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3 years ago

What is the area of this figure drag and drop the appropriate number into the box

Mathematics

1 answer:

lyudmila [28]3 years ago

4 0

Answer:

142ft squared

Step-by-step explanation:

It was actually very easy, the working may not be clear and hard to understand but it's on the attached image. Hope I helped! :)

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Find the limit of the function algebraically. limit as x approaches negative 2 of quantity x squared minus four divided by quant

lakkis [162]

ANSWER

The limit is -4

EXPLANATION

$\displaystyle\lim_{x\to -2} \dfrac{x^2-4}{x+2}$

The numerator factors into (x-2)(x+2)

$\displaystyle\lim_{x\to -2} \dfrac{(x-2)(x+2)}{x+2}$

The (x+2) cancel out

$\displaystyle\lim_{x\to -2} (x-2)$

By direct substitution

$\displaystyle\lim_{x\to -2} (x-2) = -2 -2 = -4$

4 0

3 years ago

Read 2 more answers

Distance Formula D=√(x2-x1)² + (y2 - y₁) ² a. 8.149 b. 8.84 c. 9.438 d.12.369

lakkis [162]

Answer:

Step-by-step explanation:

using the distance formula

d = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }$

with (x₁, y₁ ) = (- 2, 4 ) and (x₂, y₂ ) = (10, 1 )

d = $\sqrt{10-(-2))^2+(1-4)^2}$

= $\sqrt{(10+2)^2+(-3)^2}$

= $\sqrt{12^2+9}$

= $\sqrt{144+9}$

= $\sqrt{153}$

≈ 12.369

5 0

2 years ago

5x-3-2x/7=24 solve for x

bearhunter [10]

Answer:

X=5.7

Step-by-step explanation:

5x-3-2x/7=24

We simplify the equation to the form, which is simple to understand

5x-3-2x/7=24

Simplifying:

5x-3-0.285714285714x=24

We move all terms containing x to the left and all other terms to the right.

+5x-0.285714285714x=+24+3

We simplify left and right side of the equation.

+4.71428571429x=+27

We divide both sides of the equation by 4.71428571429 to get x.

x=5.72727272727

7 0

3 years ago

The sum of 3 consecutive odd numbers is 177. What is the value of the smallest number in the sequence

riadik2000 [5.3K]

Ok this is a very question that can solved very easily. So we know that there three numbers, and they are consecutive, this means that they are all one bigger than the number before so for example 1,2, and 3 or 20, 21, and 22. These numbers are called consecutive. Now let's just pretend that the answer to this question is the variable "x". Now x is the smallest number in all the three numbers.

Using our knowledge of consecutive numbers we can say that the next to numbers will be one more than the number before so:

(x+1) and (x+2)

So we have our three numbers: x , x+1 , and x+2. Now let's set these numbers equal to 177.

177 = x + x + 1 + x + 2 → Combine like terms.

177 = 3x + 3 → Subtract 3 from both sides.

174 = 3x → Divide both sides by 3

58 = x

So that means that our first and smallest number is going to be 58 our second number will be +1 so 59 and our third number will be +2 so 60.

So the three numbers will be 58, 59, and 60.

Hope this helped.

4 0

3 years ago

A triangle has a perimeter of 13x-21 units. One side is 4x+3 units. The other side is 5x-8 units. Write an expression to find th

Zepler [3.9K]

Answer:

4x - 16

Step-by-step explanation:

A triangle is a three sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees

the perimeter of a triangle = sum of the side lengths

let the unknown length be represented with y

13x - 21 = 4x + 3 + 5x - 8 + y

13x- 21 = 9x - 5 + y

Make y the subject of the formula

13x - 21 - 9x + 5 = y

4x - 16 = y

the side length = 4x - 16

7 0

3 years ago