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oksian1 [2.3K]
2 years ago
8

Q # 4 find the slope of the line through the pair of points A(2, -3), P(2, 9)

Mathematics
2 answers:
lutik1710 [3]2 years ago
8 0
The answer is 12/0, which is undefined
fiasKO [112]2 years ago
5 0
The given points are (2, -3) and (2, 9)

The x-component of the two points is the same. Which means the line passing through the given two points is a vertical line and slope of a vertical line is undefined.

You can also validate it using the formula of finding slope.

Slope = (-3-9)/(2-2) = -12/0 = undefined

So, first option is the correct answer.

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A piece of land is shaped like a right triangle. Two people start at the right angle at the same time, and walk at the same spee
sweet [91]

Answer:

1 m/s

Step-by-step explanation:

the area of the triangle = A = ¹/₂ab

where a is the distance covered by the first person and b is the distance covered by the second person. since they walk at the same speed, then a = b, so our formula can be changed to A = ¹/₂x²

now we find the derivative of both sides:

dA/dt = ¹/₂ ⋅ dx²/dt

dA/dt = ¹/₂ ⋅ 2x ⋅ dx/dt

dA/dt = x ⋅ dx/dt = x ⋅ velocity

we are told that x = 5 m, and dA/dt = 5 m²/s

velocity = dA/dt / x

velocity = 5 m²/s / 5 m = 1 m/s

7 0
3 years ago
Prove the identity with steps.
Sav [38]
Remember that a double angle formula for cosine is
\cos(2x)=\cos^{2}x-\sin^{2}x

So
\cos^{2}(2x)-\sin^{2}(2x)=\cos(4x)
\rightarrow \cos^{2}(2x)-\sin^{2}(2x)=\cos(2*2x)
\rightarrow \cos^{2}(2x)-\sin^{2}(2x)=\cos^{2}(2x)-\sin^{2}(2x)
4 0
2 years ago
What is the first operation used to evaluate 5+7•6-2÷4
Kisachek [45]

Multiply 7x6 since when using pemdas, multiplication and division can be inverted, i.e. if multiplication is before division then you multiply and vice versa.


Hope this helps!

3 0
3 years ago
Given the function s(x) = 7x - 17, find s(-8).
Scrat [10]

Answer:

-73

Step-by-step explanation:

substitue the -8 in for x. then multiply -8 by 7 you get -56. then subtract 17.

8 0
3 years ago
Please help me on this quick!! Thanks and please show work.
FinnZ [79.3K]
The two parallel bases b1 and b2 are
b1 = 12
b2 = 9
the order of which base you pick doesn't matter

The height is h = 10 and it's perpendicular to each base.

The area is...

A = (1/2)*h*(b1+b2)
A = (1/2)*10*(12+9)
A = (1/2)*10*(21)
A = 5*21
A = 105

Final Answer: B) 105 square centimeters
8 0
3 years ago
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