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3 years ago

Can anybody write and explain this please?

Mathematics

1 answer:

Levart [38]3 years ago

6 0

Answer:38

Step-by-step explanation:

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The arch of a bridge forms the upper half of an ellipse. The arch is 6 meters above the 20-meter-wide river. Write an equation f

aksik [14]

Answer:

$\frac{x^2}{36} + \frac{y^2}{100} = 1$

Step-by-step explanation:

Required

The equation of the ellipse

This is calculated as:

$\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$

Where:

$b =6$ ---- height

$a = 0.5 * 20 =10$ --- width

So:

$\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$

$\frac{x^2}{6^2} + \frac{y^2}{10^2} = 1$

$\frac{x^2}{36} + \frac{y^2}{100} = 1$

3 0

3 years ago

Find the equation of a line perpendicular to −4x+4y=4 that contains the point (−4,5).

kati45 [8]

Answer:

y = - x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange - 4x + 4y = 4 into this form by adding 4x to both sides

4y = 4x + 4 ( divide all terms by 4 )

y = x + 1 ← in slope- intercept form

with slope m = 1

given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{1}$ = - 1, thus

y = - x + c ← is the partial equation

To find c substitute (- 4, 5) into the partial equation

5 = 4 + c ⇒ c = 5 - 4 = 1

y = - x + 1 ← equation of perpendicular line

4 0

3 years ago

Read 2 more answers

What is the solution to this system if equations

Inessa05 [86]

solution is (x, y ) → (- 1, 4 )

y + 2x = 2 → (1)

y + 4x = 0 → (2)

subtract equation (1) from (2) to eliminate term in y

(y - y ) + (4x - 2x ) = (0 - 2 )

2x = - 2 ( divide both sides by 2 )

x = - 1

substitute x = - 1 in either (1) or (2) and solve for y

(1) → y - 2 = 2 ( add 2 to both sides )

y = 4

solution is (x, y ) → (- 1, 4 )

7 0

3 years ago

One-half of the sum of 3 times v and twenty-eight

DIA [1.3K]

Answer:

(1/2)(3v+28)

Step-by-step explanation:

of= multiply

sum= add

5 0

3 years ago

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What number is the next term in the number pattern? 1/10, 3/12, 7/14, 13/16, … Enter your answer in the box.

postnew [5]

Answer:

A. 21/18

Step-by-step explanation:

The numerator pattern is adding 2 every time to the difference (ex: difference between 1 and 3 is 2, then difference between 3 and 7 is 4). Meanwhile the denominator is only adding 2 everytime.

3 0

3 years ago