All categories

2 years ago

Solve the equation for m. Show your work -40 - 6m + 1 = - 2

Mathematics

1 answer:

bekas [8.4K]2 years ago

4 0

Answer:

$\bold{m \ = \ \frac{-37}{6} \ Or \ -6.16666666667}$

Explanation:

-40 - 6m + 1 = - 2

Simplify Both Sides Of The Equation

−40 − 6m + 1 = −2

−40 + −6m + 1 = −2

(−6m) + (−40 + 1) = −2 (Combine Like Terms)

−6m + −39 = −2

= −6m − 39 = −2

Add 39 To Both Sides

−6m − 39 + 39 = −2 + 39

−6m = 37

Divide Both Sides By -6

-6m / -6 = 37 / -6

Simplify

$\bold{m \ = \ \frac{-37}{6} \ Or \ -6.16666666667}$

- PNW

You might be interested in

Determine whether the following lines represented by the vector equations below intersect, are parallel, are skew, or are identi

KiRa [710]

Answer:

r(t) and s(t) are parallel.

Step-by-step explanation:

Given that :

the lines represented by the vector equations are:

r(t)=⟨1−t,3+2t,−3t⟩

s(t)=⟨2t,−3−4t,3+6t⟩

The objective is to determine if the following lines represented by the vector equations below intersect, are parallel, are skew, or are identical.

NOTE:

Two lines will be parallel if $\dfrac{x_1}{x_2}= \dfrac{y_1}{y_2}= \dfrac{z_1}{z_2}$

here;

$d_1 = (-1, \ 2, \ -3)$

Thus;

$r(t) = \dfrac{x-1}{-1} = \dfrac{y-3}{2}=\dfrac{z-0}{-3} = t$

$d_2 =(2, \ -4, \ +6)$

$s(t) = \dfrac{x-0}{2} = \dfrac{y+5}{-4}=\dfrac{z-3}{6} = t$

∴

$\dfrac{d_1}{d_2}= \dfrac{-1}{2} = \dfrac{2}{-4}= \dfrac{-3}{-6}$

Hence, we can conclude that r(t) and s(t) are parallel.

6 0

2 years ago

Find the distance and midpoint of a segment with the following endpoints: (5,-1) and (-9,-1)

Likurg_2 [28]

Answer:

$d = 14$

$(-2,-1)$

General Formulas and Concepts:

Order of Operations: BPEMDAS
Distance Formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
Midpoint Formula: $(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Step-by-step explanation:

Step 1: Define

(5, -1)

(-9, -1)

Step 2: Find distance d

Substitute: $d = \sqrt{(-9-5)^2+(-1-(-1))^2}$
Simplify: $d = \sqrt{(-9-5)^2+(-1+1)^2}$
Subtract/Add: $d = \sqrt{(-14)^2+(0)^2}$
Evaluate: $d = \sqrt{196}$
Evaluate: $d = \14$

Step 3: Find Midpoint

Substitute: $(\frac{5-9}{2},\frac{-1-1}{2})$
Subtract: $(\frac{-4}{2},\frac{-2}{2})$
Divide: $(-2,-1)$

7 0

2 years ago

GRAPHING INEQUALITIES

Rudiy27

I don’t know put 2x on the x axis and dot 0 on the y axis

6 0

2 years ago

Which of the following are properties of the circumcenter of a triangle? Check all that apply.

Nonamiya [84]

A and B are right C is incenter D is totally wrong hope this helps god bless

3 0

2 years ago

MARK AS BRAINLIEST

timofeeve [1]

Answer:

x+20⩾50

Step-by-step explanation:

in inequality, the word at least means that is equal or more than. so that means that Allie might equal or more than 50 hours in the model but if you're to solve it, Allie will need 30 or more hours. and since she already has 20, add the 20.

3 0

2 years ago