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Alex787 [66]
4 years ago
5

30 POINTS! x + 1 = 2 ÷ x + 1

Mathematics
1 answer:
Semmy [17]4 years ago
3 0

For this case we have the following equation:

x + 1 = \frac {2} {x + 1}

We must find the value of x + 1:

Multiplying both sides of the equation byx + 1:

(x + 1) ^ 2 = 2

Applying square root on both sides of the equation to eliminate the exponent:

x + 1 = \sqrt {2}

Answer:

Option B

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Step 3: Let LM = x. We know the lengths of the radii of each circle, so KL = 12 +
kow [346]

Answer:

Step-by-step explanation:

Step 3:

Let LM = x

OK = KP = 12 units [Radii of circle K]

LN = LP = 8 units [Radii of circle L]

Therefore, KL = KP + PL

KL = 12 + 8

     = 20 units

Step 4:

Since, ΔKOM and ΔLNM are the similar triangles,

By the property of two similar triangles, corresponding sides of these similar triangles will be proportional.

\frac{OK}{NL}=\frac{KM}{LM}

\frac{12}{8}=\frac{x+20}{x}

12x = 8(x + 20) [By cross multiplication]

12x = 8x + 160

12x - 8x = 160

4x = 160

x = 40

3 0
3 years ago
What property is demonstrated by 7+h=h+7
julia-pushkina [17]

Answer:

commutative property

hope that helped, if yes give me brainliest and if no draw my attention by hitting the comment box.

5 0
3 years ago
Read 2 more answers
Sid starts with savings of £13
MAVERICK [17]

Answer:

The savings of Sid and Tim will be in 17:9 in 6 weeks.

Step-by-step explanation:

Initial savings of Sid = £ 13

Initial savings of Tim = £ 0

For each successive week Sid saved = £ 3.5

For each successive week Tim saved = £ 3

Let us assume that after "x weeks" the amounts of Sid and Tim are in ratio 17:9.

If Sid saves £ 3.5 in one week, in x weeks he will £ 3.5x. Since he had £ 13 initially, total amount he would have in x weeks will be £ (13 + 3.5x)

If Time saves £ 3 one week, in x weeks he will save £ 3x. Since, he didn't have any money initially, in x weeks he would have saved £ 3x

The ratio of their savings in x weeks would be 17:9

So,

Sid's saving : Tim's saving = 17 : 9

Using the values of expressions, we get:

13+3.5x:3x=17:9\\\\\frac{13+3.5x}{3x}=\frac{17}{9}\\\\ 9(13+3.5x)=17(3x)\\\\ 117+31.5x=51x\\\\ 117=51x-31.5x\\\\ 117=19.5x\\\\ x=\frac{117}{19.5}\\\\ x=6

This means, the savings of Sid and Tim will be in 17:9 in 6 weeks.

5 0
3 years ago
Area for rectangle in the coordinate plane. IXL Geometry help pls !
Sidana [21]

Answer:

Step-by-step explanation:

The co-ordinates of the rectangle are:

A (8, 6)

B (-4, -10)

C (-8, -7)

D (4, 9)

The Area of Rectangle is Given by: <em>length x breadth </em>= AB x BC

Lengths of AB and BC can be found by distance formula

<em>length</em>(AB) = \sqrt{(x_{2} - x_{1} )^{2} + (y_{2} - y_{1} )^{2}} = \sqrt{(-4-8)^{2} + (-10-6)^{2}} = 20

Similarly,

<em>length</em>(BC) = 5

Area of Rectangle = AB x BC = 20 x 5 = 100 square units

5 0
3 years ago
Okay, help me out here!!
luda_lava [24]

Answer:

65.8

Step-by-step explanation:

(2.6*4.7)/2=6.11

11*4.7=51.7

(4.7(17-(2.6+11)))/2=7.99

6.11+51.7+7.99=65.8

3 0
4 years ago
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