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Answer:

y= −3 /2 x+ −7 /2

slope= -3/2

Step-by-step explanation:

y−1= −3 /2 (x+3)

y= −3 /2 x+ −7 /2

according to y=mx+b slope intercept form

-3/2 is the slope

Answer:

x=(3y-11)/5

3(y-2)= 5(x+1) by cross multiplication

5x+5=3y-6

5x=3y-6-5

5x=3y-11

We divide by 5 on both sides

Answer:

The scale: 1 inches = 5 feet

Step-by-step explanation:

Given:

Actual length of backyard = 75 ft

Model's length = 15 inches

Complete;

The scale: 1 inches = ?

Computation:

The scale = Actual length of backyard / Model's length

The scale = 75 / 15

The scale = 5 ft

So,

The scale: 1 inches = 5 feet

Answer:

= 30m

Step-by-step explanation:

to find the length of the fence, find the perimeter of the triangle.

that is b + h + hyp assuming b is the base, h is height and hyp is hypotenuse.

we have the base; height and hypotenuse are not given.

to get the height,

area(A) = 30m2

base(B) = 12m

height(H) = ?

A = 0.5 x B x H

30m2 = 0.5 x 12m x H

30m2 = 6m x L

H = 30m2 / 6m

H = 5m

to get the hypotenuse,

we have to complete the Pythagorean family the base ,12, and height, 5. is in.

formula = a2 + b2 = c2, c is the hypotenuse, a and b can be interchanged either way with base and height.

             = (12 x 12) + ( 5 x 5) = c2

             = 144 + 25 = c2

             = 169 = c2

        c2 = 169

        c = 13

perimeter = b + h + hyp

                = 5 +12 + 13

                 = 30m

Complete question :

How many years, to the nearest tenth, will be needed for $5000 to increase to $18000 at 3.0% annual interest compounded monthly

Answer:

Step-by-step explanation:

Initial amount (P) = 5000

Final amount (A) = 18000

Interest rate (r) = 3% = 0.03 compounded monthly

A = P(1 + r/n)^nt

n = number of compounding timea per period

18000 = 5000(1 + 0.03 / 12)^12t

18000 / 5000 = (1 + 0.0025)^12t

3.6 = (1 + 0.0025)^12t

3.6 = 1.0025^12t

Take the In of both sides

1.2809338 = 1.03t

t = 1.2809338 / 1.03

Answer: 9/16

18/32 simplified is 9/16

Answer:

9/16

4/8

2/4

Step-by-step explanation:

plz mark brainliest

Answer:

The answer to the statement provided is 46.

Answer:

1/3 < 2/5 < 3/7 < 4/9

Step-by-step explanation:

:)

Answer:

133.33 years

Step-by-step explanation:

Given that:

Principal = $500

Interest rate (r) = 1.5% = 0.015

Triple amount of principal = $500 * 3 = $1500 = final amount (A)

Number of years (t) =?

Using the relation :

A = P(1 + rt)

1500 = 500(1 + 0.015t)

1500 / 500 = 1 + 0.015t

3 = 1 + 0.015t

3 - 1= 0.015t

2 = 0.015t

2 / 0.015 = 0.015t / 0.015

133.333 = t

133.33 years

Answer:

Solution in photo

Step-by-step explanation:

Answer:

You are multiplying the whole number with the reciprocal of the fraction.

Step-by-step explanation:

To divide a whole number by fraction.

You are taking X which is a whole number over the fraction.

its the same as taking x and multiplying it by the reciprocal of the fraction

So if you have 5 divided by 1/2, it's the same as saying 5 times 2/1.

Answer:

Present salary is 550

Step-by-step explanation:

Here, we want to calculate the present salary seeing that it was 10% added to what we had last year

mathematically, that will be;

10/100 * 500 = 50

Adding this to 500, his present salary is 50 + 500 = 550

Answer:

550 is the answer

Step-by-step explanation:

I got it in the test

Answer:

Expression that can be modeled using the number line is  7 over 10 divided by 1 over 10  

Step-by-step explanation:

Arrow starts from 0 then it goes to 1/10 then to 2/10 then to 3/10 then to 4/10 then to 5/10 then to 6/10 then to 7/10.

