbgc = 10 × 9 × 8 × 7 × 6 × 5

permutation of cbqgvlbbgc = 30240

Therefore by permutation, we derived 30240ways 10-letter words can be arranged from the letters cbqgvlbbgc.

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Answer:

Step-by-step explanation:

hope this helps

The possible solutions are 8 hours and 9 hours.

The number of hours for lifeguarding is 8 hours.

The number of hours for clearing tables is 9 hours.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

Two summer jobs:

Lifeguarding.

x = number of hours

= $19 per hour

Cleaning tables.

y = number of hours

=$14 per hour

Total hours in a week = 17 hours

Minimum earning = $280

The inequality represents the above situation.

x + y ≥ 17

19x + 14y ≥ 280

Solving for x and y.

x + y = 17 _____(1)

x = 17 - y

19x + 14y = 280 ______(2)

Putting (1) in (2) we get,

19(17 - y) + 14y = 280

323 - 19y + 14y = 280

323 - 5y = 280

323 - 280 = 5y

43 = 5y

y = 43/5

y = 8.6

y = 9

Now,

x = 17 - y

x = 17 - 8.6

x = 8.4

x = 8

Thus,

The possible solutions are 8 hours and 9 hours.

The number of hours for lifeguarding is 8 hours.

The number of hours for clearing tables is 9 hours.

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The player ran 60 yards on the football field

A football field measures a length of 100 yards, using subtraction the required dimensions are calculated

The player started form 20 yards line to 20 yard of the other end of the field

The player did not ran the initial 20 yards and the finial 20 yards

this added to give 40 yards

Length covered by the player

100 yards - 40 yards =  60 yards

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Answer:

48

Step-by-step explanation:

1/3+(1/2*2/3)+(1/4*1/3)=3/4

1-3/4=1/4

So 12 book were 1/4 of the shipment.

So 48 book sis total.

By using trignometry we got the side p as 6.67

Use the cosine rule of trignometry to find side p

p² = r² + q² - 2rqcosP

To find the angle of p we will simply subtract angle R and angle Q from 180.

180 - 47.28 - 40 = 92.72

p² = 8² + 7² + 2(8)(7)cos(92.72)

p² = 107.685

p = √107.685

p = 10.38

Let's suppose that the shortest distance of R from PQ is .

look at the diagram I gave

since the line I made makes a right angled triangle, we can use SOH CAH TOA

for the angle 40,  is opposite and 10.38 is hypotenuse

which means we will have to use SOH

sin40 = O/H

sin40 =x /10.38

0.6428 = x/10.38

0.6428 × 10.38 = x

x = 6.67

Hence, by using trignometry we got the side p as 6.67

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Disclaimer,

The given question is incomplete, the answer is done based upon a similar question. The question is given in the image attached.

The radius of the tire is 1.17 yards.

According to the question,

We have the following information:

A tire could roll 200 yards in 27.28 revolutions.

We know that the tire is in the shape of a circle.

We also that the following formula is used to find the circumference of the circle:

2πr where r is the radius of the circle

Now, we have the following expression:

2πr*27.28 = 200

54.56πr = 200

r = 200/54.56π

r = 200/54.56*3.14

r = 200/171.32

r = 1.17 yards

(The unit of the radius will remain same as that of the distance given.)

Hence, the radius of the tire is 1.17 yards.

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Answer:

279

Step-by-step explanation:

Answer: Possible Answers:

x2+x−12=0

x2−x−12=0

x2+3x−4=0

2x2+2x−6=0

x2−4x−3=0

Step-by-step explanation: youer welcome

A person race walking a distance of 20 kilometers in 100 minutes is more faster with a speed of 0.2 kilometer per minutes.

Mathematically, the speed of a physical object or body can be calculated by using this formula;

Speed = distance/time

Next, we would convert the unit of distance covered by the bird in miles to kilometers as follows:

1 mile = 1.60934 kilometer.

10,000 miles = X kilometer.

Cross-multiplying, we have:

X kilometer = 10,000 miles × 1.60934 kilometer.

X kilometer = 16,093.4 kilometer.

Also, we would convert the unit of time in days to minutes as follows:

1 day = 1,440 minutes

75 days = X minutes

Cross-multiplying, we have:

X minutes = 75 days × 1,440

X minutes = 108,000 minutes.

Now, we can calculate the speed of this bird as follows:

Speed = 16,093.4/108,000

Speed = 0.1490 kilometer per minutes.

For the speed of the person, we have:

Speed = 20/100

Speed = 0.2 kilometer per minutes.

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The term is tn=-3n+11

From the question, we have

The sequence is 8, 5, 2, –1, –4, ...

d = 5-8 = -3

t1 = 8

tn = t1+(n-1)d

tn=8+(n-1)(-3)

tn=8-3n+3

tn=-3n+11

Addition:

The phrase "the addition" refers to combining two or more numbers. Adding two numbers is indicated by the plus sign (+), therefore adding three is written as three plus three. Additionally, the number of times the plus symbol (+) is used is up to you. For example, 3 + 3 + 3 + 3. Mathematical addition is a crucial component of the learning curriculum for kids. In primary school, students learn simple addition sums such as one-digit facts,

Math addition sums, and double-digit Math addition sums. One of the most fundamental and interesting

Math concepts for elementary school children is addition sums. Math is a fascinating subject, and children first learn basic mathematical concepts like adding numbers in their early years.

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f(2) = -4

Step-by-step explanation:

f(2) = 3^2-13

f(2) = 9-13

f(2) = -4

The average speed of the truck is 50 m/s .

We know that the average speed of any vehicle is calculated by total distance divide by total time.

Now the truck travels at 50 m/s for 30 seconds.

Distance covered in 30 seconds = 50 × 30 = 1500 meters

Time taken = 30 seconds

average speed = 1500 / 30 = 50 m/s

The average speed now accounts for the majority of the distance travelled. Average speed is essentially a method for calculating distance and the rate of transit time.

Knowing the average speed is crucial because it is clear that the pace will vary throughout the voyage. The average speed of a vehicle or an object can be determined using a variety of methods.

That is the most popular and simple way for figuring your average speed. It functions best when the object's speed remains constant throughout the journey, never rising or falling.

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Answer: AAS

Step-by-step explanation:

Because of the pair of vertical angles, there are two pairs of congruent angles and one pair of congruent sides. This means the triangles are congruent by AAS.

Answer:

Step-by-step explanation:

1. Ok. Probability is something out of all. Add to get the bottom base of the probability.

3+4+5= 12

2. Probability is something out of something so 3 navel oranges can be represented out of 12 oranges.

3 out of 12

3. Make as fraction:

3 out of 12=

3/12=

1/4 or 25 Percent!

Answer: 1/4 or 25% ( If wanted as Percent)

Answer:

1/4

Step-by-step explanation:

Number of navel oranges = 3.

Number of mandarin oranges = 5.

Number of Valencia oranges = 4.

Let N be an event that Diana selects navel orange.

The total number of oranges Diana has:

n(T)=3+5+4=12n(T)=3+5+4=12

Number of navel Oranges is:

n(N)=3n(N)=3

The probability that Diana selects a navel orange is:

P(N)=n(N)n(T)=312=14P(N)=n(N)n(T)=312=14

Hence, the probability that Diana selects a navel orange is 1414.