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elena-s [515]
3 years ago
7

On a coordinate plane, a straight line and a parallelogram are shown. The straight line has a negative slope and has a formula o

f y = negative x. The parallelogram has points G (negative 2, negative 3), F (1, negative 3), E (negative 1, negative 5), and H (2, negative 5).
What are the coordinates of the image of vertex F after a reflection across the line
y = –x?

A. (–1, –3)
B. (3, –1)
C. (1, 3)
D. (–3, 1)

Mathematics
1 answer:
suter [353]3 years ago
7 0

Answer:

  B.  (3, –1)

Step-by-step explanation:

Reflection in the line y=-x is described by the transformation ...

  (x, y) ⇒ (-y, -x)

Then the point of interest becomes ...

  F(1, -3) ⇒ F'(3, -1) . . . . matches choice B

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C. Make n subject of the formula<br>S= n/2 [2a + (n - 1)d]<br><br>please provide your working out ​
yKpoI14uk [10]

Answer:

n=\frac{4as -2ds}{(1-2ds)}

Step-by-step explanation:

S= \frac{n}{2 [2a + (n - 1)d]}

Simplifying the fraction by multiplying d into the (n-1) term,

s=\frac{n}{2 [2a + (n - 1)d] } = \frac{n}{2[2a + dn - d] }

Simplifying the fraction by multiplying 2 throughout,

s= \frac{n}{4a + 2dn-2d}

Multiply (4a + 2dn-2d) on both sides

(4a + 2dn-2d)s= \frac{n}{4a + 2dn-2d} (4a + 2dn-2d)

Cancel the (4a + 2dn-2d) on the right hand side

(4a + 2dn-2d)s= n

Multiply s to the terms,

4as + 2dns-2ds= n

Move 2dns to the right hand side by subtracting 2dns on both sides4as + 2dns-2ds-2dns= n-2dns

4as -2ds= n-2dns

On the right hand side of the equation, take out n

4as -2ds= n(1-2ds)

Divide Left hand side by (1-2ds),

n=\frac{4as -2ds}{(1-2ds)}

6 0
4 years ago
The diameter of a cylinder is 4 centimeters. The height is 12 centimeters. Using 3.14 for pi, what is the volume of the cylinder
erica [24]

Answer:

V = 150.72 cm³.

Step-by-step explanation:

First, get the volume of a cylinder.

V = πr²h

Where:

π = 3.14 (given)

r = radius (half of diameter, or 2)

h = height (12)

Knowing this, substitute the known values.

V = πr²h

V = (3.14)(2²)(12)

Square 2.

V = (3.14)(4)(12)

Multiply 3.14 and 4.

V = (12.56)(12)
Multiply 12.56 and 12.

V = 150.72.

Since it is already rounded to the nearest hundredth, that is your answer.

7 0
2 years ago
How do I solve this? Will mark brainliest, just trying to learn.
GaryK [48]

Answer:

5

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Need help and exact locations please, very confused
nadezda [96]

Answer:

here you go ;d

Step-by-step explanation:

4 0
3 years ago
4. Which of the following is a geometric sequence?
pentagon [3]

Answer:

1, 3, 9, 27, 81, . . .

Step-by-step explanation:

Got it right on edg

3 0
3 years ago
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