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1 year ago

how do i slove 5/9v+w=z, for v

1 answer:

3 0

Okay, let's do this~

we want v isolated on one side so let's bring w over through subtraction

now we have 5/9v=z-w

now, to get rid of that fraction attached to v, we will multiply it's reciprocal on both sides.

*the reciprocal of 5/9 is 9/5

(5/9) x (9/5) cancel each other leaving v isolated to the left

the other side should look like this 9/5(z-w)

now we put both parts together to end up with:

v= 9/5(z-w)

there you go! :D

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What is the y-intercept of the function,represented by the table of values below?

Hitman42 [59]

Answer:

Step-by-step explanation:

So the y-intercept is not given by your table because there is no x that is listed as 0.

But don't fret; we can still find it.

Let's see if the function is linear by seeing if we have the same slope per two points in the table.

For the first pair ( the points (-2,16) and (1,4) ), x increased by 3 and the y decreased by 12 so the slope there is -12/3=-4.

Now looking at the next pair ( the points (1,4) and (2,0) ), x increased by 1 while y decreased by 4 so the slope is -4/1=-4.

So the function appears to be linear.

So the slope-intercept form of a line is y=mx+b where m is slope and b is y-intercept.

We already found the slope from earlier which is m=-4.

So the equation so far is y=-4x+b.

Now to find b, the y-intercept, we need to use a point (x,y) on the line along with y=-4x+b.

Let's see my favorite on the list of points is (2,0).

y=-4x+b with (x,y)=(2,0)

0=-4(2)+b

0=-8+b

8=b

So the y-intercept is 8.

8 0

2 years ago

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Marcie wants to enclose her yard with a fence. Her yard is in the shape of a rectangle attached to a triangle. The formula for t

nydimaria [60]

Let

l------> the length side of the rectangle

w----> the width side of a rectangle

b----> the base of the triangle

h----> the height of the triangle

we know that

the area of the yard is equal to

$A=lw+0.5bh$

Solve for b------> ( that means clear variable b)

Subtract $lw$ both sides

$A-lw=lw+0.5bh-lw$

$A-lw=0.5bh$

Divide by $0.5h$ both sides

$(A-lw)/(0.5h)=0.5bh/(0.5h)$

$b=(A-lw)/(0.5h)$

therefore

<u>the answer is the option B</u>

The quantity A minus l times w all divided by 0.5 times h

8 0

2 years ago

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There are 20 children in the cast of a class play, and 8 of the children are boys. of the boys, 4 have a speaking part in the pl

likoan [24]

The probability that a child with a speaking part is chosen randomly would be 2:5.

6 0

2 years ago

A football field is 120 yards long by 53 yards wide if a player runs diagonally from one corner to the opposite corner. How far

qaws [65]

Answer: They will travel about 131.18 yards.

Step-by-step explanation:

Given : A football field is 120 yards long by 53 yards wide.

We know that a football field is rectangular in shape.

Each interior angle in a rectangle is a right angle.

Then, by Pythagoras theorem, we have

(Diagonal)² = (Length)² + (Width)²

If a player runs diagonally from one corner to the opposite corner, then the length of the diagonal is given by :-

$(\text{Diagonal})=\sqrt{(120)^2+(53)^2}\\\\\Rightarrow\ (\text{Diagonal})=\sqrt{14400+2809}\\\\\Rightarrow\ (\text{Diagonal})=\sqrt{17209}\\\\\Rightarrow\ (\text{Diagonal})=131.183078177\approx131.18\text{ yards}$

Hence, they will travel about 131.18 yards.

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1 year ago

Write a multiplication fact that goes with this division fact. 24 ÷ 4 = 6

Mekhanik [1.2K]

Well I wild have to say 6x4=24

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1 year ago

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