1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
N76 [4]
3 years ago
14

Parallelogram FGHI on the coordinate plane below represents the drawing of a horse trail through a local park:

Mathematics
1 answer:
Masteriza [31]3 years ago
8 0

Answer:

The correct option is D.

Step-by-step explanation:

From the given figure it is noticed that the vertices of the parallelogram are F(-6,-1), G(-1,-1), H(-2,-4) and I(-7,-4).

In order to build a scale model of the trail, the drawing is enlarged on the coordinate plane.

Distance formula

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

FI=\sqrt{(-7-(-6))^2+(-4-(-1))^2}=\sqrt{1+9}=\sqrt{10}

AD=\sqrt{(1-3)^2+(2-8)^2}=\sqrt{4+36}=2\sqrt{10}

The scale factor is

\frac{AD}{FI}=\frac{2\sqrt{10}}{\sqrt{10}}=2

Therefore the length of sides of image is twice of preimage.

The vertices A and D are image of F and I respectively.

The length of FG is

FG=\sqrt{(-1-(-6))^2+(-1-(-1))^2}=\sqrt{25}=5

Therefore the length of AB is 10 units and length of CD is also 10 units.

The point which is on horizontal distance of 10 units from A(3,8), is B(13,8).

The point which is on horizontal distance of 10 units from D(1,2), is C(11,2).

Therefore vertices B and C are image of G and H respectively. The another corner points are (13,8) and (11,2). Option D is correct.

You might be interested in
The expression is 12n -4 = -7 solve for n
VARVARA [1.3K]
The answer for N is 1/4
6 0
3 years ago
Read 2 more answers
Given that u =< 2,12 >, and z =< -7,5 >
swat32

Using the dot product:

For any vector x, we have

||x|| = √(x • x)

This means that

||w|| = √(w • w)

… = √((u + z) • (u + z))

… = √((u • u) + (u • z) + (z • u) + (z • z))

… = √(||u||² + 2 (u • z) + ||z||²)

We have

u = ⟨2, 12⟩   ⇒   ||u|| = √(2² + 12²) = 2√37

z = ⟨-7, 5⟩   ⇒   ||z|| = √((-7)² + 5²) = √74

u • z = ⟨2, 12⟩ • ⟨-7, 5⟩ = -14 + 60 = 46

and so

||w|| = √((2√37)² + 2•46 + (√74)²)

… = √(4•37 + 2•46 + 74)

… = √314 ≈ 17.720

Alternatively, without mentioning the dot product,

w = u + z = ⟨2, 12⟩ + ⟨-7, 5⟩ = ⟨-5, 17⟩

and so

||w|| = √((-5)² + 17²) = √314 ≈ 17.720

7 0
2 years ago
Find the volume of the right triangular prism shown:
LekaFEV [45]

Answer:

960cm³

Step-by-step explanation:

Find the base of the triangle (use phytagoras theorem)

c²= a²+b²

20²= 16²+b²

400=256+b²

b²=400-256

b²= 144

b=

\sqrt{144}

base= 12

Volume: (1/2×b×h)×l

= (1/2×12×16)×10

=(6×16)×10

=96×10

=960cm³

7 0
3 years ago
What is the slope of (-5,1) (5,2)
WARRIOR [948]

Check the answer below its correct(or above)

8 0
3 years ago
Read 2 more answers
molly is making a sign in the shape of a trapezoid. One base is 18 inches and the other is 30 inches. How high must she make the
Nadusha1986 [10]
The area of the trapezoid is calculated through the equation,
                            A = ((b₁ + b₂)/2) x h
where b₁ and b₂ are the bases and h is the height. Substituting the known values from the given above,
                          504 = ((18 + 30)/2) x h
The value of h from the equation is 21. Thus, Molly must make the trapezoid 21 inches high. 
6 0
3 years ago
Other questions:
  • There are 45 children in a class. if 9 of them are absent, what percentage of the class is present?
    15·1 answer
  • 3. Three less than twice a number is 15. What is the number?
    8·2 answers
  • Grissom draws different sized spheres in a notebook. He knows there is a relationship between the volume of the sphere and the l
    11·1 answer
  • Sylvia enlarged a photo to make a 24 x 32 inch poster using the dilation DQ,4. What are the dimensions, in inches, of the origin
    15·1 answer
  • Convert the following: 143 oz = g = kg
    7·1 answer
  • How are absolute value and opposites realated​
    11·2 answers
  • OOP I NEED HELP I STUPID EDO
    7·2 answers
  • Pleaseeeeee helpppppppppp
    12·2 answers
  • What is the slope and y-intercept of the line represented by 3x=15
    14·2 answers
  • (3 m^6 n^2)^3 * 2mn^4
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!