All categories

3 years ago

Are the graphs of 2x+7y=6 and 7y = 2x +6 parallel? Explain.

1 answer:

7 0

With questions like this (to see if theyre parallel), all you have to do is see if lines have a congruent slope. if yes (ex: 2 and 2), then they are parallel. if the slopes are opposites (ex: 4 and -1/4), then they are perpendicular. If they have no such relation (ex: -3 and 1/7), then they are neither.

with this problem, find the slope by separating the same variable in each equations, like this:

2x + 7y = 6
-2x -2x

7y = -2x + 6

(the second equation is already separated) so now we have

7y = -2x + 6 and 7y = 2x + 6

since -2 does NOT equal 2, these two graphs/lines are NOT parallel.
Hope this helped!

You might be interested in

I have to simplify this. It says assume that all variables in the variable in the denominator are nonzero. Leave your answer in

ra1l [238]

I wish I could help u but I can’t

7 0

3 years ago

4.) Which best describes the relationship between < AFB and < AFD?

MAVERICK [17]

Answer:

C. Supplementary angles

Step-by-step explanation:

Given

<AFB = 72

Required

Relationship of <AFB and <AFD

<AFB and <AFD are on a straight line and angle on a straight line is 180

From the presentation of both angles,

<AFB + <AFD = 180

Substitute 72 for <AFB

72 + <AFD = 180

Make <AFB the subject of formula

<AFD = 180 - 72

<AFD = 108

Since both <AFB and <AFD sums to 180, then they are supplementary angles.

Hence, the relationship between both angles is supplementary angles

5 0

3 years ago

Researchers would like to test if the mean bone mineral density is different for the three different groups. Conduct an ANOVA te

laiz [17]

Answer:

H₀: μ₁ = μ₂= μ₃

Hₐ: At least one of the means is different.

Step-by-step explanation:

Analysis of variance or ANOVA test is used to determine whether the means of different groups are similar or not.

The hypothesis of an ANOVA test for n homogeneous groups is:

$H_{0}: \mu_{1}= \mu_{2}= \mu_{3}...= \mu_{n}\\H_{a}: At\ least\ one\ of\ the\ means\ is\ different$

In this case the researcher is testing whether the mean bone mineral density is different for the three different groups.

The hypothesis for this test can be defined as follows:

H₀: The mean bone mineral density is not different for the three different groups, i.e. μ₁ = μ₂= μ₃

Hₐ: The mean bone mineral density is different for the three different groups, i.e. at least one of the means is different.

3 0

3 years ago

Pls help simplify! I’ll give brainlest

Pepsi [2]

Answer:

3^12

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

The L.I.C. bulldogs won 15 soccer games last year. This year the bulldogs won 21 games. What is the percent increase in the numb

bonufazy [111]

3.5% increase
21-15=6
21/6=3.5%

8 0

3 years ago