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Answer:

The coordinates of the point X:

Step-by-step explanation:

Let X be the point.

As the point X is in the directed line segment from (-2,-8) to (5,-1) into the ratio of 1 to 6

i.e.

[tex]\left(x_1,\:y_1\right)\:=\:\left(-2,-8\right)[/tex]

[tex]\left(x_2,\:y_2\right)=\left(5,-1\right)[/tex]

Rise = y₂ - y₁

       [tex]= -1 - (-8)[/tex]

       [tex]= -1 + 8[/tex]

       [tex]= 7[/tex]

Run = x₂ - x₁

      [tex]= 5 - (-2)[/tex]

      [tex]= 5 + 2[/tex]

      [tex]= 7[/tex]

1 : 6 ratio means the point X lies at

[tex]\frac{1}{6+1}=\frac{1}{7}=14\%[/tex]

Thus,

rise for X [tex]=\:7\:\times \:14\%=1[/tex]

run for X [tex]=\:7\:\times \:14\%=1[/tex]

Thus, coordinates of X will be:

[tex]x = -2 + 1 = -1[/tex]

[tex]y = -8 + 1 = -7[/tex]

Therefore, we conclude that:

The coordinates of the point X:

The point (-1, -7) divide the segment from (-2,-8) to (5,-1). in the ratio 1:6.

If a point O(x, y) divides the line segment AB in the ratio of n:m, where the endpoints of the line is A(x₁, y₁) and B(x₂. y₂), the point O is at:

[tex]x=\frac{n}{n+m}(x_2-x_1)+x_1 \\\\y=\frac{n}{n+m}(y_2-y_1)+y_1[/tex]

Given the ratio 1:6, let O(x, y) divide the segment from (-2,-8) to (5,-1). Hence:

[tex]x=\frac{1}{1+6}(5-(-2))+(-2)=-1\\\\y=\frac{1}{1+6}(-1-(-8))+(-8)=-7[/tex]

O = (-1, -7)

The point (-1, -7) divide the segment from (-2,-8) to (5,-1) in the ratio 1:6.

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Answer:

$327.00 (total interest)

Step-by-step explanation:

This is simple interest

Converting R percent to r a decimal

r = R/100 = 3%/100 = 0.03 per year.

A = 300[1 + (0.03 × 3)] = 327

A = $327.00

Answer: 27.82

Step-by-step explanation: Based on Principal Amount of $300, at an interest rate of 3%, over 3 year(s):

Answer:

5

Step-by-step explanation:

Answer:

y = -1/3x + 2

Step-by-step explanation:

1x + 3y = 6

3y = -x + 6

y = -1/3x + 2

Answer:

[tex]y=-\frac{x}{3}+2[/tex]

Step-by-step explanation:

1x + 3y = 6

We want the y to be isolated, so we subtract x from both sides,

3y = 6 - x

Now we divide everything by 3, to isolate y

[tex]y=-\frac{x}{3}+2[/tex]

Answer:

it's a linear problem

Step-by-step explanation:

0=1

1=2

2=3

3=4

4=5

5=6

6=7

7=8

8=9

9=10

Answer:

B. 10

Step-by-step explanation:

2 x 3 x 5 = 60

2 + 3 + 5 = 10

Hope that helps!

Answer:

it would be a 25% increase.

Step-by-step explanation:

15-12 / 12 * 100 =

3/12 * 100 = 25

Answer:

(-2, 0)

Step-by-step explanation:

the y-intercept is (-2, 0), therefore that the solution.

Answer:

a + b = 93.8

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hope it help u

Answer:

the answer mia 14days

Step-by-step explanation:

56divided by 4 equals 14

Answer:

7.2units

Step-by-step explanation:

Answer:

the second : the angles are congruent and the side lengths are proportional

Answer:

14

Step-by-step explanation:

[tex]147 \times 4 \div 42 = 14[/tex]

It would take 14 days  to build a similar house with 42 workers

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We are given that  the number of days required to build is inversely proportional to with the number of workers.

One house was built in 147 days by 4 workers.

So,

147 x 4 = 588

Now the days to build a similar house with 42 workers

588/ 42 = 14

Learn more about multiplications;

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Answer:

the second one

Step-by-step explanation:

first one is divide

third one is well add

last is add aswell

Answer:

75.78

Step-by-step explanation:

8.42*9=75.78

Answer:

75.78

Step-by-step explanation:

8.42 × 9 =  75.78

Answer: Vertical lines have no y-intercept and the x-intercept is the number given by the ...

Step-by-step explanation:

Answer:

a9= 59049

Step-by-step explanation:

Find the r.

R= 81/-27

R= -3

a1= 9

a2= -27

a3= 81

a4= 81*-3= -243

a5= -243*-3= 729

a6= 729*-3= -2187

a7= -2187*-3= 6561

a8= 6561*-3= -19683

a9= -19683*-3= 59049

Answer:

i dont see a number line, attach a pic pls

Step-by-step explanation:

Answer:

y-9 = 8

Step-by-step explanation:

Answer:

C: peasants were dependent on the lord and his land.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

i did it already.

Answer:

6 months

Step-by-step explanation:

12x = 87

12x ÷ 12 = x

87 - 15 = 72

72 ÷ 12 = 6

x = 6 months

CHECK:

12 x 6 = 72 + 15 = 87

87 = 87

Answer:

6 months

Step-by-step explanation:

The equation would be: 15 + 12m = 87

Answer:

b = 12

Step-by-step explanation:

Using the Pythagorean Theorem:

a² + b² = c²

You can identify that 12√12 is the hypotenuse, as it is opposite to the right angle.

So:

12² + b² = (12√2)²

144 + b² = [(12√2) (12√2)]

144 + b² = (12 × √2 × 12 × √2)

144 + b² = (144 × 2)

144 + b² = 288

b² = 144

√b² = √144

b = 12

Answer:

- 8 / 3

Step-by-step explanation:

-3x= - 1 + 9

-3x = 8

x= - 8/3