Can yall help me with this pls pls

The center of a hyperbola is (-5,8). The length of the conjugate axis is 6 units, and the length of the transverse axis is 14 un

serious [3.7K]

Answer:

$(\frac{x+5}{3}) ^{2}+ (\frac{y-8}{7} )^{2} =1$

Step-by-step explanation:

IMPORTANT FORMULA: the standard equation of a hyperbola whose transverse axis is parallel to the y axis is:

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

where, (h,k) : center of the hyperbola

a : semi conjugate axis [ length of conjugate axis/2]

b: semi transverse axis [ length of transverse axis/2]

so, here a=3, b=7, [h,k]=[-5,8]

by substituting these values in the above given formula,

the equation of the hyperbola in standard form is :

$(\frac{x-(-5)}{3}) ^{2}+ (\frac{y-8}{7} )^{2} =1$

$(\frac{x+5}{3}) ^{2}+ (\frac{y-8}{7} )^{2} =1$

8 0

4 years ago

1. Solve this problem: –282 – (+1,017) = ? A. 735

Vikki [24]

The correct answers are:

(1) (Option B) -1299

(2) (Option A) -2

(3) (Option A) b < 13

(4) (Option D) m = 5

(5) (Option D) 6

(6) (Option B) 2

(7) (Option A) p > 11

(8) (Option B) x = 6

(9) (Option A) h < –9

(10) (Option B) C = D ÷ AB

(11) (Option B) y = –45

(12) (Option A) y = 11

(13) (Option D) q = 13

(14) (Option A) M = K/LN

(15) (Option C) h = 63

(16) (Option C) –3p + 11

(17) (Option C) $10\frac{1}{4}$

(18) (Option D) y = 31

(19) (Option D) R = E ÷ I

(20) (Option B) y = 4

Explanations:

(1) The Given Expression:

-282 - (+1017)

= -282 - 1017

= -1299 (Option B)

(2) The total balance = $35

One check = $10

Three checks = 3 * $9 = $27

Balance now = Total balance - One check + Three check = $35 - $10 - $27 = -2 (Option A)

(3) The given expression:

3b – 7 < 32

Add 7 on both sides:

3b -7 + 7 < 32 + 7

3b < 39

Divide by 3 on both sides:

$\frac{3b}{3}$

b < 13 (Option A)

(4) The given expression:

4m + 9 + 5m – 12 = 42

9m = 42 + 12 - 9

9m = 45

Divide both sides with 9:

$\frac{9m}{9} =\frac{45}{9} \\ m=5$

The correct answer is m=5 (Option D)

(5) The given expression:

13 + (–12) – (–5)

= 13 - 12 + 5

= 6 (Option D)

(6) Mathematically, we can write "four times a number plus 3 is 11" as:

4x + 3 = 11

Where,

x = The number we require

4x = 11 - 3

4x = 8

x = 2 (Option B)

(7) The given expression:

12p + 7 > 139

Subtract 7 on both sides:

12p + 7 - 7 > 139 -7

12p > 132

Divide 12 on both sides:

$\frac{12p}{12} >\frac{132}{12}$

p > 11 (Option A)

(8) The given equation:

7x = 42

Divide the equation with 7 on both sides:

$\frac{7x}{7} =\frac{42}{7}$

x = 6 (Option B)

(9) The given expression:

9h + 2 < –79

Subtract 2 on both sides:

9h + 2 - 2 < -79 - 2

9h < -81

h < -9 (Option A)

(10) The given equation:

D = ABC

Now divide both sides with AB on both sides:

$\frac{D}{AB} =\frac{ABC}{AB} \\ C =\frac{D}{AB}$

Hence C = D ÷ AB (Option B)

(11) Given equation:

$\frac{y}{9} + 5 = 0$

Subtract 5 on both sides:

$\frac{y}{9} +5 -5 = 0 -5$

y = -5*9 = -45

y = -45 (Option B)

(12) Given equation:

12y = 132

Divide both sides by 12:

$\frac{12y}{12} =\frac{132}{12}$

y = 11 (Option A)

(13) The given equation:

3q + 5 + 2q – 5 = 65

5q = 65

Divide both sides with 5 and simplify:

q = 13 (Option D)

(14) Given formula:

K = LMN

To find M, divide both sides with LN:

$\frac{K}{LN} =\frac{LMN}{LN} \\ M = \frac{K}{LN}$

Hence the correct answer is $M = \frac{K}{LN}$ (Option A)

(15) Given formula:

h/9 = 7

Multiply both sides with 9:

h = 7 * 9

h = 63 (Option C)

(16) Given expression:

4p + 9 + (-7p) + 2

4p + 9 -7p +2

-3p + 11 (Option C)

(17) The given formula:

16y = 164

Divide both sides with 16:

$\frac{16y}{16} =\frac{164}{16} \\ y = 10\frac{1}{4}$

Hence the correct answer is (Option C) $y = 10\frac{1}{4}$

(18) Given equation:

4y + 228 = 352

Subtract both sides with 228:

4y + 228 - 228 = 352 - 228

4y = 124

Divide both sides by 4 and simplify:

y = 31 (Option D)

(19) The given formula:

E = IR

To find R, divide both sides with I:

R = E ÷ I (Option D)

(20) Given equation:

6y - 20 = 2y - 4

=> 6y - 2y = -4 + 20

=> 4y = 16

Divide both sides with 4 and simplify:

y = 4 (Option B)

7 0

4 years ago

Read 2 more answers

HI I NEVER KNEW HOW TO DO THIS BUT I DO SO CAN YALL REALLY HELP ME PLEASE

Aliun [14]

Answer:

A. 4/15 and 0.26 repeating

Step-by-step explanation:

As we see in the long division, 4/15 is equal to 0.26666666666666666666666 (or. 0.26 repeating).

4/15

4 doesn't go into 15, so add a zero.

4.0/15

40 goes into 15 twice

40 - 30 is 10. 10 is less than 15 so add a 0.

4.00

100 goes into 15 6 times.

100 - 90 is 10. 10 is less than 15, so add a 0.

The 100 into 15 process repeats, so there's your answer.

8 0

3 years ago

Read 2 more answers

Can someone please help me

Sonja [21]

Answer:

(7,9)

Step-by-step explanation:

7x - 8y = -23

7x - 7y = -14

Solve the equation for 7x

7x - 8y = -23

7x = -14 + 7y

Substitute the given value of 7x into the equation 7x - 8y = -23

-14 + 7y - 8y = -23

solve the equation for y

y = 9

substitute the given value of y into the equation 7x = -14 + 7y

7x = -14 + 7(9)

solve the equation for x

x = 7

5 0

3 years ago

Find the area of the triangle

Ray Of Light [21]

For this questions you need to memorize formula of triangle area. for question 5, just substitute the value into the formula. for Q6 you need to use pythagorean theorem formula to find the lenght of each triangle that i already seperated

4 0

3 years ago