Can anyone help me with this question please!???!??

Answer:

B

Step-by-step explanation:

Let the two numbers be a and b.

The product of the two is 120 and their sum of their squares is 289. In other words:

[tex]\displaystyle ab = 120 \text{ and } a^2 + b^2 = 289[/tex]

And we want to find the sum of the two numbers.

We can use the perfect square trinomial. Recall that:

[tex]a^2 + 2ab + b^2 = (a+b)^2[/tex]

From the first equation, multiply by two:

[tex]2ab = 240[/tex]

Add the two equations together:

[tex](a^2+b^2)+(2ab) = (289)+(240)[/tex]

Simplify and rewrite:

[tex]a^2+2ab+b^2 = 529[/tex]

Factor using the perfect square trinomial pattern:

[tex](a+b)^2 = 529[/tex]

And take the square root of both sides:

[tex]\displaystyle a + b = \pm\sqrt{529} = \pm23[/tex]

Hence, the sum of the two numbers is 23 or -23.

In conclusion, our answer is B.

Answer:

D ig?

Step-by-step explanation:

Because opposite angles are equal in parallelogram

Answer:

so we have 4/3 divided by 7/4

= 4/3 * 4/7

= 4*4/3*7

= 16/21

Step-by-step explanation:

answer from gauth math

Answer:

The correct answer is the third one. CIRCUMFERENCE

Step-by-step explanation:

Write the expression

[tex] \sqrt{ \frac{3}{8} } [/tex]

Let make the denominator a perfect square that is a multiple of 8. 16 is a multiple of 8 and a perfect square so

[tex] \sqrt{ \frac{3}{8} } = \sqrt{ \frac{6}{16} } [/tex]

Know that

[tex] \sqrt{ \frac{x}{y} } = \frac{ \sqrt{x} }{ \sqrt{y} } [/tex]

So

[tex] \sqrt{ \frac{6}{16} } = \frac{ \sqrt{6} }{4} [/tex]

The simplified form of the square root of 3/8 is (√6) / 4.

To simplify the square root of 3/8, we can simplify the numerator and denominator separately.

For the numerator, we take the square root of 3:

√3

For the denominator, we take the square root of 8:

√8

Now, let's simplify each of them:

√3 cannot be simplified further because 3 is a prime number.

√8 can be simplified by factoring out the perfect square:

√8 = √(4 × 2)

Since 4 is a perfect square (2² = 4), we can take it out of the square root:

√8 = 2√2

Now, let's put the simplified numerator and denominator together:

√3/8 = √3 / (2√2)

To rationalize the denominator, we multiply the expression by the conjugate of the denominator:

(√3 / (2√2)) × (√2 / √2) = (√3√2) / (2√2√2)

Simplifying the denominator:

(√3√2) / (2√4) = (√6) / (2 × 2)

Simplifying further:

(√6) / (2×2) = (√6) / 4

Therefore, the simplified form of the square root of 3/8 is (√6) / 4.

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Step-by-step explanation:

(A) 42,40

(B) T(n) = 50 + (n-1)(-2)

= 50+2-2n

= 52-2n

(C) T(100) = 52 - 2(100)

= 52- 200

= - 148

9514 1404 393

Answer:

Step-by-step explanation:

1. The ratio is ...

  (6 in)/(8 in) = 6/8 = 3/4

__

2. The scaled dimensions are ...

  6 in × 3 = 18 in (vertical side)

  8 in × 3 = 24 in (horizontal side)

__

3. You know from your process of reducing the fraction in part 1 that multiplying numerator and denominator by the same value does not change the reduced ratio.

Answer:

x-3

Step-by-step explanation:

the inverse is x-3

this is the answer

9514 1404 393

Answer:

  g(f(4)) = 9

Step-by-step explanation:

Put the argument value where the variable is and do the arithmetic.

  g(f(4)) = g(4 -7) = g(-3) = (-3)^2

  g(f(4)) = 9

Answer:

-1/10

Step-by-step explanation:

(5/(-10))/5 = -(5/10)/5 = 1/10

(Hopefully this helped you out!)

