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3 years ago

Please answer !!!the system of equations graphed below has how many solutions ?

Mathematics

2 answers:

mixas84 [53]3 years ago

6 0

The graph has no solution

OverLord2011 [107]3 years ago

5 0

The number of intersections is the number of solutions

we can see they are paralell so they will never intersect
0

C is the answer

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Divide a circle into 8 parts and what is the angle

guajiro [1.7K]

1/8x3.14x14 feet= 5.498 feet.

Answer: 5 feet, 5.97inches.

4 0

4 years ago

An equation of an ellipse is given. x2 16 + y2 25 = 1 (a) Find the vertices, foci, and eccentricity of the ellipse. vertex (x, y

eimsori [14]

Answer:

(a)

The vertices are at (0,-5) and (0,5).
The coordinates of the foci are (0,-3) and (0,3).
Eccentricity=3/5

(b)Length of the major axis=10

Step-by-step explanation:

When the major axis of an ellipse is parallel to the y-axis.The standard form of the equation of an ellipse is given as:

$\dfrac{x^2}{b^2}+\dfrac{y^2}{a^2}=1$

Given the equation:

$\dfrac{x^2}{16}+\dfrac{y^2}{25}=1$

(I)The coordinates of the vertices are $(0, \pm a)$

$a^2=25\\a^2=5^2\\a=5$

Therefore, the vertices are at (0,-5) and (0,5).

(II)The coordinates of the foci are $(0, \pm c)$ where c^2=a^2-b^2$

$c^2=a^2-b^2\\c^2=25-16\\c^2=9\\c=3$

The coordinates of the foci are (0,-3) and (0,3).

(III)Eccentricity

This is the ratio of the distance c between the center of the ellipse and each focus to the length of the semi major axis.

Simply put, Eccentricity =c/a

Eccentricity=3/5

(b)Length of the major axis

The length of the major axis=2a

=2(5)=10.

4 0

3 years ago

HELP QUICK!<br> Which of the following inequalities does the graph represent?

Snezhnost [94]

Answer:

C is correct

Step-by-step explanation:

We are given seperately that $t>\frac{-1}{2}$ and $t\leq 3$

As a compound inequality, it is C

5 0

3 years ago

Read 2 more answers

Khairul is x years old .Khairul`s uncle is 4 times as old as khairul will be in 5 years .Find the present age of Kharuls`s uncle

rodikova [14]

Answer:

4x + 15

Step-by-step explanation:

Let the age of Khairul's uncle y.

From the question given above, the following were obtained:

Khairul's age = x years

In 5 years time:

Khairul's age = x + 5

Khairul's uncle age = y + 5

But from the question given above,

Khairul`s uncle will be 4 times as old as what khairul will be in 5 years. This can be written as follow:

y + 5 = 4(x + 5)

Clear bracket

y + 5 = 4x + 20

Subtract 5 from both side

y + 5 – 5 = 4x + 20 – 5

y = 4x + 15

Therefore, Khairul's uncle present age is 4x + 15

8 0

3 years ago

Read 2 more answers

If on a scale drawing 15 feet are represented by 10 inches the. A scale 1/10 inches represents how many feet

Goryan [66]

Answer:

A scale 1/10 inches represents 0.15 feet

Step-by-step explanation:

* Lets explain how to solve the problem

- The scale drawing is a ratio between the actual length and the

drawing length

- The terms of the ratio must have same units, then the scale

drawing must have same units

* Lets solve the problem

- The 15 feet on a scale drawing are represented by 10 inch

∵ 1 foot = 12 inches

∴ 15 feet = 15 × 12 = 180 inches

∵ 15 feet represented by 10 inches

∴ 180 inches represented by 10 inches

∴ The scale drawing is ⇒ 10 : 180

- Simplify it by dividing the two terms by 10

∴ The scale drawing is ⇒ 1 : 18

- That means every 1 inch in drawing represents 18 inches in actual

∵ A scale represents 1/10 inches

∴ 1 : 18

1/10 : ?

∴ The actual = 1/10 × 18 = 1.8

∴ 1/10 inches in scale drawing represents 1.8 inches in actual

∵ 1 inch = 1/12 feet

∴ The actual = 1.8 × 1/12 = 0.15 feet

* A scale 1/10 inches represents 0.15 feet

7 0

4 years ago