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3 years ago

Point W has coordinates (4, -7). If it is translated left 4 units, what are the coordinates of its image?

Mathematics

1 answer:

denpristay [2]3 years ago

5 0

Answer:

(0, - 7)

Step-by-step explanation:

A translation of 4 units left means subtracting 4 from the original x- coordinate, but the y-coordinate remains unchanged

W(4, - 7 ) → W'(4 - 4, - 7 ) → W'(0, - 7 )

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What two numbers multiply to 54 and add up to 7

k0ka [10]

Xy = 54
x + y = 7

$xy = 54$
$\frac{xy}{x} = \frac{54}{x}$
$y = \frac{54}{x}$

$x + y = 7$
$x + \frac{54}{x} = 7$
$\frac{x^{2}}{x} + \frac{54}{x} = 7$
$\frac{x^{2} + 54}{x} = 7$
$x^{2} + 54 = 7x$
$x^{2} - 7x + 54 = 0$
$x = \frac{-(-7) \± \sqrt{(-7)^{2} - 4(1)(54)}}{2(1)}$
$x = \frac{7 \± \sqrt{49 - 216}}{2}$
$x = \frac{7 \± \sqrt{-167}}{2}$
$x = \frac{7 \± i\sqrt{167}}{2}$
$x = \frac{7 \± 12.9i}{2}$
$x = 3.5 \± 6.45i$
$x = 3.5 + 6.45i$ $or$ $3.5 - 6.45i$

x + y = 7
3.5 + 6.45i + y = 7
- (3.5 + 6.45i) - (3.5 + 6.45i)
y = 3.5 - 6.45i
  (x, y) = (3.5 + 6.45i, (3.5 - 6.45i)

  or

  x + y = 7
3.5 - 6.45i + y = 7
- (3.5 - 6.45i)   - (3.5 - 6.45i)
y = 3.5 + 6.45i
(x, y) = (3.5 - 6.45i, 3.5 + 6.45i)

The two numbers that add up to 7 and can multiply to 54 is 3.5 ± 6.45i.

5 0

3 years ago

Find x, when p(x) = -1,

Neporo4naja [7]

Answer:

positive or negative 4

Step-by-step explanation:

p(x) is another form of saying y. plug in -1 as the y value. then look where on the graph it touches the line

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4 years ago

Find the difference of 1 and 0.4308

kotykmax [81]

0.5692 is the answer

6 0

3 years ago

Read 2 more answers

Please help! i'll mark brainliest <33

kkurt [141]

Answer:

i have no clue

Step-by-step explanation:

wowo

6 0

3 years ago

-(4k^2-13k-12)+5k^2-8k How would I be able to write this in standard form with the greatest exponent being first.

aliina [53]

Answer:

Step-by-step explanation:

Negative sign is outside the parenthesis. So, each term of (4k² - 13k -12) should be multiplied by (-1)

-(4k² - 13k -12) + 5k² - 8k = 4k²*(-1) - 13k*(-1) - 12*(-1) + 5k² - 8k

= -4k² + 13k + 12 +5k² - 8k

Combine like terms,

= -4k² + 5k² + 13k - 8k + 12

= k² + 5k + 12

Like terms are the terms with same variable with same exponent.

(-4k² ) and 5k² are like terms

13k and (-8k) are like terms

3 0

3 years ago