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Sunny_sXe [5.5K]

3 years ago

6

Can someone please help me?!

1 answer:

Bumek [7]3 years ago

4 0

If the diagonals of a parallelogram are perpendicular where each edge consists of a right angle, the resulting shape is a rectangle.

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write an equation in slope intercept form for the line that passes through (4, -4) and is parallel to 3x+4x=2y-9

photoshop1234 [79]

Answer:

$\large\boxed{y=\dfrac{7}{2}x-18}$

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

Convert the equation of a line 3x + 4x = 2y - 9 to the slope-intercept form:

$3x+4x=2y-9$

$7x=2y-9$ <em>add 9 to both sides</em>

$7x+9=2y$ <em>divide both sides by 2</em>

$\dfrac{7}{2}x+\dfrac{9}{2}=y\to y=\dfrac{7}{2}x+\dfrac{9}{2}$

Parallel lines have the same slope. Therefore we have the equation:

$y=\dfrac{7}{2}x+b$

Put the coordinates of the point (4, -4) to the equation:

$-4=\dfrac{7}{2}(4)+b$

$-4=7(2)+b$

$-4=14+b$ <em>subtract 14 from both sides</em>

$-18=b\to b=-18$

Finally we have the equation:

$y=\dfrac{7}{2}x-18$

8 0

4 years ago

After the lunch rush, Ellen had used up all the small containers and half the large containers. Which of these expressions can b

Sergeu [11.5K]

Answer:

$Remaining\ containers=\frac{y}{2}\\\\Where\ y\ is\ the\ number\ of\ large\ containers.$

Step-by-step explanation:

Let number of small containers $=x$

Let number of large containers $=y$

Total containers $=x+y$

<em>Used Containers:</em>

Small containers used $=x\ \ \ (as\ all\ small\ containers\ used)$

Larger containers used $=\frac{y}{2}\ \ \ \ \ \ (half\ of\ the\ large\ containers\ used)$

Total containers used $=x+\frac{y}{2}$

Remaining containers=total containers-used containers

$Remaining\ containers=(x+y)-(x+\frac{y}{2})=\frac{y}{2}\\\\\\\\If\ small\ containers(x)=30\\\\Large\ containers(y)=20\\\\total\ containers(x+y)=30\\\\Remaining\ containers=30-10-\frac{1}{2}\times 20$

6 0

3 years ago

Which choice should i pick<br> A.0.27<br><br> B.0.25<br><br> C.0.07<br><br> D.0.33

Vladimir79 [104]

Answer:

B.0.25

Step-by-step explanation:

7 0

3 years ago

Simplify (3/5x-5)(3/5x+5)

Whitepunk [10]

Answer:

9/25x^2 -25

Step-by-step explanation:

3 0

3 years ago

Write an equation of the line that passes through (1, −1) and is perpendicular to the line y=12x−3.

Burka [1]

Answer:

y=(-1/12)x+(-13/12)

Step-by-step explanation:

6 0

3 years ago