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3 years ago

May I please receive help?

Mathematics

1 answer:

pychu [463]3 years ago

6 0

Parallel lines have the same slope, while perpendicular lines have an opposite reciprocal slope.

Line 1:

-5y = 3x + 7

y = -3/5x - 7/5

Line 2:

y = -5/3x + 8

Line 3:

6x - 10y = -4

-10y = -6x - 4

y = 3/5x + 2/5

Line 1 and Line 2 are neither perpendicular nor parallel. While their slopes are reciprocals of each other, the signs are not opposite (both are negative).

Line 1 and Line 3 are neither perpendicular nor parallel. While the slope itself is the same, the signs are different.

Line 2 and Line 3 are perpendicular. Their slopes are opposite reciprocals of each other.

Hope this helps!! :)

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What is the solution to the equation below? 2( − 6) = 8 + 6

AleksandrR [38]

-12 = 14
Or no solution

3 0

4 years ago

Round to the nearest tenth

Semmy [17]

Answer:

60 degrees

Step-by-step explanation:

I believe in the triangle it says 57 degrees so if you round 57 to the nearest tenth you get 60 so it would be 60 degrees

4 0

4 years ago

A cylinder has diameter of 4ft and a height of 9ft. Explain whether halving the diameter has the same effect on the surface area

elena55 [62]

Answer:

See Below

Step-by-step explanation:

The surface area of cylinder is given by the formula:

$SA=2\pi r^2 + 2\pi r h$

Where

r is radius ( diameter is 4, so radius is 4/2 = 2)

h is height ( h = 9)

Lets find original surface are:

$SA=2\pi r^2 + 2\pi r h\\SA=2\pi (2)^2 + 2\pi (2) (9)\\SA=8\pi +36\pi\\SA=44\pi$

Halving diameter:

diameter would be 4/2 = 2, so radius would be 2/2 = 1

So, SA would be:

$SA=2\pi r^2 + 2\pi r h\\SA=2\pi (1)^2 + 2\pi (1) (9)\\SA=2\pi +18\pi\\SA=20\pi$

Halving height:

Height is 9, halving would make it 9/2 = 4.5

Now, calculating new SA:

$SA=2\pi r^2 + 2\pi r h\\SA=2\pi (2)^2 + 2\pi (2) (4.5)\\SA=8\pi + 18\pi\\SA= 26\pi$

Original SA is $44\pi$ ,

Halving diameter makes it $20\pi$

Halving height makes it $26\pi$

So, halving diameter does not have same effect as halving height.

5 0

3 years ago

The range for the Kentucky temperatures is . The range for the Illinois temperatures is . The IQR for the Kentucky temperatures

natima [27]

The boxplot required to answer the questions is attached below :

Answer:

The range for the Kentucky temperature :

(58.3 - 52.2) = 6.1

The range for the Illinois temperature :

(55 - 49.9) = 5.1

The IQR for the Kentucky temperature :

(57.3 - 54.5) = 2.8

The IQR for the Illinois temperature :

(53.3 - 50.9) = 2.4

Step-by-step explanation:

Range = maximum - minimum

Maximum and minimum values are given by the values at the end and start of the whisker.

The range for the Kentucky temperature :

(58.3 - 52.2) = 6.1

The range for the Illinois temperature :

(55 - 49.9) = 5.1

IQR = Q3 - Q1

Q3 = Value at the end of the box

Q1 = value of start of box

The IQR for the Kentucky temperature :

(57.3 - 54.5) = 2.8

The IQR for the Illinois temperature :

(53.3 - 50.9) = 2.4

3 0

3 years ago

what is the smallest positive integer a such that the intermediate value theorem guarantees a zero exists between 0 and a?

liberstina [14]

The smallest positive integer that the intermediate value theorem guarantees a zero exists between 0 and a is 3.

What is the intermediate value theorem?

Intermediate value theorem is theorem about all possible y-value in between two known y-value.

x-intercepts

-x^2 + x + 2 = 0

x^2 - x - 2 = 0

(x + 1)(x - 2) = 0

x = -1, x = 2

y intercepts

f(0) = -x^2 + x + 2

f(0) = -0^2 + 0 + 2

f(0) = 2

(Graph attached)

From the graph we know the smallest positive integer value that the intermediate value theorem guarantees a zero exists between 0 and a is 3

For proof, the zero exists when x = 2 and f(3) = -4 < 0 and f(0) = 2 > 0.

Your question is not complete, but most probably your full questions was

Given the polynomial f(x)=− x 2 +x+2 , what is the smallest positive integer a such that the Intermediate Value Theorem guarantees a zero exists between 0 and a ?

Thus, the smallest positive integer that the intermediate value theorem guarantees a zero exists between 0 and a is 3.

Learn more about intermediate value theorem here:

brainly.com/question/28048895

#SPJ4

4 0

2 years ago