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Ilia_Sergeevich [38]
3 years ago
11

For each equation, tell whether its graph is a horizontal or verticle line

Mathematics
1 answer:
Molodets [167]3 years ago
4 0
Y= something is horizontal

x= something is vertical

1 hor
2 ver
3 hor
4 ver
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Which of the following statements about an ellipse is NOT true?
jeyben [28]

Answer: (b) The focus of an ellipse is always located precisely at the center of the ellipse.

Step-by-step explanation:

An ellipse is defined as <em>"a closed curve with two axes of symmetry (major axis and minor axis) that results in cutting the surface of a cone by an oblique plane to the axis of symmetry with an angle greater than that of the generatrix with respect to the axis of revolution"</em>. That is why the ellipse is considered a conic figure.

To understand it better: an ellipse has two points on its major axis that are equidistant from the center , which are called foci,  being this distance constant. In addition, the eccentricity allows to know how far the foci are from the center of the ellipse.

Therefore, the statement that indicates an ellipse has only one focus located  precisely at the center is incorrect.

7 0
3 years ago
Complete the equation of the line through (-10,-7)(−10,−7)left parenthesis, minus, 10, comma, minus, 7, right parenthesis and (-
Rom4ik [11]

Answer:

Step-by-step explanation:Given:

Two points (-10,-7),(-5,-9).

To Find:

Equation of line through these points?

Step-by-step explanation:

We know equation of line through is given by

               

Put the value in equation we get

         

Hence, equation of line is 5y+2x=-55.

5 0
1 year ago
Read 2 more answers
The temperature of a city changed by -20°C over a four week. If the temperature changed by the same amount each week write an ex
andre [41]

Answer:

A)  T=\frac{-20}{4}

B) T = -5 °C

Step-by-step explanation:

A) Let T be the change in temperature of the week. T is determined as the total temperature change (-20°C) divided by the number of weeks that have passed (4 weeks). The expression is:

T=\frac{-20}{4}

B) In order to simplify the expression, simply perform the division.

T=\frac{-20}{4}\\T=-5^oC

This means that the temperature has dropped by 5 degrees each week.

8 0
3 years ago
Does 32.60 round up or round down
adelina 88 [10]

That all depends what place you want it rounded to.

Rounding to the nearest tenth, it becomes  32.6 .
Rounding to the nearest whole number, it becomes,  33 .
Rounding to the nearest ten or higher order of magnitude, it becomes zero.

3 0
3 years ago
A. Evaluate the polynomial
sdas [7]

Answer:

a) y = x³− 5x² + 6x + 0.55 at x = 1.37.

Use 3-digit arithmetic with chopping. Evaluate the percent relative round-off error.

-1.183%

b. Express y as y = ((x − 5)x + 6)x + 0.55 (this is the same equation). Use again 3-digit arithmetic with chopping. Evaluate the percent relative round-off error and compare with part (a). Make the conclusion about which form of the polynomial is superior.

-0.161%

Comparing part a and b together, part b is more superior because the percent(%) error is smaller when compared to part a

Step-by-step explanation:

a) y = x³− 5x² + 6x + 0.55 at x = 1.37.

Use 3-digit arithmetic with chopping. Evaluate the percent relative round-off error.

Let's evaluate before applying the 3 digit arithmetic chopping rule

y = 1.37³ - 5 × 1.37² + 6 × 1.37 + 0.55

y = 1.956853

Let evaluate each components of the polynomial one by one

Note that: 3-digit arithmetic chopping means to approximate chop off or remove number after the 3 significant figures.

y = x³− 5x² + 6x + 0.55 at x = 1.37.

x³ = 1.37³ = 2.571353

≈ 2.57

x² = 1.37² = 1.8769

≈ 1.88

5x² = 1.87 × 5

= 9.35

x = 1.37

6x = 1.37 × 6

6x = 8.22

Evaluating the polynomial

y = 2.57 - 9.38 + 8.22 + 0.55

y = 1.98

The percent relative round-off error =

1.956853 - 1.98/1.956853 × 100

= -1.183%

b. Express y as y = ((x − 5)x + 6)x + 0.55 (this is the same equation). Use again 3-digit arithmetic with chopping. Evaluate the percent relative round-off error and compare with part (a). Make the conclusion about which form of the polynomial is superior.

y = ((x − 5)x + 6)x + 0.55

Evaluating with the 3 digit chop off rule is applied

= ((1.37 - 5)1.37 + 6)1.37 + 0.55

=( 1.8769 - 6.85) + 6) 1.37 + 0.55

= (- 4.9731 + 6 )1.37 + 0.55

= 1.0269 × 1.37 + 0.55

= 1.406853

= 1.956853.

≈ 1.96

Note in: evaluating before applying the 3 digit arithmetic chopping rule

y = 1.37³ - 5 × 1.37² + 6 × 1.37 + 0.55

y = 1.956853

The percent relative round-off error

1.956853 - 1.96/1.956853 × 100

= -0.161%

Comparing part a and b together, part b is more superior because the percent(%) error is smaller when compared to part a

3 0
3 years ago
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