Evaluate 4(2b+1) to the third power if b=-3

What is the slope of the line that had that equation 4x+2y=12

Naddik [55]

Answer:

Step-by-step explanation:

The slope intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

We have the equation of a line in the standard form

$Ax+By=C$

Convert to the slope-intercept form:

$4x+2y=12$ <em>subtract 4x from both sides</em>

$2y=-4x+12$ <em>divide both sides by 2</em>

$y=-2x+6$

Therefore the slope is equal to -2.

Other method:

If we have the equation of a line in standard form Ax + By = C

or in general form Ax + By + C = 0, then the formula of a slope is

$m=-\dfrac{A}{B}$

We have A = 4 and B = 2. Substitute:

$m=-\dfrac{4}{2}=-2$

7 0

3 years ago

A landscaping company charges customers for lawn care based on the area of their yards. Mr. Jones was charged $52 for his yard,

crimeas [40]

Answer:

Landscaping Company will charge $80 for Neighbor yard.

Step-by-step explanation:

Given:

Charges of Mr. Jones = $52

Length of Mr. Jones yard = 65 feet

Width of Mr. Jones yard = 40 feet

Now we will find the area of Mr. Jones yard.

Yard is basically in rectangular form.

Hence we can;

Area of yard is equal to product of length of the yard and width of the yard.

Framing in equation we get;

Area of Mr. Jones Yard = $40\times 65 = 2600\ ft^2$

Now Mr. Jones was charged $52 for a yard having Area 2600 sq. ft.

So we will find the per sq. ft charge applied by the company.

Per sq. ft charge will be equal to Charges of Mr. Jones divided by Area of Mr. Jones Yard.

Framing in equation form we get;

Per sq. ft charge = $\frac{52}{2600} = \$0.02$

Hence the Landscaping company charge Mr. Jones at $0.02 per sq.ft.

Now Given:

Length of Neighbor yard = 80 ft.

Width of Neighbor yard = 50 ft.

We need to find the Charges on Neighbor based on charges applied on Mr. Jones.

First we will find the Area of Neighbors yard we get;

Area of Neighbors yard = $80 \times50 = 4000\ ft^2$

Charges of Neighbor yard will be equal to charges Landscaping company for per sq. ft multiplied by area of Neighbors yard.

Framing in equation form we get;

Charges of Neighbor yard = $0.02\times 4000 = \$80$

Hence Landscaping Company will charge $80 for Neighbor yard.

8 0

3 years ago

Hasan has 18 3/4 yards of fabric...

storchak [24]

Is the all of the problem

4 0

4 years ago

EQAO Watch Sammy and Pippa's teacher gives them a homework question to solve. She tells them to plot the points A(5, -1), B(9, 4

Alona [7]

Answer:

None of them are correct. The shape in their homework is a rectangle

Step-by-step explanation:

I would be determining my answer using Length

To find the length of the sides, when you have vertices (x₁, x₂)and (y₁, y₂) we use the formula

√(x₂-x₁)²-(y₂-y₁)²

A(5, -1), B(9, 4), C(15, 1) and D(11, -4)

Side/ Length AB = A(5, -1), B(9, 4)

√(x₂-x₁)²-(y₂-y₁)²

= √(9 - 5)² + (4 - (-1))²

= √4² + 5²

= √16 + 25

= √41

Side/ Length BC = , B(9, 4), C(15, 1)

= √(x₂-x₁)²-(y₂-y₁)²

= √(15 - 9)² + ( 1 - 4)²

= √6² + -3²

= √36 + 9

= √45

Side/ Length CD = C(15, 1) and D(11, -4)

√(x₂-x₁)²-(y₂-y₁)²

= √(11 - 15)² + (-4 - 1)²

= √-4² + -5²

= √16 + 25

= √41

Side/ Length AD = A(5, -1), D(11, -4)

√(x₂-x₁)²-(y₂-y₁)²

= √(11- 5)² + (-4 - (-1))²

= √6² + 3²

= √36 + 9

= √45

From the Calculations above ,

AB = √41

BC = √45

CD = √41

AD = √45

A square and a rhombus are shapes with 4 sides and all their sides are equal to each other.

From the above calculation, we can see that

We can see that Length AB = Length CD

Length BC = Length AD

This means , the Opposite sides only are equal to each other.

Therefore, none of them is correct. The shape in their homework is a rectangle

4 0

3 years ago

The length of an alligator in a zoo is 14 5/6 feet.The everglades national parks list the longest alligator ever reocord in flor

astraxan [27]

Answer:

The difference in the lengths of the two alligators = 3

Step-by-step explanation:

First, let us make the lengths improper fractions, then we will find the difference from there.

Alligator 1:

Length = $14\frac{5}{12} = \frac{173}{12}$

To convert to improper fraction, multiply the denominator by the whole number, and then add the denominator [(12 × 14) + 5]

Alligator 2:

Length = $17\frac{5}{12} = \frac{209}{12}$

Now Let us find the difference between the lengths:

$\frac{209}{12} - \frac{173}{12} = \frac{36}{12} =3$

Therefore the difference in the lengths of the two alligators = 3

3 0

4 years ago