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zheka24 [161]
3 years ago
11

1 of 30

Mathematics
1 answer:
Vesna [10]3 years ago
4 0
I believe the answer is true but I’m not a 100% sure of it
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Find the values of x and y
just olya [345]

Answer:

x=90° and y= 43°

Step-by-step explanation:In ∆ABC Applying

Angle sum property

47°+47°+2y=180°

y=43°

In ∆ABD Applying Angle sum property

x=90°

6 0
4 years ago
Read 2 more answers
Find the value(s) of k such that 4x² + kx + 4 = 0 has 1 rational solution
Blababa [14]

Answer:

If you mean only one rational solution, the answer is

k_1 = 8, k_2 = -8

If you mean at least 1 rational solution, the answer is

k\in (-\infty, -8]\cup[8, \infty)

Step-by-step explanation:

4x^2 + kx + 4 = 0

Let's calculate the discriminant.

\Delta = b^2 - 4ac

\Delta = k^2 -4 \cdot 4 \cdot 4

\Delta = k^2 -64

Now, remember that:

\text{If } \Delta > 0 : \text{2 Real solutions}

\text{If } \Delta = 0 : \text{1 Real solution}

\text{If } \Delta < 0 : \text{No Real solution}

Therefore, I will just consider the first two cases.

k^2 - 64 > 0

and

k^2 -64 = 0

\boxed{\text{For } k^2 - 64 > 0}

k^2 > 64 \Longleftrightarrow k>\pm\sqrt{64}   \Longleftrightarrow k\in (-\infty, -8)\cup(8, \infty)

\boxed{\text{For } k^2 - 64 = 0}

k^2 = 64 \Longleftrightarrow k=\pm\sqrt{64} \implies k_1 = 8, k_2 = -8

7 0
3 years ago
Which method is the best method for solving the equation 8x² – 13x + 3 = 0?
mart [117]
Quadratic formula is the bestt
by applying it
8x^2-13x+3
 x^2-13x/8+3/8=0
 x^2-13x/8=3/8
 x^2-13x/8+169/256
=73/256
 (x-13/16)^2
=73/25
so correct option is D 
hope it helps
3 0
4 years ago
Read 2 more answers
Determine the mean of the data. Round to the nearest tenth. 6, 9, 15, 22, 30, 36
pshichka [43]
To find the mean you add all the numbers and divide it by the amount of numbers there is so add
6+9+15+22+30+36=118 
there is 6 number so divide 118 by 6
118/6=<span>19.6666666667 rounded to the nearest tenth it would be 20
So your mean would be 20 
let me know if you have any questions</span>
3 0
3 years ago
Please help with these 4 questions
horsena [70]

We use the BODMAS method to solve the given questions.

Solve the Bracket then Divide Multiply Add and Subtract

1. 32÷4×(16×1/2) - 2

= 32÷4 × ( 8 ) - 2

= 8 × 8 - 2 = 64 - 2 = 62

2. 20 ÷ (5×2/5) + 3

= 20 ÷ (2) + 3 = 20 ÷ 2 + 3

= 10 + 3 = 13

3. 1/2 ×(6×4) ÷ 3 + 2

= 1/2 × 24 ÷ 3 + 2

= 1/2 × 8 + 2

= 4 + 2 = 6

4. 2 (6÷2+8) - 4

= 2 (3+8) - 4

= 2 × 11 - 4

= 22 - 4

= 18

7 0
2 years ago
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