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torisob [31]
3 years ago
9

Rewrite the equation by completing the square. x^2 +7x +12 = 0

Mathematics
1 answer:
andrew11 [14]3 years ago
6 0

Answer:

(x+7/2)^2-1/4

Step-by-step explanation:

x^2 +7x +12 = 0

Write x^2+7x+12 in the form x^2+2ax+a^2: 2a=7; a=7/2

Add and subtract 7/2^2: x^2+7x+12+(7/2)^2-(7/2)^2

Complete the square: (x+7/2)^2+12-(7/2)^2

Simplify: (x+7/2)^2-1/4

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Find the measure of angle A.<br> Can someone help
Zarrin [17]

80+x+45+2x+55=180

3x+100+80=180

3x=0

X=0

Measure of angle a=45

8 0
3 years ago
-5/4-(-1/6) help please
tiny-mole [99]
A way to add fractions that always works is to multiply each numerator by the denominator of the other, then express the sum of products over the product of the denominators.
\dfrac{a}{b}+\dfrac{c}{d}=\dfrac{a}{b}\cdot\dfrac{d}{d}+\dfrac{c}{d}\cdot\dfrac{b}{b}\\\\=\dfrac{ad+bc}{bd}

Here, you have
\dfrac{-5}{4}-\dfrac{-1}{6}=\dfrac{-5\cdot6-(-1)\cdot4}{4\cdot6}=\dfrac{-26}{24}\\\\=\dfrac{-13}{12}=-1\frac{1}{12}

The sum is -1 1/12
3 0
3 years ago
The play director spent 190190190190 hours preparing for a play. That time included attending 35353535 rehearsals that took vary
Genrish500 [490]

Answer:

The equation above represents the total time the play director spent preparing for a play.

Step-by-step explanation:

The time spent by the play director for preparing for a play is, 190 hours.

Of these 190 hours, the director spent varying amounts of time attending 35 rehearsals for the play.

Let the varying amounts of time be denoted by, <em>x</em>.

The director also spent 3/4th of an hour, i.e. 45 minutes, on other responsibilities related to the play.

The equation provided is:

35x+\frac{3}{4}=190

The equation above represents the total time the play director spent preparing for a play.

7 0
3 years ago
SIMPLIFY THE EXPRESSION.<br> 9(1 - 7x)
jok3333 [9.3K]

Answer:

9-63x

Step-by-step explanation:

9(1-7x)

9-63x

7 0
3 years ago
Read 2 more answers
Given the rule: an=7(1/2)n-1 identify the first term
Shkiper50 [21]

Answer:

  • using the rule given: 2.5
  • using an exponential rule: 7

Step-by-step explanation:

Evaluating the linear rule given, for n = 1, we have ...

  a1 = 7(1/2)(1) -1 = 7/2 -1 = 5/2 = 2.5

_____

We suspect you may intend the exponential function ...

  an = 7(1/2)^(n-1)

Then, for n = 1, we have ...

  a1 = 7(1/2)^(1 -1) = 7(1) = 7 . . . . the first term is 7

_____

When writing an exponential expression in plain text, it requires the exponential operator, a caret (^). If the exponent contains any arithmetic, as this one does, it must be enclosed in parentheses.

3 0
3 years ago
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