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jenyasd209 [6]
3 years ago
5

99 POINTS

Mathematics
2 answers:
Allisa [31]3 years ago
7 0
1. slope is -6/2 which simplifies to -3
4. it will travel 275 miles
3. the slope of the line is .15, each pencil costs 15 cents
thats all ik
STALIN [3.7K]3 years ago
6 0
1) y2-y1/x2-x1 = -5-1/4-2 = -6/2 = -3

2) The triangles are proportional to each other because, the bigger triangles AB(base) to BC(height) ratio is 8:4, which if simplified would be 4:2, and the smaller triangles is 4:2, which is the same. In other words, both of the triangles are the same. 

3) y=0.15x, so the slope is 0.15, and each pencil costs 15 cents, or 0.15 dollar.

4) y=55x, where x=5, so y=55(5)=275.
The bus will travel 275 miles in 5 hours.

5) Slope-intercept form : y=mx+b, where m=slope, and b=y-int.
So, C = 15t+4 is the equation.

6) Yes, this graph does show a proportional relationship, because it costs $1 for every 10 photos, and this ratio is same for every amount of photos.

7) y-y1 = m(x-x1)
y-6 = 4(x-4)
y-6 = 4x - 16
y = 4x - 10

8) Olivia: y=2x
    Matt: y=3x
Matt travels at a faster rate, and I know this because Matt walks at 3 miles per hour, while Olivia walks 2 miles per hour, and obviously 3 mph is faster than 2 mph.
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Answer:

5 yd³

Step-by-step explanation:

2 in = 1/6 ft

15 ft  ×  18 ft  ×  1/6 ft = 45 ft³

1 ft³ = 9 yd³

45 ft³/9 = 5 yd³

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Identify the independent and dependent variables in the following situation: The more hours Beth studies, the higher the GPA she
grandymaker [24]
Hours and studying: independent
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If l and m are parallel,which pair of angles are supplementary?
chubhunter [2.5K]

Answer:

Option (1)

Step-by-step explanation:

Angles 2 and 5 are supplementary by the same-side interior angles theorem.

4 0
2 years ago
Independent Practice
Sedbober [7]

Answer: THE ANSWER IS D. (-27, -7, -2, 8, 48)

Step-by-step explanation:

Graph.

y = 5 x − 2

{ − 5 ,  − 1 ,  0 ,  2 ,  10 }

The chosen topic is not meant for use with this type of problem. Try the examples below.

1  ,  2  ,  2  ,  2  ,  3  ,  4  ,  4  ,  5  ,  8  ,  9  ,  10

11  ,  14  ,  14  ,  17  ,  17  ,  17  ,  41  ,  44  ,  47  ,  71  ,  74  ,  77

12  ,  15  ,  45  ,  65  ,  78

5 0
3 years ago
Need answer quickly! thank you in advance!
anyanavicka [17]

Answer:

b)(b²-a²)

Step-by-step explanation:

a cotθ + b cosecθ =p

b cotθ + a cosecθ =q

Now,

p²- q²

=(a cotθ + b cosecθ)² - (b cotθ + a cosecθ)²     [a²-b²=(a+b)(a-b)]

=(acotθ+bcosecθ + bcotθ+ acosecθ) (a cotθ + bcosecθ -bcotθ-acosecθ)

={a(cotθ+cosecθ)+b(cotθ+cosecθ)} {a (cotθ-cosecθ)+b (cosecθ-cotθ)}

={a(cotθ+cosecθ)+b(cotθ+cosecθ)} [a (cotθ-cosecθ) + {- b (cotθ-cosecθ)} ]

={a(cotθ+cosecθ)+b(cotθ+cosecθ)} {a (cotθ-cosecθ) - b (cotθ-cosecθ)}

={(cotθ+cosecθ)(a+b)} {(cotθ-cosecθ) (a-b)}

=(cotθ+cosecθ) (a+b) (cotθ-cosecθ) (a-b)

=(cotθ+cosecθ) (cotθ-cosecθ) (a+b) (a-b)        

= (cot²θ-cosec²θ) (a²-b²)                                 [(a+b) (a-b)= (a²-b²)]

= -1 . (a²-b²)                               [ 1+cot²θ=cosec²θ ; ∴cot²θ-cosec²θ=-1]

=(b²-a²)

6 0
3 years ago
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