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2 years ago

6

How many solutions are there to equation square root x = -16

1 answer:

crimeas [40]2 years ago

8 0

0 because if it is a square root than that means that the answer can’t be negative. Therefore the answer is 0.

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The width of a rectangular window is 2 feet more than its height. If the area is 35 square feet, what is the height?

storchak [24]

$h-height\\h+2-width\\35 ft^2-Area\\\\Area=h(h+2)\\\\h(h+2)=35\\h^2+2h-35=0\\\\a=1;\ b=2;\ c=-35\\\\\Delta=b^2-4ac;\ if\ \Delta > 0\ then\ h_1=\frac{-b-\sqrt\Delta}{2a}\ and\ h_2=\frac{-b+\sqrt\Delta}{2a}\\\\\Delta=2^2-4\cdot1\cdot(-35)=4+140=144;\ \sqrt\Delta=\sqrt{144}=12\\\\h_1=\frac{-2-12}{2\cdot1}=\frac{-14}{2}=-7 < 0;\ h_2=\frac{-2+12}{2\cdot1}=\frac{10}{2}=5\\\\Answer:Height\ is\ 5\ ft.$

6 0

3 years ago

two dice are rolled until a sum of either 5 or 7 occurs. estimate the probability that a 5 occurs first g

Ierofanga [76]

Answer:

The correct answer is " $\frac{2}{5}$ ". A further solution is provided below.

Step-by-step explanation:

According to the question,

The probability of getting a 5 will be:

= $\frac{4}{36}$

= $\frac{1}{9}$

The probability of getting a 7 will be:

= $\frac{6}{36}$

= $\frac{1}{6}$

The probability of not a 5 nor a 7 will be:

= $1-[\frac{4}{36} +\frac{4}{36} ]$

= $\frac{26}{36}$

= $\frac{13}{18}$

Now,

For roll of 2 dice,

⇒ $P=\frac{1}{9} +{\frac{1}{9}\times (\frac{13}{18} ) }+{(\frac{1}{9} )\times (\frac{13}{18} )^2}+{\frac{1}{9}\times (\frac{13}{18} )^3 }+...$

$=\frac{1}{9} [1+\frac{13}{18} +\frac{13^2}{18^2} +\frac{13^3}{18^3} +...]$

$=\frac{1}{9} [\frac{1}{1-\frac{13}{18} } ]$

$=\frac{1}{9} [{\frac{1}{\frac{5}{8} } ]$

$=\frac{2}{5}$

6 0

3 years ago

A vehicle uses 1 gallons of gasoline to travel 13 miles. At this rate, how many mile

Brrunno [24]

1 gallon (it’s stayed in the question)

6 0

3 years ago

How to do estimate 81=25+8x

joja [24]

Answer:

None

Step-by-step explanation:

It would be easier to ask your teacher instead of getting wrong answers from random people. Ever think of that :0

6 0

2 years ago

2/7 times 2/6 = what

Andrej [43]

4/7 or 0.571429 :) :)

8 0

3 years ago

Read 2 more answers