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3 years ago

What is the slope of the line that passes through the points (7, -4) and (7, 0)? Write your answer in the simplest form.

Mathematics

1 answer:

olga55 [171]3 years ago

5 0

Answer:

The slop is undefined

i.e. $m=\infty$

Step-by-step explanation:

Considering the slope formula

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

As the points are (7, -4) and (7, 0)

Here:

(x₁, y₁) = (7, -4)

(x₂, y₂) = (7, 0)

$\mathrm{When\:}y_1\ne \:y_2\mathrm{\:and\:}\:x_1=x_2\mathrm{\:the\:slope\:is\:}\infty$

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$=\frac{\left(0-\left(-4\right)\right)}{\left(7-7\right)}$

$=\frac{0-\left(-4\right)}{0}$

$=\infty$

Therefore, the slop is undefined i.e. $m=\infty$

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The cylinder’s diameter and height are both 39.2 millimeters. What is the surface area of this cylinder?

Dominik [7]

Answer:

A = 7,241.2454026112 square mm.

or exact : A = 2,304.96‬*π sq mm

Step-by-step explanation:

Cylinder formula: A = π* r^2 + 2 *π * r* h + π*r^2

is the surface area.

d = 2r = 39.2 mm

h = 39.2 mm

r = 19.6 mm

A = π* r^2 + 2 *π * r* h + π*r^2

A = 2* π* (19.6)^2 + 2π (19.6)*(39.2)

A = 2,413.748467537 + 4,827.496935

A = 7,241.2454026112 square mm.

A = 2*pi* (768.32‬ + 384.16)

A = 2*1,152.48‬* pi

A = 2,304.96‬*π sq mm

8 0

3 years ago

Please help with this question! I'm stuck on it. I will mark brainliest if you are correct!

kotegsom [21]

Answer:

The answer is a

Step-by-step explanation:

2+5 4/2

3 0

3 years ago

A triangle has two constant sides of length 5 feet and 7 feet. The angle between these two sides is increasing at a rate of 0.9

o-na [289]

Answer: $12.74 ft^2/s$

Step-by-step explanation:

Given

Two sides of triangle of sides 5 ft and 7 ft

and angle between them is increasing at a rate of 0.9 radians per second

let $\theta$ is the angle between them thus

Area of triangle when two sides and angle between them is given

$A=\frac{ab\sin C}{2}$

$A=\frac{5\times 7\times \sin \theta }{2}$

Differentiate w.r.t time

$\frac{\mathrm{d} A}{\mathrm{d} t}=\frac{35\cos theta }{2}\times \frac{\mathrm{d} \theta }{\mathrm{d} t}$

at $\theta =\frac{\pi }{5}$

$\frac{\mathrm{d} A}{\mathrm{d} t}=\frac{35\times cos(\frac{\pi }{5})}{2}\times 0.9$

$\frac{\mathrm{d} A}{\mathrm{d} t}=12.74 ft^2/s$

4 0

3 years ago

Jake built a skateboard ramp, if the distance of the ramp is 10 ft. The ramp rises a

ikadub [295]

Answer:

Angle made by ramp with ground is ≈ $19.29^{\circ}$

Step-by-step explanation:

Diagram of given scenario is shown below.

Given that,

Horizontal Distance of Skateboard ramp is $10$ ft.

Height of Skateboard ramp is $3.5$ ft.

From figure,

It is forming a Right angle triangle $\triangle ABC$ .

In $\triangle ABC$ , $AB=3.5$ and $BC=10$ .

Clearly see that we need to find measure of angle $\angle C$ .

Using Trigonometric ratio:

$Tan(\theta)= \frac{Perpendicular}{Base}$

So, $Tan(\angle C) = \frac{AB}{BC} =\frac{3.5}{10} =0.35$

Then $\angle C=Tan^{-1} (3.5)=19.290046^{\circ}$

Therefore, Angle made by ramp with ground is ≈ $19.29^{\circ}$

8 0

3 years ago

24) sin x = 1/3<br> Find cos x.

liq [111]

Answer:

$\frac{2\sqrt{2} }{3}$

Step-by-step explanation:

The sine of an angle is defined as the ratio between the opposite side and the hypotenuse of a given right-angled triangle;

sin x = ( opposite / hypotenuse)

The opposite side to the angle x is thus 1 unit while the hypotenuse is 3 units. We need to determine the adjacent side to the angle x. We use the Pythagoras theorem since we are dealing with right-angled triangle;

The adjacent side would be;

$\sqrt{9-1}=\sqrt{8}=2\sqrt{2}$

The cosine of an angle is given as;

cos x = (adjacent side / hypotenuse)

Therefore, the cos x would be;

$\frac{2\sqrt{2} }{3}$

6 0

2 years ago

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