Mathskey.com - Recent questions and answers in GEOMETRY

Answered: The coordinates of point Y are giving. The midpoint XY is (3,-5). Find the coordinates of point X.

Thu, 28 Jul 2022 18:10:43 +0000

Given: \\ The coordinates of y is (4,-8). The midpoint of a line segment xy is (3, - 5) \\ Let the coordinates of x be (p,q) \\ Now, by the midpoint formula, we have: \\ ((p + 4)/2 , (q - 8)/2) = (3, -5) ....(1) \\ Comparing both sides of eq.(1), we have: \\ (p + 4)/2 = 3 \\ => p + 4 = 6 \\ => p = 6 - 4 \\ => p = 2 \\ And: \\ (q - 8)/2 = -5 \\ => q - 8 = -10 \\ => q = - 10 + 2 \\ => p = - 2 \\ Hence, the coordinates of x is (2, -2)

(0,2) (4,-1) (-2,-1) find perimeter

Fri, 16 Oct 2020 14:43:23 +0000

what is the slope of line PQ, P(-9,-4) Q(-7,-1)

Fri, 09 Oct 2020 04:07:06 +0000

If the circumference of a circle is 20 pi inches, than what is the diameter?

Tue, 02 Jun 2020 03:57:53 +0000

If circumference is 31.4 what is the area

Fri, 07 Feb 2020 10:50:20 +0000

Find the distance between two parallel lines having the following equations:y=3/8x+4 y=3/8x-5

Tue, 10 Dec 2019 12:18:40 +0000

EG=FH,GH=6,FG=24 Find EG.

Sat, 19 Oct 2019 03:47:36 +0000

EG=FH,GH=6,FG=24.

Sat, 19 Oct 2019 03:46:24 +0000

find the coordinates of the orthocenter of YAB that has vertices at Y(3,-2),A(3,5),and B(9,1) justify

Wed, 14 Aug 2019 19:13:26 +0000

find the coordinates of the orthocenter of YAB that has vertices at Y(3,-2),A(3,5),and B(9,1) Justify

Wed, 14 Aug 2019 19:07:13 +0000

Are the lines parallel, perpendicular, or neither? 2x + 6y = 6 4x + 12y = 0

Thu, 14 Feb 2019 02:02:33 +0000

the angles of triangle are in ratio 3:5:7

Wed, 16 Jan 2019 00:27:33 +0000

Answered: If x is the midpoint of -32 and 19, find x.

Wed, 07 Nov 2018 22:25:19 +0000

Let the mid point is x

Hence,

x = (-32 + 19) / 2

x = (-13)/2

x = -6.5

Answer :

The Mid Point is x = -6.5.

Answered: X-3y=15 and y=-3x+4 determine whether the lines are parallel, perpendicular, or neither

Fri, 26 Oct 2018 02:21:59 +0000

Formula : Slope of the equation ax + by = c is "-a/b"

The Equations are

x - 3y = 15 --------------> (1)

y = - 3x + 4 ========> 3x + y = 4 -----------> (2)

Slope of the Eq (1)

m1 = (-1)/(-3)

m1 = 1/3

Slope of the Equation (2)

m2 = -3/1

m2 = -3

Multiply both the slopes

m1 X m2 = (1/3) X (-3)

m1 X m2 = - 1

Hence, The two lines are perpendicular to each other.

Answer :

The two lines are perpendicular to each other.

Answered: Slope of a Line

Fri, 28 Sep 2018 21:00:12 +0000

Given points are (-6, 3) and (8, 8)

Let (x1, y1) = (-6, 3) and (x2, y2) = (8, 8)

Slope of a Line (m) = (y2 - y1) / (x2 - x1)

= (8 - 3) / (8 + 6)

= 5 / 14

Answer :

Slope of a Line is 5/14.

Answered: If line l has slope

Fri, 28 Sep 2018 20:56:10 +0000

Slope of the line l is m = 3/4

If two lines are parellel then slopes are equal

Hence, any line parallel to line l will have slope 3/4.

