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3 years ago

What value of y satisfies the system of equations {9x+2y=24y=6x+19? Enter your answer as the correct value for y, like this: 42

Mathematics

1 answer:

nignag [31]3 years ago

3 0

Answer:

Step-by-step explanation:

9x + 2y = 24 (A)

y = 6x + 19 ------ > y - 6x = 19 * (-2) -------> -2y + 6x = -38 (B)

(A) + (B)

15x = -14

x = -14/15

y = 6 * (-14/15) + 19 = -28/5 + 19 = 67/5

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NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by h ( t ) = − 4.

Oliga [24]

Answer:

$\displaystyle 1)48.2 \: \: \text{sec}$

$\rm \displaystyle 2)3021.6 \: m$

Step-by-step explanation:

<h3>Question-1:</h3>

so when flash down occurs the rocket will be in the ground in other words the elevation(height) from ground level will be 0 therefore,

to figure out the time of flash down we can set h(t) to 0 by doing so we obtain:

$\displaystyle - 4.9 {t}^{2} + 229t + 346 = 0$

to solve the equation can consider the quadratic formula given by

$\displaystyle x = \frac{ - b \pm \sqrt{ {b}^{2} - 4 ac} }{2a}$

so let our a,b and c be -4.9,229 and 346 Thus substitute:

$\rm\displaystyle t = \frac{ - (229) \pm \sqrt{ {229}^{2} - 4.( - 4.9)(346)} }{2.( - 4.9)}$

remove parentheses:

$\rm\displaystyle t = \frac{ - 229 \pm \sqrt{ {229}^{2} - 4.( - 4.9)(346)} }{2.( - 4.9)}$

simplify square:

$\rm\displaystyle t = \frac{ - 229 \pm \sqrt{ 52441- 4( - 4.9)(346)} }{2.( - 4.9)}$

simplify multiplication:

$\rm\displaystyle t = \frac{ - 229 \pm \sqrt{ 52441- 6781.6} }{ - 9.8}$

simplify Substraction:

$\rm\displaystyle t = \frac{ - 229 \pm \sqrt{ 45659.4} }{ - 9.8}$

by simplifying we acquire:

$\displaystyle t = 48.2 \: \: \: \text{and} \quad - 1.5$

since time can't be negative

$\displaystyle t = 48.2$

hence,

at 48.2 seconds splashdown occurs

<h3>Question-2:</h3>

to figure out the maximum height we have to figure out the maximum Time first in that case the following formula can be considered

$\displaystyle x _{ \text{max}} = \frac{ - b}{2a}$

let a and b be -4.9 and 229 respectively thus substitute:

$\displaystyle t _{ \text{max}} = \frac{ - 229}{2( - 4.9)}$

simplify which yields:

$\displaystyle t _{ \text{max}} = 23.4$

now plug in the maximum t to the function:

$\rm \displaystyle h(23.4)- 4.9 {(23.4)}^{2} + 229(23.4)+ 346$

simplify:

$\rm \displaystyle h(23.4) = 3021.6$

hence,

about 3021.6 meters high above sea-level the rocket gets at its peak?

5 0

2 years ago

A rectangle has length 72 cm and it’s width 56 cm. The other rectangle has the same area as this one, but its width is 21 cm. Fi

Kryger [21]

A = l*w

A = 72* 56

A= 4032

4032 = L*21

4032/21 =L

L =192

5 0

3 years ago

Solve for X. show your work. (x+2)(x+8)=0

valentinak56 [21]

Step-by-step explanation:

x = -2

x = -8

please follow me

3 0

2 years ago

What is 16 squared?

kodGreya [7K]

16 squared is 256 because if you multiply 16 times 16 you get 256

3 0

3 years ago

Read 2 more answers

NEED ANSWER ASAP!!!! will mark you brainliest!!! Thank you!!!

iVinArrow [24]

Answer:

62°

Step-by-step explanation:

Since one arm making angle x is diameter. So, by inscribed angle theorem, we have:

$x = \frac{1}{2} (180 \degree - 56 \degree) \\ \\ x= \frac{1}{2} \times 124 \degree \\ \\ \huge \red{ \boxed{x = 62 \degree}}$

5 0

3 years ago