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4 years ago

9

Start time 6:57pm elasped time 47 min

1 answer:

Talja [164]4 years ago

3 0

7:44 pm would be correct

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There are 4512 marbles which will be divided equally among 48 students how many marbles will each student get

Grace [21]

Answer:

94 marbles

Step-by-step explanation:

4512/48 = 94

3 0

3 years ago

Show that (5x-7)2 +140x=(5x+7)2

zhannawk [14.2K]

(5x-7)2 + 140x
= 25x2 - 70x + 14 + 140x
= 25x2 + 70x + 14
= (5x+7)2

8 0

3 years ago

What is t multiplied by -4 is at least -2/5

Oduvanchick [21]

-4t = -2/5 would be the proper way to write the equation

now we divide by -4 .

t = 1/10

hope this helps , give brainliest . thanks !

4 0

3 years ago

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

Given the functions f(x)=4(2)^x and g(x) = f(x) + 3, which transformation would map f(x) to g(x)

aleksklad [387]

Obviously when you add 3 to f(x) and overall g(x)=4(2)^x+3
and graph goes 3 times up

4 0

3 years ago