Answer:

B

Step-by-step explanation:

It just is

Answer:

[tex] \frac{ - 1}{3} - ( - \frac{1}{2} ) \\ \frac{ - 1}{3} + \frac{1}{2} ( - \times - = + ) \\ = \frac{ - 2 + 3}{6} \\ = \frac{1}{6} \\ thank \: you[/tex]

Answer:

[tex] \frac{1}{6} [/tex]

Step-by-step explanation:

[tex] - \frac{1}{3} - ( - \frac{1}{2} )[/tex]

[tex] - \frac{1}{3} + \frac{1}{2} [/tex]

[tex] \frac{ - 2 + 3}{ 6} [/tex]

[tex] = \frac{1}{6} [/tex]

Answer:

Step-by-step explanation:

Remember:

[tex]\boxed{(1+y)^{\frac{1}{2} }= 1+\dfrac{y}{2} -\dfrac{y^2}{2*4} +\dfrac{1*3*y^3}{2*4*6} +K\ with -1 < y \leq 1 }\\\\\\Let\ say\ 4-x=1+y\ or\ y=3-x\\\\\\(4-x)^{\frac{1}{2} }=1+\dfrac{3-x}{2} -\dfrac{(3-x)^2}{2*4} +K\ with\ 2\leq x <4\\\\=\dfrac{29}{8} -\dfrac{5x}{4} +\dfrac{x^2}{8} +K\\[/tex]

Answer:

c

Step-by-step explanation:

i search it up

Answer:

4x-3 16t-4

Step-by-step explanation:

Answer:

1. 8x-4x=4x

5-2=3

so the answer will be

4x+3

2.9t-7t+12-8=2t+4.

3.i have no idea

4. 18x^2+12x^2+16x-11x-17+19=30x^2+5x-36.

Step-by-step explanation:

a°+10°+a°+20°=180

becasue sum of angle of suplimentary angles is 180.

2a+30=180

2a=180-30

2a=150

a=75

Answer:

132 particles

Step-by-step explanation:

5 minutes =  11 miles

1 hour (60 minutes)

11*x = 11 x 60 = 660

11x = 660/5=132

The distance of a jet stream can move a particle of air 132 miles in 1 hour.

Here,

A jet stream can move a particle of air 11 miles in 5 minutes.

We have to find, The distance of particles move in 1 hour.

What is distance?

The length along a line or line segment between two points on the line or line segment.

Now,

A jet stream can move a particle of air 11 miles in 5 minutes.

5 minutes = 11 miles

Then, for 1 minute a jet stream can move a particle of air = 11 / 5 miles

Hence, In 1 hour ( 60 minutes) a jet stream can move a particle of air;

⇒ [tex]\frac{11}{5} * 60 = 132[/tex]

So, The distance of a jet stream can move a particle of air 132 miles in 1 hour.

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Answer:

Step-by-step explanation:

x - first

x + 12 - second

x + (x + 12) = 44

2x=44-12

x=16

first number is 16

second number is 16+12=28

two numbers are 16 and 28

16 and 28 are the required two numbers when one number exceeds another by 12 and their sum is 44

One number exceeds another by 12 and their sum is 44

We need to find the two numbers

Two expressions with equal sign is called equation.

Let x be the first number

x + 12 be the  second number

x + (x + 12) = 44

2x=44-12

x=16

Therefore first number is 16

second number is 16+12=28

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Answer:

Step-by-step explanation:

Given data:

The 5-number summary is:

9514 1404 393

Answer:

  (6.8, 0.7)

Step-by-step explanation:

That point is ...

  A + (7/10)(B -A)

  = (-3, -7) +(7/10)(11 -(-3), 4 -(-7)) = (-3, -7) +7/10(14, 11)

  = (-3, -7) +(9.8, 7.7) = (6.8, 0.7)

The point 7/10 from A to B is (6.8, 0.7).

Answer:

√17

Step-by-step explanation:

An irrational number is a number that cannot be expressed as a ratio of two integers. Or in other words, an irrational number can't be expressed as a fraction. You really cant divide one integer by another integer to get √17, so that makes it an irrational number.

Answer:

Step-by-step explanation:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Answer:

B=Product

C=polynominal

D=distirbutive property

Step-by-step explanation:

Answer:

it's the second one

Step-by-step explanation:

the number of zeros behind the first number is the amount of tens! hope it helps!

Distance = (Rate)(Time)

Let x = speed of slower train

     x + 17 = speed of faster train

The trains meet when the sum of the distances = 1285

5x + 5(x+17) = 1285

(5 came from 5 hours)

10x + 85 = 1285

10x = 1200

 x = 120 mph

The speeds are 120 mph and 137 mph

wyzant

Answer:

[tex]\frac{y^7z^3}{x}[/tex]

Step-by-step explanation:

When variables have negative exponents, switch their positions.

[tex]\frac{x^{-1}y^7}{z^{-3}}=\frac{y^7z^3}{x}[/tex]

[tex]\\ \sf\longmapsto 0.49=\dfrac{49}{100}[/tex]

[tex]\\ \sf\longmapsto 0.093=\dfrac{93}{1000}[/tex]

[tex]\\ \sf\longmapsto 0.021=\dfrac{21}{1000}[/tex]

[tex]\\ \sf\longmapsto 0.103=\dfrac{103}{1000}[/tex]