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3 years ago

Find the y value for point F such that DF and EF form a 1:3 ratio. E(2,4) D(-3,-3)

Mathematics

2 answers:

Mice21 [21]3 years ago

8 0

I drew the segment and used Pythagorean theorem to solve for its measure. The line formed is the hypotenuse of the imaginary right triangle.

Among the choices only -1.33 and -1.25 is a feasible choice. But I am leaning towards -1.25 as the y-value of point F based on my diagram. Please see attachment

irinina [24]3 years ago

3 0

The exact answer is -1.25

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Write the equation of the circle centered at (-4,6) with a diameter of 16

steposvetlana [31]

<span>Center:(-4,6)
The center of a circle is a point from which all points on a circle are the same distance.Radius:8
The radius of a circle is the length of a line segment from its center to its perimeter.
The radius is typically denoted as "r" or "R".Diameter:16
The diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle. It can also be defined as the longest chord of the circle.Circumference or (or Permieter) = 2*π*R = 2*3.14*8 = 50.2654824574367
The circumference of a circle is the distance around it.Area:201.061929829747
Area of a Circle is the amount of space occupied by the circle.The area of a circle is p times the radius squared, which is written: A = π*R2.</span>EquationStandard Form

The standard form for the equation oif a circle is
(x-a)2+(y-b)2=r2
And in our particular case:
(x--4)2+(y-6)2=82
(x+4)2+(y-6)2=82
(x+4)2+(y-6)2=64

General Form

The general form for the equation of a circle is
x2 + y2 + Ax + By + c = 0
We can get the general form by expanding the equation of the standard form
(x-a)2+(y-b)2=r2
(x--4)2+(y-6)2=82
(x+4)2+(y-6)2=64
x2+8x+16+y2-12y+36=64
x2+y2+8x-12y-12=0

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3 years ago

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otez555 [7]

The ratio is 3:2, hope it helps

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3 years ago

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The given information were that Robi has run the first 4 miles of a race in 30 minutes and she reached the 6 mile point after 45

strojnjashka [21]

Answer:

Positive

Step-by-step explanation:

Slope: (6-4)/(45-30)

= 2/15

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3 years ago

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Rashid [163]

Slope is -1 and y intercept is 8

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3 years ago

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given that oa=2x+9y ob=4x+8y and cd= 4x-2y, explain the geometrical relationships between the straight lines ab and cd mathswatc

tangare [24]

The geometrical relationships between the straight lines ab and cd

is the straight line ab is parallel to the straight line cd

Step-by-step explanation:

Let us revise some notes:

If a line is drawn from the origin and passes through point A (a , b), then the equation of OA = ax + by
If a line is drawn from the origin and passes through point B (c , d), then the equation of OB = cx + dy
To find the equation of AB subtract OB from OA, then AB = (c - a)x + (d - b)y
The slope of line AB = $\frac{-coefficient(x)}{coefficient(y)}$

∵ oa = 2 x + 9 y

∵ ob = 4 x + 8 y

∵ ab = OB - OA

∴ ab = (4 x + 8 y) - (2 x + 9 y)

∴ ab = 4 x + 8 y - 2 x - 9 y

- Add like terms

∴ ab = (4 x - 2 x) + (8 y - 9 y)

∴ ab = 2 x + -y

∴ ab = 2 x - y

∵ The slope of ab = $\frac{-coefficient(x)}{coefficient(y)}$

∵ Coefficient of x = 2

∵ Coefficient of y = -1

∴ The slope of ab = $\frac{-2}{-1}=2$

∵ cd = 4 x - 2 y

∵ Coefficient of x = 4

∵ Coefficient of y = -2

∴ The slope of cd = $\frac{-4}{-2}=2$

∵ Parallel lines have same slopes

∵ Slope of ab = slope of cd

∴ ab // cd

The geometrical relationships between the straight lines ab and cd

is the straight line ab is parallel to the straight line cd

Learn more;

You can learn more about the parallel lines in brainly.com/question/10483199

#LearnwithBrainly

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3 years ago