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BlackZzzverrR [31]
2 years ago
9

Solve by completing the square

Mathematics
1 answer:
xz_007 [3.2K]2 years ago
7 0

Step-by-step explanation:

{x}^{2}  + 2x - 2 = 0

Now Adding three on both sides we get

{x}^{2}  + 2x - 2 + 3 = 0 + 3

{x}^{2}  + 2x + 1 = 3

{(x + 1)}^{2}   = 3

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write the number of digits in the square root of the 6407522209 i can't solve this question please can you hepl me​
Contact [7]

Answer:

The square root of this is 80047

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Nth sequence term question
SSSSS [86.1K]
One example is when n is 11. 11^2 + 4 = 125. 11 is odd but the 11th term of the sequence, 125, is not prime because 125 is divisible by 5 and 25.
6 0
3 years ago
In this diagram, ABAC – AEDF. If the<br> area of ABAC = 6 in?, what is the<br> area of AEDF?
shepuryov [24]

Answer:

2.7 in²

Step-by-step explanation:

similar triangles have the same angles, and all side lengths (or other distances) of one triangle have the same scaling factor to the side lengths of the other triangle.

so, we know the relation between the 2 baselines is 2/3, as this is the factor to turn the baseline of the large triangle into the baseline of the smaller triangle.

in other words

EF = BC × 2/3

2 = 3 × 2/3

correct

how do we calculate the area of a triangle ?

Area = baseline × height / 2

from BAC we know

Area = 6

baseline = 3

height = ?

6 = 3 × height / 2

12 = 3 × height

height = 4

aha !

now, EDF has a height too that we need to calculate is Area. and this height has the same scaling factor compared to the larger triangle as the side lengths : 2/3

so, for EDF we know

Area = ?

baseline = 2

height = 4 × 2/3 = 8/3

therefore, the area is

Area = (2 × 8/3) / 2 = (16/3) / 2 = 8/3 = 2.66666... ≈ 2.7

the shirt answer would be :

we know from the 2 baselines that the scaling factor for each distance is 2/3.

for the area we need to multiply 2 distances, so that means we have to multiply both by 2/3. and so on the formula for the area we have to use 2/3 × 2/3.

2/3 × 2/3 = 4/9

=>

Area small = Area large × 4/9 = 6 × 4/9 = 24/9 = 8/3 ≈ 2.7

3 0
3 years ago
If the first chapter of a certain book is 16 pages long and makes up 4% of the book, how many pages does the entire book have?
galina1969 [7]
If 16 pages equal to 4%, how many pages will equal to 100%?

4/100 = 16/x
4x=1600
X= 400

So total pages should be 400.
5 0
2 years ago
What is the focus of the parabola?<br><br> y=−14x2−2x−2
nataly862011 [7]
First, we need to transform the equation into its standard form (x - h)²=4p(y - k).
Using completing the square method:

y = -14x² - 2x - 2
y = -14(x² + 2x/14) - 2
y = -14(x² + 2x/14 + (2/28)²) -2 + (2/28)²
y = -14(x + 1/14)² - 391/196
-1/14(y + 391/196) = (x + 1/14)²

This is a vertical parabola and its focus <span>(h, k + p) is (-1/14, -391/196 + 1/56) = (-1/14, -775/392).

Or (-0.071,-1.977).</span>
3 0
3 years ago
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