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3 years ago

Rearrange and make r as the subject

Mathematics

1 answer:

natulia [17]3 years ago

4 0

Answer:

r= -d x -t + w

Step-by-step explanation:

d= (w-r)/2 multiply by t to get dt=w-r, the subract w to get dt-w=-r. divide by negative 1 to get -dx-t+w=r (the x means to multiply)

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Write a equation of a hyperbola given the foci and the asymptotes

professor190 [17]

Solution:

The standard equation of a hyperbola is expressed as

$\begin{gathered} \frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1\text{ \lparen parallel to the x-axis\rparen} \\ \frac{(y-k)^2}{a^2}-\frac{(x-h)^2}{b^2}=1\text{ \lparen parallel to the y-axis\rparen} \end{gathered}$

Given that the hyperbola has its foci at (0,-15) and (0, 15), this implies that the hyperbola is parallel to the y-axis.

Thus, the equation will be expressed in the form:

$\frac{(y-k)^2}{a^2}-\frac{(x-h)^2}{b^2}=1\text{ ----equation 1}$

The asymptote of n hyperbola is expressed as

$y=\pm\frac{a}{b}(x-h)+k$

Given that the asymptotes are

$y=\frac{3}{4}x\text{ and y=-}\frac{3}{4}x$

This implies that

$a=3,\text{ and b=4}$

To evaluate the value of h and k,

$undefined$

3 0

1 year ago

an 8 by 19 ft wall has three 4 by 5 ft windows.the area of the three windows is what percent of the area of the entire wall (inc

erica [24]

Answer:

39.5% (3 sf)

Step-by-step explanation:

Area of 1 window: 4×5 = 20 ft²

2 windows: 3×20 = 60ft²

Area of the wall: 8×19 = 152 ft³

Percentage of window area:

60/152 × 100 = 39.47368421%

= 39.5% (3 sf)

4 0

3 years ago

Will give correct answer brainliest

Helga [31]

Answer:

can you please type it cause I can't see I help

6 0

3 years ago

What is the equation of the line that is perpendicular to the given line and passes through the point (5,3)

Pani-rosa [81]

perpendicular lines have a slope that is a negative reciprocal

A) 4x-5y=5

subtract 4x

solve for y

-5y = -4x+5

divide by -5

y = 4/5 x+5 slope is 4/5 perpendicular slope is -5/4

y -y1 =m(x-x1) point slope form of a line

y-3 = -5/4 (x-5)

B) 5x+4y = 37

subtract 5x

4y =-5x +37

divide by 4

y =-5/4 x +37/4 slope is -5/4 perpendicular slope is 4/5

y -y1 =m(x-x1) point slope form of a line

y-3 = 4/5 (x-5)

C)4x+5y=5

subtract 4x

5y = -4x +5

divide by 5

y = -4/5 x +1

y =-4/5 x +1 slope is -4/5 perpendicular slope is 5/4

y -y1 =m(x-x1) point slope form of a line

y-3 = 5/4 (x-5)

D)5x-4y=8

subtract 5x

-4y = -5x+8

divide by -4

y = 5/4 x-2

y =5/4 x +-2 slope is 5/4 perpendicular slope is -4/5

y -y1 =m(x-x1) point slope form of a line

y-3 = -4/5 (x-5)

6 0

3 years ago

This question is realy hard so helpp

LUCKY_DIMON [66]

Answer:

Algebrically the result can be written as -

$9 {x}^{2} + 24x + 16$

Step-by-step explanation:

Let the number be 'x'.

When multiplied by 3 , algebrically it is written as "3x".
When 4 is added to 3x , algebrically it is written as "3x + 4".
When (3x + 4) is squared completely , algebrically it is written as - ${(3x + 4)}^{2} = 9 {x}^{2} + 24x + 16$

8 0

3 years ago