What fraction added to 3/8 gives you the sum of 1

Answers

Answer 1

Answer:

5/8 is the fraction that if added to 3/8 gives you the sum of 1 whole

Answer:

The equation of the line that is tangent to the circle at (8, -2) is:

$x=8$

Step-by-step explanation:

We know that the line which is tangent at a point on a circle is perpendicular to the line joining the center of the circle and that point.

Here we are given the equation of a circle as:

$(x-3)^2+(y+2)^2=25$

The center of the circle is at: (3,-2)

( Since, the standard form of a circle with center at (h,k) and radius r is given by:

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

Also, the equation of a line joining (3.-2) and (8,-2) is given by:

$y-(-2)=(-2-(-2))/(8-3)* (x-3)\n\ni.e.\n\ny+2=(-2+2)/(5)* (x-3)\n\ni.e.\n\ny+2=(0)/(5)* (x-3)\n\ni.e.\ y+2=0\n\ni.e.\ y=-2$

Also, we know that the slope of this line is zero.

Also, we know that if two lines are perpendicular with slope m and m' respectively then,

$m\cdot m'=-1\n\ni.e.\n\nm'=(-1)/(m)$

Hence, we get that the slope of the tangent line is:

$(-1)/(0)$

Also, we know that:

The equation of a line with given slope m' and a passing through point (a,b) is given by:

$y-b=m'(x-a)$

Here (a,b)=(8,-2)

and $m'=(-1)/(0)$

i.e. the equation of the tangent line is:

$y-(-2)=(-1)/(0)(x-8)\n\ni.e.\n\ny+2* 0=-1(x-8)\n\ni.e.\n\n-1* (x-8)=0\n\ni.e.\n\n(x-8)=0\n\ni.e.\n\nx=8$

Hello,

O=(3,-2) is the center of the circle and 5 its radius.

P=(8,-2)
The line OP is parallele to ox axis so then tangent is parallele to oy axis
Its equation is x=8.

After plotting the data where x equals the length of the side of a polygon, and f(x) represents the area of the polygon, Jack used technology and determined the appropriate model to approximate the area of the polygon, f(x) = x2 + 2x + 3. Use the model Jack created to predict the area of a polygon that has a side length of 3.10
18
19
20

Answers

The area of polygon is 18 sq. units.

What is polygon?

In geometry, a polygon is any closed curve made up of a collection of continuous line segments, without any intersections. Triangles (three sides), quadrilaterals (four sides), and pentagons.

Given that jack has a model f(x) = x² + 2x +3

where f(x) is area of polygon and x shows length of side

area when length is 3

substitute value of x in equation

f(x) = x² + 2x +3

f(3) = 3² + 2ₓ3 + 3

f(3) = 9 + 6+ 3

f(3) = 18

Hence area of polygon according to given equation is 18 sq. units

Learn more about polygon

brainly.com/question/28276384

#SPJ5

We are given the model to approximate the are of the polygon to be
f(x) = x² + 2x + 3
where x is the length of the side
For a polygon with a side length of 3, x = 3
f(3) = 3² + 2(3) + 3
f(3) = 18
The area is 18

Please answer 2) multiple choice questions correctly I need it today please show work .

Answers

Answer:

Step-by-step explanation:

20. First find the values of the numbers being added.

$((3)/(4))^3 = (27)/(64)$

$((5)/(8) )^2 = (25)/(64)$

These numbers have a common denominator, so you can add the numerators

27 + 25 = 52

so the number comes out to $(52)/(64)$

to simplify, divide the numerator and denominator by 4.

So the final fraction becomes $(13)/(16)$

However the question doesn't have this answer and now I am confused. I assumed that the expression was $r^(3)+s^(2)$ but the picture is a little bit blurry and I have bad eyesight so let me know if it is not. I'm too tired to delete this so next problem.

21.

4x + 8x + 7 + 4

Combine the like terms to get the expression

12x + 11 the answer is c.

consider the gre scores for a random sample of 6 students out of a class of 25: name julia andrew jason cathy jessica robert score 650 550 380 720 710 550 what is the point estimate for the mean score for students in the class?

Answers

Name Score
Julia 650
Andrew 550
Jason 380
Cathy 720
Jessica 710
Robert 550

Point estimate for the mean score:
Sample mean = sum of all observations / number of observations

sample mean = (650+550+380+720+710+550) / 6
sample mean = 3560 / 6
sample mean = 593.33

The point estimate for the mean score is 593.33

How do u work out 11x=24+8x

Answers

Answer:

x = 8

Step-by-step explanation:

First: Subtract 8x from both sides

You will be left with 3x = 24

then divide 3 from both sodes

you will be left with x=8

Carl runs 3 miles in 24 minutes. How far would Carl run in 40 minutes?

What fraction added to 3/8 gives you the sum of 1

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What is polygon?

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