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3 years ago

The image of the point (-3, 8) under a translation is (1, 10). Find the coordinates of

Mathematics

1 answer:

Dafna11 [192]3 years ago

3 0

Answer:

(9, - 2 )

Step-by-step explanation:

Given (- 3, 8 ) → (1, 10 )

That is the x- coordinate of the image is 4 more than the original.

The y- coordinate of the image is 2 more than the original, so

Translation rule is (x, y ) → (x + 4, y + 2 ), thus

(5, - 4 ) → (5 + 4, - 4 + 2 ) → (9, - 2 )

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A square fits exactly inside a circle with each of the vertices being on the circumference of the circle. The square has sides l

NNADVOKAT [17]

Answer: The value of x is 5.970.

Step-by-step explanation:

Given: The square has sides length of X cm.

Let r be the radius of the circle.

The square fits exactly inside a circle with each of the vertices being on the circumference of the circle.

Then diagonal of square = diameter of circle

i.e. $\sqrt{2}x= 2r$ [Diagonal of square = $\sqrt{2}$ (side)]

i.e. $r=\dfrac{x}{\sqrt{2}}$

area of circle = $\pi r^2$

i.e. $56=\frac{22}{7}(\frac{x}{\sqrt{2}})^2$

$56=\frac{22}{7}\times\frac{x^2}{2}\\\\\Rightarrow\ x^2= \dfrac{7}{11}\times56\\\\\Rightarrow\ x^2=35.636\\\\\Rightarrow\ x=\sqrt{35.636}\approx5.970$

Hence, the value of x is 5.970.

4 0

3 years ago

What are the corresponding sides in the two images below?

Sonja [21]

LM=ZW

LD=WX

MN =ZY

DN=YX

3 0

2 years ago

______ x ________ = 16

Arlecino [84]

1) 4 times 4 = 16
2) 2 times 2 times 9 = 36
3) 4 times 2 times 9 = 72
4) x + y + z = n
(any solution that is true)

6 0

3 years ago

Please please please

sergiy2304 [10]

Sorry can see good in the pic maybe next time
Sorry

8 0

2 years ago

The mean of 8 math quiz scores is 88. If the first seven scores are 85,70,92,85,91,100, and 88, what is the eighth quiz score? U

777dan777 [17]

Answer:

Step-by-step explanation:

The mean of a list of numbers is the sum of the numbers divided by the count of the numbers in the list.

In this case, representing the eighth score with x, the mean is (611+x)/8

Solving for the mean:

88=(611+x)/8

Multiply both sides by 8

8*88=611+x

704=611+x

704-611=x

x=93

3 0

3 years ago

Read 2 more answers