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3 years ago

Over the weekend Ella ran three times as many miles as Vera. Together they ran 24 miles. How many miles did Vera run?

Mathematics

1 answer:

Butoxors [25]3 years ago

4 0

answer is 72

ella ran 3times as many and vera

24 x3=72 miles more

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A DEF has vertices D(-5,-1), E (3, 3), and F (1,-5). Find the equation of the altitude through F in

Tems11 [23]

Answer:

y = -2x -3

Step-by-step explanation:

- the altitude trough F is a perpendicular line to the line DE

- find slope of line DE

D ( x2 = -5, y2 = -1); E (x1 = 3, y1 = 3)

slope m = (y2-y1) / (x2-x1) = (-1-3) / (-5-3) = -4/ -8 = 1/2

-find equation of the altitude trough F

lines that are perpendicular have the slope negative reciprocal (negative reciprocal of 1/2 is -2)

y= -2x +b , for point F(1, -5)

-5 = -2*1 +b, add 2 to both sides

-5 +2 = b, combine like terms

-3 =b

equation of the altitude trough F is y = -2x -3

4 0

3 years ago

30 points 1 question PLEASE HELP ME OUT I REALLY NEED IT

Pachacha [2.7K]

Answer:

p(-5/3) ≠ 0 So, (3 x +5) is NOT A FACTOR of p(x)

Step-by-step explanation:

Here, the given function is $p(x)=3x^5+2x^2 - 5$

Now, the given root of the function is ( 3x +5)

Now, if ( 3 x + 5) = 0,

we get x = - 5/3

So, the zero of the given polynomial is x = -5/3

Then, x = -5/3, p(x) =0 ⇒ ( 3 x + 5) is a FACTOR of p(x)

Now, let us find the value of function at x = -5/3

Substitute x = -5/3 in the given function p(x), we get:

$p(x)=3x^5+2x^2 - 5 \implies p(\frac{-5}{3}) = 3(\frac{-5}{3})^5 + 2(\frac{-5}{3})^2 - 5\\= 3(\frac{-3,125}{243}) + 2(\frac{25}{9}) - 5\\= (\frac{-3,125}{81}) + (\frac{50}{9}) - 5\\= -38.580 + 5.56 - 5 = -38.02\\\implies p(\frac{-5}{3}) = -38.02$

Now, as p(-5/3) ≠ 0 So, (3x +5) is NOT A FACTOR of p(x)

6 0

3 years ago

If point B, shown on the coordinate plane below, is reflected over the y-axis to create B’, what will be the coordinates of B’?(

Reil [10]

Solution

- The transformation for reflection over the y-axis is given below:

$(x,y)\to(-x,y)$

- We have been given the coordinate of B to be (-5, -2) as shown below:

- Thus, applying the transformation formula given above, we have:

$\begin{gathered} (x,y)\to(-x,y) \\ (-5,-2)\to(-(-5),-2)=(5,-2) \end{gathered}$

- Thus, the reflected point B' is

$(5,-2)$

- This is shown below:

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1 year ago

Caige has $512 in his account. How much can he withdraw so that he has a zero

guajiro [1.7K]

Isn’t it just $512?

8 0

3 years ago

Rodrigo sits at a street corner and records the number of red sports cars that are and are not speeding. What kind of study is t

Anna71 [15]

Observational study-apex

4 0

3 years ago

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