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2 years ago

Solve for x. Leave your answer in the simplest radical form.

Mathematics

1 answer:

MaRussiya [10]2 years ago

7 0

Answer:

x = 2 $\sqrt{5}$

Step-by-step explanation:

'x' can represent the hypotenuse of a right triangle with a base of 4 (11-7) and a height of 2

use Pythagorean Theorem to find 'x':

2² + 4² = x²

4 + 16 = x²

x² = 20

x = $\sqrt{20}$

x = $\sqrt{4}$ · $\sqrt{5}$

x = 2 $\sqrt{5}$

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3 years ago

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The distance from Gillette, New Jersey, to Irvington, New Jersey, is 1 mile more than four times the distance from Irvington to

vivado [14]

Answer:

distance from Irvington to Newark

.= 3 Miles

Step-by-step explanation:

distance from Irvington to Newark.= X

distance from Gillette, New Jersey, to Irvington, New Jersey,= y

Y= 1+4x

total distance from Gillette to Newark

= z

Z= 6x-2

But total distance = x+y

Total distance= x+1+4x

Total distance= 1+5x

1 +5x= 6x-2

1+2= 6x-5x

3= x

distance from Irvington to Newark.= X

distance from Irvington to Newark

.= 3 Miles

distance from Gillette, New Jersey, to Irvington, New Jersey,= 1+4x

distance from Gillette, New Jersey, to Irvington, New Jersey,= 1+4(3)

distance from Gillette, New Jersey, to Irvington, New Jersey,= 1+12

distance from Gillette, New Jersey, to Irvington, New Jersey,= 13 miles

Total distance= 1+5x

Total distance= 1+5(3)

Total distance= 16 miles

7 0

2 years ago

If a polynomial function f(x) has roots 4 - 13 and 5, what must be a factor of f(x)?

Alla [95]

Answer:

I believe its C

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Step-by-step explanation:

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3 years ago

What is 50300000 in standard form

taurus [48]

Answer:

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2 years ago

The line is parallel to y= 2x + 1 and passes through point (-2,-1).

inessss [21]

Answer:

y = 2x + 3

Step-by-step explanation:

To find the equation of a line, you need 2 things:

1) gradient/slope

2) 1 set of x and y coordinates

To find the slope:

If 2 lines are parallel, they have exactly the same gradient.

So, this line will have a slope of 2 as well (the slope of a line is the coefficient of x in the equation).

To find the equation of the line:

Start with this generic equation:

y - y1 = m (x-x1)

We know that:

(x1, y1) -> (-2, -1) and m= 2

So, we can substitute for the equation:

y- (-1) = 2 (x -(-2))

Simplify, by expanding the brackets:

y + 1= 2 (x+2)

y + 1 = 2x + 4

Rearrange for y:

y = 2x + 3

To double check:

1) The coefficient of x is the slope, we have 2x and the slop is 2, so that's correct

2) Sub in x= -2, and you should get y=-1

y = -4 + 3 = -1, so that's correct too

Hope that helped : )

7 0

3 years ago