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2 years ago

the measure of an exterior angle of a triangle is greater than the measure of either of its remove interior angles

Mathematics

2 answers:

RUDIKE [14]2 years ago

8 0

Answer

Step-by-step explanation:

postnew [5]2 years ago

7 0

Answer:

what do u want exactly or it us a theorem

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What’s the vertex form of F(x)=x^2+2x-3

kupik [55]

Answer:

$\large\boxed{f(x)=(x+1)^2-4}$

Step-by-step explanation:

$\text{The vertex form of a quadratic equation}\ f(x)=ax^2+bx+c:\\\\f(x)=a(x-h)^2+k\\\\(h,\ k)-\text{vertex}\\=====================================$

$\bold{METHOD\ 1:}\\\\\text{convert to the perfect square}\ (a+b)^2=a^2+2ab+b^2\qquad(*)\\\\f(x)=x^2+2x-3=\underbrace{x^2+2(x)(1)+1^2}_{(*)}-1^2-3\\\\f(x)=(x+1)^2-4\\==============================$

$\bold{METHOD\ 2:}\\\\\text{Use the formulas:}\ h=\dfrac{-b}{2a},\ k=f(k)\\\\f(x)=x^2+2x-3\to a=1,\ b=2,\ c=-3\\\\h=\dfrac{-2}{2(1)}=\dfrac{-2}{2}=-1\\\\k=f(-1)=(-1)^2+2(-1)-3=1-2-3=-4\\\\f(x)=(x-(-1))^2-4=(x+1)^2-4$

4 0

3 years ago

Evaluate g(x) = x2 + 5 given the inputs (-1,0,1,2}

mihalych1998 [28]

Answer:

g(-1) = 6

g(0) = 5

g(1) = 6

g(2) = 9

Step-by-step explanation:

Step 1: Plug in -1 for x

g(-1) = (-1)² + 5

g(-1) = 1 + 5

g(-1) = 6

Step 2: Plug in 0 for x

g(0) = 0² + 5

g(0) = 0 + 5

g(0) = 5

Step 3: Plug in 1 for x

g(1) = 1² + 5

g(1) = 1 + 5

g(1) = 6

Step 4: Plug in 2 for x

g(2) = 2² + 5

g(2) = 4 + 5

g(2) = 9

5 0

2 years ago

HELP CALCULUS 25 POINTS

shepuryov [24]

Answer:

A.) Max at x = 6 and Min at x = -6

Step-by-step explanation:

We say that f(x) has a relative (or local) maximum at x=c if f(x)≤f(c) f ( x ) ≤ f ( c ) for every x in some open interval around x=c . We say that f(x) has an absolute (or global) minimum at x=c if f(x)≥f(c) f ( x ) ≥ f ( c ) for every x in the domain we are working on.

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3 years ago

You are attempting to make a scale drawing of your room. The actual size of your room is 12 feet

olga2289 [7]

Answer:

width = 8 inches

length = 10 inches

Step-by-step explanation:

width= 12/1.5

= 8

length = 15/1.5

= 10

6 0

3 years ago

The numbers 1, 2, 3, 4, 5, 6 are written on identical cards and placed in a bag. A card is selected at

AleksandrR [38]

Answer:

yes yes yes yes yes yes yes

8 0

2 years ago

the measure of an exterior angle of a triangle is greater than the measure of either of its remove interior angles​

the measure of an exterior angle of a triangle is greater than the measure of either of its remove interior angles