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Damm [24]
2 years ago
10

Identify the equations as parallel lines, perpendicular lines, or neither.

Mathematics
2 answers:
Alex2 years ago
4 0

Answer:

B. Parallel

Step-by-step explanation:

Equation 1 simplified:   y = 3x+7

Equation 2 simplified: y = -x/3-3

The slopes are completely different, ruling out the possibility of the lines being parallel.

But we also see the slopes of the equations are opposite and negative to each other. Making the lines perpendicular.

Romashka-Z-Leto [24]2 years ago
3 0

Answer:

perpendicular

Step-by-step explanation:

slopes are opposite reciprocals

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Solve the system of equations using substitution and Elimination
juin [17]
<h2>Greetings!</h2>

Answer:

y = \frac{-18}{7} and x = \frac{50}{7}

Step-by-step explanation:

To solve simultaneous equations, you need to have the number in front of both x's or y's the same. (signs doesn't matter)

To get -x to -10x we simply  need to multiply the first equation by 10:

-x * 10 = -10x

-9y * 10 = -90y

16 * 10 = 160

-10x - 90y = 160

Now we can add the two equations:

-10x + 10x = 0

-90y + 20y = -70y

160 + 20 = 180

-70y = 180

70y = -180

7y = -18

y = \frac{-18}{7}

Now plug \frac{-18}{7} into the second equation:

10x + 20(\frac{-18}{7}) = 20

10x - \frac{360}{7} = 20

Move the \frac{360}{7} over to the other side, making it a positive:

10x = 20 + \frac{360}{7}

10x = \frac{500}{7}

Divide both sides by 10:

x = \frac{50}{7}

So y = \frac{-18}{7} and x = \frac{50}{7}


<h2>Hope this helps!</h2>
5 0
3 years ago
The volume of a cube is 125 cm^3. The area of a square is 64 cm^2. How does the lenghth of one edge of the cube compare to the l
anzhelika [568]

Answer:

One edge of the cube is 5 cm, one edge of the square is 8 cm, so the edge of the cube is 3 cm shorter than the edge of the square.

Step-by-step explanation:

<h3 /><h3>The volume of the cube is found by the formula </h3><h2>V = s³, </h2><h3>where s is the side length (called the edge in this problem)</h3><h3>Since V = 125 cm³, we can take the cube root of 125 to find the edge length.</h3><h3>The cube root of 125 is 5, ( 5³ = 125)</h3><h3>So the edge of the cube is 5 cm</h3><h3 /><h3>The are of a square is found by the formula </h3><h2>A = s² ,  </h2><h3>where s is the side length (called the edge in this problem) </h3><h3>Since A = 64 cm², we can take the square root of 64 to find the edge length.</h3><h3>The square root of 64 is 8  (8² = 84)</h3><h3>So the edge of the square is 8cm</h3><h3 /><h3>Comparing the two edges tells us that the edge of the cube is 3cm shorter than the edge of the square.</h3>
8 0
3 years ago
One half multiplied by four sevenths
bagirrra123 [75]

Answer:

2/7.

Step--step explanation:

1/2 * 4/7.

Multiply the numerators and the denominators:

= 1*4 / 2*7

= 4 / 14    Now  divide numerator and denominator by 2:

=  2/7.

7 0
3 years ago
Read 2 more answers
Solve this equation<br>5(-7x-3)- 8x=-230​
Brut [27]

Simplifying

5(7x + -3) = 230

Reorder the terms:

5(-3 + 7x) = 230

(-3 * 5 + 7x * 5) = 230

(-15 + 35x) = 230

Solving

-15 + 35x = 230

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '15' to each side of the equation.

-15 + 15 + 35x = 230 + 15

Combine like terms: -15 + 15 = 0

0 + 35x = 230 + 15

35x = 230 + 15

Combine like terms: 230 + 15 = 245

35x = 245

Divide each side by '35'.

x = 7

Simplifying

x = 7

5 0
3 years ago
Please help me ASAP <br> Please help
son4ous [18]

9514 1404 393

Answer:

  5 cm

Step-by-step explanation:

The kite is symmetrical about the long axis, so the height of each of the triangles is half the overall width of the kite. (10 cm/2 = 5 cm)

The height of the triangle <em>h</em> is 5 cm.

3 0
2 years ago
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