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3 years ago

Could someone please help

Mathematics

1 answer:

LiRa [457]3 years ago

4 0

11 is the answer.

5+5 is 10
1/2 + 1/2 is 1
10+1 is 11

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Earths mass into scientific notation, (5,980,000,000,000,000,000,000,000kg)

LiRa [457]

5.98 * 10^24kg because the amount of zeros is 24 and the exponent will be 24 and you have the decimal point between the 5 and then 9

5 0

4 years ago

The length of a rectangle is 5 inches more than its vedth. The area of the rectangle is equal to

jarptica [38.1K]

Answer:

The width = x = 14

The length = x+5 = 14+5 = 19

Step-by-step explanation:

Let l = length, w = width, A = area = l×w , and P = perimeter = 2(l+w)

Let 'x' be the width

As the length 'l' of a rectangle is 5 inches more than its width.

so the length will be = x+5

As the Area of the rectangle is equal to 2 inches more than 4 times the perimeter.

A = 4P + 2

so the equation becomes

l × w = 4×2(l+w)+2

substituting w=x, l = x+5,

(x+5)x = 8(x+5+x)+2

x²+5x = 8(5+2x)+2

x²+5x = 40+16x+2

x²+5x = 16x+42

x²+5x-16x-42 =0

x²-11x-42=0

$x^2-11x=42$

$\mathrm{Add\:}a^2=\left(-\frac{11}{2}\right)^2\mathrm{\:to\:both\:sides}$

$x^2-11x+\left(-\frac{11}{2}\right)^2=42+\left(-\frac{11}{2}\right)^2$

$x^2-11x+\left(-\frac{11}{2}\right)^2=\frac{289}{4}$

$\left(x-\frac{11}{2}\right)^2=\frac{289}{4}$

$\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}$

solving

$x-\frac{11}{2}=\sqrt{\frac{289}{4}}$

$x-\frac{11}{2}=\frac{\sqrt{289}}{\sqrt{4}}$

$x-\frac{11}{2}=\frac{\sqrt{289}}{2}$

$x-\frac{11}{2}=\frac{17}{2}$

$x-\frac{11}{2}+\frac{11}{2}=\frac{17}{2}+\frac{11}{2}$

$x=14$

similarly solving

$x-\frac{11}{2}=-\sqrt{\frac{289}{4}}$

$x-\frac{11}{2}=-\frac{17}{2}$

$x-\frac{11}{2}+\frac{11}{2}=-\frac{17}{2}+\frac{11}{2}$

$x=-3$

x = 14, or x = -3

As the width 'x' can not be negative.

so x = 14

Thus,

The width = x = 14

The length = x+5 = 14+5 = 19

6 0

3 years ago

Mrs.Dimas has $130 to buy basketballs for Edison Middle School. How many can she buy at $15 each? Interpret the remainder

katovenus [111]

8 with a remainder of 10 or 8 and 10/15 orrrrr 8 and 1/3

3 0

3 years ago

Read 2 more answers

Select the correct answer.

Butoxors [25]

Answer:

Hello there the Correct answer The only answer choice that produces -2x²+2 is D.

Because (-x²+2x+3)+(-x²-2x-1) = -x²+2x+3-x²-2x-1 = -2x²+2

answer: D

Hope It Helps!

5 0

3 years ago

Find the missing leg if one leg is 18 units and the hypotenuse is 30 units

irina1246 [14]

Answer:

Step-by-step explanation:

I will assume this is a right triangle with the information given

a^2+b^2 = c^2 is the Pythagorean theorem

18^2 + b^2 = 30^2

Subtract 18^2 from each side

18^2 - 18^2+ b^2 = 30^2 -18^2

b^2 =900 -324

b^2 =576

Take the square root of each side

sqrt(b^2) = sqrt(576)

b =24

4 0

4 years ago