2x-4 (x-4)=-2+3x+3 what's the value of x

Mathematics

2 answers:

chubhunter [2.5K]3 years ago

6 0

2x - 4(x-4) = -2 + 3x + 3
2x - 4x + 16 = 3x + 1
-2x + 16 = 3x + 1
5x = 15
x = 3

Zinaida [17]3 years ago

6 0

The correct answer is 3

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Find 3 consecutive numbers where the product of the smaller two numbers in 19 less than the square of the largest number?

sineoko [7]

Answer is 5, 6, & 7

x = smallest number
y = x + 1
z = x + 2

(x)(y) = z^2 - 19
(x)(x+1) = (x + 2)^2 - 19
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x^2 + x = x^2 + 4x + 4 - 19

x^2 term drops out from both sides

x = 4x + -15
15 = 4x - x
15 = 3x
15/3 = x
x = 5
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Confirm by substituting back in for the variables:
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8 0

3 years ago

A skyscraper is 396 meters tall. At a certain time of the day, it's casts a shadow that is 332 meters long. At what angle is the

emmasim [6.3K]

Answer:

56.96°

Step-by-step explanation:

The set up will give a right angles triangle where;

The height of the sky scraper = hypotenuse side = 396m

The length of the shadow will be the opposite = 332m

According to the SOH trig identity

sin theta = opp/hyp

sin theta = 332/396

sin theta = 0.8383

theta = arcsin 0.8383

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3 years ago

Read 2 more answers

Solve for x, given the equation Square root of x plus 9 − 4 = 1.

Daniel [21]

ANSWER

The value of x is
$16.$

EXPLANATION

We want to solve the equation,

$\sqrt{x + 9} - 4 = 1$

The first step is to add 4 to both sides of the equation to obtain,

$\sqrt{x + 9} = 1 + 4$

We simplify the right hand side to obtain,

$\sqrt{x + 9} = 5$

We now square both sides of the equation to obtain,

$(\sqrt{x + 9} ) ^{2} = {5}^{2}$

This simplifies to

$x + 9= 25$

We solve for x to obtain,

$x = 25 - 9$

This implies that,

$x = 16$

4 0

3 years ago

Explain the answer with briefs steps

aliina [53]

Step-by-step explanation:

steps are in picture above.

Note:if you need to ask any question please let me know.