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3 years ago

How do I graph this slope?

Mathematics

1 answer:

maria [59]3 years ago

5 0

You can use the equation rise over Run you go up 4 and over 6 and you go down 2 and over 8 (im not sure if this helps)

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Solve the equation by completing the square x^2-3x-18=0

Alexandra [31]

Answer:

x = -3, 6

Step-by-step explanation:

First, add 18 to both sides

x² - 3x - 18 = 0

+ 18 + 18

x² - 3x = 18

Add 9/4 to both sides because that is the square of half of -3

x² - 3x + 9/4 = 18 + 9/4

Multiply both sides by 4 to get rid of the fractions

(x² - 3x + 9/4 = 18 + 9/4)4

4x² - 12x + 9 = 72 + 9 = 81

Factor the left side of the equation

(2x - 3)² = 81

√(2x - 3)² = √81

Because of the square root, this will result in a positive number and a negative number

2x - 3 = 9

2x - 3 = -9

For both equations, add 3 to both sides then divide by 2

2x - 3 = 9

+ 3 +3

2x = 12

2x/2 = 12/2

x = 6

2x - 3 = -9

+ 3 + 3

2x = -6

x = -3

4 0

2 years ago

PROBLEM SOLVING You are participating in an orienteering competition. The diagram shows the position of a river that cuts throug

Wewaii [24]

Answer:

The shortest distance is 2.2 miles

Step-by-step explanation:

we know that

The shortest distance you must travel to reach the river is the perpendicular distance to the river

step 1

Find the slope of the line perpendicular to the river

we have

$y=3x+2$

The slope of the river is m=3

Remember that if two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is -1)

therefore

The slope of the line perpendicular to the river is

$m=-1/3$

step 2

Find the equation of the line into point slope form

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

we have

$m=-1/3$

$point(2,1)$

substitute

$y-1=-(1/3)(x-2)$

step 3

Find the intersection point of the river and the line perpendicular to the river

we have

$y=3x+2$ ------> equation A

$y-1=-(1/3)(x-2)$ -----> equation B

Solve the system by graphing

The intersection point is (-0.1,1,7)

see the attached figure

step 3

Find the distance between the points (2,1) and (-0,1,1.7)

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

substitute

$d=\sqrt{(1.7-1)^{2}+(-0.1-2)^{2}}$

$d=\sqrt{(0.7)^{2}+(-2.1)^{2}}$

$d=2.2\ miles$

6 0

3 years ago

Need help her pleased can someone tell me if I did this right please

miv72 [106K]

Yes you did it correct

6 0

3 years ago

What is the 15th term of the sequence A(n) = 50 - 3(n-1) ?

Alexus [3.1K]

Answer:

$A(15)=8$

Step-by-step explanation:

Given that,

$A(n)=50 - 3(n-1)$

We need to find the 15th term of the sequence. Put n = 15 in the above sequence so that,

$A(15)=50 - 3(15-1)\\\\A(15)=50-3(14)\\\\A(15)=50-42\\\\A(15)=8$

So, the 15th term of the sequence is 8.

7 0

3 years ago

According to the Pew Research Center, the proportion of the American population who use only a cellular telephone (no landline)

Mila [183]

Answer:

Answer =b. Since the p-value > α, do not reject the null hypothesis.

Step-by-step explanation:

The null hypothesis is to be rejected if the p- value is less than the given significant level. In this case, the p-value is 0.418 and level of significance α=0.05; the p-value is greater than level of significance therefore we do not reject the null hypothesis.

7 0

3 years ago