If two lines are perpendicular to each other then

m1 X m2 = -1

3/4 X m2 = -1

m2 = -1 (4/3)

m2 = -4/3.

Hence, any line perpendicular to line l will have slope -4/3.

Answer :

1) Any line parallel to line l will have slope 3/4.

2) Any line perpendicular to line l will have slope -4/3.

Answered: The area of a semicircle is 6.28 square miles. What is the semicircle's perimeter?

Tue, 27 Mar 2018 02:13:42 +0000

The area of a semicircle is 6.28 square miles.

The area of a semicircle is (pi/2)r^2

(pi/2)r^2 =6.28

r^2 =4

r =2 miles

Calculate semicircle's perimeter.

P =pi*r =2pi miles

Answered: Find the area of the figure that is blue. A) 116 cm2 B) 220 cm2 C) 276 cm2 D) 284 ft2

Mon, 26 Mar 2018 23:16:18 +0000

Draw the geometry diagram.

Calculate the area of the rectangle 1.

A_1 = 14*14 =196 cm^2

Calculate the area of the rectangle 2.

A_2 = 10*8 =80 cm^2

Calculate the area of the blue part.

A =A_1 - A_2

=196-80

=116 cm^2

Part A is correct.

Answered: x(2x-3)=44

Mon, 26 Mar 2018 16:51:45 +0000

Let width of the rectangle is x.

Length of the rectangle is 2x-3.

Find the area of the rectangle.

A=44

x(2x-3) =44

2x^2-3x-44=0

2x^2+8x-11x-44=0

2x(x+4)-11(x+4)=0

(x+4)(2x-11) =0

2x-11=0

x =(11/2) m

The area of a semicircle is 6.28 square miles. What is the semicircle's perimeter?

Fri, 16 Feb 2018 11:01:24 +0000

Find the center of the circle that you can circumscribe about ΔΔEFG, when E(2, 6), F(2, 2), and G(8, 2).

Tue, 09 Jan 2018 09:12:49 +0000

Find the center of the circle that you can circumscribe about ΔΔEFG, when E(2, 6), F(2, 2), and G(8, 2).

	(5, 4)
	(4, 3)
	(4, 4)
	(4, 5)

Answered: Find the slope and y‐intercept.

Thu, 04 Jan 2018 04:56:40 +0000

The equation

3y – 9x – 12 = 0

Write the above equation in the form of y = mx /= c

Wher "m" is slope and "c" is y -intercept

3y = 9x + 12

y = (9x + 12) / 3

y = (9x)/3 + (12) / 3

y = 3x + 4

Compare above equation with y = mx + c

The slope m = 3

And the y - intercept c = 4.

Answered: Find the slope and y‐intercept.

Thu, 04 Jan 2018 04:52:40 +0000

The equation

12y – 8x = – 84

Write the above equation in the form of y = mx /= c

Wher "m" is slope and "c" is y -intercept

12y = – 84 + 8x

y = (8x - 84) / 12

y = 8x/12 - 84/12

y = (2/3)x - 7

Compare above equation with y = mx + c

The slope m = 2/3

And the y - intercept c = - 7.

Slope of a Line

Wed, 03 Jan 2018 10:43:58 +0000

Points with coordinates (–9, 10) and (8, –2) lie on line l.

Midpoint Formula

Wed, 03 Jan 2018 10:41:51 +0000

Line segment l's endpoints are at (3, 5) and (11, 19).

Rectangular Coordinate System

Wed, 03 Jan 2018 10:39:14 +0000

In which quadrant is the point with coordinates (–3, –21)?

Answered: Find the x intercept of the graph of the equation .

Fri, 29 Dec 2017 13:54:18 +0000

The equation is

2x - 4y = 9

On the x - axis the value of y is zero

Therefore, substitute y = 0 in above equation

2x - 4(0) = 9

2x - 0 = 9

2x = 9

x = 9/2

x - intercept is 9/2.

