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Irina-Kira [14]
3 years ago
10

Solve the quadratic equation. (x + 1)2 = 16 x = 3 or-5 x= -3 or 5 X = 35

Mathematics
1 answer:
Damm [24]3 years ago
4 0

Answer:

X=7

(x - 3 )(x +5)

(x+3) (x-5)

X - 35

Step-by-step explanation:

(x + 1)2 = 16

Expanding , we have

2x + 2 = 16

2x = 16 - 2

2x = 14

X= 7.

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gladu [14]

Consider the attached ellipse. Let the sun be at the right focus. Then perihelion is at right vertex on the x-axis and aphelion is at the left vertex on the x-axis.

The distances:

  • from perihelion to the sun in terms of ellipse is a-c;
  • from aphelion to the sun in terms of ellipse is a+c.

Then

\left\{\begin{array}{l}a-c=741,000,000\\a+c=817,000,000\end{array}\right.

Add these two equations:

2a=1,558,000,000 \\ \\a=779,000,000

and subtract first equation from the second:

2c=76,000,000 \\ \\c=38,000,000.

Note that b=\sqrt{a^2-c^2}, thus

b=\sqrt{779,000,000^2-38,000,000^2}=\sqrt{605,397,000,000,000,000}.

The equation for the planet's orbit is

\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1\Rightarrow \dfrac{x^2}{606,841,000,000,000,000}+\dfrac{y^2}{605,397,000,000,000,000}=1.

7 0
3 years ago
Please help.. part a & b
umka21 [38]

Answer:

Part A

to the 10th power will be positive and to the 11th power is negative. When the exponent is even it will be positive. When it is odd it will be negative

Part B

The one with the negative enclosed will be positive. The second one, the exponent is only effecting the number and not the sign. The outcome will always be negative.

4 0
3 years ago
Sara can type 90 words in 4 minutes.About how many words would you expect her to type in 10 minutes?
Alexus [3.1K]
90 words in 4 minutes is the same as 45 words in 2 minutes because you divide both sides by 2.  2 goes into 10, 5 times, so 45x5=225.
You can expect her to type 225 words in 10 minutes.
3 0
3 years ago
Which graph represents the solution set of the system of inequalities?
lidiya [134]

y < \dfrac{2}{3}x\\\\y=\dfrac{2}{3}x\\\\for\ x=0\to y=\dfrac{2}{3}(0)=0\to(0,\ 0)\\\\for\ x=3\to y=\dfrac{2}{3}(3)=2\to(3,\ 2)\\\\y\geq-x+2\\\\y=-x+2\\\\for\ x=0\to y=-0+2=2\to(0,\ 2)\\\\for\ x=2\to y=-2+2=0\to(2,\ 0)

y < \dfrac{2}{3}x

the dotted line. shadow under the line

y\geq-x+2

solid line. shadow above the line

Answer in the attachment (graph C).

8 0
2 years ago
The price of an item yesterday was $115. Today, the price rose to $161. Find the percentage increase
mamaluj [8]

Answer:

14%

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161/115 = 1.4 which you times by 100

4 0
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