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2 years ago

7

Azaria took the equation: 4x + 3 = 2x - 18 and turned it into the equivalent equation: 2x + 3 = -18. Describe what she did to cr

eate her new equivalent equation

1 answer:

aleksley [76]2 years ago

4 0

Answer:

She subtracted both sides of the equation by 2x.

Step-by-step explanation:

Because she did that, 4x - 2x + 3 = 2x - 2x -18

When subtracting like terms, 2x + 3 = -18

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A 32cm long string just fits round the perimeter of a square board. The area of the board is

Ierofanga [76]

Answer:

64cm2

Step-by-step explanation:

(32÷4)=8

8×8=64cm2

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3 years ago

Read 2 more answers

A bakery sells 3 muffins for every 5 pizza pies.The bakery sold a total of 24 muffins and pizzas pies together.how many of each

Rudiy27

Number of muffins sold=9

and number of pizza pies sold=15

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3 years ago

Which set of numbers could represent the lengths of the sides of a right triangle?

DiKsa [7]

Answer:

The first set: 8, 15, and 17.

Step-by-step explanation:

<h3>Pair: 8, 15, 17</h3>

By the pythagorean theorem, a triangle is a right triangle if and only if

$\text{longest side}^2 = \text{first shorter side}^2 + \text{second shorter side}^2$ .

In this case,

$\text{longest side}^2 = 17^2 = 289$ .

$\begin{aligned}&\text{first shortest side}^2 + \text{second shortest side}^2 \\ &= 8^2 + 15^2\\ &=64 + 225 = 289 \end{aligned}$ .

In other words, indeed $\text{hypotenuse}^2 = \text{first leg}^2 + \text{second leg}^2$ . Hence, 8, 15, 17 does form a right triangle.

Similarly, check the other pairs. Keep in mind that the square of the longest side should be equal to the sum of the square of the two

<h3>Pair: 10, 15, 20</h3>

Factor out the common factor $2$ to simplify the calculations.

$\text{longest side}^2 = 20^2 = 400$

$\begin{aligned}&\text{first shortest side}^2 + \text{second shortest side}^2 \\ &= 10^2 + 15^2\\ &=100 + 225 = 325 \end{aligned}$ .

$\text{longest side}^2 \ne \text{first shorter side}^2 + \text{second shorter side}^2$ .

Hence, by the pythagorean theorem, these three sides don't form a right triangle.

<h3>Pair: 12, 18, 22</h3>

$\text{longest side}^2 = (2\times 11)^2 = 2^2 \times 121$ .

$\begin{aligned}&\text{first shortest side}^2 + \text{second shortest side}^2 \\ &= (2 \times 6)^2 + (2 \times 9)^2\\ &=2^2 \times(36 + 81) = 2^2 \times 117 \end{aligned}$ .

$\text{longest side}^2 \ne \text{first shorter side}^2 + \text{second shorter side}^2$ .

Hence, by the pythagorean theorem, these three sides don't form a right triangle.

<h3>Pair: 7, 9, 11</h3>

$\text{longest side}^2 = 11^2 = 121$ .

<h3> $\begin{aligned}&\text{first shortest side}^2 + \text{second shortest side}^2 \\ &= 7^2 + 9^2\\ &=49+ 81 = 130 \end{aligned}$ .</h3>

$\text{longest side}^2 \ne \text{first shorter side}^2 + \text{second shorter side}^2$ .

Hence, by the pythagorean theorem, these three sides don't form a right triangle.

6 0

3 years ago

Help plz i’ll mark you as brainliest

3241004551 [841]

Answer:what do u need help with?

Step-by-step explanation:

6 0

3 years ago

Gym membership costs $100 per year in a $2 fee per visit another gem charges $12 fee per visit with no yearly membership find th

Nimfa-mama [501]

Answer:

<em>For 10 visits, both gyms charge the same</em>

Step-by-step explanation:

<u>Equations</u>

Gym memberships' costs are:

G1 = 100 + 2x

G2 = 12x

Where x is the number of visits to the gym.

We need to find the number of visits for which the charges for both gyms are the same. Thus equating the costs:

12x = 100 + 2x

Subtracting 2x:

10x = 100

Dividing by 10:

x =10

For 10 visits, both gyms charge the same

3 0

2 years ago