All categories

2 years ago

Where is the solution located on a graph a system of equations?

1 answer:

5 0

For a system of two variables and two equations, each equation will be a linear graph, and where the lines intersect is the solution as an ordered pair (x,y). If the lines don’t intersect (they’re parallel) so there is no unique solution.

You might be interested in

Please answer i really need help

Firlakuza [10]

X intercept is (1,0)
y intercept is (0,-4)

7 0

1 year ago

g Nationwide, a certain disease occurs only a small proportion of people (.000215). A certain town has 74,000 residents. Use the

Andrei [34K]

Answer:

The probability that the town has 30 or fewer residents with the illness = 0.00052.

Step-by-step explanation:

So, we have the following set of data or information or parameters given from the question above and they are; the number of people living in that particular society/community/town = 74,000 residents and the proportion of people that the diseases affected = .000215.

The first step to do is to determine the expected number of people with disease. Thus, the expected number of people with disease = 74,000 × .000215 = 15.91.

Hence, the probability that the town has 30 or fewer residents with the illness = 1.23 × 10^-7 × 15.91^30/ 2.65253 × 10^-32 = 0.00052.

Note the formula used in the calculating the probability that the town has 30 or fewer residents with the illness = e^-λ × λ^x/ x!

8 0

2 years ago

Es The measure of an interior angle of a regular polygon is 120°. What is the measurb of each exterior angle? The polygon has

Troyanec [42]

The measure of each exterior angle is 60° and the polygon has 6 sides ⇒ 4th answer

Step-by-step explanation:

In a regular n-side polygon:

All sides are equal in lengths
All angles are equal in measure
The measure of each interior angle = $\frac{(n-2)*180}{n}$
The measure of each exterior angle = $\frac{360}{n}$
The sum of interior angle and exterior angle at a vertex is 180°

∵ The measure of an interior angle of a regular polygon is 120°

∵ The sum of interior angle and exterior angle at a vertex = 180°

∴ The measure of each exterior angle = 180 - 120

∴ The measure of each exterior angle = 60°

∵ The measure of each exterior angle = $\frac{360}{n}$

- Substitute the measure of the exterior angle by 60

∴ $60=\frac{360}{n}$

- By using cross multiplication

∴ 60 n = 360

- Divide both sides by 60

∴ n = 6

∴ The polygon has 6 sides

The measure of each exterior angle is 60° and the polygon has 6 sides

Learn more:

You can learn more about polygons in brainly.com/question/6281564

#LearnwithBrainly

5 0

2 years ago

Jen is planning a trip to France. The exchange rate is 3 Euros for $4. How many Euros will she get if she exchanged $28? DO NOT

Nonamiya [84]

The answer would be 21 euros

8 0

2 years ago

A survey team is trying to estimate the height of a mountain above a level plain. From one point on the plain, they observe that

aliya0001 [1]

Answer:

5507.79 feet

Step-by-step explanation:

To find the height of the mountain, we can draw triangles as in the image attached.

Let's call the height of the mountain 'h', and the distance from the first point (31 degrees) to the mountain 'x'.

Then, we can use the tangent relation of the angles:

tan(34) = h/x

tan(31) = h/(x+1000)

tan(31) is equal to 0.6009, and tan(34) is equal to 0.6745, so:

h/x = 0.6745 -> x = h/0.6745

using this value of x in the second equation:

h/(x+1000) = 0.6009

h/(h/0.6745 + 1000) = 0.6009

h = 0.6009 * (h/0.6745 + 1000)

h = 0.8909*h + 600.9

0.1091h = 600.9

h = 600.9 / 0.1091 = 5507.79 feet

8 0

2 years ago