We're doing writing equations with Point & Slope through: (5,1) slope= 4/5 good luck lol

Mathematics

1 answer:

astraxan [27]3 years ago

7 0

Answer:

y = 0.8x - 3

Step-by-step explanation:

See attached screenshot solution using Desmos

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If g(x) = 4x^2 - 16 were shifted 7 units to the right and 3 down, what would the

Kitty [74]

Answer:

The new equation is $h(x)=4(x-7)^2-19$

Step-by-step explanation:

Given : Function $g(x) = 4x^2 - 16$ were shifted 7 units to the right and 3 down.

To find : What would the new equation be?

Solution :

Shifting to the right with 'a' unit is

f(x)→f(x-a)

So, shifting g(x) 7 units to the right is

$h(x) = 4(x-7)^2-16$

Shifting to the down with 'b' unit is

f(x)→f(x)-b

So, shifting g(x) 3 units down is

$h(x)=(4(x-7)^2-16)-3$

$h(x)=4(x-7)^2-19$

The new equation is $h(x)=4(x-7)^2-19$

8 0

3 years ago

Jada is visiting New York City to see the Empire State building. She is 100 feet away when she spots it. To see the top, she has

Ilia_Sergeevich [38]

(sin(86.10) * 100 ) / (sin(3.90)) = 1466.85 ft.

(3.90 is the angle of the top to Jada. (180 - (86.1+90))

7 0

3 years ago

PLS PLS HELP, I DONT WANT TO FAIL!!

Flura [38]

Answer:

2.0 seconds

Step-by-step explanation:

Given quadratic functions:

$\begin{cases}y=-7x^2+26x+3\\y=-6x^2 +23x+5\end{cases}$

To find the time, in seconds, that the balloons collided at the highest point, substitute one equation into the other equation and rearrange to equal zero:

$\begin{aligned}-6x^2+23x+5 & = -7x^2+26x+3\\-6x^2+23x+5+7x^2 & = -7x^2+26x+3+7x^2\\x^2+23x+5 & = 26x+3\\x^2+23x+5-26x & = 26x+3-26x\\x^2-3x+5& = 3\\x^2-3x+5-3& = 3-3\\x^2-3x+2& = 0\end{aligned}$