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garri49 [273]
3 years ago
14

PLZ ANSWER IF YOU KNOW I NEED HELP

Mathematics
1 answer:
photoshop1234 [79]3 years ago
5 0

Answer:

j = 6

Step-by-step explanation:

1. What one needs to know

-Slope-intercept form

The formula of a line in slope-intercept form is;

y = mx + b

Where "m" is the slope. and "b" is the y-intercept.

2. Approach

The slope of the line is given. One has to solve for the y-intercept. Since a point on the line is given, one simply has to substitute in the point on the line and solve for b. The one substitutes in the other point with the unknown in it. One will then solve to find the unknown.

3. Finding "b"

It is given that this line has a slope of \frac{1}{5}, therefore, the equation of the line with the slope would look something like this;

y = \frac{1}{5}x  + b

It is given that (-4, -8) is on the line, substitute this point in;

-8 = \frac{1}{5}(-4) + b

Solve;

-8 = \frac{1}{5}(-4) + b

-8 = - 0.8 + b

-7.2 = b

The complete formula of this line is;

y = 0.2(x) - 7.2

( in decimals )

4. Solve of "j"

Point (j, -6) is on this line, substitute it into the formula

y = 0.2(x) - 7.2

-6 = 0.2(j) - 7.2

Inverse operations;

-6 = 0.2(j) - 7.2

+7.2          +7.2

1.2 = 0.2(j)

/0.2   /0.2

6 = j

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Simplify the expression (r^2*s)^5 <br> A. r^7*s^5<br> B. r^7*s^6<br> C. r^10*s^6<br> D. r^10*s^5
Snowcat [4.5K]

Answer:

D. r^10*s^5

Step-by-step explanation:

(r^2*s)^5  \\  \\  =  {r}^{2 \times 5} \ast {s}^{5}   \\  \\  =  {r}^{10} \ast {s}^{5}

5 0
3 years ago
Suppose a circle with center (14, 9) passes through point (16, 12). Which equation represents the circle?
kumpel [21]

Answer:

The equation that represents the circle is (x-14)^{2} + (y-9)^{2} = 13

Step-by-step explanation:

Given the center of circle (14,9) passes through point (16,12)

We know that the equation of circle is

(x-h)^{2} + (y-k)^{2} = r^{2}

where (x,y) is any point on the circle, (h,k) is center of the circle and r is radius of circle.

From given data (x,y) is (16,12) and (h,k) is (14,9). Substituting these values in equation of circle, we get

(16-14)^{2} + (12-9)^{2} = r^{2}

r^{2} = 2^{2} + 3^{2}

r^{2} = 13

Substituting the values of (h,K) and  r^{2} as (14,9) and 13 respectively in equation of circle, we get

(x-14)^{2} + (y-9)^{2} = 13

Hence the equation that represents the circle is (x-14)^{2} + (y-9)^{2} = 13

7 0
3 years ago
Mei runs 91.08 miles in 3 weeks. If she runs 6 days each week, what is the average distance she runs each day?
egoroff_w [7]
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Help with homework! Basic area question.
FromTheMoon [43]

Answer:

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Step-by-step explanation:

IF THE "SHADED AREA" MEANS THE CIRCLE, THEN THIS IS THE ANSWER! Whenever you need to find the area of a circle, you always have to multiply pi by the second power of your radius. The radius is just have of the diamater of the circle, which--in this case--is 18. So the radius of this circle would be 9 and the problem would be: A = pi x 9 to the second power. Although since your teacher said that pi was not in fact 3.14159 etc, and instead 3.142, you have to multiply 3.142 times the second power of 9, and you get 254.502. Hope this helped!

6 0
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