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2 years ago

Help please quueens i need help

Mathematics

1 answer:

Mrac [35]2 years ago

3 0

Answer:

x = 3

Step-by-step explanation:

We can use the following equation to solve for x:

$315=9x-27+8x+24+5x-17+2x+23\\315=(9x+8x+5x+2x)+(-27+24-17+23)\\315=24x+3\\312=24x\\13=x$

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X+3=5 . Find x in the given equation

Oduvanchick [21]

Answer:

Step-by-step explanation:

x + 3 = 5

x = 5 - 3

x = 2

Therefore, x=2 in the given equation

4 0

3 years ago

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The ratio of boys to girls in a class is 3:1. There are 36 students in the class. How many students are girls

eduard

Hi there!

Boys 3x

Girls x

Total 4x = 36

x=9

27 boys

9 girls

Hope you understand,

Have a nice day,

Wolfiex

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3 years ago

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The center of an ellipse is (-9,3). one focus is (-7,3). The major axis is 24 units long. What is the equation of the ellipse in

CaHeK987 [17]

Answer:

$\frac{(x+9)^2}{144}+\frac{(y-3)^2}{140}=1$

Step-by-step explanation:

The standard equation of the ellipse is

$\frac{(x-\alpha)^2}{a^2}+\frac{(y-\beta)^2}{b^2}=1\;\cdots(i)$

where, $(\alpha, \beta)$ is the center and a,b are semi axes of the ellipse along x-axis and y-axis respectively.

Given that, $(\alpha, \beta)=(-9,3)$ and major axis, $2a=24$ .

So, semi major axis, $a=24/2=12$ .

Now, focus of the ellipse is (-7,3).

Let $e$ be the eccentricity of the ellipse,

So, $e=\frac c a$

where $c$ is the distance between the center and focus of the ellipse.

By using the distance formula,

$c=\sqrt{(-9-(-7))^2+(3-3)^2}=2$

$\Rightarrow e=\frac {2}{12}=\frac{1}{6}\;\cdots(ii)$

Again, the relationship among $a,b$ and $e$ is

$e=\sqrt{1-\frac{b^2}{a^2}$

$\Rightarrow \frac{1}{6}=\sqrt{1-\frac{b^2}{(12)^2}$ [from equation (ii)]

$\Rightarrow \frac{1}{36}=\sqrt{1-\frac{b^2}{144}$ [squaring on both the sides]

$\Rightarrow \frac{b^2}{144}=1-\frac{1}{36}$

$\Rightarrow b^2=\frac{35}{36}\times144=140$

So, the value of square of semi-minir axis, $b^2=140$ .

Hence, from equation (i), the equation of required ellipse is standard form is

$\frac{(x-(-9))^2}{144}+\frac{(y-3)^2}{140}=1$

$\Rightarrow \frac{(x+9)^2}{144}+\frac{(y-3)^2}{140}=1$

8 0

3 years ago

How do i Evaluate 20^2

Irina18 [472]

Answer:

boom

Step-by-step explanation:

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3 years ago

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Please help!!

disa [49]

Answer:

C. Scalene triangle

Step-by-step explanation:

What I would do is add all of the angles to 180 and then solve for x.

6x + 10 + 7x + 15x + 2 = 180

28x + 12 = 180

28x = 168

x = 6

Then, plug in 6 for each expression to find each angle

6(6) + 10 = 46

7(6) = 42

15(6) + 2 = 92

Since none of the angles are equal and one of the angles is over 90 degrees, triangle GFH is a scalene triangle

7 0

3 years ago