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Harman [31]
2 years ago
8

Which statements are true Select three options.

Mathematics
1 answer:
BARSIC [14]2 years ago
4 0

The line x = 0 is perpendicular to the line y = -3:

Correct. Any horizontal line (y = a) and any vertical line (x = b) intersect at some point and are perpendicular.

All lines that are parallel to the y-axis are vertical lines:

Correct. The y-axis is a vertical line, so any lines that are parallel to it must also be vertical.

All lines that are perpendicular to the x-axis have a slope of 0.

Incorrect. Lines that have a slope of 0 are horizontal, and the x-axis is horizontal as well. Any lines with a slope of 0 are <em>parallel </em>to the x-axis, not perpendicular to it.

The equation of the line parallel to the x-axis that passes through the point (2, 6) is x = 2.

Incorrect. x = 2 is a vertical line, and vertical lines cannot be parallel to the horizontal x-axis. x = 2 is perpendicular to the x-axis, however.

The equation of the line perpendicular to the y-axis that passes through the point (-5, 1) is y = 1.

Correct. The line y = 1 is horizontal, and the y-axis is a vertical line. Because the line y = 1 crosses the y-axis, the lines are perpendicular.

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Are the acute interior angles of a right triangle always complementary
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All the interior angles always sum up to 180. It doesn’t matter if they are all acute angles.
5 0
2 years ago
What is the range of the exponential function shown below
Vsevolod [243]

Answer : y>0

f(x) = 9*2^x

f(x) is an exponential function

f(x) = 9*2^x

When we plug in positive value for x , the value of y is positive

When we plug in negative value for x , the value y is also positive

So for any value of x, the y value is positive always.

Range is the set of y values for which the function is defined

y values are positive , so range is y >0

3 0
1 year ago
Read 2 more answers
6 months ago, Juan used his credit card for a transaction of 128 dollars. The bank charges a rate of interest
gizmo_the_mogwai [7]

Answer:

Hsjsjsjsjshshsjsnsmmsm

6 0
1 year ago
Instructions:Select the correct answer from each drop-down menu. The sides of ∆ABC are 30 units, 40 units, and 60 units long. Th
andriy [413]

Answer:

The sides of ∆ABC are 30 units, 40 units, and 60 units long.

The perimeter will be = 30+40+60=130 units

Given is that ∆ABC and ∆XYZ are similar and the corresponding sides of ∆XYZ are 'r' times as long as the sides of ∆ABC.

So, perimeter of ∆XYZ will be : 130\times r=130r units.

----------------------------------------------------------------------------------------

The area of ∆ABC is n square units, so area of ∆XYZ will be :

\frac{1}{2}(r\times height)(r\times base)

= n\times r\times r

= nr^{2} square units.

8 0
2 years ago
The library is 1.75 miles directly north from the school. The park is 0.6 miles directly south of the school. How far away is th
Kryger [21]

Answer:

2.35 miles

Step-by-step explanation:

Please find the attachment for visual understanding.

We are told that the library is 1.75 miles directly north from the school and the park is 0.6 miles directly south of the school.

To find distance between library and park we will add distance of library from school to the distance of park from school.

(1.75+0.6)\text{ miles}=2.35\text{ miles}  

Therefore, library is 2.35 miles away from park.  

7 0
2 years ago
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