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Orlov [11]
3 years ago
15

Which of the following statements are true of the

Mathematics
2 answers:
Anuta_ua [19.1K]3 years ago
8 0

Answer:

B, D, and E.

Step-by-step explanation:

A) The system has infinitely many solutions. This is wrong because according to the graph, there is only one solution- where the lines intersect. This would only be true if the lines never intersected.

B) A solution to the system is (-1, -2). This is true because this is the only point where the lines intersect.

C) A solution to the system is (0, -1). Since these aren't parabolas and the one above is true, we can say this is false. Also, the lines don't intersect at (0, -1).

D) One of the equations is y=x-1. This is true because the y-intercept for the red line is -1 and the slope of the equation is 1. You can also find this out by directly solving for the equation.

E) One of the equations is 3x+y=-5. If you put this into slope-intercept form, you will find out that the equation is y=-3x-5. This is true because the y-intercept of this is -5 and the slope of this is -3.

andreev551 [17]3 years ago
8 0

Answer:

B,D and E

Step-by-step explanation:

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Using the slope concept, it is found that:

  • The minimum horizontal distance is of 14,281.5 feet.
  • The maximum horizontal distance is of 15,398.6 feet.

<h3>What is a slope?</h3>
  • The slope is given by the <u>vertical change divided by the horizontal change</u>.
  • It's also the tangent of the angle of depression.

In this problem, the vertical change is the altitude of 10,000 feet.

The minimum horizontal distance is with an angle of 35º, hence:

\tan{35^{\circ}} = \frac{10000}{d}

d = \frac{10000}{\tan{35^{\circ}}}

d = 14281.5

The maximum horizontal distance is with an angle of 33º, hence:

\tan{33^{\circ}} = \frac{10000}{d}

d = \frac{10000}{\tan{33^{\circ}}}

d = 15398.6

You can learn more about the slope concept at brainly.com/question/22568180

5 0
2 years ago
What is the measure for the following ∠?<br><br> m∠BOX<br><br> 20<br> 40<br> 60
Daniel [21]

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Step-by-step explanation:

3 0
3 years ago
Which of the following are NOT congruent?
algol13

the adjacent angles in a parallelogram

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3 years ago
Suppose a shipment of 190 electronic components contains 3 defective components. To determine whether the shipment should be​ ac
PolarNik [594]

Answer:

0.0467

Step-by-step explanation:

Probabilty of being defective is  \frac{3}{190}

So probability of being good is  \frac{187}{190}

Now,

Probability that all 3 of them are good is:

\frac{187}{190}^{3}=0.9533

Now, to find probability of rejection, we subtract the now found probability from 1. Thus, we have:

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What is the equation of the line shown in the graph?
postnew [5]

The slope-intercept form:

y=mx+b

m - slope

b - y-intercept

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (-3, 1) and (2, -4). Substitute:

m=\dfrac{-4-1}{2-(-3)}=\dfrac{-5}{5}=-1

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y=-1x+b\to y=-x+b

Put the coordinates of the point (-3, 1) to the equation:

1=-(-3)+b

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-2=b\to b=-2

<h3>Answer: y = -x - 2</h3>
4 0
3 years ago
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