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3 years ago

12

Solve the system of equations -x - 2y = 11 and -3x - 2y = -7

1 answer:

rjkz [21]3 years ago

4 0

Answer: (9,-10) or x=9...y=-10

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PLEASE HELP ASAP THIS IS THE LAST QUESTION AND I AM STUCK!!

Varvara68 [4.7K]

<h3>Answer: B) 7 units</h3>

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Explanation:

The y coordinates of the two points are the same, so we can subtract the x coordinates and apply absolute value

|R - T| = |-6 - 1| = |-7| = 7

Or we can say

|T - R| = |1 - (-6)| = |1 + 6| = |7| = 7

Either way, the two points are 7 units apart.

You could use the distance formula to get the same answer, but that's definitely overkill in my opinion. The trick mentioned above also could work if the x coordinates were the same, but the y coordinates were different. In any other case, you would have to use the distance formula.

5 0

3 years ago

Can somebody tell me how to solve these kind of problems?

Ugo [173]

Answer: 918km^2

Step-by-step explanation:

$area(a): 1700km^2\\percentage(p): 5.75 = \frac{5.75}{100}=0.0575\\years(y): 8$

Let x be the new dimension of the area;

$x=a-(a*p*y)$

$x=(1700km^2)-(1700km^2*0.0575*8)\\x=1700km^2-782km^2\\x=918km^2$

6 0

3 years ago

K is the midpoint of PQ, P has

Pachacha [2.7K]

Answer:

Coordinates of Q $(x_2,y_2) \:are\: \mathbf{(7,16)}$

Option D is correct option.

Step-by-step explanation:

We are given:

K is the midpoint of PQ

Coordinates of P = (-9,-4)

Coordinates of K = (-1,6)

We need to find coordinates of Q $(x_2,y_2)$

We will use the formula of midpoint: $Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

We are given midpoint K and $x_1,y_1$ the coordinates of P we need to find $x_2,y_2$ the coordinates of Q.

$Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\\(-1,6)=(\frac{-9+x_2}{2},\frac{-4+y_2}{2})\\$

Now, we can write

$-1=\frac{-9+x_2}{2}, 6=\frac{-4+y_2}{2}\\Simplifying:\\-2=-9+x_2\:,\: 12=-4+y_2\\-2+9=x_2\:,\: 12+4=+y_2\\x_2=7\:,\:y_2=16$

So, we get coordinates of Q $(x_2,y_2) \:are\: \mathbf{(7,16)}$

Option D is correct option.

6 0

3 years ago

A triangle has side lengths of (7.8v+2.6)(7.8v+2.6) centimeters, (5.3v+4.5)(5.3v+4.5) centimeters, and (2.4w-6.7)(2.4w−6.7) cent

Citrus2011 [14]

Given:

A triangle has side lengths of (7.8v+2.6) centimeters, (5.3v+4.5) centimeters, and (2.4w-6.7) centimeters.

To find:

The expression which represents the perimeter, in centimeters, of the triangle.

Solution:

We know that

Perimeter of a triangle = Sum of length of all sides of the triangle

$Perimeter=(7.8v+2.6)+(5.3v+4.5)+(2.4w-6.7)$

Now, combine like terms.

$Perimeter=(7.8v+5.3v)+(2.4w)+(2.6+4.5-6.7)$

$Perimeter=13.1v+2.4w+0.4$

Therefore, the expression for perimeter, in centimeters, of the triangle is $13.1v+2.4w+0.4$ .

4 0

2 years ago

Sarah hopes to be 5 feet tall by her next birthday. Right now, she is 148 centimeters tall. how many more centimeter does Sarah

OlgaM077 [116]

Sarah needs 4.4 centimeters more to reach 5 feet before her next birthday.

8 0

2 years ago

Read 2 more answers