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solong [7]
3 years ago
11

Which graph best represents -5y = -6x + 15

Mathematics
1 answer:
frutty [35]3 years ago
3 0

Answer: Option c.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

Given the equation:

-5y = -6x + 15

Solve for "y" in order to write in Slope-Intercept form:

y = \frac{-6}{-5}x + \frac{15}{-5}\\\\y = \frac{6}{5}x -3

Now you can identify that that the slope and the y-intercept are:

m=\frac{6}{5}\\\\b=-3

A posive slope means that the the line moves upward from left to right.

With this information, you can conclude that the the graph that  best represents the given equation is the graph shown in the Option c.

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Maksim231197 [3]

Answer:

Choice A

Step-by-step explanation:

  • SSS is not applicable as only 2 sides are congruent
  • HL is lot applicable as triangles are not right angled (∠A and ∠E >90)
  • ASA also not applicable as the angle should be included but is not
5 0
3 years ago
−4 2/5 ÷ (−5)<br> divide<br> a) −22/25<br><br> b) −8/25<br><br> c) 8/25<br><br> d) 22/25
prohojiy [21]

Answer:

the answer to your question is 22/25 , hope this helps :)

6 0
2 years ago
Read 2 more answers
Consider the numbers p
e-lub [12.9K]

Answer:

44664.59503

Step-by-step explanation:

Hello,

In this question, you're asked to find the radical of a number. However in mathematics, the radical of a number simply means "√" and not directly square root of that number, its could be the cube root "³√" or even the fourth root "⁴√".

In this case, we're asked to find the 3 radical of p/q which means 3√(p/q)

P = 2.78×10¹¹

Q = 3.12×10⁻³

p / q = 2.78×10¹¹ / 3.12×10⁻³

p / q = 8.91×10¹³

The 3 radical = 3√(8.91×10¹³)

3√(p/q) = 44664.59503

6 0
3 years ago
Consider the line y=5x -3 Find the equation of the line that is patellar to this line and passes through the point (-8, -3) Cons
Lynna [10]

Answer:

The equation of the line that is parallel to given line and passes through the point (-8, -3) is: y = 5x+37

Step-by-step explanation:

Given equation of line is:

y=5x-3

The general form of equation of line in slope-intercept form is written as:

y = mx+b

Here m(co-efficient of x) is the slope of the line and b is the y-intercept.

Comparing the given equation with the general form we get

m = 5

Two parallel lines have same slope so the slope of any line parallel to given line will also be 5.

Let m1 be the slope of required line parallel to y=5x-3

Then m1=5

Putting in general form

y = m_1x+b

y=5x+b

To find the value of b(y-intercept) the given point has to be put in the equation from which the line passes.

The point is (-8,-3)

-3 = 5(-8)+b\\-3 = -40+b\\b = -3+40\\b = 37

Putting the value of b and m1, we get

y = 5x+37

Hence,

The equation of the line that is parallel to given line and passes through the point (-8, -3) is: y = 5x+37

5 0
3 years ago
A​ mega-discount chain store just opened a new clothing store in town emphasizing mainly​ women's clothing. Before​ opening, man
Georgia [21]

Answer:

a) Cluster sampling

Step-by-step explanation:

<em>Since here the population is divided into many groups (cluster) and one of these groups is taken as a sample. This type of sampling is called Cluster Sampling.</em>

Further,

In Cluster Sampling the population is distributed into a distinct group called cluster and clusters are chosen as a sample then it is Cluster Sampling.

Multistage Sampling is a complex form of Cluster Sampling. In this sampling population is divided into a different group then one or more groups are randomly selected then again that selected group is divided into a different small group and again one or more these small groups are randomly selected as sample. This process is done many times.

If the sampling is done by any criteria then this type of sampling method is called Systematic Sampling. Like observer is taken every 5th unit as a sample.

If the whole population is divided into many groups(strata) such that between the group units are heterogeneous and within the group units are homogeneous then units are randomly selected from these groups. This type of sampling is called Stratified Sampling.

7 0
3 years ago
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