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3 years ago

Which expression is equivalent to 14x - 7 + 3(2x - 5)

Mathematics

2 answers:

Likurg_2 [28]3 years ago

8 0

Answer:

are there multiple choices below?????

all I can tell you is that the simplified version of that equation is 20x-22

kramer3 years ago

5 0

Answer:

2(10x - 11)
20x - 22

I hope this helps!

You might be interested in

The distance between the point (2,1,1) and the plane x-2y=5 is

Eduardwww [97]

The given plane has normal vector

$x-2y=5\implies\mathbf n=\langle1,-2,0\rangle$

Scaling n by a real number t gives a set of vectors that span an entire line through the origin. Translating this line by adding the vector <2, 1, 1> makes it so that this line passes through the point (2, 1, 1). So this line has equation

$\mathbf r(t)=\langle1,-2,0\rangle t+\langle2,1,1\rangle=\langle 2+t, 1-2t, 1\rangle$

This line passes through (2, 1, 1) when t = 0, and the line intersects with the plane when

$x-2y=5\implies(2+t)-2(1-2t)=5\implies5t=5\implies t=1$

which corresponds the point (3, -1, 1) (simply plug t = 1 into the coordinates of $\mathbf r(t)$ ).

So the distance between the plane and the point is the distance between the points (2, 1, 1) and (3, -1, 1):

$\sqrt{(2-3)^2+(1-(-1))^2+(1-1)^2}=\boxed{\sqrt5}$

7 0

4 years ago

What is the equation of the line in point-slope form containing the points (4, -1) and (10, 0)?

Alona [7]

Find slope first
(0+1)/(10-4)= 1/6
Point slope: (y-y1) = m(x-x1)
Solution: (y+1) = 1/6(x-4)

3 0

3 years ago

Read 2 more answers

Fill in the blank questions are considered___________questions.

Readme [11.4K]

The answer is letter b. best answer. Fill in the blank questions require exact answers. It is requires the exact answer but unlike essays need not require lengthy explanations. It is like a part that fits exactly to the machine from which it is a part of.

7 0

3 years ago

Read 2 more answers

2. Solve the equation by completing the square. Show your work.

scoundrel [369]

Answer:

x = 5 or 25

Step-by-step explanation:

I think the method I am about to explain is slightly quicker and easier than the method in your question. This works for any 'complete the square' question.

We begin with x² - 30x = - 125.

First, we are going to factorise the left-hand side of the equation by dividing the 'b' value (-30) by 2 (you'll see why this works in a minute):

(x - 15)²

We want these brackets to multiply out to give x² - 30x, so that they equal the left-hand side of the equation. Unfortunately, if we multiply them out, we get:

(x - 15)(x - 15) =

x² - 30x + 225

There is an unwanted term (the + 225, from 15²)! We only want x² - 30x, so we have to remove this term by subtracting it from the left side of the equation. To do this, let's set up the original equation again:

(x² - 30x + 225) - 225 = - 125

Note: The reason why we don't have to subtract it from both sides is because the original equation is x² - 30x = - 125, and so we must make sure the left hand side is still equal to x² - 30x.

So now we know that (x - 15)² multiplies out to give x² - 30x +225, we can write this as (x - 15)² in our equation:

(x² - 30x + 225) - 225 = - 125

is the same as:

(x - 15)² - 225 = - 125

Now add 225 to both sides of the equation:

(x - 15)² = - 125 + 225 = 100

(x -15)² = 100

The next step is to square root both sides. Be careful here, and remember that √100 can either be 10 or -10, as (-10)² = 100. To indicate both results, write ±10 ("plus or minus 10").

√(x - 15)² = √100

x - 15 = ±10

Because, there are two possible values for the right-hand side of the equation, we need to separate our equation into two equations:

1. x - 15 = 10

and

2. x - 15 = -10

Now we solve these two simple linear equations for x:

1. x = 10 + 15 <- add 15 to both sides

x = 25 This is our first solution.

2. x = -10 + 15 <- add 15 to both sides again

x = 5 This is our other solution.

So our two solutions are x = 5 and x = 25!

I have attached the quick version of the working out for this question - that is what you would be expected to write down in a test.

5 0

4 years ago

The volume, V, of a right cone varies jointly with the square of the radius of the base, r, and the height, h. When r = 6 and h

Sveta_85 [38]

Answer:

V=πr^2(h/3)

Step-by-step explanation:

V=π6^2(8/3)

6 0

4 years ago