Which implies 7/10 is divided into 7 equal parts of the equal length of 1/10 units.    

Hope this helps you :)

Answer:

1000a+100b+10c+d

Step-by-step explanation:

place value of a =1000×a

place value of b=100×b

place value of c=10c

place value of d=1×d

Answer:

a)

Step-by-step explanation:

Answer:

x≤−1

Step-by-step explanation:

Answer:

The difference in the areas of the cross section is 32 m²

Step-by-step explanation:

The given parameters are;

The height of the rectangular pyramid = 8 meters

The length of the base of the pyramid = 7 meters

The width of the base of the pyramid = 15 meters

Whereby triangular cross sections are formed through the vertex and perpendicular to the base, and to each other, we have;

The sides of the two triangles consists of the following;

1) Two slant height of the pyramid each

2) The two perpendicular lines joining the midpoints of the opposite sides of the base of the pyramid with length equal to the length of the adjacent side to the sides from which they are drawn which are 15 meters and 7 meters

3) The two lines and the corresponding slant height form triangles cross section which are perpendicular to each other.

the slant height, [tex]h_l[/tex], is given as follows;

[tex]h_l[/tex] = √(8² + (15/2)²) ≈ 10.966

For the triangular cross section with base = 15 m

The area of the cross section = 1/2 × Base₁₅ × Height = 1/2 × 15 m × 8 m = 60 m²

For the triangular cross section with base = 7 m

The area of the cross section = 1/2 × Base₇ × Height = 1/2 × 7 m × 8 m = 28 m²

The difference in the areas of the cross section = 60 m² - 28 m² = 32 m².

Answer:

2

Step-by-step-

It would equal both the numbers combined

Given:

The function is

[tex]f(x)=\dfrac{x^2-2x-2}{x-2}[/tex]

To find:

The vertical asymptote and oblique asymptote.

Solution:

We have,

[tex]f(x)=\dfrac{x^2-2x-2}{x-2}[/tex]

To find vertical asymptote, equate denominator equal to 0.

[tex]x-2=0[/tex]

[tex]x=2[/tex]

So, the vertical asymptote is [tex]x=2[/tex].

In the given function degree of numerator is greater than denominator so, their is an oblique asymptote. To find oblique asymptote divide the numerator by denominator.

Dividing [tex]x^2-2x-2[/tex] by [tex]x-2[/tex] using synthetic division, we get

2 |  1   -2    -2

          2     0

--------------------------

     1    0    -2

-------------------------

Here, starting elements of bottom row represent coefficient of quotient and last element of bottom row represents the remainder.

[tex]Quotient=x, Remainder=-2[/tex]

Since, quotient is x, therefore, the oblique asymptote is [tex]y=x[/tex].

Therefore, the correct option is B.

Answer:

Peyton in the correct option

Step-by-step explanation:

The correct expression is given by Peyton.

An expression is a sentence with a minimum of two numbers or variables and at least one math operation.

Consider if m is any integer, then

gcd (a + m⋅ b, b) = gcd (a, b).

If m is a positive divisor, then

gcd (a/m, b/m) = gcd (a, b)/m.

So, if x and y are prime, then

gcd(x*y, b) = gcd(x, b) *  gcd(y, b).

First, find the greatest common factor of the given terms.

The greatest common factor or GCF is the largest factor that all terms have in common.

Then, Factor out the greatest common factor from each term.

Learn more about this expression here:

https://brainly.com/question/14083225

#SPJ2

Answer:

Is the w2, w(2) or

[tex] {w}^{2} [/tex]

?

If it's w(2) the answer is -4--8+1=-4+8+1=5

if it's w^2 then the answer would be 4--8+1=4+8+1=13

Answer:

m is your slope. In parallel lines, your slopes are always the same and the y-intercept is always different. so ur slope is also 55.

hmu if u want me to tutor you! im a very good tutor and my fee is 50 cents per hour and every homework or test question is a dollar per page :)

Step-by-step explanation: