A hang-glider 25 meters above the ground started to descend (go down) at a constant rate of 2 meters per second. Which equation could be
used to determine the height h of the glider after t seconds of descent?

Given:

Consider the complete question is "Which expression is equivalent to [tex]8\sqrt{6}[/tex]? A. [tex]\sqrt{14}[/tex]  B.  [tex]\sqrt{748}[/tex] C. [tex]\sqrt{196}[/tex] D. [tex]\sqrt{384}[/tex]".

To find:

The equivalent expression.

Solution:

We have,

[tex]8\sqrt{6}[/tex]

It can be written as

[tex]=(\sqrt{8})^2\sqrt{6}[/tex]

[tex]=\sqrt{8}\cdot \sqrt{8}\codt \sqrt{6}[/tex]

[tex]=\sqrt{8\cdot 8\cdot 6}[/tex]          [tex][\because \sqrt{a}\sqrt{b}=\sqrt{ab}][/tex]

[tex]=\sqrt{384}[/tex]

So, [tex]\sqrt{384}[/tex] is equivalent to [tex]8\sqrt{6}[/tex].

Therefore, the correct option is D.

Answer:

y+5=2(x-3)

Step-by-step explanation:

y-y1=m(x-x1)

The linear function passing through points  (3,-5) and (5,- 1) is given by:

y = 2x+ 13.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

y = mx + b

In which the coefficients are described as follows:

• The coefficient m is the slope of the function, representing the rate of change of the function.

• The coefficient b is the y-intercept of the function, representing the value of y when the function crosses the y-axis(x = 0).

For this problem, the two points that form the function are given as follows:

(3,-5) and (5,- 1)

The slope is given by change in y divided by change in x, hence it is given by:

m = (y₂-y₁)/ (x₂-x₁)

m = (-1+5)/(5-3)

m = 4/2

m = 2

Then:

y = 2x + b.

When x = 3, y = -5, hence we can find the intercept b of the function as follows:

3 = 2 x -5 + b

b = 3+ 10

b = 13

Hence the equation is:

y = 2x+ 13

More can be learned about linear functions :

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Answer: 891.06

Step-by-step explanation:

add 800.54 by 90.52

Answer:

x=1/2 or x=−1

Step-by-step explanation:

The solution to the quadratic equation is x = -1 or 1/2

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

where ( b² - 4ac ) is the discriminant

when ( b² - 4ac ) is positive, we get two real solutions

when discriminant is zero we get just one real solution (both answers are the same)

when discriminant is negative we get a pair of complex solutions

Given data ,

Let the quadratic equation be represented as A

Now , the value of A is

2x² + x - 1 = 0   be equation (1)

And , roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

On simplifying , we get

x = [ -1 ± √ ( 1 )² - ( 4 ) ( 2 ) ( -1 ) ] / 4

x =  [ -1 ± √ ( 1 + 8 ) ] / 4

x = [ -1 ± 3 ] / 4

So , the two values of x are

x = ( -1 - 3 ) / 4

x = -1

And , x = ( -1 + 3 ) / 4

x = 1/2

Therefore , the values of x are -1 or 1/2 respectively

Hence , the roots of the quadratic equation are -1 or 1/2 respectively

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Answer:

A or the first one

Step-by-step explanation:

Only answer that has dialate (which makes the triangle bigger) and the other answers have translate which just move the triangle so you can eliminate them quickly

Answer:

Step-by-step explanation:im sorry im only 11

y=5x−2 , y=−2x+5

Eliminate the equal sides of each equation and combine.

5x−2=−2x+5

Move all terms containing

x

to the left side of the equation.

Tap for more steps...

7x−2=5y=−2x+5

Move all terms not containing

x

to the right side of the equation.

Tap for more steps...

7x=7y=−2x+5

Divide each term by

7

and simplify.

Tap for more steps...

x=1y=−2x+5

Replace all occurrences of x in y=−2x+5 with 1.

x=1y=−2⋅1+5

Simplify −2⋅1+5.

Tap for more steps...

x=1y=3

The solution to the system of equations can be represented as a point.(1,3)

The result can be shown in multiple forms.

Point Form:(1,3)

Equation Form:

x=1,y=3

Answer:

x = 1/9

Step-by-step explanation:

we want to solve the proportion;

we simply cross multiply the values

Mathematically, that will be calculated as follows;

6x * 21 = 2 * 7

6x * 21 = 14

6x = 14/21

2(3x) = 2(7/21)

3x = 7/21

3x = 1/3

x = 1/3/3

x = 1/9

Answer:

1

Step-by-step explanation:

multiply 25 by .04

Answer:

l = 31 cm

w = 27 cm

Step-by-step explanation:

l = w + 4

p = 2l + 2w

p = 2(w+4) + 2w

116 = 2(w+4) + 2w

116 = 2w + 8 + 2w

116 = 4w + 8

108 = 4w

27 = w

l = w + 4

l = 27 + 4

l = 31

hope this helps, pls mark brainliest :D

Answer:

w=18 L=40

Step-by-step explanation:

 w

---------

|         |

|         | 2w+4

|         |

---------

2(2w+4)+ 2(w)=116

6w+8=116

6w=108

w=18

2(18)+4

36+4

40

Answer:

D represents a function pretty sure I had a problem like this as well

Step-by-step explanation:

Answer:

60%

Step-by-step explanation:

yes

Answer:

No solution

Step-by-step explanation:

-(4x - 7) + 1 = 2(5 - 2x)

-4x + 7 + 1 = 10 - 4x

-4x + 8 = 10 - 4x

-4x + 8 ≠ -4x + 10

No solution

Answer:

I feel so bad, would you mind telling me what happened to her mother..?

