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2 years ago

14

Simplify 13 < z +5 Solve the inequality for z

2 answers:

ra1l [238]2 years ago

6 0

Answer:

Let's solve your inequality step-by-step.

13<z+5

Step 1: Flip the equation.

z+5>13

Step 2: Subtract 5 from both sides.

z+5−5>13−5

z>8

Answer:

z>8

Step-by-step explanation:

lorasvet [3.4K]2 years ago

3 0

<h3>hello!</h3>

First of all, subtract 5 from both sides:-

13-5<z+5-5

13-5<z

8<z

Since 8 is less than z, z is greater than 8:-

$\bigstar{\boxed{\pmb{z > 8}}$

Hence, all the numbers greater than 8 will make this inequality true.

<h3>note:-</h3>

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

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enyata [817]

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The probability of obtaining a target can be written as:
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4 0

4 years ago

How would I solve this?

givi [52]

Answer:

The valid value of x is x=-2

Step-by-step explanation:

we know that

The sum of the interior angles of any quadrilateral must be equal to 360 degrees

so

$(7x^{2}-24x)+100+(24-46x)+(3x^{2}+56)=360$

solve for x

Combine like terms

$10x^{2}-70x+180=360$

$10x^{2}-70x-180=0$

Divide by 10 both sides

$x^{2}-7x-18=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^{2}-7x-18=0$

so

$a=1\\b=-7\\c=-18$

substitute in the formula

$x=\frac{-(-7)(+/-)\sqrt{-7^{2}-4(1)(-18)}} {2(1)}$

$x=\frac{7(+/-)\sqrt{121}} {2}$

$x=\frac{7(+/-)11} {2}$

$x=\frac{7(+)11} {2}=9$

$x=\frac{7(-)11} {2}=-2$

Remember that

The measure of the interior angle cannot be a negative number

For x=9

we have that the measure of one interior angle of quadrilateral is

$24-46x$

substitute the value of x

$24-46(9)=-390\°$

therefore

The value of x=9 cannot be a solution

For x=-2

The measure of the interior angles are

$(7(-2)^{2}-24(-2))=76\°\\100\°\\(3(-2)^{2}+56)=68\°\\24-46(-2)=116\°$

therefore

The valid value of x is x=-2

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Answer:

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Step-by-step explanation:

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3 years ago

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Strike441 [17]

The surface area of the triangular prism is of 140 cm².

<h3>What is the surface area of a prism?</h3>

It is the sum of the areas of all faces of a prism. In this problem, the prism has these following faces:

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2 years ago

If I have 297 dogs but 5 wolves came and toke 131. How many are left?

spin [16.1K]

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3 years ago

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