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3 years ago

6

Write the equation of the line that passes through the points (8,5) and (-8,-5). Put your answer in fully reduced point-slope fo

rm, unless it is a vertical or horizontal line.

2 answers:

klemol [59]3 years ago

5 0

Answer:

y-5=5/8(x-8)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-5-5)/(-8-8)

m=-10/-16

simplify

m=5/8

y-y1=m(x-x1)

y-5=5/8(x-8)

Monica [59]3 years ago

3 0

Answer:

x 8 skeiehrieheodbdoeneorbro

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A hyperbola centered at the origin has verticies at (add or subtract square root of 61,0 and foci at (add or subtract square roo

deff fn [24]

Answer:

$\frac{x^2}{61}-\frac{y^2}{37} =1$

Step-by-step explanation:

The standard equation of a hyperbola is given by:

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

where (h, k) is the center, the vertex is at (h ± a, k), the foci is at (h ± c, k) and c² = a² + b²

Since the hyperbola is centered at the origin, hence (h, k) = (0, 0)

The vertices is (h ± a, k) = (±√61, 0). Therefore a = √61

The foci is (h ± c, k) = (±√98, 0). Therefore c = √98

Hence:

c² = a² + b²

(√98)² = (√61)² + b²

98 = 61 + b²

b² = 37

b = √37

Hence the equation of the hyperbola is:

$\frac{x^2}{61}-\frac{y^2}{37} =1$

6 0

3 years ago

Help for geometry asap

Llana [10]

<u>Given</u>:

Four lines are marked proportion, the length of TW can be determined by

$TW=a+4+b$

<u>Value of a:</u>

Let us set the proportion for the given lines.

Thus, we have;

$\frac{a}{7}=\frac{4}{5}$

$5a=28$

$a=5.6$

Thus, the value of a is 5.6

<u>Value of b:</u>

Let us set the proportion for the given lines.

Thus, we have;

$\frac{4}{5}=\frac{b}{5}$

$20=5b$

$4=b$

Thus, the value of b is 5.

<u>Length of TW:</u>

The length of TW is given by

$TW=5.6+4+4$

$TW=13.6$

Thus, the length of TW is 13.6

3 0

3 years ago

Blaire walked around her garden in the morning and saw that 18 of her tomato plants had tomatoes ready to pick. If this was 90%

vredina [299]

Blaire has 20 tomato plants altogether.

Step-by-step explanation:

Given,

Tomatoes plants ready to pick = 18

This represents 90% of total tomato plants.

Let,

x be the original number of tomato plants.

90% of x = 18

$\frac{90}{100}*x=18$

$0.9x=18$

Dividing both sides by 0.9

$\frac{0.9x}{0.9}=\frac{18}{0.9}$

$x=20$

Blaire has 20 tomato plants altogether.

Keywords: percentage, division

Learn more about division at:

#LearnwithBrainly

7 0

3 years ago

Which of the equations are true identities? A. N ( n − 2 ) ( n + 2 ) = n 3 − 4 n B. ( x + 1 ) 2 − 2 x + y 2 = x 2 + y 2 + 1

ICE Princess25 [194]

Answer:

Both A and B are true identities

Step-by-step explanation:

A. N ( n − 2 ) ( n + 2 ) = n 3 − 4 n

We need to show that (left-hand-side)L.H.S = R.H.S (right-hand-side)

So,

n ( n − 2 ) ( n + 2 ) = n(n² - 2²) (difference of two squares)

= n³ - 2²n (expanding the brackets)

= n³ - 4n (simplifying)

So, L.H.S = R.H.S

B. ( x + 1 )² − 2x + y² = x² + y² + 1

We need to show that (left-hand-side)L.H.S = R.H.S (right-hand-side)

So,

( x + 1 )² − 2x + y² = x² + 2x + 1 - 2x + y² (expanding the brackets)

= x² + 2x - 2x + 1 + y² (collecting like terms)

= x² + 1 + y²

= x² + y² + 1 (re-arranging)

So, L.H.S = R.H.S

So, both A and B are true identities since we have been able to show that L.H.S = R.H.S in both situations.

7 0

3 years ago

Shelly paid $2.00 per kg for the item that weighs 25% of the total weight of the 4 items calculate the amount of money she paid

madam [21]

1.000 is the answers 2000 25 100

6 0

3 years ago