      ~isimpfortnpu

Answer:

5 inches per hour

Step-by-step explanation:

Answer:

1.5 inches per hour

Step-by-step explanation:

Answer:

C. y=2.5x+3

Step-by-step explanation:

Answer:i i think Brenda 10

Step-by-step explanation:

Age problems are the algebra word problem which deals with the ages of people in the present time.

Given information-

Abigail is 5 years older than Brenda.

Brenda is twice as old as Carly.

The total of their ages is less than 40.

Age problems are the algebra word problem which deals with the ages of people in the present time.

Suppose Abigail is A, Brenda is B and Carly is C years old.

As Abigail is 5 years older than Brenda. Thus,

[tex] A=B+5[/tex]                .... 1

As Brenda is twice as old as Carly. Thus,

[tex]C=\dfrac{B}{2} [/tex]                    ..... 2

As the total of their ages is less than 40.

[tex]A+B+C=40[/tex]

Keep the values of A and C from the equation 1 and 2 in the above equation,

[tex]\begin{aligned}\\ B+5+B+\dfrac{B}{2} &=40\\ 2B+\dfrac{B}{2} &=35\\ \dfrac{4B+B}{2}&=35\\ B&=\dfrac{35}{5} \times2\\ B&=14\\ \end[/tex]

Thus the Brenda is 14 year old. As the Abigail is 5 years older than Brenda. Thus the age of the Abigail is,

[tex]A=14+5\\ A=19[/tex]

Thus the Abigail is 19 year old.

Learn more about the age related problem here;

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Answer:

5

Step-by-step explanation:

hope this helps!!!

Answer:

Gross income is money earned before taxes are taken from a paycheck

Step-by-step explanation:

Gross income is money earned before taxes are taken from a paycheck

Gross income refers to the total amount of money earned by an individual over a specific period of time usually a year before any deductions such as taxes is made.

Gross income includes income earned from all sources. It can also be called Gross pay on a paycheck.

For example, if an individual earns $100 in a year and is expected to pay a tax of 2%. The gross income is $100 before tax is deducted

Answer:

-8

Step-by-step explanation:

3/4x=-18+12

x=-6×4/3

x=-8

Answer:

x = -8

Step-by-step explanation:

[tex] \frac{3}{4} x - 12 = - 18[/tex]

i) multiply both sides of equation with 4

[tex] 4(\frac{3}{4} x - 12) = 4( - 18)[/tex]

[tex](4 \times \frac{3}{4} x) + (4 \times ( - 12)) = - 72[/tex]

[tex]3x - 48 = - 72[/tex]

ii) move -48 to the right-hand side and change its sign

[tex]3x = - 72 + 48[/tex]

iii) calculate the sum

[tex]3x = - 24[/tex]

iv) divide both sides of equation with 3

[tex] \frac{3x}{3} = \frac{ - 24}{3} [/tex]

[tex]x = - 8[/tex]

Answer:

D) g(x) = 2x-8

Step-by-step explanation:

Answer:

−5(−6y−3w+2)

=(−5)(−6y+−3w+2)

=(−5)(−6y)+(−5)(−3w)+(−5)(2)

=30y+15w−10

=15w+30y−10

Answer:

a) x=3

y=6*3+4

=22

b) x=4

y=6*4+4

=24

c) x=6

y=6*6+4

=40

d) x=7

y=6*7+4

=46

Answer:

X .

-1 | 2

-11-1

-11-4

0 3

2 1-1

-13

0

0

-4-1

--3 0

-1 2

-1 1

0 3

2-5

0 0

2

2

3

3

A. III

B.IV

C.

D

1\

Step-by-step explanation:

Answer:

2 years

Step-by-step explanation:

Let us take the time period be t .

And , we know formula of SI as ,

[tex]\boxed{SI = \frac{PRT}{100}}[/tex]

[tex]\implies Rs 810 = \dfrac{Rs 9000 \times 4.5 \times t }{100}\\\\\implies t = \dfrac{810 \times 100 }{9000\times 4.5 } \\\\\underline{\boxed{\red {\implies Time = 2 \ years }}}[/tex]

algebra.............

Answer:

Step-by-step explanation:

s₁ = s₂ = x       {the distance from A to B}

s = s₁ + s₂ = x + x = 2x      {the distance of the round trip}

t = t₁ + t₂               {the time of the round trip}

v₁ = 30 mph      

v₂ = 65 mph

t₁ = s₁/v₁ = x/30 h       {the time of trip from A to B}

t₂ = s₂/v₂ = x/65 h      {the time of trip from B to A}

The average speed:

[tex]v=\dfrac st=\dfrac{2x}{\frac x{30}+\frac x {65}}=\dfrac{2x}{x(\frac 1{30}+\frac1 {65})}=\dfrac{2}{\frac{13}{390}+\frac6{390}}=2\cdot\frac{390}{19}=41.05263...\approx41[/tex]