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valentina_108 [34]

2 years ago

7

Solve this quadratic equation by completing the square. x^2+10x=7

1 answer:

bogdanovich [222]2 years ago

3 0

Ok, so the quadratic coefient is 1, so great

take 1/2 of the linear coefient and square it
10/2=5, (5)^2=25
add that to both sides
x^2+10x+25=7+25
factor perfect square trionomial
(x+5)^2=32
squaer root both sides
x+5=+/-4√2
minus 5
x=-5+/-4√2

x=-5+4√2 and -5-4√2

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Lauren coordinates a construction projects for a cement company. A government project requires constructing two rectangular conc

I am Lyosha [343]

Answer:

7

Step-by-step explanation:

Total concrete for slabs

24 * 24 * 1 = 576 ft³

Additional 20 %

By rule of three

if 576 ⇒ 100

x?? ⇒ 20 x = 115,2

And there are 2 slabs, the total volume of concrete is:

Q(t) = 2* (576 + 115,2 ) Q(t) = 1382,4 ft³ (1)

If the truck can carry a maximum of 8 yd³, as 1 ft³ = 0,037 yd³

then a truck can carry a maximum of

8/ 0,037 = 216,21 ft³

Now the total quantity is 1382,4

Then

1382,4/216,21 = 6,39

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3 years ago

The time it takes me to wash the dishes is uniformly distributed between 10 minutes and 15 minutes. what is the probability that

Bumek [7]

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3 0

3 years ago

Find the volume of this solid.

bija089 [108]

Answer:

Step-by-step explanation:

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6 0

2 years ago

A number line going from negative 2 to 0 in increments of 1. There are 4 equal spaces between each number. Point D is between th

valkas [14]

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Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

3<br>Find the value of a <br>in the equation,(3+4√3)(2-a√3)=-18+2√3

ankoles [38]

Given:

The equation is:

$\left(3+4\sqrt{3}\right)\left(2-a\sqrt{3}\right)=-18+2\sqrt{3}$

To find:

The value of a.

Solution:

We have,

$\left(3+4\sqrt{3}\right)\left(2-a\sqrt{3}\right)=-18+2\sqrt{3}$

On simplification, we get

$(3)(2)+(4\sqrt{3})(2)+(3)(-a\sqrt{3})+(4\sqrt{3})(-a\sqrt{3})=-18+2\sqrt{3}$

$6+8\sqrt{3}-3a\sqrt{3}-4a(3)=-18+2\sqrt{3}$

$6+8\sqrt{3}-3a\sqrt{3}-12a=-18+2\sqrt{3}$

$(6-12a)+(8-3a)\sqrt{3}=-18+2\sqrt{3}$

On comparing both sides, we get

$6-12a=-18$

$-12a=-18-6$

$a=\dfrac{-24}{-12}$

$a=2$

And,

$8-3a=2$

$-3a=2-8$

$a=\dfrac{-6}{-3}$

$a=2$

Therefore, the value of a is 2.

3 0

2 years ago