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3 years ago

Please help me solve for x

Mathematics

1 answer:

ratelena [41]3 years ago

7 0

Hello from MrBillDoesMath!

Answer:

sqrt(6)

Discussion:

The triangle, while not indicated, appears to be a right triangle (i.e. has a 90 degree angle). If so, from the Pythagorean theorem,

x^2 + 3^2 = ( sqrt(15) ) ^ 2 =>

x^2 + 9 = 15 => ( subtract 9 from both sides)

x^2 = 15 - 9 = 6 => (take the square root of both sides)

x= sqrt(6)

Regards,

MrB

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Y = x2 - 6x-16 A. Graph A B. Graph B C. Graph C D. Graph D

Ne4ueva [31]

Answer:

it's C

Step-by-step explanation:

-16 means where the line crosses y axis

5 0

2 years ago

Please answer right away

Ilya [14]

Answer:

6.13

Step-by-step explanation:

Using Sine Law we know that

$\dfrac{a}{SinA}=\dfrac{b}{SinB}=\dfrac{c}{SinC}$

Using your figure let's assign sides and angles:

A=? B = 60° C = 70°

a = 5 b = ? c = x

If we put that into our formula:

$\dfrac{5}{Sin?}=\dfrac{?}{Sin60}=\dfrac{x}{Sin70}$

Notice that we have too many unknowns. We need to complete at least one ratio to do this, so how do we do this?

Notice we have 2 angles given, so we solve for the third angle. The sum of all angles in any triangle is always 180°

∠A + ∠B + ∠C= 180°

∠A + 60° + 70° = 180°

∠A + 130° = 180°

∠A = 180° - 130°

∠A = 50°

Now we can use this to solve for x.

$\dfrac{5}{Sin50}=\dfrac{x}{Sin70}\\\\\dfrac{(5)(Sin70)}{Sin50} = x\\\\\dfrac{4.6985}{0.7660}=x\\\\6.1338 =x$

So the closest answer would be 6.13

5 0

3 years ago

Read 2 more answers

Can someone help me please

aleksklad [387]

9514 1404 393

Answer:

IS a parallelogram

Step-by-step explanation:

The slope formula for the slope of the line between points (x1, y1) and (x2, y2) is ...

m = (y2 -y1)/(x2 -x1)

The distance formula for the length of that same line is ...

d = √((x2 -x1)^2 +(y2 -y1)^2)

Here, you're asked to use each of these formulas 4 times, once for each side of the quadrilateral. I find it convenient to let a calculator or spreadsheet do the repetitive calculations. The result is attached.

The attachment shows that opposites sides have the same length and slope, so are parallel. The quadrilateral is a parallelogram. (The two points used in each calculation are the ones on the result line and the line immediately below. That is why point B is copied to the end of the list.)

_____

Additional comments

There are much simpler ways to prove the figure is a parallelogram. My favorite is to add the coordinates of the end points of the diagonals:

B +D = (-2+6, -9-3) = (4, -12)

C +E = (0+4, -5-7) = (4, -12)

These values being the same demonstrates the midpoints of the diagonals are coincident. That will only be the case if the quadrilateral is a parallelogram.

If you must use slope and distance formulas, showing either pair of opposite sides is parallel and have the same length is sufficient to guarantee that the other two sides are also parallel and have the same length. That is, the calculations required in this problem only need to be applied to one pair of opposite sides. (Using a spreadsheet, it's not a lot of extra work to do the calculations for both pairs of opposite sides.)