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3 years ago

M: -1/2 Point: (-1, 3) Solve for y=mx+b Help

Mathematics

1 answer:

ohaa [14]3 years ago

3 0

Answer:

y= (-1/2)x+(5/2)

Step-by-step explanation:

equation point slope

(y-y1)=m(x-x1)

y-3 = -1/2(x+1) add -3 to both sides and distribute

y=( -x/2) +(-1/2)+3 rewrite 3 as 6/2

y=(-1/2)x +(-1+6/2) solve

y= (-1/2)x+(5/2)

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What value of x makes this equation true? 0.6x − 5 = 0.1x + 7

Natali5045456 [20]

Answer: x=24

Step-by-step explanation:Simplifying

0.6x + -5 = 0.1x + 7

Reorder the terms:

-5 + 0.6x = 0.1x + 7

Reorder the terms:

-5 + 0.6x = 7 + 0.1x

Solving

-5 + 0.6x = 7 + 0.1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.1x' to each side of the equation.

-5 + 0.6x + -0.1x = 7 + 0.1x + -0.1x

Combine like terms: 0.6x + -0.1x = 0.5x

-5 + 0.5x = 7 + 0.1x + -0.1x

Combine like terms: 0.1x + -0.1x = 0.0

-5 + 0.5x = 7 + 0.0

-5 + 0.5x = 7

Add '5' to each side of the equation.

-5 + 5 + 0.5x = 7 + 5

Combine like terms: -5 + 5 = 0

0 + 0.5x = 7 + 5

0.5x = 7 + 5

Combine like terms: 7 + 5 = 12

0.5x = 12

Divide each side by '0.5'.

x = 24

Simplifying

x = 24

6 0

3 years ago

Read 2 more answers

Find the third fourth and fifth terms of the sequence defined by a1=1, a2=3, and a n =(-1)n a n-2 for n>3

Maslowich

We have been given that

$a_1=1\\ a_2=3\\
a_ n =(-1)^n a _{n-2} \text{ for } n>3$

In order to find the third term, we substitute n=3

$a_ 3 =(-1)^3a _{(3-2)}\\
\\
a_ 3 =(-1)^3 a _{1}$

Substituting the given value of $a_1$

$a_ 3 =(-1)^3 \times 1\\
\\
a_3=-1\times 1\\
\\
a_3=-1$

Similarly, we can find the fourth term by plugging n=4

$a_ 4 =(-1)^4a _{(4-2)}\\
\\
a_ 4 =(-1)^4 a _{2}\\
\\
a_4= 1\times 3\\
\\
a_4=3$

Therefore, the third term is -1

And the fourth term is 3

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3 years ago

X + 2/3 = -1/6 solve for x

never [62]

-5/6 because
2/3=4/6
So
X+4/6-4/6=-1/6-4/6
X=-5/6

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4 years ago

A basket has 12 white eggs and 4 brown eggs. Half of the white eggs are cracked, what is the probability I will chose a white cr

Pachacha [2.7K]

37.5 percent chance.

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3 years ago

The diagonals of a parallelogram are congruent. Which could be the parallelogram?

kompoz [17]

Consider definitions of parallelogram, trapezoid, rectangle, kite and rhombus.

Parallelogram is a quadrilateral with two pairs of parallel opposite sides.

Trapezoid is a quadrilateral with one pair parallel opposite sides, trapezoid is not parallelogram, so option 1 is false.

Rectangle is a parallelogram with all angles right. Rectangle has diagonals that are congruent. Option 2 is true.

Kite is a quadrilateral with two pairs of congruent adjacent sides. Kite is not parallelogram, so option 3 is false.

Rhombus is a parallelogram with all sides congruent. The diagonals of the rhombus are not congruent, but they are perpindicular bisectors of each other. Option 4 is false.

Answer: correct choice is option 2

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4 years ago

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