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Ipatiy [6.2K]
3 years ago
11

Which equation describes this line(1,9) (-2,3)

Mathematics
1 answer:
krek1111 [17]3 years ago
7 0

Answer: The equation describes the line is,

y-9=2(x-1)

Step-by-step explanation:

Since, the equation of a line passes two points (x_,y_1) and (x_2,y_2) is,

y-y_1 = \frac{y_2-y_1}{x_2-x_1}(x-x_1)

Here, the line is passing through the points (1,9) and (-2,3),

The equation of the given line is,

y-9=\frac{3-9}{-2-1}(x-1)

y-9=\frac{-6}{-3}(x-1)

y-9=2(x-1)

⇒ Option D is correct.

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A person is standing 50 ft from a statue. The person looks up at an angle of elevation of 8 degrees when staring at the top of t
borishaifa [10]

The height of the statue is 19.5 feet.

Why?

We can solve the problem using trigonometric formulas. In this case, we are going to use the trigonometric formula of the tangent.

We know that the person is standing 50ft from the statue, so, it will be the base of the two triangles formed by both angles (elevation and depression)

Using the trignometric formula, we have:

First triangle:

tg(\alpha )=\frac{h_{1}}{base} \\\\tg(8\°)=\frac{h_{1}}{50ft}\\\\0.14*50ft=h_1\\\\h_1=7ft

Second triangle:

tg(\alpha )=\frac{h_{2}}{base} \\\\tg(14\°)=\frac{h_{1}}{50ft}\\\\0.25*50ft=h_1\\\\h_1=12.5ft

Now, the total height of the statue will be:

TotalHeight=h_1+h_2=7ft+12.5ft\\\\TotalHeight=19.5ft

Have a nice day!

8 0
3 years ago
Q-35<br><br> Convert this equation to slope-intercept form: y+2= -4/17x + 12/7
Andru [333]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept)

given y + 2 = - \frac{4}{17} x + \frac{12}{7}

Subtract 2 from both sides

y = - \frac{4}{17} x + \frac{12}{7} - \frac{14}{7}

y = - \frac{4}{17} x - \frac{2}{7} ← in slope- intercept form


6 0
3 years ago
Find the missing side lengths
Mashcka [7]

Answer:

y = 9√3

x = 18

Step-by-step explanation:

taking 30 as reference angle

b = y

p = 9

h = x

so

tan30 = p/b

1/√3 = 9/b

or, b = 9√3

so

h^2 = p^2 + b^2\\x^2 = 9^2 + y^2\\or, x^2 = 81 + (9\sqrt{3} )^2\\or, x^2 = 81 + 243\\or, x ^2 = 324\\or, x =\sqrt{324} \\\\so x = 18

7 0
3 years ago
I need help with this geometry question
MArishka [77]

Answer:

Approximately 7.8 units

Step-by-step explanation:

To find the distance between any two points, we can use the distance formula:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

From the graph, we can see that A is (0,0). Let's let this be x₁ and y₁.

B is (-5,6). Let's let this be x₂ and y₂. So, substitute:

d=\sqrt{(-5-0)^2+(6-0)^2}

Simplify:

d=\sqrt{(-5)^2+(6)^2}

Square:

d=\sqrt{25+36}

Add:

d=\sqrt{61}

Take the square root. Use a calculator:

d\approx7.8

So, the distance between them is about 7.8 units.

And we're done!

7 0
3 years ago
If Sophia purchases n songs for .99 cents each, write an expression for the total cost.
kodGreya [7K]

Answer:

I think the answer would be n×0.99

Step-by-step explanation:

the answer will be n×0.99 because she bought for example n=7 each for 99 cents. to find the total you would have to do 7x0.99. Hope this help you

3 0
3 years ago
Read 2 more answers
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