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Natalija [7]
3 years ago
14

Need the help thanks guys

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
7 0

Answer:

x=−5+√29 or x=−5−√29

Step

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

x2+10x+10=14

Step 1: Subtract 14 from both sides.

x2+10x+10−14=14−14

x2+10x−4=0

For this equation: a=1, b=10, c=-4

1x2+10x+−4=0

Step 2: Use quadratic formula with a=1, b=10, c=-4.

x=

−b±√b2−4ac

2a

x=

−(10)±√(10)2−4(1)(−4)

2(1)

x=

−10±√116

2

x=−5+√29 or x=−5−√29

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A builder makes drainpipes that drop 1cm over a horizontal distance of 30cm to prevent clogs. A certain drainpipe needs to cover
Ann [662]

Answer:

700.39cm

Step-by-step explanation:

For a horizontal distance of 30cm, the drop is 1cm, now we need to get the drop for horizontal distance of 700 cm to maintain the same slope

Using the concept of cross multiplication

30cm=1 cm drop

700 cm=x

30x=700

X=700/30=70/3=23 ⅓

Utilizing pythagoras theorem, the length of pipe will be

L=√(23⅓)²+700²

L=700.38878092417 cm

Rounded off, the length is approximately 700.39 cm

8 0
3 years ago
Guys help me with a) and b) tasks<br>ANSWER:<br>a) 40<br>b) 25<br>Thanks&lt;3​
umka21 [38]

Step-by-step explanation:

there are 2 similar triangles : ABE and DCE

that means they have the same angles, and the scaling factor from one triangle to the other is the same for every side.

and that means that

DE/AE = EC/BE (= DC/AB)

we know that

AE = AD + DE

BE = BC + EC

a.

so, we have actually

DE/(AD+DE) = EC/(BC+EC)

DE/(10+DE) = 8/(2+8) = 8/10 = 4/5

DE = 4(10+DE)/5

5DE = 4(10+DE) = 40 + 4DE

DE = 40 cm

b.

AD/DE = 3/5

BC/EC must be 3/5 too.

15/EC = 3/5

15 = 3EC/5

75 = 3EC

EC = 25 cm

8 0
1 year ago
Simplify the radical expression (-9√28a^2*1/3√63a)<br><br> show work
Dovator [93]
A ≥ 0

-\not9^3\sqrt{28a^2}*\frac{1}{\not3^1}\sqrt{63a}=\\\\ =-3a\sqrt{4*7}*\sqrt{9*7a}=\\\\=-3a*2\sqrt{7}*3\sqrt{7a}\\\\ =-18a\sqrt7*\sqrt 7*\sqrt a=\\\\=-18a*(\sqrt7)^2*\sqrt a =\\\\ =-18a*7*\sqrt a=\\\\ =-126a\sqrt a
8 0
3 years ago
(08.05)Some students reported how many textbooks they have. The dot plot shows the data collected:
steposvetlana [31]
The answer is B) There are exactly 4 students with 6 textbooks
7 0
3 years ago
Mr. Jameson will stain the deck in his backyard the deck has an area of 752.4 square feet if the deck is 33 ft long how wide is
Sergio039 [100]
752.4/33 = width
Plug that into your calculator and you'll get the answer.
Justification: legnth times width = area, so area divided by length = width
8 0
3 years ago
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