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2 years ago

What is the solution to the following equation?

Mathematics

1 answer:

lions [1.4K]2 years ago

8 0

Answer:

D. x = 7

Step-by-step explanation:

NOTE : there should be an equal sign somewhere in the given expression.

suppose the equation is the following:

3(x-4)-5 = x-3

………………………………………………………

3(x - 4) - 5 = x - 3

⇔ 3x - 12 - 5 = x - 3

⇔ 3x - 17 = x - 3

⇔ 3x - 17 + 17= x - 3 + 17

⇔ 3x = x + 14

⇔ 2x = 14

⇔ x = 14/2

⇔ x = 7

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Reil [10]

Answer:

x = 5.00 cm

Step-by-step explanation:

• area of the rectangle = $x$ x $(x + 1)$

= $x^2 + x$

• area of the circle = π r²

= $\frac{22}{7}$ x $(x + 2)^2$

= $\frac{22}{7}$ x $(x^2 + 4x + 4)$

∴ $x^2 + x$ + $\frac{22}{7}$ x $(x^2 + 4x + 4) = 184$

⇒ $x^2 + x$ + $\frac{22}{7} x^2 \space\ + \space\ \frac{88}{7} x \space\ + \space\ \frac{88}{7} = 184$

⇒ $\frac{29}{7}x^2 \space\ + \space\ \frac{95}{7}x \space\ - \frac{1200}{7} = 0$

• Using quadratic formula, where

a = $\frac{29}{7}$

b = $\frac{95}{7}$

c = $\frac{-1200}{7}$ ,

$x=\frac{-b \pm \sqrt{b^2-4c}}{2}$

$x = \frac{-\frac{95}{7}\pm \sqrt{(\frac{95}{7})^2 - 4(\frac{29}{7})(\frac{-1200}{7} ) } }{2(\frac{29}{7})}$

$x = 5.00 \space\ \space\ \space\ or \space\ \space\ \space\ x = -8.28$

As length (x) cannot be a negative number,

x = 5.00 cm

7 0

2 years ago

Equation of the line if (-4,1) and m=3

galben [10]

Answer:

y=3x+13

Step-by-step explanation:

y=mx+b

y=3x+b

so now we plug in the coordinates

1=3(-4)+b

1=-12+b

b=13

8 0

3 years ago

Please help!!!

Dominik [7]

Answer:

Dilate Circle A by a scale factor of 4.

Step-by-step explanation:

Figure 1 shows Circles A (red) and B (green) before any transformations.

Figure 2 shows Circle A dilated about its centre by a factor of 4.

It is now apparent that every radius in A' has a corresponding radius in B, so the circles are similar.

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3 years ago

What is the solution of log3x − 5 16 = 2?

devlian [24]

log3x − 5 16 = 2
+516 +516
log3x=518
x=(10^518)/3
the answer seems a bit crazy, you probably typed something wrong

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3 years ago

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mestny [16]

Answer:

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293728272

38838373828737

83826382

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726372826

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282828272727272772

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3 0

3 years ago