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3 years ago

16 inches to centimeters

Mathematics

2 answers:

timofeeve [1]3 years ago

8 0

Answer:

41 centimeters

Step-by-step explanation:

1 centimeter = 0.394 inches

0.394 x 41 = 16.154

It does not have an exact answer, so the one that is most approximated is 41

asambeis [7]3 years ago

7 0

Answer:

In centimeters, it would be 40.64 centimeters.

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The slope-intercept form given (6,-5) & perpendicular to -5x - 7y = -17.

tatuchka [14]

Answer:

$y=\dfrac{7}{5}x-\dfrac{67}{5}$

Step-by-step explanation:

Slope-intercept form of a linear equation:

$y=mx+b$

where:

m is the slope.
b is the y-intercept.

Rearrange the given equation so that it is in slope-intercept form:

$\implies -5x-7y=-17$

$\implies -7y=5x-17$

$\implies y=-\dfrac{5}{7}x+\dfrac{17}{7}$

Therefore, the slope of the given equation is -⁵/₇.

If two lines are perpendicular to each other (at right angles), the product of their slopes will be -1. Therefore, their slopes will be negative reciprocals of each other.

Therefore, the slope of the line perpendicular to the given equation is:

$\sf m=\dfrac{7}{5}$

Substitute the found slope and the given point (6, -5) into the slope-intercept formula and solve for b:

$\implies -5=\dfrac{7}{5}(6)+b$

$\implies -5=\dfrac{42}{5}+b$

$\implies b=-\dfrac{67}{5}$

Substitute the found slope and the found value of b into the slope-intercept formula to create the equation for the perpendicular line:

$\implies y=\dfrac{7}{5}x-\dfrac{67}{5}$

Learn more about slope-intercept form here:

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8 0

1 year ago

Can anyone help me with this please I need help

Gnoma [55]

Answer:

................. ...........

3 0

3 years ago

Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the zeros 4 and 3−

Neko [114]

Answer:

$P(x) = x^3 - 10x^2+ 34x-40$

Step-by-step explanation:

Given

$p =1$ -- Leading coefficient

$Zeros: 4\ and\ 3 - i$

Required

Determine the polynomial

Represent the zeros with a and b

Such that

$a = 4$

$b = 3 - i$

The polynomial is:

$P(x) = p * (x - a) * (x - b)$

$P(x) = 1 * (x - 4) * (x - (3 - i))$

However, to solve further: We need to symmetrise over 3-i and its conjugate

$P(x) = 1 * (x - 4) * (x - (3 - i))* (x - (3 + i))$

$P(x) = (x - 4) * (x - (3 - i))* (x - (3 + i))\\\\$

To define a suitable function, the expression becomes

$P(x) = (x - 4) * ((x - 3)^2+1)$

$P(x) = (x - 4) * ((x - 3)(x - 3)+1)$

$P(x) = (x - 4) * (x^2 - 6x + 9+1)$

$P(x) = (x - 4) * (x^2 - 6x +10)$

Open bracket

$P(x) = x^3 - 6x^2 +10x - 4x^2 + 24x-40$

$P(x) = x^3 - 6x^2 - 4x^2+10x + 24x-40$

$P(x) = x^3 - 10x^2+ 34x-40$

5 0

3 years ago

The vertices of shape K are at (4,7), (7, 7), (7,4) and (5, 5).

son4ous [18]

Answer:

To find the scale factor of the enlargement, compare the distance between a pair of corresponding points from both shapes.

Shape K

A = (4, 7)

B = (7, 7)

C = (7, 4)

D = (5, 5)

Horizontal distance between A (4, 7) and B (7, 7) = 3 units

Shape L

A' = (0, 11)

B' = (9, 11)

C' = (9, 2)

D' = (3, 5)

Horizontal distance between A' (0, 11) and B' (9, 11) = 9 units

9 ÷ 3 = 3

Therefore, Shape L is an enlargement of Shape K by scale factor 3.

To find the center of dilation (enlargement), draw two lines through 2 corresponding points (e.g. A and A', B and B') - the point of intersection of these lines is the center of dilation.

Therefore, the center of enlargement is (6, 5) (refer to the second attached image).

6 0

1 year ago

What is the constant of variation for the inverse variation?

eimsori [14]

Negative two..................

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3 years ago