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3 years ago

Use the figure to determine the intersection of planes EAB and EFG

Mathematics

1 answer:

vredina [299]3 years ago

7 0

Answer:

Option (3). EF

Step-by-step explanation:

From the figure attached,

Plane defined by EAB can be represented by the face EABF of the square prism also.

Similarly, plane EFG can be represented by the face EFGH of the prism.

Now these sides EABF and EFGH are joining each other at the edge EF of the cuboid.

Therefore, intersection of the given planes is EF.

Option (3) will be the answer.

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6.75 hours

Step-by-step explanation:

162 divided 24

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Math Test Quiz Scores: 16, 20, 22, 25, 25, 20, 15, 18, 19, 20, 23, 17 Find the Range

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The range is 10

Step-by-step explanation:

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Line AB passes through points A(−6, 6) and B(12, 3). If the equation of the line is written in slope-intercept form, y=mx+b, the

san4es73 [151]

Answer:

We get value of the value of b = 5

Step-by-step explanation:

Line AB passes through points A(−6, 6) and B(12, 3). If the equation of the line is written in slope-intercept form, y=mx+b, then m=m equals negative StartFraction 1 Over 6 EndFraction.. What is the value of b?

We have slope m: $m=-\frac{1}{6}$

We need to find value of b (y-intercept)

Using the point A(-6,6) and slope $m=-\frac{1}{6}$ we can find b.

Using slope-intercept form, putting values of m and x and y we get the value of b:

$y=mx+b\\6=-\frac{1}{6}(-6)+b\\6=1+b\\b=6-1\\b=5$

So, we get value of the value of b = 5

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2 years ago

67. The line contains the point (4,0) and is parallel to the line defined by 3x = 2y.

olganol [36]

Answer:

$y=\frac{3}{2} x-6$

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form:

$y=mx+b$ where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)

Parallel lines will always have the same slope but different y-intercepts.

1) Determine the slope of the parallel line

Organize 3x = 2y into slope-intercept form. Why? So we can easily identify the slope, m.

$3x = 2y$

Switch the sides

$2y=3x$

Divide both sides by 2 to isolate y

$\frac{2y}{2} = \frac{3}{2} x\\y=\frac{3}{2} x$

Now that this equation is in slope-intercept form, we can easily identify that $\frac{3}{2}$ is in the place of m. Therefore, because parallel lines have the same slope, the parallel line we're solving for now will also have the slope $\frac{3}{2}$ . Plug this into $y=mx+b$ :

$y=\frac{3}{2} x+b$

2) Determine the y-intercept

$y=\frac{3}{2} x+b$

Plug in the given point, (4,0)

$0=\frac{3}{2} (4)+b\\0=6+b$

Subtract both sides by 6

$0-6=6+b-6\\-6=b$

Therefore, -6 is the y-intercept of the line. Plug this into $y=\frac{3}{2} x+b$ as b:

$y=\frac{3}{2} x-6$

I hope this helps!

7 0

2 years ago

Guyssss I’m confuseddddd

rosijanka [135]

Answer:

0 > -5

Step-by-step explanation:

9w - 4w + 6 > 1 + 5w

add the similar variables

5w + 6 > 1 + 5w

subtract 6 from both sides

5w + 6 > 1 + 5w

-6 -6

5w > 5w - 5

simplify

5w > 5w -5

subtract 5 w from both sides

5w > 5w -5

-5w -5w

simplify

= 0 > -5

4 0

2 years ago