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3 years ago

15 yards to 18 yards

Mathematics

1 answer:

jeyben [28]3 years ago

8 0

The answer is 270 , I multiplied 15 by 18 and got 270

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Joey and Armando live on the same st as the park. The park is 9/10 mile from Joey's home. Joey leaves home and walks to Armando'

AleksandrR [38]

Let's start by assuming Armando's house is between Joey's and the park.

Let $x$ be the distance Joey walked to Armando's house.

<span>The park is 9/10 mile from Joey's home. Joey leaves home and walks to Armando's home. Then Joey and Armando walk 3/5 mile to the park.

</span> $\dfrac{9}{10} = x + \dfrac{3}{5}$

$x = \dfrac{9}{10} - \dfrac{3}{5} = \dfrac{9}{10} -\dfrac{6}{10} = \dfrac{3}{10}$

That's probably the answer they're looking for. But what if the park is between Joey and Armando's houses or Joey is between the park and Armando? (The latter isn't really possible with the given distances.)

Let $a, b, c$ be the distances between three collinear points like we have here. Our equation is really a few equations in one, something like

$\pm a \pm b = \pm c$

Let's get rid of the plus/minuses. Squaring,

$a^2 + b^2\pm 2ab = c^2$

$\pm 2ab = c^2-a^2-b^2$

$4a^2b^2 = (c^2-a^2-b^2)^2$

For us, that's a quadratic equation for $c^2$

$4(9/10)^2(3/5)^2= (c^2-(9/10)^2 - (3/5)^2)^2$

I'll skip right to the solutions,

$c^2=\dfrac{9}{100} \textrm{ or } c^2=\dfrac{9}{4}$

$c=\dfrac{3}{10} \textrm{ or } c=\dfrac{3}{2}$

We could have gotten the 3/2 just by adding 9/10+3/5 but this was more fun.

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3 years ago

The table represents a linear function

Feliz [49]

Answer:

Step-by-step explanation:

.......................

8 0

2 years ago

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Point B ∈ AC. Find the length of segments AB and BC if AC = 20 cm and: AB:BC = 3:7

madam [21]

Answer:

Length of AB = 6 cm

Length of the segment BC = 14 cm

Step-by-step explanation:

Here, B is a point on a segment AC.

AB : BC = 3:7

Length of the segment AC = 20 cm

Now, let the common ratio between the segment is x.

So, the length of AB = 3 x , and Length of BC = 7 x

Now, AB + BC = AC

⇒ 3x + 7x = 20

or, 10 x = 20

or, x = 2

Hence, the length of AB = 3 x = 3 x 2 = 6 cm

and the length of the segment BC = 7x = 7 x 2 = 14 cm

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3 years ago

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Which function will have the steepest graph? O y=-2x O y=-* Oy = 3 x 2 2 Oy=

Alenkinab [10]

Step-by-step explanation:

can I have actual options I can't figure it out with invalid options

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3 years ago

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Write an equation in slope intercept form for the line through the two points

Musya8 [376]

$m= \frac{y2-y1}{x2-x1} \\ \\ m= \frac{-2-2}{2-(-2)} \\ \\ m= \frac{-4}{4} \\ \\ m=-1$

$y=mx+b \\ \\ y=-1x+b$

$(2)=(-1)(-2)+b \\ \\ 2=2+b \\ \\ 0=b$

$y=-1x+0 \\ \\ y=-x$

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3 years ago