Answered: Find the slope of the line passing through the points

Fri, 29 Dec 2017 13:44:32 +0000

Slope of a line passing through two points (x1, y1) and (x2, y2)

m = (y2 - y1) / (x2 - x1)

Subsitute (x1, y1) = (-1, -1) and (x2, y2) = (2 , 2) in above equation

m = [ 2 - (-1) ] / [ 2 - (-1) ]

m = [ 2 + 1 ] / [ 2 + 1 ]

m = 3 / 3

m = 1

The Slope of a line is m = 1.

Answered: What is the distance between the two farthest corners?

Sun, 24 Dec 2017 16:33:16 +0000

The distance between two farthest corners of a rectangle is a diagonal.

(diagonal )^2 = 16^2 + 24^2

(diagonal )^2 = 256 + 576

(diagonal )^2 = 832

Apply sqareroot to each side

diagonal = 28.84 ft

Hence,

The distance between two farthest corners is 28.84 ft.

Answered: Write the point-slope form of the line's equation satisfying the given conditions.

Fri, 22 Dec 2017 13:41:35 +0000

The point slope form of line equation :

y - y1 = m (x - x1)

Substitute the point (x1, y1) = (5, 7) and the slope m = 4 in above equation.

y - 7 = 4(x - 5)

y - 7 = 4x - 20

4x - 20 - y + 7 = 0

4x - y - 13 = 0

4x - y = 13

Answered: find the y-intercept.

Fri, 22 Dec 2017 13:35:32 +0000

Slope intercept form y = mx + c

Where "c" is the y - intercept

Substitute (x, y) = (7, -9) and slope m = -5 in above equation

- 9 = (-5)(7) + c

-9 = -35 + c

- 9 + 35 = c

26 = c

Hence, The y - intercept is 26.

Answered: The coordinates of the midpoint of GH are M(8, 0) and the coordinates of one endpoint are H(−2, 9)

Mon, 18 Dec 2017 09:53:29 +0000

Midpoint:

Write the formula for midpoint of the A(x_1,y_1) and B(x_2,y_2).

[(x_1+x_2)/2,(y_1+y_2)/2]

G(x,y), H(-2,9)

(8,0) =[(x+(-2))/2,(y+9)/2]

(x+(-2))/2 =8

(x+(-2))=16

x-2 =16

x =18

(y+9)/2=0

y+9=0

y=-9

The point G is G(18,-9)

Answered: Find x so that GJ is parallel to FK if GF=12, HG=6, HJ=8, and JK=x-4.

Mon, 18 Dec 2017 09:00:40 +0000

Draw the triangle.

Using similar triangles rule,

From the similar triangles FHK and GHJ

HF/HK = HG/HJ

(12+6)/(8+x-4) =6/8

18/(x+4)=6/8

6(x+4) =(18)(8)

(x+4) =(18)(8)/6

x+4 =(3)(8)

x+4=24

x = 20

Answered: What is the orthocenter of (-4,6) (2,6) (-4,-2)?

Tue, 12 Dec 2017 16:28:51 +0000

Given coordinates are: A(−4, −6), B(2,6) and C(−4, −2)

Write the slope formula

m = (y2−y1)/(x2−x1)

Slope of BC =[(−2)−(6)]/[−4−2] = −8/−6=4/3

Perpendicular Slope of BC = −1/(4/3)= −3/4

Slope of AC = [(2) − (−6)]/[−4−(−4)] = 8/0

Perpendicular Slope of AC = 0

Equation of AD, slope(m) = −3/4 and point A = (−4, −6)

y − y1 = m(x − x1)

y − (−6) = (−3/4)(x− (−4))

4y + 24 = −3x − 12

3x + 4y = −36 ---------------- (1)

Equation of BE, slope(m) = 0 and point B = (2, 6)

y − 6 = 0(x−2)

y=6

Substitute 6 for y in equation (1).

3x + 4y = −36

3x + 4(6) = −36

3x = −60

x=−20

The solution is (x, y) = (−20,6)

Answered: find the equation of a circle with a center point of P

Mon, 23 Oct 2017 08:05:57 +0000

Write the equation of circle.

(x-h)²+(y-k)²=r²

Here, (h, k) is the center and r is the radius.

Substitute (2 , 3) for (h, k) and 8 units for r.

