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xeze [42]
3 years ago
14

Find the slope pf the line passing through the points -2,-7 and 3,5

Mathematics
1 answer:
Jobisdone [24]3 years ago
8 0

Answer:

slope = 12/5 or 2.4

Step-by-step explanation:

(-2,-7), (3,5)

(5 - (-7) / 3 - (-2)) = (12 / 5)

slope = 12/5 or 2.4

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Find tan(β) in the triangle.
BabaBlast [244]

Answer:

tan β = \frac{8}{15}

Step-by-step explanation:

tan β = \frac{opposite}{adjacent} = \frac{AC}{BC } = \frac{8}{15}

7 0
3 years ago
Can someone help me with these two
Leviafan [203]

Answer: I believe it is D..

3 0
3 years ago
Which equation represents the equation of the parabola with focus (-3 3) and directrix y=7?
Artemon [7]

Answer:

The equation y=\frac{-x^2-6x+31}{8} represents the equation of the parabola with focus (-3, 3) and directrix y = 7.

Step-by-step explanation:

To find the equation of the parabola with focus (-3, 3) and directrix y = 7. We start by assuming a general point on the parabola (x, y).

Using the distance formula d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }, we find that the distance between (x, y) is

\sqrt{(x+3)^2+(y-3)^2}

and the distance between (x, y) and the directrix y = 7 is

\sqrt{(y-7)^2}.

On the parabola, these distances are equal so, we solve for y:

\sqrt{(x+3)^2+(y-3)^2}=\sqrt{(y-7)^2}\\\\\left(\sqrt{\left(x+3\right)^2+\left(y-3\right)^2}\right)^2=\left(\sqrt{\left(y-7\right)^2}\right)^2\\\\x^2+6x+y^2+18-6y=\left(y-7\right)^2\\\\x^2+6x+y^2+18-6y=y^2-14y+49\\\\y=\frac{-x^2-6x+31}{8}

6 0
3 years ago
. Jordyn can swim 4/5 mile in 1/3 hour. How far can she swim in 1 hour?
Blizzard [7]

Answer:

2.4 miles

Step-by-step explanation:

This is a simple ratio problem.

Jordyn swims 4/5 mile in 1/3rd hour. So how many miles will they go in 1 hour? Let that be x:

That is 12/5 miles or 2  2/5 miles

In decimal, that's 2.4 miles

4 0
3 years ago
Read 2 more answers
What is the value of x? <br><br>Enter your answer in the box.
scoray [572]

Answer:

x=11

Step-by-step explanation:

Since the lines in the middle are parallel, we know that both sides are proportional to each other.

6:48 can be simplified to 1:8

Since we know the left side ratio is 1:8, we need to match the right side with the same ratio

We can multiply the ratio by 5 to match 5:3x+7

5:40

5:3x+7

Now we can set up the equation: 40=3x+7

Subtract 7 from both sides

3x=33

x=11

5 0
3 years ago
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