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Shtirlitz [24]
3 years ago
13

The table above shows the relationship between the number of blue blocks (b) and the total number of blocks (t) in a stack. Whic

h of the following equations best represents the relationship in the table? A,t = b − 4 B.t = b + 6 C.t = b × 2 D.t = b + 4

Mathematics
1 answer:
katen-ka-za [31]3 years ago
7 0
The answer is a because each number in the "total number of blocks" column is 4 more than each number in the "stacks of blue blocks" column.
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At which points are the tangents drawn to the ellipse x 2 + y 2 = [ a ] x + [ a ] y parallel to
In-s [12.5K]

The given equation of the ellipse is x^2 + y^2 = 2 x + 2 y

At tangent line, the point is horizontal with the x-axis therefore slope = dy / dx = 0

<span>So we have to take the 1st derivative of the equation then equate dy / dx to zero.</span>

x^2 + y^2 = 2 x + 2 y

x^2 – 2 x = 2 y – y^2

(2x – 2) dx = (2 – 2y) dy

(2x – 2) / (2 – 2y) = 0

2x – 2 = 0

x = 1

 

To find for y, we go back to the original equation then substitute the value of x.

x^2 + y^2 = 2 x + 2 y

1^2 + y^2 = 2 * 1 + 2 y

y^2 – 2y + 1 – 2 = 0

y^2 – 2y – 1 = 0

Finding the roots using the quadratic formula:

y = [-(- 2) ± sqrt ( (-2)^2 – 4*1*-1)] / 2*1

y = 1 ± 2.828

y = -1.828 , 3.828

 

<span>Therefore the tangents are parallel to the x-axis at points (1, -1.828) and (1, 3.828).</span>

3 0
3 years ago
4.6w - 3 + 6.4x - 1.9y <br> What are the terms and coefficients?
Soloha48 [4]

For the algebraic expression 4.6w - 3 + 6.4x - 1.9y, the terms are 4.6w, - 3, 6.4x, and - 1.9y, and the coefficients are 4.6, 6.4, and -1.9 respectively.

Given: To find terms and coefficients in 4.6w - 3 + 6.4x - 1.9y

What are algebraic expressions?

Algebraic expressions are sequences or combinations of characters containing letters, numbers, variables, symbols, operands, etc.

They help in making a big problem short and to make a relationship between different parts of the problem.

What are the terms?

In algebraic expressions, terms are individual components involved in forming the algebraic expression except for the operators.

What are coefficients?

In algebraic expressions, coefficients are the numbers of letters that are associated with the variables.

Let's solve the given problem:

Given algebraic expression: 4.6w - 3 + 6.4x - 1.9y

Therefore the terms in the algebraic expression are: 4.6w, - 3, 6.4x, and - 1.9y

and the coefficients are: 4.6, 6.4, and -1.9 as w, x, and y are the variables or unknowns of the given algebraic expression.

Hence for the algebraic expression 4.6w - 3 + 6.4x - 1.9y, the terms are 4.6w, - 3, 6.4x, and - 1.9y, and the coefficients are 4.6, 6.4, and -1.9 respectively.

Know more about "terms and coefficients" here: brainly.com/question/13867708

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8 0
1 year ago
Lines m and n are parallel on a coordinate plane. Lines m and n are transformed by the same rotation, resulting in image lines s
Ulleksa [173]

The  statement that best  describes the relationship between lines s and t is: Lines s and t are parallel.

<h3>What are parallel lines?</h3>

Parallel lines can be defined as those lines that are equal to one another but does not intersect one another.

For Lines s and t to be parallel lines this means that lines s ant t are cut by transversal. Hence, transversal intersect lines s and t to make it parallels lines.

Therefore Lines s and t are parallel.

Learn more about parallel lines here:brainly.com/question/24607467

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5 0
1 year ago
Urgent Fast!!!!!!!??????​
faltersainse [42]

If he has 484 plants and there are as many rows as there are plants in each row, his field is a square.

The area of a square = (side)^2

In this problem,

Area = 484

side = # of rows

Let's plug our values into the formula above

484 plants = (side)^2

Take the sqrt of both sides.

22 rows = side.

8 0
3 years ago
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The difference between 8 forty-sevens and forty-sevens
melisa1 [442]
847 s - 47 I think that’s what it is
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