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Tema [17]
3 years ago
8

Solve the quadratic equation by completing the square. x2 + 4x - 3 = 0

Mathematics
1 answer:
alukav5142 [94]3 years ago
6 0
First move the constant to the other side of the equation by adding 3 to both sides...

x^2+4x=3

Now halve the linear coefficient, 4/2=2, square it, 2^2=4, and add that value to both sides...

x^2+4x+4=7, now the left side is a perfect square of the form...

(x+2)^2=7, now take the square root of both sides...

x+2=±√7,  subtract 2 from both sides...

x=-2±√7

So x=-2-√7 and -2+√7
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Help me, I will appreciate it
AveGali [126]
They are corresponding angles - they are equal
X+95 =4x-10
Add 10 to both sides
X+105 =4x
Subtract x from both sides
105=3x
X=35

35+95= 130
7 0
3 years ago
100 POINTS FOR ANYONE WHO CAN ANSWER THESE! <3
faust18 [17]

Answer:

∠1 = 142°

<u>reason:</u> angles 1 and 2 are supplementary so they equal 180. 180-38 is 142

∠3 = 38°

<u>reason:</u> angles 2 and 3 are adjacent angles because they are diagonal from each other so they will equal the same measure.

∠4 = 142°

<u>reason:</u> since angle 4 is adjacent to angle 1 and is supplementary to angle 3, it has to be 142

∠5 = 38°

<u>reason:</u> since it is a transversal that means both of the intersections are the same measurements. so angle 5 is 38 since it matches up with angle 2

∠6 = 142°

<u>reason:</u> for the same reason as angle 5. angle 6 matches up with angle 1 so it has to equal 142.

∠8 = 142°

<u>reason:</u> since angle 8 is adjacent to angle 6 it has to equal 142. angle 8 is also a transverse angle to angle 4. and since angle 4 also equals 142, 8 has to also

Step-by-step explanation:

hope this helped you :)

8 0
3 years ago
20 points help help help
mrs_skeptik [129]

The perimeter of the shape is 94 cm and the area is 462 sq cm.

Step-by-step explanation:

Given,

The radius (r) = 14 cm

To find the area and perimeter of the given shape.

The given shape is \frac{3}{4} of the full circle.

Formula

The perimeter of the circle = 2πr

The perimeter of the given shape = \frac{3}{4}(2πr)+r+r =  \frac{3}{4}(2πr)+2r

The area of the circle = πr²

Now,

The perimeter of the given shape =  \frac{3}{4}(2×\frac{22}{7}×14)+2×14 =  94 cm

The area of the given shape = \frac{3}{4}(πr²)

= \frac{3}{4}×\frac{22}{7}×14² = 462 sq cm

7 0
3 years ago
Read 2 more answers
Can someone please help
Sedaia [141]

y = 1.5x + 6
3 0
3 years ago
David earns money by walking dogs and answering surveys. He earns $10 a week for each dog he walks and $0.12 for each survey he
Vitek1552 [10]

Answer:this is for part c I think?

Step-by-step explanation:

David walks 10 dogs, because if he earns a dollar for each dog he walked that means he walked 10 to earn 10 dollars. I’m not good with sentences so I’m sorry if you do not understand.

6 0
2 years ago
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