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3 years ago

What are the answers to thins? i need all of the blanks filled!

Mathematics

1 answer:

Thepotemich [5.8K]3 years ago

3 0

Answer:

<3 and <7 Corresponding Angles

<2 and <7 Alternate Exterior Angles

<4 and <5 Alternate Interior Angles

<3 and <6 Alternate Interior Angles

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What is the equation of the line that is parallel to the line y − 1 = 4(x + 3) and passes through the point (4, 32)?

rusak2 [61]

Answer:

The equation for the given line is y − 1 = 4(x + 3). Let us convert this equation in slope intercept form y= mx +b, where m is slope and b is the y-intercept. Thus, the slope of this line is 4.Now, we know that the slope of parallel lines are equal. Hence, the slope of the required line is same as the slope of the given line. Hence, the slope of the required line is m = 4It passes through the point (4,32).The point slope form of a line is given by Therefore the equation of the line is y = 4x+16,D is the correct option.

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3 years ago

A recursive rule for an arithmetic sequence is a₁=4;a_n=a_(n−1)−3 .

steposvetlana [31]

The explicit formula of the arithmetic sequence:

$a_n=a_1+(n-1)d$

d - common difference

We have the recursive formula of an arithmetic sequence:

$\left\{\begin{array}{ccc}a_1=4\\a_n=a_{n-1}-3\end{array}\right$

Therefore we have:

$a_1=4,\ d=-3$

Substitute:

$a_n=4+(n-1)(-3)=4-3n+3=7-3n$

<h3>Answer: aₙ = 7 - 3n</h3>

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3 years ago

a plumber uses 200 ft of tubing to make 50 sections of the same size. At this rate, how many feet of tubing is needed to make 1

shutvik [7]

Answer:

4 ft

Step-by-step explanation:

You need to divide that 200 ft among those 50 sections to get what amount of feet goes into each section.

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2 years ago

Read 2 more answers

Quadrilateral TRAM is rotated -90 degrees about the origin. Draw the image of this rotation.

SpyIntel [72]

Answer:

Please find attached the image of the quadrilateral TRAM after a rotation of -90 degrees, created with MS Excel

Step-by-step explanation:

The given coordinates of the vertices of the quadrilateral TRAM are;

T(-5, 1), R(-7, 7), A(-1, 7), M(-5, 4)

By a rotation of -90 degrees = Rotation of 90 degrees clockwise, we get;

The coordinates of the preimage before rotation = (x, y)

The coordinates of the image after rotation = (y, -x)

Therefore, we get for the the quadrilateral T'R'A'M', by rotating TRAM -90 degrees as follows;

T(-5, 1) → T'(1, 5)

R(-7, 7) → R'(7, 7)

A(-1, 7) → A'(7, 1)

M(-5, 4) → M'(4, 5)

The image of TRAM after -90 degrees rotation is created by plotting the derived points of the quadrilateral T'R'A'M' on MS Excel and joining the corresponding points as presented in the attached diagram.