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pickupchik [31]
3 years ago
12

7. Write the slope-intercept form of the equation that passes through the point (2, 3) and is perpendicular to the line y = 5/8x

- 4 y = 5/8x + 17/4 y = -5/8x + 7/4 y = -8/5x + 31/5 y = -8/5x - 31/5
Mathematics
1 answer:
Vinvika [58]3 years ago
4 0

Answer:

y = -8/5 x + 31/5

Step-by-step explanation:

Write the slope-intercept form of the equation that passes through the point (2, 3) and is perpendicular to the line y = 5/8x - 4 y = 5/8x + 17/4 y = -5/8x + 7/4 y = -8/5x + 31/5 y = -8/5x - 31/5

The slopes of perpendicular lines are negative reciprocals.

Slope of given line: 5/8

Slope of perpendicular line: -8/5

Point on perpendicular line: (2, 3)

Slope-intercept form of the equation of a line:

y = mx + b

We know the slope of the perpendicular is -8/5, so now we have

y = -8/5 x + b

We need to find b.

We use the given point for x and y and solve for b.

y = -8/5 x + b

3 = -8/5 * 2 + b

15 = -8 * 2 + 5b

15 = -16 + 5b

5b = 31

b = 31/5

Now that we know that b = 5, we can write the equation of the perpendicular line:

y = -8/5 x + 31/5

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Flauer [41]

Answer:

It is C

Step-by-step explanation:

because 30/200 simplifies to 3/20 and you multiply that times 17000

and get 2550

5 0
3 years ago
Teresa graphs the following 33 equations: y=2xy=2x, y=x2+2y=x2+2, and y=2x2y=2x2. She says that the graph of y=2xy=2x will event
Neko [114]
The correct question is 
<span>Teresa graphs the following 3 equations: y=2x, y=x2+2, and y=2x2. She says that the graph of y=2x will eventually surpass both of the other graphs. Is Teresa correct? Why or why not?

we have that
y=2x
y=x</span>²+2
y=2x²

using a graph tool
see the attached figure

<span>We can affirm the following
</span>the three graphs present the same domain-----> the interval (-∞,∞)

The range of the graph y=2x  is the interval (-∞,∞)

The range of the graphs y=x²+2 and y=2x² is the interval [0,∞)

therefore
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3 0
4 years ago
I need help really bad pls help
Damm [24]
Answer: C
Have a good day :D
5 0
3 years ago
Read 2 more answers
A helicopter is flying above a town. the local high school is directly to the east of the helicopter at a 20° angle of depressio
guapka [62]
Answer: 4.5 miles

Explanation:

When you draw the situation you find two triangles.

1) Triangle to the east of the helicopter

a) elevation angle from the high school to the helicopter = depression angle from the helicopter to the high school = 20°

b) hypotensue = distance between the high school and the helicopter

c) opposite-leg to angle 20° = heigth of the helicopter

d) adyacent leg to the angle 20° = horizontal distance between the high school and the helicopter = x

2) triangle to the west of the helicopter

a) elevation angle from elementary school to the helicopter = depression angle from helicopter to the elementary school = 62°

b)  distance between the helicopter and the elementary school = hypotenuse

c) opposite-leg to angle 62° = height of the helicopter

d) adyacent-leg to angle 62° = horizontal distance between the elementary school and the helicopter = 5 - x

3) tangent ratios

a) triangle with the helicpoter and the high school

tan 20° = Height / x ⇒ height = x tan 20°

b) triangle with the helicopter and the elementary school

tan 62° = Height / (5 - x) ⇒ height = (5 - x) tan 62°

c) equal the height from both triangles:

x tan 20° = (5 - x) tan 62°

x tan 20° = 5 tan 62° - x tan 62°

x tan 20° + x tan 62° = 5 tan 62°

x  (tan 20° + tan 62°) = 5 tan 62°

⇒ x = 5 tant 62° / ( tan 20° + tan 62°)

⇒ x = 4,19 miles

=> height = x tan 20° = 4,19 tan 20° = 1,525 miles

4) Calculate the hypotenuse of this triangle:

hipotenuese ² = x² + height ² = (4.19)² + (1.525)² = 19.88 miles²

hipotenuse = 4.46 miles

Rounded to the nearest tenth = 4.5 miles

That is the distance between the helicopter and the high school.
5 0
3 years ago
Read 2 more answers
What is the slope of the line shown in the graph? A)-5 B)-1/5 C)5 D)1/5
zhuklara [117]

Answer:

5

Step-by-step explanation:

To find the slope, you use rise/run. In this case... the rise is 5 up and the run is 1 across. Therefore it is 5/1 which is the same as 5. Hope this helped!


3 0
3 years ago
Read 2 more answers
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