What’s the length of three pieces of pipe if they all equal 72m

Please help with this Math Question...

Nataly [62]

Answer: A

<u>Step-by-step explanation:</u>

f(x) = x³ + 4x² + 7x + 6

possible rational roots are ±{1, 2, 3, 6}

Try x = -2

-2 | 1 4 7 6

1 2 3 0 ← remainder is 0 so x = -2 is a root ⇒ (x + 2) = 0

The factored polynomial x² + 2x + 3 = 0 is not factorable so use the quadratic formula to find the roots.

a=1, b=2, c=3

$x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a}$

$x=\dfrac{-(2)\pm\sqrt{(2)^2-4(1)(3)} }{2(1)}$

$x=\dfrac{-2\pm\sqrt{4-12} }{2}$

$x=\dfrac{-2\pm\sqrt{-8} }{2}$

$x=\dfrac{-2\pm2i\sqrt{2}}{2}$

$x = -1 \pm i\sqrt{2}$

$x = -1 + i\sqrt{2}$ $x = -1 - i\sqrt{2}$

$x - (-1 + i\sqrt{2})=0$ $x - (-1 - i\sqrt{2})=0$

The factors are:

$(x - 2)[x - (-1 + i\sqrt{2})][x - (-1 - i\sqrt{2})]$

5 0

3 years ago

Find point G on AB such that the ratio of AG to GB is 3:2.

lora16 [44]

Using proportions, the coordinates of point G are given as follows:

(1.8, 1.6).

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

The points A and B are given as follows:

A(-3, 4) and B(5,0).

For this problem, we have that the ratio of AG to GB is 3:2, hence:

AG = 3/5AB

G - A = 3/5(B - A).

The x-coordinate of G is found as follows:

x + 3 = 3/5(5 + 3)

x + 3 = 4.8

x = 1.8.

The y-coordinate of G is found as follows:

y - 4 = 3/5(0 - 4)

y - 4 = -2.4

y = 1.6.

Hence the coordinates of point G are given as follows:

(1.8, 1.6).

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

5 0

1 year ago

On a coordinate plane, solid circles appear at the following points: (negative 3, 2), (negative 3, 3), (1, 4), (1, negative 4),

hammer [34]

Answer:

3 points

Step-by-step explanation:

A function is a relation that maps elements of a set for the inputs (the domain, usually denoted with the variable x) into elements of another set, the set of the outputs (the range, usually denoted with the variable y).

So the relation can be represented with points (x, y), which means that point x is being mapped into point y.

Such that the needed condition is that each element of the domain is mapped into only one element in the domain.

So for example, if for a relationship we have the points (a, b) and (a, c)

The point a is being mapped into two different outputs.

Now let's go to our problem, we have the points:

(-3, 2), (-3, 3), (1, 4), (1, -4), (2, -4), (2, -2)

If we have repeated inputs, we need to remove points until we have one of each.

We can see that the inputs -3, 1, and 2 are repeated one time.

Then we need to remove one of each, for example if we remove the second, fourth and sixth points, the set becomes:

(-3, 2), (1, 4), and (2, -4)

This is a function.

Then we need to remove 3 points.

7 0

3 years ago

Read 2 more answers

Considere the diagram below determine DHG

Veseljchak [2.6K]

9514 1404 393

Answer:

A) ∠DHG = 96°

B) arc EF = 134°

Step-by-step explanation:

<u>Part A</u>:

As you have shown in your work, angle DHG is supplementary to given angle FHG:

∠DHG = 180° -∠FHG

∠DHG = 180° -84°

∠DHG = 96°

__

<u>Part B</u>:

∠DHG is half the sum of arcs EF and DG.

96° = (1/2)(arc EF + 58°) . . . . . fill in known values

192° -58° = arc EF . . . . . . . . . . multiply by 2, subtract 58°

arc EF = 134°

6 0

3 years ago

Write the verbal phrase as an algebraic expression. use x for the variable in your expression.

devlian [24]

The answers are
1. x-10
2. x+8

3 0

3 years ago