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2 years ago

Which two numbers both round to 1,500 when rounded to the nearest hundred?

Mathematics

1 answer:

Artemon [7]2 years ago

7 0

Answer:

Step-by-step explanation:

Just take it lol

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Using the quadratic formula to solve 11x2 – 4x = 1, what are the values of x? StartFraction 2 Over 11 EndFraction plus-or-minus

slamgirl [31]

Answer:

$x=\frac{2}{11}\pm\frac{\sqrt{15}} {11}$

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$11x^{2} -4x=1$

equate to zero

$11x^{2} -4x-1=0$

$a=11\\b=-4\\c=-1$

substitute in the formula

$x=\frac{-(-4)\pm\sqrt{-4^{2}-4(11)(-1)}} {2(11)}$

$x=\frac{4\pm\sqrt{60}} {22}$

$x=\frac{4\pm2\sqrt{15}} {22}$

$x=\frac{2\pm\sqrt{15}} {11}$

$x=\frac{2}{11}\pm\frac{\sqrt{15}} {11}$

therefore

StartFraction 2 Over 11 EndFraction plus-or-minus StartFraction StartRoot 15 EndRoot Over 11 EndFraction

7 0

2 years ago

Read 2 more answers

Find the slope and y-intercept -2y=6(5-3x) Please show work

Montano1993 [528]

Y intercept: 0,-15 or just -15
Slope: 9

4 0

2 years ago

Given: Circle X with a Radius r and circle Y with radius s Prove: Circle x is similar to circle y

lana [24]

Two figures are similar if one is the scaled version of the other.

This is always the case for circles, because their geometry is fixed, and you can't modify it in anyway, otherwise it wouldn't be a circle anymore.

To be more precise, you only need two steps to prove that every two circles are similar:

Translate one of the two circles so that they have the same center
Scale the inner circle (for example) unit it has the same radius of the outer one. You can obviously shrink the outer one as well

Now the two circles have the same center and the same radius, and thus they are the same. We just proved that any two circles can be reduced to be the same circle using only translations and scaling, which generate similar shapes.

Recapping, we have:

Start with circle X and radius r
Translate it so that it has the same center as circle Y. This new circle, say X', is similar to the first one, because you only translated it.
Scale the radius of circle X' until it becomes $s$ . This new circle, say X'', is similar to X' because you only scaled it

So, we passed from X to X' to X'', and they are all similar to each other, and in the end we have X''=Y, which ends the proof.

8 0

2 years ago

Read 2 more answers

On a map of the united states , 24 centimeters represent 18 miles .how many centimeters reprsent one mile. How long is the line

VladimirAG [237]

1.33 equals one mile and 24 centimeters. Also 18 miles is the actual distance. I hope this helped but i was a little confused but i am pretty sure the answers are right

3 0

2 years ago

He slopes of lines PQ and P’Q’ can be determined using the formula m = StartFraction v 2 minus v 1 Over x 2 minus x 1 EndFractio

Kryger [21]

Answer:

-1

Step-by-step explanation:

The product of these slopes is -1 ... when dealing with perpendicularity

8 0

1 year ago