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2 years ago

Solve the equation.

{x(x+2)} = 0" alt="\sqrt{x(x+2)} = 0" align="absmiddle" class="latex-formula">

Mathematics

1 answer:

mixer [17]2 years ago

6 0

$\sqrt{x(x+2)} = 0 x(x+2)=0\\ x=0 /or/ x+2=0 x=0 /or/ x=-2$

ok done. Thank to me :>

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Without using your calculator, decide which of these is larger: log8 62 or log7 50. How confident are you of your answer? Explai

nataly862011 [7]

Answer:

Step-by-step explanation:

log8 62 = x1

8^x1= 62

8^2 =64 >62 so x1<2

log7 50=x2

7^x2=50

7^2=49<50 so x2>2

we have, x1<2 and 2<x2

x1<2<x2

x1<x2

log8 62<log7 50

6 0

3 years ago

ABC and EDC are straight lines. EA is parallel to DB. EC = 8.1 cm. DC = 5.4 cm. DB = 2.6 cm. (a) Work out the length of AE. cm (

harkovskaia [24]

By applying the knowledge of similar triangles, the lengths of AE and AB are:

a. $\mathbf{AE = 3.9 $ cm}\\\\$

b. $\mathbf{AB = 2.05 $ cm} \\\\$

See the image in the attachment for the referred diagram.

The two triangles, triangle AEC and triangle BDC are similar triangles.
Therefore, the ratio of the corresponding sides of triangles AEC and BDC will be the same.

This implies that:

AC/BC = EC/DC = AE/DB

Given:

$EC = 8.1 $ cm\\\\DC = 5.4 $ cm\\\\DB = 2.6 cm\\\\AC = 6.15 $ cm$

a. Find the length of AE:

EC/DC = AE/DB

Plug in the values

$\frac{8.1}{5.4} = \frac{AE}{2.6}$

Cross multiply

$5.4 \times AE = 8.1 \times 2.6\\\\5.4 \times AE = 21.06$

Divide both sides by 5.4

$AE = \frac{21.06}{5.4} = 3.9 $ cm$

b. Find the length of AB:

$AB = AC - BC$

AC = 6.15 cm

To find BC, use AC/BC = EC/DC.

Plug in the values

$\frac{6.15}{BC} = \frac{8.1}{5.4}$

Cross multiply

$BC \times 8.1 = 6.15 \times 5.4\\\\BC = \frac{6.15 \times 5.4}{8.1} \\\\BC = 4.1$

Thus:

$AB = AC - BC$

Substitute

$AB = 6.15 - 4.1\\\\AB = 2.05 $ cm$

Therefore, by applying the knowledge of similar triangles, the lengths of AE and AB are:

a. $\mathbf{AE = 3.9 $ cm}\\\\$

b. $\mathbf{AB = 2.05 $ cm} \\\\$

Learn more here:

brainly.com/question/14327552

3 0

2 years ago

Brendan has 33 coins in his pocket, all of which are dimes and quarters. if the total value of his change is 615 cents, how many

Amanda [17]

If all were dimes, the value would be $3.30. Brendan has $2.85 more than that. Each quarter that replaces a dime increases the value by $0.15, so Brendan must have $2.85/$0.15 = 19 quarters.

Brendan has 14 dimes and 19 quarters.

6 0

3 years ago

<img src="https://tex.z-dn.net/?f=53%20%5Ctimes%20%5Cfrac%7B8%7D%7B6%7D%20" id="TexFormula1" title="53 \times \frac{8}{6} " alt=

Strike441 [17]

Answer:

What do you want your answer in? Exact or decimal form?

Exact form: 212/3

Decimal form 70.6

Step-by-step explanation:

Cancel the common factor of 8 and 6 for 53 * 4/3. Multiply 53(4/3), 212/3. This would be the answer for the exact form, decimal form is created by dividing 212 by 3, for 70.66666--.

8 0

3 years ago

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13. Use the distributive property

Brrunno [24]

Answer:

4x-14 jrjejejeueuueuw

5 0

2 years ago

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