(x-2)²+(y-3)²=8²

(x²-4x+4)+(y²-6y+36)=0

x²+y²-4x-6y+40=0

Answered: find the slope line PQ.

Tue, 17 Oct 2017 20:47:18 +0000

P(2,3) and Q(-6,7)

Calculate the slope.

m =(y₂-y₁)/(x₂-x₁)

=(7-3)/(-6-2)

=4/-8

=-1/2

Answered: Convert L to standard form

Tue, 17 Oct 2017 20:46:20 +0000

P(2,3) and Q(-6,7)

Calculate the slope.

m =(y₂-y₁)/(x₂-x₁)

=(7-3)/(-6-2)

=4/-8

=-1/2

Calculate equation of the PQ.

y-y₁=m(x-x₁)

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

2y-6 =-x+2

x+2y-8=0

Equation of the line is x+2y-8=0

Answered: Find the mid point of the segment PQ

Mon, 16 Oct 2017 17:24:00 +0000

Calculate the midpoint of the segment PQ.

C = ((x_1+x_2)/2,(y_1+y_2)/2)

=((2-6)/2,(3+7)/2)

=((-4)/2,(10)/2)

=(-2,5)

Answered: How to find angles, with explanation please

Thu, 12 Oct 2017 16:36:58 +0000

If a straight line meets another straight line, the sum of the two adjacent angles so formed is equal to two right angles.

b = 25^O

Angle on straight line is 180^O.

a + b =180

a + 25=180

a = 155^O

Angle on straight line is 180^O.

90 + c + 25 =180

c + 115 =180

c= 65^O

Answered: AD bar is a diameter of F. Find the following arc measures:

Thu, 12 Oct 2017 15:35:55 +0000

Calculate the arc angles using geometry.

m cap BC = 90^O

m cap CD = 45^O

m cap AD = 180^O(Since straight line angle)

m cap AB =180-90-45= 45^O

m cap AC =90+45= 135^O

m cap AEC =180+45= 2255^O

Answered: What is the measure of angle B in degrees?

Wed, 11 Oct 2017 16:40:10 +0000

Calculate the angle x.

Angle on straight line is 180^o.

132^o+x=180^o

x=180^o-132^o

=48^o

Sum of the angles in triangle is 180^o.

x+y+40 = 180^o

48+y+40 = 180^o

48+y =180

y=180-48

=92^o

Answered: If cos(90)=0 find sin(45)

Fri, 26 May 2017 14:42:48 +0000

The trigonometric equation is

Find

Rewrite the function is

Half angle trigonometric property :

Substitute and

Answered: If cos theta=-4/5 for theta in quadrant II, find sin theta/2

Fri, 26 May 2017 14:10:40 +0000

The trigonometric identity is

in second quadrant.

Consider right angle triangle,

Find

Trigonometric half angle property :

Substitute above values in trigonometric half angle property.

The value of

Answered: Find the area surface of a prism with dimensions of 8in, 15 in, 17in and 9in (height)

Wed, 24 May 2017 16:00:29 +0000

The prism dimensions are

Find the area surface of prism.

The formula for area surface of prism is

Substitute

The area surface of prism is

Answered: Which equation represents a line that is parallel to the line 2y-10=x?

Fri, 28 Apr 2017 13:36:21 +0000

The line equation is

Rewrite the line equation is

The parallel line equation is

Answered: through (-2,-7), parallel to y=-5x+4

Thu, 06 Apr 2017 14:58:04 +0000

The line equation is and through the

Find the parallel line.

The line slope intercept form is

The line is , then slope is

Substitute in

The parallel line through the is

Graph the parallel lines and .

Answered: Translations and Reflections in Geometry

Sat, 18 Feb 2017 17:47:17 +0000

Observe the figure,

Triangle is reflected across line

Here, consider the line is the middle line of the triangle.

Then image is reflected about y-axis.

The new coordinates are

Answered: Help??

Thu, 16 Feb 2017 22:49:10 +0000

35)

Observe the circle,

Arc of angles are

Consider the Angle is

The semi circle angle is

Thus,

Find angle

The angle of

Answered: Math?

