1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Flauer [41]
3 years ago
11

Plz Help!!! Will Give Brainliest to the First Person that answers!!!

Mathematics
1 answer:
Tatiana [17]3 years ago
8 0

Answer:

15 square units.

Step-by-step explanation:

To find the area, we must find the width and length of the rectangle. To find the width and length, we need to find the length of AB and the length of BC. We use the distance formula.

AB: A(-8, 3); B(-3, 3).

\sqrt{(-8-(-3))^2+(3-3)^2}

= \sqrt{(-8+3)^2+0^2}

= \sqrt{(-5)^2+0}

= \sqrt{25 }

= 5

BC: B(-3, 3); C(-3, 6).

\sqrt{(-3-(-3))^2+(3-6)^2}

= \sqrt{(-3 + 3)^2+(-3)^2}

= \sqrt{(0)^2+9}

= \sqrt{0+9}

= \sqrt{9}

= 3

Now that we have both the width and the length, we can solve for the area using A = lw, where A is the area, l is the length, and w is the width. In this case, l = 5 and w = 3.

A = lw

A = 5 * 3

A = 15

So, the area of the rectangle is 15 square units.

Hope this helps!

You might be interested in
Circumfrance of a circle, (Show working)
Ronch [10]

Answer:

25.1cm

Step-by-step explanation:

C=2πr

here radius, r=4 cm and π=3.142

Put values in formula.

C=2(3.142)(4)

C=25.1 cm (Rounded to 1 decimal place)

3 0
2 years ago
Read 2 more answers
15. A rectangle has a length of 2x - 1 and a width of 3x + 7. Find the perimeter of this rectangle.
andrew11 [14]

Answer:

10x + 12 and 6x² + 11x - 7

Step-by-step explanation:

The perimeter (P) of a rectangle is calculated as

P = 2l + 2w ( l is length and w is width )

   = 2(2x - 1) + 2(3x + 7) ← distribute parenthesis

    = 4x - 2 + 6x + 14 ← collect like terms

     = 10x + 12

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

The area (A) of a rectangle is calculated as

A = lw

   = (2x - 1)(3x + 7) ← expand using FOIL

    = 6x² + 14x - 3x - 7 ← collect like terms

    = 6x² + 11x - 7

7 0
3 years ago
1-69.
timofeeve [1]

The question above was not written properly

Complete Question

Lacey and Haley are rewriting expressions in an equivalent, simpler form.

a. Haley simplified x³⋅ x² and got

x⁵

Lacey simplified x³ + x² and got the same result! However, their teacher told them that only one simplification is correct. Who simplified correctly and how do you know?

b. Haley simplifies 3⁵⋅ 4⁵ and gets the result 12^10, but Lacey is not sure.

Is Haley correct? Be sure to justify your answer.

Answer:

a) Haley is correct, Lacey simplified wrongly.

b) Haley is incorrect

Step-by-step explanation:

a. Haley simplified x³⋅ x² and got

x⁵

Lacey simplified x³ + x² and got the same result! However, their teacher told them that only one simplification is correct. Who simplified correctly and how do you know?

For Question a, when it comes to simplifying algebraic expression that has to do with powers, there are certain rules that should be followed.

For example

x^a × x^b = x^(a + b)

For Haley, she simplified x³⋅ x² and got

x⁵

She is correct because this follows the product rule of powers or exponents above

= x³⋅ x² = x³+² = x⁵

For Lacey she is wrong because:

x³ + x² ≠ x⁵

x³ + x² when simplified as quadratic equation = x²(x + 1)

b. Haley simplifies 3⁵⋅ 4⁵ and gets the result 12^10, but Lacey is not sure.

Is Haley correct? Be sure to justify your answer.

For question b, when we have two distinct or different numbers with the same power(exponents) the rule states that:

x^a × y^a = (x × y)^a = (xy)^a

Haley is simplified wrongly. She did not apply the rule above

Haley simplified 3⁵⋅ 4⁵ = (3 × 4) ⁵+⁵

= 12^10, this is wrong.

The correct answer according to the rule =

3⁵⋅ 4⁵ = (3 × 4) ⁵ = 12⁵

Therefore,

3⁵⋅ 4⁵ ≠ 12^10

3⁵⋅ 4⁵ = 12⁵

Haley is wrong.

3 0
3 years ago
What type of polynomial is: 3x^4 - 2x^3 - 2
butalik [34]

This polynomial has only 3 terms, so it is a trinomial. <em>Hope it helps!</em>

3 0
1 year ago
How many times does 6 go into 110
juin [17]
6 goes into 110 approximately 18 times.
7 0
3 years ago
Read 2 more answers
Other questions:
  • Write the fraction 2/5 as an equivalent with the given denominator 25
    8·2 answers
  • Need help ASAP thanks
    5·1 answer
  • Here is how Lydia found the product 4/5 x 10. Use the model given to show that Lydia’s answer is correct.
    5·1 answer
  • Suppose the clay the teacher buys is available only in 10 pound packages.How would the graph be different from the one shown on
    9·1 answer
  • I need help please?!!!!!!
    6·2 answers
  • What’s the answer????
    9·1 answer
  • Y intercept 1 and slope 4
    10·2 answers
  • Question 2 Multiple Choice Worth 5 points)
    10·1 answer
  • What is the missing fifth term in the<br> pattern below?<br> 1,8, 27, 64, ___
    11·1 answer
  • Use the distributive property to simplify: 3 - 4(7e+4)
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!