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Natali [406]
3 years ago
12

If a point P(–1, –1) is reflected across the line y = –2, what are the coordinates of its reflection image?

Mathematics
1 answer:
Ksivusya [100]3 years ago
8 0
Since the line of refrection is a horizontal line, the x-coordinate of the image will be the same as the x-coordinate of the point P(-1, -1). P(-1, -1) is one unit above the line y = -2, hence the image will be one unit below the line y = -2. Therefore the coordinate of the image is (-1, -3)
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a chord is drawn 3 cm away from the centre of a circle of radius 5 cm. calculate the length of the chord​
lara [203]

Answer:

8 cm

Step-by-step explanation:

the 3 cm line from the chord to the center of a circle is a leg of a right triangle which perpendicularly bisects the chord into two equal halves

draw the hypotenuse of the right triangle from the center of the circle to the endpoint of the chord. This is a radius measuring 5 cm.

find the missing leg of the right triangle

a^2= c^2- b^2

a^2= 25-9

a^2=16

a=4

this is only the measurement of half the chord. To find the full length of the chord multiply by two

4*2=8 cm

7 0
3 years ago
Your neighbor has decided to enlarge his garden. The garden is rectangular with width 6 feet and length 15 feet. The new garden
Nana76 [90]

Answer:

Original garden: 42 feet

Enlarged garden: 98 feet

Step-by-step explanation:

Perimeter = length (2) + width (2)

<u>Original perimeter:</u>

P = 15(2) + 6(2)

P = 30 + 12

P = 42 feet

In this problem, similar is proportional, so the new garden will be proportional to the old one.

If the original length was 15 and the new length is 35, then 15 would have had to have been multiplied by 2 1/3. That means you need to multiply 6 by 2 1/3, which is 14. That means the dimensions of the enlarged yard is 14 (width) × 35 (length).

<u>Enlarged perimeter</u>

P = 35(2) + 14(2)

P = 70 + 28

P = 98 feet

4 0
3 years ago
Annie received a 10% raise last year. If her salary now is $60,000, what was her salary last year?
sergeinik [125]
$6,000 was her salary last year:))
4 0
3 years ago
for the given kite find the length of side LM write your answer in simplest radical form. show all work.
Gnesinka [82]

Answer:

13sqrt(2) units

Step-by-step explanation:

LM² = 7² + 17²

LM² = 338

LM = sqrt(338)

LM = 13sqrt(2)

sqrt: square root

3 0
4 years ago
Brian bought a desk on sale for $536. This price was 33% less than the original price.
Brilliant_brown [7]
The original price is $1624.242424 more than likely it was $1,624.25.
6 0
3 years ago
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