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3 years ago

14

In the 1500s, john calvin left france

1 answer:

labwork [276]3 years ago

4 0

Step-by-step explanation:

it was in the year 1536 that John Calvin decided to leave France in order to separate himself from the staunch practices of the Roman catholic church. After leaving France he decided to go to Strasbroug. but since there was a war between Charles V and Francis I he made a detour to Geneva.

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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:

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

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

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

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3 years ago

Can someone help me with #6? (area of circles)

Vlad1618 [11]

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3 years ago

Find the value of x. I WILL GIVE YOU BRAINLIEST!!!!

Elan Coil [88]

Hi there!

$\large\boxed{x = 40}$

We can solve for x knowing that the sum of interior angles in a triangle is 180°.

The square at the bottom indicates a right angle, or 90°. Therefore:

180 = 90 + x + (x + 10)

Combine like terms:

180 = 100 + 2x

Subtract 100 from both sides:

180 - 100 = 2x

80 = 2x

Divide both sides by 2:

x = 40.

5 0

3 years ago

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Dominique spent $31.41 on 9 bags of Takis. How much did each bag cost?

suter [353]

Each one cost $3.49

8 0

3 years ago

Read 2 more answers

The fifth grade students 15/20 went to the book fair of the students who went to the book fair 12/16 bought at least one book wh

grin007 [14]

Answer:

$\frac{9}{16}$

Step-by-step explanation:

Out of a total of 1, $\frac{15}{20}$ went to the fair and $\frac{12}{16}$ OF THOSE, bought atleast one book.

To find the fraction of students who bought at least one book, we will multiply both the fractions. That is the answer. Shown below:

$\frac{15}{20}*\frac{12}{16}\\=\frac{3}{4}*\frac{3}{4}\\=\frac{9}{16}$

Answer is $\frac{9}{16}$

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3 years ago