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3 years ago

11

Algebra II Question - Tell whether the ordered pair is a solution of the system, why or why not?

1 answer:

Helen [10]3 years ago

3 0

Answer:

Yes

Step-by-step explanation:

If you graph (2,1) it will be in the gray area. Therefore, if the point is inside the gray, then the answer is yes.

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a rectangular lawn has an area of a^3 - 125. use the difference of cubes to find out the dimensions of the rectangle.

ANEK [815]

The area of a rectangle is the product of its dimensions

The dimensions of the rectangle are: $\mathbf{Length = a -5}$ and $\mathbf{Width = a^2 + 5a + 25}$

The area is given as:

$\mathbf{Area = a^3 - 125}$

Express 125 as 5^3

$\mathbf{Area = a^3 - 5^3}$

Apply difference of cubes

$\mathbf{Area = (a - 5)(a^2 + 5a + 5^2)}$

$\mathbf{Area = (a - 5)(a^2 + 5a + 25)}$

The area of a rectangle is:

$\mathbf{Area = Length \times Width}$

So, by comparison:

$\mathbf{Length = a -5}$

$\mathbf{Width = a^2 + 5a + 25}$

Read more about areas at:

brainly.com/question/3518080

6 0

2 years ago

Michelle needs to save $7,000 for school in the next two years. She found a bank that offers a 9% interest rate compounded annua

Lina20 [59]

$100\%+9\%=109\%=1.09\\\\x\times1.09^2=7,000\\\\1.1881x=7,000\ \ \ \ /:1.1881\\\\x\approx5892\\\\Answer:\$5892$

5 0

4 years ago

The distribution of the number of hours people spend at work per day is unimodal and symmetric with a mean of 8 hours and a stan

Wewaii [24]

Answer: 95% of all people work between 7 hours and 9 hours per day and It is true.

Step-by-step explanation:

Since we have given that

Mean = 8 hours

Standard deviation = 0.5 hours

According to Empirical Rule,

at 95% confidence, it lies within 2 standard deviations from the mean

so, lower value is given by

$mean-2\times sd\\\\=8-2\times 0.5\\\\\=8-1\\\\=7\ hours$

upper value is given by

$mean+2\times s.d\\\\=8+2\times 0.5\\\\=8+1\\\\=9\ hours$

Hence, 95% of all people work between 7 hours and 9 hours per day.

Therefore , it is true.

4 0

3 years ago

Find the value of m angle 3-m<1

emmainna [20.7K]

Answer:

The value of $m\angle 3-m\angle 1$ = $50^{\circ}$

Step-by-step explanation:

Vertical Angle theorem: It is about the angles that are opposite to each other.

Also, vertical angle are congruent that means vertical angles are equal.

In the given figure; $m\angle 3$ and $70^{\circ}$ are vertical angle

then, by vertical angle theorem, $m\angle3 =70^{\circ}$ .

Supplementary angle: the sum of the angles whose measure on the straight line is 180 degree.

From the figure, $70^{\circ}$ , $\angle 1$ and $m\angle 2 =90^{\circ}$ forms a straight line.

then, by the definition of Supplementary angle;

$70^{\circ}+m\angle 1 +m\angle 2=180^{\circ}$

Substituting the value of $m\angle 2 =90^{\circ}$ in above equation:

$70^{\circ}+m\angle 1 + 90^{\circ} =180^{\circ}$ or

$160^{\circ}+m\angle 1=180^{\circ}$

Simplify:

$m\angle 1=180^{\circ}-160^{\circ} =20^{\circ}$

therefore, $m\angle 1= 20^{\circ}$ and $m\angle 3=70^{\circ}$ ,

the value of $m\angle3-m\angle1= 70^{\circ}-20^{\circ} =50^{\circ}$ .

7 0

3 years ago

Please help i’ve done a (5x) but i need b) and c)

Lelechka [254]

Answer:

b would be 6xy

c would be 6xy as well

Step-by-step explanation:

Not really sure how to explain it, I just know it

7 0

3 years ago

Read 2 more answers