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3 years ago

(X+4)^2-25=0 Find the zeros of the function

Mathematics

1 answer:

kicyunya [14]3 years ago

4 0

Answer:

x = -9, 1

Step-by-step explanation:

(X+4)^2-25=0

Add 25 to each side

(X+4)^2-25+25=0+25

(X+4)^2=25

Take the square root of each side

sqrt((X+4)^2)=±sqrt(25)

x+4 = ±5

Separate into 2 equations

x+4 =5 x+4 =-5

Subtract 4 from each side

x+4-4=5-4 x+4-4 =-5-4

x=1 x=-9

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kvasek [131]

Answer:

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Step-by-step explanation:

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3 years ago

If 2x = 14 then x=7

const2013 [10]

It would be 14

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3 years ago

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The diagram shows a sector of a circle radius 11 cm.

nadya68 [22]

Answer:

Perimeter of sector is 47.93 cm which is greater than 47.5 cm

Step-by-step explanation:

Mathematically, the perimeter of a sector is length of the arc plus 2 radii

The length of the arc is;

theta/360 * 2 * pi * r

where theta is the angle subtended by the arc at the center of the circle

Thus, we have

135/360 * 2 * 22/7 * 11 = 25.93

Add 2 radii = 25.93 + 2(11) = 47.93 cm

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3 years ago

7n + 5 =68.... how to solve this problem and show my work

mart [117]

Answer:

n=9

Step-by-step explanation:

7n+5=68 Subtract 5 on both sides.

-5 -5

7n=63 Divide both sides by 7.

/7 /7

n=9

Hope this helps! Have a nice day ^^

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3 years ago

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Julian walked 6/10 of a mile to his friends house and another 35/100 mile to the store. He walked 1/4 of a mile back home. Julia

AveGali [126]

The statement, "Julian's sister said he walked 1/5 mile" cannot be agreed because Julian totally walked $1\frac{1}{5} \text{ or } \frac{6}{5}$ miles.

Solution:

Given that,

Julian walked 6/10 of a mile to his friends house
Another 35/100 mile to the store
He walked 1/4 of a mile back home

To find total distance walked by Julian we have to add the above stated values. That is, $\frac{6}{10} +\frac{35}{100} +\frac{1}{4}$

Factors of 10 = $5\times2$

Factors of 100 = $5\times2\times5\times2$

Factors of 4 = $2\times2$

Therefore, the least common factor of 10, 100 and 4 is 100. With like denominators we can operate on just the numerators,

$\frac{6\times10}{10\times10} +\frac{35\times1}{100\times1} +\frac{1\times25}{4\times1}\rightarrow\frac{60+35+25}{100}\rightarrow\frac{120}{100}$

$\Rightarrow\frac{120}{100}\rightarrow\frac{6}{5}$

Which can also be written as $1\frac{1}{5}$ .

So, from the above calculation it can be said that Julian walked $1\frac{1}{5} \text{ miles }$ .

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3 years ago