Thu, 16 Feb 2017 21:07:48 +0000

26)

Observe the circle,

Angle is an inscribed angle of circle

Angle measures and arc measures

Find

The number of degrees in an inscribed angle is equal to times the number of degrees

in the inscribed arc formed by that angle.

The value of

Answered: Mathe help?

Thu, 16 Feb 2017 15:42:46 +0000

21)

Observe the triangles,

Consider the center of the point is c.

Triangle are congruent.

Observe the triangles,

Since,

Find

The value of

Mathskey.com - Recent questions and answers in GEOMETRY

Answered: The coordinates of point Y are giving. The midpoint XY is (3,-5). Find the coordinates of point X.

(0,2) (4,-1) (-2,-1) find perimeter

what is the slope of line PQ, P(-9,-4) Q(-7,-1)

If the circumference of a circle is 20 pi inches, than what is the diameter?

If circumference is 31.4 what is the area

Find the distance between two parallel lines having the following equations:y=3/8x+4 y=3/8x-5

EG=FH,GH=6,FG=24 Find EG.

EG=FH,GH=6,FG=24.

find the coordinates of the orthocenter of YAB that has vertices at Y(3,-2),A(3,5),and B(9,1) justify

find the coordinates of the orthocenter of YAB that has vertices at Y(3,-2),A(3,5),and B(9,1) Justify

Are the lines parallel, perpendicular, or neither? 2x + 6y = 6 4x + 12y = 0

the angles of triangle are in ratio 3:5:7

Answered: If x is the midpoint of -32 and 19, find x.

Answered: X-3y=15 and y=-3x+4 determine whether the lines are parallel, perpendicular, or neither

Answered: Slope of a Line

Answered: If line l has slope

Answered: The area of a semicircle is 6.28 square miles. What is the semicircle's perimeter?

The area of a semicircle is 6.28 square miles.

The area of a semicircle is (pi/2)r^2

(pi/2)r^2 =6.28

r^2 =4

r =2 miles

Calculate semicircle's perimeter.

P =pi*r =2pi miles

Answered: Find the area of the figure that is blue. A) 116 cm2 B) 220 cm2 C) 276 cm2 D) 284 ft2

Answered: x(2x-3)=44

The area of a semicircle is 6.28 square miles. What is the semicircle's perimeter?

Find the center of the circle that you can circumscribe about ΔΔEFG, when E(2, 6), F(2, 2), and G(8, 2).

Answered: Find the slope and y‐intercept.

Answered: Find the slope and y‐intercept.

Slope of a Line

Midpoint Formula

Rectangular Coordinate System

Answered: Find the x intercept of the graph of the equation .

Answered: Find the slope of the line passing through the points

Answered: What is the distance between the two farthest corners?

Answered: Write the​ point-slope form of the​ line's equation satisfying the given conditions.

Answered: find the y-intercept.

Answered: The coordinates of the midpoint of GH are M(8, 0) and the coordinates of one endpoint are H(−2, 9)

Answered: Find x so that GJ is parallel to FK if GF=12, HG=6, HJ=8, and JK=x-4.

Answered: What is the orthocenter of (-4,6) (2,6) (-4,-2)?

Answered: find the equation of a circle with a center point of P

Answered: find the slope line PQ.

Answered: Convert L to standard form

Answered: Find the mid point of the segment PQ

Answered: How to find angles, with explanation please

Answered: AD bar is a diameter of F. Find the following arc measures:

Answered: What is the measure of angle B in degrees?

Answered: If cos(90)=0 find sin(45)

Answered: If cos theta=-4/5 for theta in quadrant II, find sin theta/2

Answered: Find the area surface of a prism with dimensions of 8in, 15 in, 17in and 9in (height)

Answered: Which equation represents a line that is parallel to the line 2y-10=x?

Answered: through (-2,-7), parallel to y=-5x+4

Answered: Translations and Reflections in Geometry

Answered: Help??

Answered: Math?

Answered: Mathe help?

Answered: Write the point-slope form of the line's equation satisfying the given conditions.