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3 years ago

6

1 answer:

3 0

Explanation: A diagonal of a rectangle cuts the rectangle into 2 right triangles with sides equal to the sides of the rectangle and with a hypotenuse that is the diagonal. All you need to do is use the pythagorean theorem: where a and b are the sides of the rectangle and c is the length of the diagonal.

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Who do you add 2/5+ 3/4

adelina 88 [10]

Find common denominators
2/20+3/20
then multiply 3x4=12/20
then 2x5=15/20
last add that 27/20

5 0

3 years ago

What is the solution of sqrt2x+4=15

melomori [17]

Answer:

x = 126

Step-by-step explanation:

Square both sides of the equation. (sqrt2x+4)^2 = 16^2

2x+4 = 256

Then you should solve for x. (First Subtract 4 from both sides; Then simplify; Next divide both sides by 2; Finally, simplify once more)

This should give you your answer. (x = 126)

Hope this helps! ^-^

7 0

3 years ago

Read 2 more answers

Although the earth's orbit about the sun is elliptical, the average distance from the earth to the sun is approximately 93 milli

Gekata [30.6K]

I’m thinking it’s d

5 0

3 years ago

Read 2 more answers

QUICKLY HELP GEOMETRY

aliina [53]

x + 2 / 6 = 2/3

3(x + 2) = 2*6

3x + 6 = 12

3x = 6

x = 2 answer

8 0

3 years ago

Which of the following number lines and solution sets show the values of r that make the inequality -2r+3<9 true

scoray [572]

Answer:

"Solving'' an inequality means finding all of its solutions. A "solution'' of an inequality is a number which when substituted for the variable makes the inequality a true statement. When we substitute 8 for x, the inequality becomes 8-2 > 5. Thus, x=8 is a solution of the inequality.

Step-by-step explanation:

Example 1:

Consider the inequality

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The basic strategy for inequalities and equations is the same: isolate x on one side, and put the "other stuff" on the other side. Following this strategy, let's move +5 to the right side. We accomplish this by subtracting 5 on both sides (Rule 1) to obtain

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after simplification we obtain

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Once we divide by +2 on both sides (Rule 3a), we have succeeded in isolating x on the left:

displaymath176

or simplified,

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All real numbers less than 1 solve the inequality. We say that the "set of solutions'' of the inequality consists of all real numbers less than 1. In interval notation, the set of solutions is the interval tex2html_wrap_inline187 .

Example 2:

Find all solutions of the inequality

displaymath189

Let's start by moving the ``5'' to the right side by subtracting 5 on both sides (Rule 1):

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or simplified,

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How do we get rid of the ``-'' sign in front of x? Just multiply by (-1) on both sides (Rule 3b), changing " tex2html_wrap_inline201 " to " tex2html_wrap_inline203 " along the way:

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or simplified

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All real numbers greater than or equal to -1 satisfy the inequality. The set of solutions of the inequality is the interval tex2html_wrap_inline205 .

Example 3:

Solve the inequality

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Let us simplify first:

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There is more than one route to proceed; let's take this one: subtract 2x on both sides (Rule 1).

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and simplify:

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Next, subtract 9 on both sides (Rule 1):

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simplify to obtain

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Then, divide by 4 (Rule 3a):

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and simplify again:

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It looks nicer, if we switch sides (Rule 2).

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In interval notation, the set of solutions looks like this: tex2html_wrap_inline227 .

4 0

2 years ago