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3 years ago

Please take a look and help if you can!

Mathematics

1 answer:

alukav5142 [94]3 years ago

8 0

Answer:

see explanation

Step-by-step explanation:

The area of a rectangle = length × width

To find the width, divide the area by the length

width = $\frac{area}{length}$ = $\frac{3x^2+9x}{3x}$

To simplify divide each term on the numerator by 3x

= $\frac{3x^2}{3x}$ + $\frac{9x}{3x}$ = x + 3 ← width

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write the equation of the parabola and a vertex form and standard form given the following information

beks73 [17]

Answer:

see explanation

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

(9)

Here (h, k) = (3, - 2), thus

y = a(x - 3)² - 2

To find a substitute (2, 3) into the equation

3 = a(2 - 3)² - 2 ( add 2 to both sides )

5 = a(- 1)² = a , then

y = 5(x - 3)² - 2 ← in vertex form

y = 5(x² - 6x + 9) - 2

= 5x² - 30x + 45 - 2

y = 5x² - 30x + 43 ← in standard form

(10)

Here (h, k) = (2, - 5), thus

y = a(x - 2)² - 5

To find a substitute (5, 4) into the equation

4 = a(5 - 2)² - 5 ( add 5 to both sides )

9 = a(- 3)² = 9a ( divide both sides by 9 )

a = 1

y = (x - 2)² - 5 ← in vertex form

y = x² - 4x + 4 - 5

y = x² - 4x - 1 ← in standard form

4 0

3 years ago

Read 2 more answers

What is (5+3)+7=5+(3+7) is it Associative, Identity, Commutative or Substitution?

timama [110]

Answer:

Associative

Step-by-step explanation:

The associative property of addition states that you can add numbers however they are grouped inside parentheses.

It doesn't matter where you put the parentheses. You will always get the same answer.

For example,

$\begin{array}{rcl}(5 + 3) + 7 & = & 5 + (3 + 7)\\8 + 7& = & 5 + 10\\15 & = & 15\\\end{array}$

4 0

3 years ago

5 questions plz answer asap:)

Flauer [41]

5. bxh divided by 2
so 16 x 6=96

96 divided by 2 = 48

7 0

3 years ago

Read 2 more answers

What are the coordinates of the point that is one half the distance between A(−3, −5) and B(2, 7)?

Olenka [21]

Answer:

$(\frac{-1}{2},1)$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Midpoint Formula: $(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Step-by-step explanation:

Step 1: Define

A (-3, -5)

B (2, 7)

Step 2: Find midpoint

Substitute: $(\frac{-3+2}{2},\frac{-5+7}{2})$
Add: $(\frac{-1}{2},\frac{2}{2})$
Divide: $(\frac{-1}{2},1)$

3 0

3 years ago

Can someone help please I need help

mina [271]

Answer:

C= 25n+100

Step-by-step explanation:

Let's see what's in the graph :

the image of 4 is 200 C(4)=200
C(2)= 150

let m be the slope of this function :

m= $\frac{200-150}{4-2}$ =25

The first value in the graph is 100 wich is c(0)=100

so the equation is : c=25n+100

7 0

3 years ago