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2 years ago

For the rectangle shown, which equation can be used to find the value of x?

Mathematics

1 answer:

trasher [3.6K]2 years ago

6 0

Answer:

Pythagorean theorem $a^{2} +b^{2} =c^{2}$

Step-by-step explanation:

$a^{2} +b^{2} =c^{2} \\x^{2} +3.6^{2} =7.4^{2} \\x^{2} +12.96=54.76\\x^{2} =\sqrt{41.8} \\x=6.47\\$

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Apply the distributive property to write an equivalent expression.

aleksley [76]

Answer:

6x + 48

Step-by-step explanation:

multiply each term inside the () by 6

6x + 6*8

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3 years ago

The equation that represents the canned goods order is 24x + 64y = 384, where x = number of minutes spent producing fruit cans,

Lubov Fominskaja [6]

So wee need to find x

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3 years ago

Read 2 more answers

The equation

ra1l [238]

<h2>Explanation:</h2>

Let's use a trial and improvement method to find this solution.

Step 1. Let's choose x = 8.5

Substituting into the equation:

$(8.5)^2+ 3(8.5) - 94=0? \\ \\ 72.25+25.5-94=0? \\ \\ 3.75\neq 0$

Step 2. Let's choose x = 8.4

Substituting into the equation:

$(8.4)^2+ 3(8.4) - 94=0? \\ \\ 70.56+25.2-94=0? \\ \\ 1.76\neq 0$

Step 3. Let's choose x = 8.3

Substituting into the equation:

$(8.3)^2+ 3(8.3) - 94=0? \\ \\ 68.89+24.9-94=0? \\ \\ -0.21\neq 0$

Since the sign of the equation changes from positive to negative when evaluating from 8.4 to 8.3, then x = 8.3 seems to be a reasonable value. Finally, the solution to 1 decimal place is:

$x=8.3$

6 0

3 years ago

The maximum capacity of the school auditorium is 420 people. Write an inequality for the situation. Tell what type of numbers th

posledela

The number of people in the auditorium can be less than or equal to 420 so let p represent the number of people
The inequality is p≤420

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3 years ago

What are the solutions of the equation x4 + 95x2 – 500 = 0? Use factoring to solve. x = plus-or-minus StartRoot 5 EndRoot and x

Oduvanchick [21]

Answer:

* x ⇒ plus-or-minus StartRoot 5 EndRoot and ±10i *

Step-by-step explanation:

Through factorization;

x^4 + 95x^2 – 500 = 0, ⇒ u^2 ⇒ x^2,

u^2 + 95u - 500 = 0, ⇒ factors of -500; -25, 20, -50 * 10, -2 * 250, -5 * 100...

( u )^2 + ( - 5 + 100 ) + ( - 5 * 100 ) = 0,

( u - 5 )( u + 100 ) = 0,

u = 5, and y = - 100

Substitute u back into format x^2;

u = x^2, 5 = x^2, | x | = √5 ⇒ x = - / + √5,

u = x^2, - 100 = x^2, | x | = √- 100 ⇒ x = - / + 10i

* Answer: x ⇒ plus-or-minus StartRoot 5 EndRoot and ±10i *

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3 years ago

For the rectangle shown, which equation can be used to find the value of x?​

For the rectangle shown, which equation can be used to find the value of x?