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MArishka [77]
3 years ago
11

How do I solve this question?

Mathematics
1 answer:
asambeis [7]3 years ago
5 0
This is a perfect square trnomial
(a+b)²=a²+2ab+b²
we see that a=5x and b=2

(5x)²+2(5x)(2)+2²=0
factor
(5x+2)²=0
set equal to zero
5x+2=0
5x=-2
x=-2/5
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Solve the following exponential equation by taking the natural logarithm on both sides. Express the solution in terms of natural
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Answer:

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Step-by-step explanation:

e^{2 - 4x} = 662

Solve this exponential equation using natural log

Take natural log ln on both sides

ln(e^{2 - 4x}) = ln(662)

As per the property of natural log , move the exponent before log

2-4x(ln e) = ln(662)

we know that ln e = 1

2-4x= ln(662)

Now subtract 2 from both sides

-4x= ln(662)-2

Divide both sides by -4

x=-\frac{ln(662)-2}{4}

Solution set is {x=-\frac{ln(662)-2}{4}}

USe calculator to find decimal approximation

x=-1.12381x=-1.12

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ANSWER ASAP What is the volume of this right triangular prism? A. 180 cubic centimeters B. 120 cubic centimeters C. 90 cubic cen
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Volume of the right triangular prism 90 cube cm.

Step-by-step explanation:

Given,

In the right triangular prism

Length (l) = 6 cm

Base (b) = 5 cm

Height (h) = 6 cm

To find the volume of the right triangular prism

Formula

Volume of the right triangular prism = \frac{1}{2}bhl

Now,

Volume of the right triangular prism = \frac{1}{2}×6×6×5 cube cm

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