All categories

2 years ago

.

Mathematics

1 answer:

Vlada [557]2 years ago

5 0

Answer:

A. -86

Step-by-step explanation:

The absolute value is the distance a number has from zero.

Two numbers that are the same, except that one is positive and negative, will have the same absolute value.

So, -86 and 86 have the same absolute value of 86. This is because they are both 86 away from 0.

So, A is the correct answer.

You might be interested in

Solve the following system of equations using Substitution: Submit your answer as an ordered pair. 2x−3y=32x-3y=32x−3y=3 x=y+2x=

exis [7]

9514 1404 393

Answer:

(3, 1)

Step-by-step explanation:

We assume you want the solution to the system ...

2x−3y=3
x=y+2

The second equation gives a nice expression for x, so we can use that in the first equation.

2(y+2) -3y = 3 . . . . substitute for x in the first equation

2y +4 -3y = 3 . . . . . eliminate parentheses

-y = -1 . . . . . . . . . . . collect terms, subtract 4

y = 1 . . . . . . . . . . . . multiply by -1

x = 1 +2 = 3 . . . . . . substitute for y in the second equation

The solution is (x, y) = (3, 1).

4 0

3 years ago

Which side lengths form a right triangle? Choose all answers that apply: Choose all answers that apply: (Choice A) A 3, 6, \sqrt

dlinn [17]

Answer:

A, B and C

Step-by-step explanation:

Given any three side lengths of a right triangle, the longest side is the hypotenuse.

The side lengths of a right triangle must satisfy the Pythagorean Theorem.

Pythagorean Theorem: $Hypotenuse^2=Opposite^2+Adjacent^2$

Option A: $3, 6, \sqrt{45}$

$(\sqrt{45})^2=3^2+6^2\\45=36+9\\45=45$

True

Option B: 2.5, 6, 6.5

$6.5^2=6^2+2.5^2\\42.25=36+6.25\\42.25=42.25 (TRUE)$

Option C: $4, 8, \sqrt{80}$

$4, 8, \sqrt{80}\\( \sqrt{80})^2=4^2+8^2\\80=16+64\\80=80 (TRUE)$

Since all are true, the side lengths in Options A, B and C forms a right triangle,

4 0

3 years ago

describe how you would find how find how much grass seed is needed to cover a triangular plot of land

Furkat [3]

you will need to find the area

A=height multiplied by the base divided by 2

4 0

3 years ago

A theater has a seating capacity of 750 and charges $3 for children, s5 for students, and $7 for adults. At a certain screening

-BARSIC- [3]

Answer:

Between 150 and 450

Step-by-step explanation:

We are going to find the number by resolving a system of linear equations.

First we write the system equations :

$C+S+A=750$

Where C : children, S : students and A : adults

The equation represents the ''full attendance''

The second equation :

$3C+5S+7A=3450$

This equation represents the totaled receipts.

The system :

$C+S+A=750\\3C+5S+7A=3450$

has the following associated matrix :

$\left[\begin{array}{cccc}1&1&1&750\\3&5&7&3450\end{array}\right]$

By performing elementary matrix operations we find that the matrix is equivalent to

$\left[\begin{array}{cccc}1&0&-1&150\\0&1&2&600\\\end{array}\right]$

The new system :

$C-A=150\\S+2A=600$

Working with the equations :

$C = 150 + A\\S = 600-2A$

Our solution vector is :

$\left[\begin{array}{c}C&S&A\end{array}\right] =\left[\begin{array}{c}150+A&600-2A&A\end{array}\right]$

For example :

If 0 adults attended ⇒ A = 0

$C = 150 + 0 \\C = 150\\S = 600 - 2A\\S = 600$

This verify the totaled receipts equation :

150($3)+600($5) = $ 3450

A ≥ 0 ⇒ If A = 0 ⇒ C = 150

C = 150 is the minimum children attendance

From the equation :

$S = 600 -2A$

S ≥0

600 - 2A ≥ 0

600 ≥ 2A

300≥ A

A is restricted to the interval [ 0, 300]

When A = 0 ⇒ C = 150

When A = 300 ⇒C = 150 + A = 150 + 300 = 450

Children ∈ [ 150,450]

With C being an integer number (including 0)

Also S and A are integer numbers (including 0)

7 0

3 years ago

Help solving this math

AlexFokin [52]

Answer:

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers