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3 years ago

What number would you have to add to both sides to complete the square?

2 answers:

5 0

X^2 + 12x = -6

x^2 + 12 x + 6^2 = -6 + 6^2

(x + 6)^2 = - 6 + 36

(x +6)^2 = 30

In the first step I had to add 6^2 = 36. The answer is option B. 36.

Viktor [21]3 years ago

5 0

I think the answer is A

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Each of the angles of an isosceles triangle is twice as large as the third angle . What is the measure of each angle ?

Sergeeva-Olga [200]

36°, 72°, 72°

let x be the third angle then each of the other 2 angles is 2x

the sum of the angles in a triangle = 180° thus

x + 2x + 2x = 180

5x = 180 ( divide both sides by 5 )

x = $\frac{180}{5}$ = 36

the angles are 36°, 72° and 72°

3 0

3 years ago

What are vertices of the conic 16x² - 25y² = 400 ?

garri49 [273]

Answer:

(-5, 0) and (5, 0)

Step-by-step explanation:

This equation fits the form for a hyperbola with x-intercepts. The standard form for such an equation is

$\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$

To get the equation in the question into this standard form, divide each term by 400.

$\frac{16x^2}{400}-\frac{25y^2}{400}=\frac{400}{400}\\\frac{x^2}{25}-\frac{y^2}{16}=1$

To find the x-intercepts, make y = 0.

$\frac{x^2}{25}=1\\x^2=25\\x=\pm 5$

The vertices are located at the points (-5, 0) and (5, 0).

Note: There are no y-intercepts; making x = 0 produces no real solutions for y.

5 0

2 years ago

What is 2/3(3x+9)=−2(2x+6)

lubasha [3.4K]

Your answer is x= -3

5 0

3 years ago

How to set the answer up

Korolek [52]

Let s and g represents the numbers of suits and gowns produced.

The number of zippers used is 2s+g.

The number of buttons used is 5s+8g.

In order to use all of the available zippers and buttons, we must have ...

2s + g = 171
5s + 8g = 576

Cramer's rule tells you the solution to the system

ax +by = c
dx +ey = f

Is given by

x = (bf-ey)/(bd-ea)
y = (cd-fa)/(bd-ea)

Using this rule on the equations for zippers and buttons, we have

... s = (1·576 -8·171)/(1·5 -8·2) = -792/-11 = 72

... g = (171·5 -2·576)/-11 = -297/-11 = 27

72 suits and 27 gowns can be made from available zippers and buttons.

3 0

3 years ago

Help in this Trigonometry question please

NeTakaya

Answer:

Where is it I don't see it?

Step-by-step explanation:

4 0

3 years ago