3 years ago

What is the vertex form of y=x^2+14x+50 and how do u get it?

Mathematics

1 answer:

valkas [14]3 years ago

6 0

(x`-b/2a)-D/4a
(x`-7)+576
answer! (7;-576)

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Please help me for this question

Nezavi [6.7K]

Answer:

Mid-point: $(0,-5)$

Equation: $y=\frac{7}{3}x-5$

Step-by-step explanation:

To find the mid-point of AB, simply add up their x and y coordinates and divide by 2 respectively to find their middle point.

$(\frac{{x__A}+{x__B}}{2},\frac{{y__A}+{y__B}}{2})$

$(\frac{{-7}+{7}}{2},\frac{{-2}+{(-8)}}{2})$

$(0,-5)$

To find the perpendicular slope that passes through the mid-point, we need to know the slope between AB first.

Slope of AB: $\frac{{y__2}-{y__1}}{{x__2}-{x__1}}$ = $\frac{{-8}-{-2)}}{{7}-{(-7)}}$ = $\frac{-6}{14}$ = $\frac{-3}{7}$

Multiplying slopes that are perpendicular with each other always results in -1.

$\frac{-3}{7}*m = -1$

$m=\frac{7}{3}$

By the point slope form:

$({y}-{y__1})=m({x}-{x__1})$

Plug in the coordinates of the mid-point:

$({y}-{(-5)})=\frac{7}{3} ({x}-{0})$

Equation: $y=\frac{7}{3}x-5$

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2 years ago

Write the next three terms in each sequence. Make sure your

makvit [3.9K]

Answer:

29,30,31

this is basically like counting just add 1

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3 years ago

Write to explain why i understand 4 tens and 14 tens name the same amount

arsen [322]

Because 4 is in the 10's place and 14's 4 is also in the tens place

5 0

3 years ago

Loxlor<br><img src="https://tex.z-dn.net/?f=10%20%5Ctimes%2010" id="TexFormula1" title="10 \times 10" alt="10 \times 10" align="

Marina CMI [18]

Answer:

Step-by-step explanation:

10 in 10 places is 100. 10*1=10. 10*2=20..10*3=30.10*4=40,. 10*5=50,10*6=60,,,10*7=70,,. 10*8=80,. 10*9=90,. 10*10=100.

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3 years ago

F (n)=-3n^2-4n<br> Find f(4)

defon

Answer:

144

Step-by-step explanation:

f(4)=3*4^2

f(4)=12^2

12*12=144

7 0

3 years ago

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