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3 years ago

If the legs of a right triangle are x, (2x - 1) and its hypotenuse is (2x + 1), what is the value of x?

Mathematics

1 answer:

Ber [7]3 years ago

3 0

Answer:

x=8

Step-by-step explanation:

(2x + 1)² = x² + (2x - 1)² = x² + (2x - 1)(2x - 1)

(2x + 1)(2x + 1) = x² + 4x²-2x-2x+1

4x²+2x+2x+1 = 5x²-4x+1

4x²+4x+1 = 5x²-4x+1

0= 5x²-4x²-4x-4x+1-1

0= x²-8x

x²-8x=0

x²=8x

x=8

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Ven Diagrams with union and intersection problems shading in diagram

Anika [276]

Answer:

4 types of questions one will be to read, 2nd will be to subtract, one will be to add, the next will be to find missing numbers each are expressed below.

Step-by-step explanation:

This is a two-circle Venn diagram. The 1st circle is A, and the 2nd circle is B. The complete Venn diagram represents the union of A and B, or A ∪ B.

Just intersect is A ∩ B

Just intersect B ∩ A

A∩B= A∩B={2} differs significantly from below.

A small ∁

(sometimes denoted as ~A or ¬A)

is pronounced as: "A complement" (or "not A", for the other notations)

means: the new set gets everything that is in the universe but is outside of A; it's okay if the element is in B, just so long as it is not also in A

in terms of the elements: {1, 2, 3, 4} – {1, 2}

my answer: = A ∁ ={3,4}

A – B (or A \ B)in terms of the elements: {1, 2} – {2, 3}

A – B = {1}

A∪B)=¬(A∪B)in terms of the elements: = {1, 2, 3, 4} – {2}

in terms of the elements: {1, 2, 3, 4} – ({1, 2} ∪ {2, 3}) = {1, 2, 3, 4} – {1, 2, 3}

(4) elements here are just the remainder my answer: my answer:(A∪B)={4}

6 0

3 years ago

Please do this ASAP! Due tomorrow. 9:12pm here.

Mumz [18]

Answer:

compare (1/2)^3 is greater than (a/b)^2

Step-by-step explanation:

1/2*1/2*1/2= 0.125 or 1/8

1/4 * 1/4=0.0625 or 1/16

8 0

3 years ago

An electronics store received two shipments of radios. Of the 250 radios in the first shipment, exactly 6% were damaged. In the

nataly862011 [7]

Answer:

Total number of not damaged = 451

C. 451

Step-by-step explanation:

In the first shipment, 6% of the 250 radios where damaged.

Number of damaged= 6/100 * 250

Number of damaged= 6*2.5

Number of damaged= 15 radios.

Number of not damaged= 250-15

Number of not damaged = 235 radios

In the second shipment, 4% of the radios were damaged

Let the number of second shipment= y

0.04 of y where damaged

Total number of radio damaged= 24

15 + 0.04y = 24

0.04y= 24-15

0.04y = 9

Y= 9/0.04

Y= 225

Number of radio in the second shipment= 225

Number of damaged in the second shipment= 0.04*225

Number of damaged in the second shipment= 9

Number of not damaged in the second shipment= 225-9

Number of damaged in the second shipment= 216

Total number of not damaged

= 235+216

= 451

Total number of not damaged= 451

7 0

3 years ago

Sofia takes 10mg of a medicine whose concentration in blood decreases by a factor of one half every day. Let t be the number of

adelina 88 [10]

Answer:

$L = 10(\frac{1}{2} )^{t-4}$

Step-by-step explanation:

If t is the number of days since Sofia took the medication of 10 mg, then the amount of medication in her system after t days will be $S = 10(\frac{1}{2} )^{t}$ .

So, the concentration of medicine in blood decreases by a factor of one half every day.

If we count the number of days from today and Lexi takes 10 mg of the same medicine four days later then the amount of medicine left on her body after t days will be $L = 10(\frac{1}{2} )^{t-4}$ . (Answer)

3 0

3 years ago

Read 2 more answers

Evaluate the expression when a = 2.<br> a^2+7a+7

Galina-37 [17]

Answer:

Step-by-step explanation:

a² + 7a + 7

a = 2

Plug in the value of 2 for every occurance of a.

(2)² + 7(2) + 7

First, solve the exponent.

4 + 7(2) + 7

Now, multiply.

4 + 14 + 7.

Add.

This is your answer.

Hope this helps!

7 0

3 years ago

If the legs of a right triangle are x, (2x - 1) and its hypotenuse is (2x + 1), what is the value of x?​

If the legs of a right triangle are x, (2x - 1) and its hypotenuse is (2x + 1), what is the value of x?