Equation of line k ?

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

4vir4ik [10]

I hope this helps you

8 0

2 years ago

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Simultaneous equations 5x+y=28 x+y=2

ludmilkaskok [199]

Answer:

Step-by-step explanation:

$5x + y = 28$

$x + y = 8$

Solve the equation for y by moving 'x' to R.H.S and changing its sign

$5x + y = 28$

$y = 2 - x$

Substitute the given value of y into the equation 5x + y = 28

$5x + 2 - x = 28$

Solve the equation for x

Collect like terms

$4x + 2 = 28$

Move constant to R.H.S and change its sign

$4x = 28 - 2$

Subtract the numbers

$4x = 26$

Divide both sides of the equation by 4

$\frac{4x}{4} = \frac{26}{4}$

Calculate

$x = \frac{26}{4}$

Reduce the numbers with 2

$x = \frac{13}{2}$

Now, substitute the given value of x into the equation y = 2 - x

$y = 2 - \frac{13}{2}$

Solve the equation for y

$y = - \frac{9}{2}$

The possible solution of the system is the ordered pair ( x , y )

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Let's check if the given ordered pair is the solution of the system of equation:

plug the value of x and y in both equation

$5 \times \frac{13}{2} - \frac{9}{2} = 28$

$\frac{13}{2} - \frac{9}{2} = 2$

Simplify the equalities

$28 = 28$

$2 = 2$

Since , all of the equalities are true, the ordered pair is the solution of the system.

$(x \:, y \: ) = ( \frac{13}{2} \: , - \frac{9}{2})$

Hope this helps....

Best regards!!

5 0

3 years ago

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Find the perimeter of OQR if OQ=6.5.<br> A.<br> 6.1<br> B.<br> 12.2<br> C.<br> 13<br> D.<br> 19.1

Svetach [21]

ANSWER

The correct answer is 19.1

EXPLANATION

The perimeter of triangle OQR is the sum of the distance around the triangle.

Thus,

$Perimeter=|OQ|+|OR|+|RQ|$

We can observe that two of the angles are equal.

The angles that are equal measures 62° each.

Therefore triangle OQR is an isosceles triangle. This means that

$|OQ|=6.5=|OR|$

Hence,

$Perimeter=6.5+6.5+6.1$

$Perimeter=19.1$ units.

3 0

2 years ago

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Cassidy has 10 feet of string. She uses 5/8 feet of string for each bracelet she makes. Does she have enough string to make 15 b

slava [35]

5/8 * 15 = 9.375000 exactly. The closest number to 9 is 3, which is below 5. This means to round the number down to the number it is closer to. 9.375 is closer to 9 than any other number, so we round it down to 9. Since Cassidy has 10 feet of string, and she uses the same amount for each bracelet, we can assume that she has enough to make 15 bracelets, possibly even 16.

3 0

2 years ago

I will give you brainliest whoever answers correct first !!

Marina86 [1]

Answer:

34.4

Step-by-step explanation:

(54/11) --> ratio of one side of the larger triangle to the smaller one multiplied by 7 = 34.36363636... Rounding it to the nearest tenth is 34.4

5 0

3 years ago