2 years ago

Quadrilateral PQRS is transformed to create quadrilateral P’Q’R’S

Mathematics

2 answers:

oee [108]2 years ago

6 0

Answer:

Step-by-step explanation:

Reflection over the X-axis

All point passes, (x,-y)

Leno4ka [110]2 years ago

5 0

Answer:

Step-by-step explanation:

Reflection over the x-axis because the quadrilateral reflected.

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Naddik [55]

Answer:

x= -3

Step-by-step explanation:

Given: 5(x+5) = 10

Find: x

Set the equation up.

5(x+5) = 10

Simplify.

5x + 25 = 10

Subtract 25 from both sides.

5x = -15

Divide to isolate the variable.

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Find a4 for the arithmetic series with S4=-36 and a1=9

erastova [34]

ANSWER

The 4th term is -27

EXPLANATION

The sum of the first n-terms of an arithmetic sequence is

$S_n= \frac{n}{2} (2a_1+d(n-1))$

It was given that,

$S_4 = - 36$

$a_1 = 9$

$- 36= \frac{ 4}{2} (2 \times 9+d(4-1))$

$-36=2(18+3d)$

$-18=18+3d$

$-18 - 18 = 3d$

$3d = - 36$

$d = - 12$

The n-term is given by:

$a_n=a_1+ (n-1)d$

We substitute n=4 to get,

$a_4=9+ (4-1) \times -12$

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3 years ago

Clare is painting some doors that are all the same size. She used 2 liters of paint to cover 1 3/5 doors. How many liters of pai

barxatty [35]

Answer:

$1\frac{1}{4}\ liters$

Step-by-step explanation:

step 1

Convert mixed number to an improper fraction

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step 2

Using proportion

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step 3

Convert to mixed number

$\frac{10}{8}\ liters=\frac{8}{8}+\frac{2}{8}=1\frac{1}{4}\ liters$

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