How do you know if two line segments are perpendicular

Mathematics

1 answer:

Marina86 [1]3 years ago

5 0

Answer: C. Their slopes are negative reciprocals

Step-by-step explanation:

The slopes of two perpendicular lines are negative reciprocals of each other.

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2^x+2=4. yall i got this problem and i dont rlly understand how to do it. Hope yall can help me:)))))))))))))))

Oksi-84 [34.3K]

Answer:

$x=1$

Step-by-step explanation:

Ok, so we start off with $2^x+2=4$

Then, we subtract 2 from both sides so that becomes: $2^x+2-2=4-2$

After that, we simplify to get: $2^x=2$

Finally, the solution becomes: $x=1$

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2 years ago

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Last one, Help with math please 18-20 on the pdf. I do not know how to post a picture I am so sorry.

tatuchka [14]

Question 18
The answer is 4 days.
Because,
Kevin =3×n
Anita =4+ (2×n)
Equating the two equations.
3n=4+2n
3n-2n=4
n=4

Question 19
When the solution is (4,1), it means the value of y=1 and x=4.
The answer is;
y=x-3
y=-3x+13. Since when the values of x and y are substituted they satisfy the system.

Question 20
The system has no solution.
This is because the line are parallel and they do not intersect to give a solution.

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3 years ago

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ian is trying to estimate the distance across the lake d. he knows the measures shown in the diagram. which estimate is closest

masya89 [10]

Answer: The estimate is closest to the distance d is 4.2 miles

Step-by-step explanation:

In the given image, we can see that there is a right triangle, in which d is the side opposite to the right angle (largest angle in the triangle) which means its the longest side of the triangle.

[Since side opposite to the larger angle is larger]

Therefore, by Pythagoras Theorem we have

$d^2=(3.6)^2+(2.2)^2\\\Rightarrow\ d^2=12.96+4.84\\\Rightarrow\ d^2=17.8\\\Rightarrow\ d=\sqrt{17.8}\\\Rightarrow\ d=4.2190\approx4.2$