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3 years ago

10

Please show your work! thank you

1 answer:

Bingel [31]3 years ago

6 0

You want to write them both into slope intercept form (y=mx+b) so the first one is y=2x-9/2. For the second one you can start converting them until you get y=3x+kx+2 so you need to find the value of K that adds to to equal to 2 because parallel lines have the same slope so k would = -1

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a greenhouse grew tomato plants. it sold 276 tomatos and 307 roses. there are 187 tomato plants left. how many tomato plants did

ella [17]

Answer:

463 tomato plants

Step-by-step explanation:

Add 276 (amount sold) by 187 (amount left).

276+187=463

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3 years ago

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Two brothers, Pedro and John, have a straight log in their backyard. Pedro wants the log cut into 24 equal parts, so he paints r

Marta_Voda [28]

Answer:

35 cuts or 36 parts

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3 years ago

The class has 13 students. How many possible groups<br> are there?

Brut [27]

Answer:

13, they could all split up into groups of 1

Step-by-step explanation:

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3 years ago

An eighth-grade student said the side length 41,40 and 9 do not form a right triangle, because

balandron [24]

Answer:

Error was CHOOSING the CORRECT hypotenuse in the given sides.

H = 41 units

Step-by-step explanation:

Here, the given sides of the triangle are: 41,40 and 9

Now, as we know in a RIGHT ANGLED TRIANGLE:

The longest side is the HYPOTENUSE.

So, here H = 41

Now, by PYTHAGORAS THEOREM:

$({PERPENDICULAR)^2 + ( BASE)^2 = (HYPOTENUSE)^$

$(40)^2 + (9)^2 = 1600 + 81 = 1681 = (41)^2\\\implies (40)^2 + (9)^2 = (41)^2$

Hence, Pythagoras theorem for Right angled triangle is SATISFIED

So, error was CHOOSING the CORRECT hypotenuse in the given sides.

The correct H = 41 units and NOT 40 units.

8 0

3 years ago

A potter forms a piece of clay into a cylinder. As he rolls it, the length, L, of the cylinder increases and the radius, r, decr

stepan [7]

Answer:

The radius is decreatsing at a rate 0.78 cm per second.

Step-by-step explanation:

We are given the following in the question:

$\dfrac{dl}{dt} = 0.7\text{ cm per second}$

Instant radius,r = 2 cm

Instant length,l = 9cm

The radius of the cylinder decreases.

Volume of cylinder =

$V =\pi r^2l$

Since the volume of the cylinder does not changes, we can write:

$\dfrac{dV}{dt}=0$

Rate of change of volume:

$\dfrac{dV}{dt} = \pi(2r\dfrac{dr}{dt}l + r^2\dfrac{dl}{dt})$

Puttiung values, we get

$0 = \pi(2(2)\dfrac{dr}{dt}(9) + (2)^2(0.7))\\\\\dfrac{dr}{dt}=-\dfrac{4\times 0.7}{4\times 9} \approx -0.78$

Thus, the radius is decreatsing at a rate 0.78 cm per second.

5 0

4 years ago