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Kryger [21]
3 years ago
12

square GYTD has vertices G(-4,3), Y (0,3), T (0,-1) and D (-4, -1) square GYTD is translated 2 units left and 2 units up to prod

uce square G'YT'D' which coordinates describe the vertices of the image?
Mathematics
1 answer:
WARRIOR [948]3 years ago
5 0
ANSWER:
G’(-6,5) Y’(-2,5) T’(-2,1) D’(-6,1)

WORK OUTS:
G’=(-4-2,3+2)=(-6,5)
Y’=(0-2,3+5)=(-2,5)
T’=(0-2,-1+2)=(-2,1)
D’=(-4-2,-1+2)=(-6,1)

EXPLANATION:
Because the translation is 2 units to the left, which makes it -2(going to the right is positive and the left is negative). Then you will subtract 2 from each x value because translating right and left effects the x value of the coordinates.
You were also given that the translation is 2 units upwards ( going upwards is positive and downwards is negative) therefore the 2 will stay positive. Then you will add 2 to each y value because translating up and down effects the y value of the coordinates.
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Answer:

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3 0
3 years ago
What is 423 divided by 898?
KiRa [710]

423 divided by 898 is 0.47104677...

Hope I could help! :)

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2 years ago
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sergeinik [125]

Answer:

A. x = 58°

B. x = 10m

C. a = 44°

All approximated to nearest whole number.

Step-by-step explanation:

All triangles given are right angled triangles. Therefore, we would apply the trigonometry functions to solve for each missing side and angle.

Recall: SOHCAHTOA

a. Adjacent = 4.8cm,

Hypotenuse = 9cm

Angle to find =x°

Thus, we would apply the following formula:

Cos θ = Adjacent/Hypotenuse

Cos θ = 4.8/9 = 0.5333

θ = Cos-¹(0.5333) = 57.77

x ≈ 58° (to nearest whole number)

b. Opposite side = x

Hypothenuse = 40 m

Included angle = 14°

We would use:

Sine θ = opposite/hypothenuse

Sin (14) = x/40

Multiply both sides by 40

40*sin(14) = x

40*0.2419 = x

x = 9.676 = 10 m (to nearest whole number)

c. Opposite = 87mm

Adjacent = 91mm

θ = a°

We would use:

Tan θ = opposite/adjacent

Tan θ = 87/91

Tan θ = 0.9560

θ = tan-¹(0.9560)

θ = a = 43.71

a ≈ 44° (to nearest whole number)

7 0
3 years ago
Use the system of equations and graphs below to complete the sentence. x − 2 ⁢ y = 5 3 ⁢ x + 15 ⁢ y = − 6 Set of 4 graphs are re
Leno4ka [110]

The solution to the given system of linear equations is (3, -1)

<h3>Graph of Linear Equations</h3>

From the question, we are to determine the graph of the system of linear equations

The given system of equations is

x - 2y = 5

3x + 15y = -6

The graph of the given system of equation is shown below

From the graph,

The point of intersection of the lines is at (3, -1)

Hence, the solution to the given system of linear equations is (3, -1)

Learn more on Graph of Linear equations here: brainly.com/question/14323743

#SPJ1

4 0
1 year ago
Tom is buying topsoil for the flower bed shown below. One bag of topsoil covers 15 square meters. How many bags of topsoil does
____ [38]

Answer:

We need 4 topsoils

Step-by-step explanation:

I think your question is missed of key information that is the area of the flower bed, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.

My answer:

The flower bed is a triangle with its height is 5 cm and the base length is 12 cm, so we need to find out the area of it:

  • S = Height*the base length = 5 * 12 = 60 m^{2}  

So the bags of topsoil does Tom need to cover his flower bed is:

\frac{Area of the flower bed}{The area of the topsoil } = \frac{60}{15} = 4

We need 4 topsoils

3 0
3 years ago
Read 2 more answers
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