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Lemur [1.5K]
3 years ago
8

Someone can help me with this please​

Mathematics
1 answer:
Marina CMI [18]3 years ago
6 0

Answer:

x = -1 and x = 7

Step-by-step explanation:

2x^2 + 2x - 14x - 14

2x^2 - 12x -14

Divide through by 2 to simplify the expression

x^2 - 6x - 7

x^2 - 6x -7

Now, let's think of two numbers that when added up gives -6 and when multiplied gives -7

Yes! It's -7 and +1

-7 + 1 = -6 , and -7* 1 = -7

Now, lets substitute these numbers in the expression

x^2 -7x + x - 7

factorize

x(x - 7) + 1(x - 7)

(x + 1) (x - 7)

Now equate to zero

(x + 1) (x - 7) = 0

x + 1 = 0

subtract 1 from both sides

x +1 - 1 = 0 -1

x = -1

Also,

x - 7 = 0

Add 7 to both sides

x -7 + 7 = 0 + 7

x = 7

Hence, x = -1 and x =7

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(Law of Sines)
Mariana [72]

Answer:

Option (D) is correct.

Step-by-step explanation:

In a triangle BCD , with b, c, d as the sides of triangle.

Sine rule states when we we divide side b by the sine of angle B then it is equal to side c divided by the sine of angle C and also equal to side d divided by the sine of angle D.

Using Sine rule,

\frac{b}{\sin B}=\frac{c}{\sin C}=\frac{d}{\sin D}

Consider the first and third ratio,

\frac{b}{\sin B}=\frac{d}{\sin D}

Substitute the values of d = 3 , b= 5 and ∠D=25°

\Rightarrow \frac{5}{\sin B}=\frac{3}{\sin 25^{\circ}}

\Rightarrow \sin B=\frac{\sin 25^{\circ} \times 5}{3}}  

 \Rightarrow \sin B=45,135

Thus, Measure of angle B is 45 and 135 as sinB is positive is first and 2nd quadrant.

Thus, option (D) is correct.


7 0
3 years ago
Read 2 more answers
2. Find the<br> slope of the<br> line between<br> (8, 6) and<br> (20, -14)
Natalka [10]

Answer:

slopee = 5/3

Step-by-step explanation:

The  slope of a line is defined by the rise (the change in y-value) divided by the run (the change in x-value).  Here, the change in y-value is 6 - (-14) = 6 + 14 = 20.  The change in x-value is 20 - 8 = 12.  Therefore, the slope is 20/12 or (simplified) 5/3.

3 0
3 years ago
Please help thanks! Brainliest <br> Sorry for spamming.
Bad White [126]

Answer: −10

Step-by-step explanation: 9^2−21/−6

81−21/−6

60/−6

−10

6 0
3 years ago
-7,5 + 4,2 =?<br><br><br> -0,9 * 2,7 =?
Gekata [30.6K]

Answer:

-7.5+4.2=-3.3

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7 0
2 years ago
Which of the following are polynomial functions?
Vinil7 [7]

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Option E is the answer.

Rest all are wrong answers. they do not have positive integers.                      

4 0
3 years ago
Read 2 more answers
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