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nydimaria [60]
3 years ago
12

Find a negative real number such that the square of the sum of the number and 5 is equal to 1225. (

Mathematics
1 answer:
Sholpan [36]3 years ago
5 0

The number is -40

Step-by-step explanation:

Let x be the number that we have to find

Then according to the given statement

the square of the sum of the number and 5 is equal to 1225.

(x+5)^2 = 1225

Taking square root on both sides

\sqrt{(x+5)^2} = \sqrt{1225}\\x+5 = -35 and x+5 = -35\\

Subtracting 4 from both sides

x+5-5 = 35-5\ and\\ x+5 = -35-5\\x = 30\ and\ x = -40

As it is mentioned in the equation, that the number is a negative number

So,

x = -40

Keywords: Radicals, Linear equations

Learn more about radicals at:

  • brainly.com/question/11207748
  • brainly.com/question/11280112

#LearnwithBrainly

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Which figure shows a line of reflectional symmetry for the letter T? A letter T is folded at the horizontal line. A letter T is
Reika [66]

Answer:

A letter T is folded vertically through the middle.

Step-by-step explanation:

Reflectional symmetry refers to the symmetry of line that divides the given shape into two equal halves. The halves represent the mirror reflection of each other. The line of symmetry is drawn to show the reflection and it acts as a mirror. For the letter 'T', the reflectional symmetry will be drawn vertically in the middle of the letter. The line divides the letter into two equal halves with mirror images.

6 0
3 years ago
Read 2 more answers
Help on section B :)
riadik2000 [5.3K]
Hey there!

The range of a function consists of all the y values the function has in its graph.

Notice in the graph your y values in the function range from 3 to infinity since the graph goes on infinitely upwards and then decreases to a steady y value of 3.

Therefore, your range in interval notation would be [3,∞) since the value of three is included.

Hope this helps and have a wonderful day! :) 
6 0
4 years ago
Read 2 more answers
The circumference of a circle is 157 centimeters. What is the area of the circle in terms
DENIUS [597]

Answer:

The area of the circle is 56.25π cm²

Step-by-step explanation:

  • The formula of the circumference of a circle is C = 2πr, where r is the radius of the circle
  • The formula of the area of a circle with radius r is A = πr²

<em>To find the area of the circle use the formula of the circumference to find its radius and then use the formula of the area to find its area</em>

∵ The circumference of a circle is 15π centimeters

∵ C = 2πr

- Equate 2πr by 15π

∴ 2πr = 15π

- Divide both sides by π

∴ 2 r = 15

- Divide both sides by 2

∴ r = 7.5 centimeters

Now let us use the rule of the area to find it

∵ A = πr²

∴ A = π(7.5)²

∴ A = 56.25π centimeters²

The area of the circle is 56.25π cm²

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3 years ago
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6 0
3 years ago
Misha’s hamster weighed 0.845 kilograms. About how much does it weigh, rounded to the nearest hundredth?
erastova [34]

Answer:

0.85 kilograms

Step-by-step explanation:

The nearest hundredth can be defined as a place value used when rounding up numbers after the decimal.

The nearest hundredth can also mean rounding up to 2 decimal places.

We are asked to round up 0.845 to the nearest hundredth

The nearest hundredth is the second number after the decimal = 4

The third number after the decimal = 5, hence we add 1 to 4 , making it 5.

Hence:

0.845 kilograms to the nearest hundredth = 0.85 kilograms

6 0
4 years ago
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