Did I pick the letters correctly and what do the correct ones equal if they are not correct

Y = 6x - 4 y = -x + 3

likoan [24]

Answer:

(1, 2)

Step-by-step explanation:

Subtract the second equation from the first:

(y) -(y) = (6x -4) -(-x +3)

0 = 7x -7 . . . . . simplify

0 = x - 1 . . . . . . divide by 7

1 = x . . . . . . . . . add 1

y = -1 +3 = 2 . . . substitute into the second equation

The solution is (x, y) = (1, 2).

4 0

3 years ago

The ratios of the measure of the sides of a triangle is 4:10:7. Find the length of each side of the perimeter of the triangle is

dangina [55]

The given ratio of the sides of the triangles is 4:10:7. Let the sides be 4x, 10x and 7x .

And given perimeter is 252 meters .

Perimeter is the sum of all sides. So we get

$4x+10x+7x=252 \\ 21x = 252$

Dividing both sides by 21

$x = 12$

So the sides are

$4*12=48 meters \\ 10*12=120 meters \\ 7*12= 84 meters$

8 0

3 years ago

Read 2 more answers

Pythagoras was born about 582 BC Isaac Newton was born in 1643 AD how many years apart were they born?

SSSSS [86.1K]

2225 years. Since 582 BC is 582 years away from zero and 1643 is 1643 units away from zero, you add them together. Think of it like a number line.

3 0

3 years ago

Read 2 more answers

Some number was divided into 104.13. This quotient was multiplied by 4, after which the resulting product was added to 5. Given

SVEN [57.7K]

Answer:

The initial number is -1218.321.

Step-by-step explanation:

Let the initial number be 'x'.

The number 'x' is divided into 104.13.

So, we divide the number 'x' by 104.13. This gives,

$\dfrac{x}{104.13}$

Now, the quotient is multiplied by 4. So, this means we need to multiply 4 to the fraction above. This gives,

$\dfrac{x}{104.13}\times 4\\\\\frac{4x}{104.13}$

Now, 5 is added to the result. This gives,

$\frac{4x}{104.13}+5$

Now, as per question:

$\frac{4x}{104.13}+5=-41.8$

Now, solving for 'x', we add -5 both sides. This gives,

$\frac{4x}{104.13}+5-5=-41.8-5\\\\\frac{4x}{104.13}=-46.8\\\\4x=-46.8\times 104.13\\\\4x=-4873.284\\\\x=\frac{-4873.284}{4}=-1218.321$

Therefore, the initial number is -1218.321.

6 0

3 years ago

Can anyone help me to understand how to solve coordinate proofs in Geometry?????

nataly862011 [7]

The coordinate proof is a proof of a geometric theorem which uses "generalized" points on the Cartesian Plane to make an argument.The method usually involves assigning variables to the coordinates of one or more points, and then using these variables in the midpoint or distance formulas .For example, the following is a coordinate proof of the Triangle Midsegment Theorem , which states that the segment connecting the midpoints of two sides of a triangle is parallel to the third side and exactly half the length.Without loss of generality, we can assume that one side of the triangle lies on the xx -axis with one vertex at (0,0)(0,0) and the other vertex at(a,0)(a,0).Let the third vertex have the coordinates (b,c)(b,c) . We can assume without loss of generality that this third vertex lies in the first quadrant. (If it doesn't, you can just reflect the triangle over the xx - and/or yy -axis until it does.)

Example:

To Prove: XY¯¯¯¯¯¯XY¯ is parallel to PR¯¯¯¯¯PR¯ and

XY=12PRXY=12PR

Proof:

Using the midpoint formula , the coordinates of the midpoints XX and YY are

X(0+b2,0+c2)=X(b2,c2)Y(a+b2,0+c2)=Y(a+b2,c2)X(0+b2,0+c2)=X(b2,c2)Y(a+b2,0+c2)=Y(a+b2,c2)

First note that the slope is 00 , since

m=riserun =(c2−c2)(b2−(a+b2)) =0(b2−(a+b2)) =0m=riserun =(c2−c2)(b2−(a+b2)) =0(b2−(a+b2)) =0

So, XY¯¯¯¯¯¯XY¯ is parallel to PR¯¯¯¯¯PR¯ .

Now, compare the lengths of the two segments.

XY=a+b2−b2 =a2PR=a−0 =aXY=a+b2−b2 =a2PR=a−0 =a

So,

XY=12PRXY=12PR

Thanks to google for example

hope this helps

8 0

3 years ago