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1 year ago

In this diagram, which equation could you prove to be true in order to conclude that the lines are parallel?

Mathematics

2 answers:

yan [13]1 year ago

7 0

Answer: Hey, so the answer is the second choice, b/a=c/d. I just took the quiz, it's correct.

Y_Kistochka [10]1 year ago

6 0

<span>b/a=c/d Two lines are parallel to each other if they have the same slope. So let's look at the options and see which one matches that statement. b/aâ‹…c/d=â’1 * This is checking to see if the two lines are perpendicular to each other. Almost the exact opposite of parallel. So this is the wrong answer. b/a=c/d * b/a is a legitimate slope. c/d is also a good slope. And they're being checked to see if they're equal to each other. So this is the correct answer. But let's see if the next two options will give us a chuckle or two. b/a=d/c * b/a is OK. d/c almost looks ok, check the figure. And d/c is NOT a slope. The slope is delta Y over delta X. And d/c is delta X over delta Y. The inverse of the slope. So comparing those two values is meaningless. So it's a wrong answer. b/aâ‹…d/c=â’1 * And they're trying the inverse of the slope trick again. WRONG. And they're checking if it's perpendicular. Also wrong. So definitely not a good choice.</span>

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The BJ Electrical Company needs to hire master electricians and apprentices for a one week project. Master electricians receive

Stells [14]

Answer:

The BJ Electrical Company

The BJ Electrical Company should hire:

8 master electricians and

22 apprentices

in order to accomplish the project and still meet the contract safety requirements.

Step-by-step explanation:

Number of workers needed = 30

Class of workers:

Master electrician, with per week salary = $750 per worker

Apprentices, with per week salary = $350 per worker

Number of inspection hours required from each master electrician = 3 hours

Total inspection hours for the project = 25 hours

Average number of master electricians needed = 25/3 = 8.333 = 8

Number of each type of worker needed:

Master electricians = 8

Apprentices = 22 (30 - 8)

Cost to be incurred for workers:

Master electricians = $6,000 (8 * $750)

Apprentices = 7,700 (22 * $350)

Total labor cost = $13,700

5 0

1 year ago

A company surveyed 100 newer employees. These employees were chosen at random from the company's database, and only employees wi

Harman [31]

Answer:

A, E

Step-by-step explanation:

The question is not biased. It does not use positive or negative language. However, the sample is biased because it only represents new employees, not the whole company.

3 0

2 years ago

Find the circumference of the sphere whose volume is 1375/21 cu. cm

Anit [1.1K]

Answer:

The circumference of the sphere is $C=5\pi\ cm$ or $C=15.7\ cm$

Step-by-step explanation:

step 1

Find the radius of the sphere

we know that the volume of the sphere is equal to

$V=\frac{4}{3}\pi r^{3}$

we have

$V=\frac{1,375}{21}\ cm^{3}$

substitute and solve for r

$\frac{1,375}{21}=\frac{4}{3}\pi r^{3}$

assume

$\pi =3.14$

$r^{3}=\frac{1,375}{21}(\frac{3}{4*3.14})$

$r=2.5\ cm$

step 2

Find the circumference

The circumference is equal to

$C=2\pi r$

we have

$r=2.5\ cm$

substitute

$C=2\pi(2.5)$

$C=5\pi\ cm$

assume

$\pi =3.14$

$C=5(3.14)=15.7\ cm$

8 0

1 year ago

Why does multiplying a + bi by the complex conjugate a -bi eliminate I from the expression

navik [9.2K]

<u>EXPLANATION</u>

The reason is that

$i^2=-1$

If we multiply $a+bi$ by its conjugate $a-bi$

We obtain;

$(a+bi)(a-bi)$

This is difference of two squares so we obtain;

$(a+bi)(a-bi)=a^2-(bi)^2$

This further gives us,

$(a+bi)(a-bi)=a^2-b^2i^2$

Since the $i^2=-1$ , we substite to get;

$(a+bi)(a-bi)=a^2-b^2(-1)$

The $i$ is now eliminated and we get,

$(a+bi)(a-bi)=a^2+b^2$

6 0

1 year ago

If you apply the changes below to the quadratic parent function, f(x) = x2, what is the equation of the new function? Shift 3 un

Alex17521 [72]

To apply the changes to the equation of a vertical stretch of 4 and a translation of 3 units to the right, as well as the correct answer would be choice B.

The reason for this is when you apply a vertical stretch, because it changes the y-values (which causes it to vertically stretch or appear skinnier when graphed), you would multiply 4 to f(x) which would look like 4x^2.

Then, since you have a reflection over the x-axis, you must multiply a -1 to f(x) to reflect it over the x-axis which would result in -4x^2.

Finally, it also asks to shift the graph right 3 which by moving it right, you change the x values meaning you will perform f(x-3) to achieve this (subtract the value from x when you move right, and add the value to x when you move left).

This therefore results in your answer, the new graph would be
g(x)= -4(x-3)^2 or choice B.

8 0

2 years ago