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Leokris [45]
4 years ago
7

1. Find the slope of the line containing (2,9) and (-1,5) 2. Find the slope of the line containing (4,4) and (-1,4)

Mathematics
1 answer:
Alika [10]4 years ago
6 0

Answer:

Question 1) 4/3

Question 2) 0

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Robert is lying on the ground, looking at the top of a flagpole. The angle of elevation to the top of the flagpole is
NeTakaya

Answer:

Height of flagpole = 571 ft

Step-by-step explanation:

Given:

Angle of elevation to the top of the flagpole is 55° .

Distance from the eyes to the base of flagpole = 400 ft.

To find the height of the flagpole.

Solution:

We can draw the situation as a right triangle as shown below.

In triangle ABC.

BC=400\ ft

∠C= 55°

To find the length AB (height of the flagpole).

Applying trigonometric ratio :

\tan\theta=\frac{Opposite\ side}{Adjacent\ side}

\tan C=\frac{AB}{BC}

Plugging in values.

\tan 55\°=\frac{AB}{400}

Multiplying both sides by 400.

400\tan 55\°=\frac{AB}{400}\times 400

571.26=AB

∴ AB\approx 571\ ft

Height of flagpole = 571 ft

6 0
4 years ago
Using the box-and-whisker plot shown, find the quartile values Q1 and Q3
astra-53 [7]

Answer:

see explanation

Step-by-step explanation:

The lower quartile Q_{1} is positioned at the left side of the box, that is

Q_{1} = - 4

The upper quartile Q_{3} is positioned at the right side of the box

Q_{3} = 6

7 0
4 years ago
50 pts for answer A line passes through the point (4, –6) and has a slope of mc011-1.j pg. Which is the equation of the line?
professor190 [17]

y = mx + b

m = -3/4

y = (-3/4)x + b

Use the given point (4,-6) to find b:

-6 = (-3/4)(4) + b

-6 = -3 + b

b = -3

Final equation:

y = (-3/4)x - 3

8 0
3 years ago
Read 2 more answers
Find the average rate of change of g(x) = 4x3 + 3 from x = – 3 to x = 4
Lostsunrise [7]

Answer:

52

Step-by-step explanation:

g(-3) = 4(-3)^3 + 3 = -105

g(4) = 4(4)^3 + 3 = 259

AROC = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{259 - (-105)}{4 - (-3)} = 52

5 0
3 years ago
Y=1/2×-6 ×=-4 what is the solution to the system of equations
hodyreva [135]

Answer:

(-4, -8)

Step-by-step explanation:

Use the substitution method.  x = -4, so y = (1/2)x - 6 becomes:

y = (1/2)(-4) - 6, or y = -2 - 6, or y = -8.

The solution is (-4, -8).

8 0
3 years ago
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