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aleksandrvk [35]
3 years ago
7

What is the value of x so that the ordered pair (x, 1) is a solution to the equation 3x - y = 17 ? A. B.6 C.14 D.20

Mathematics
1 answer:
Alexxx [7]3 years ago
8 0
Its B.6 because when you plug in 1 for y the equation is 3x-1=17 and you have to cancel out y to get 3x=18 by itself because you have to add 1 to the 17 since you canceled it out of the equation then you are left with 3x=18 and you divide both sides by 3 and then 18 divided by 3 is 6 so x=6
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F(x) = x2. What is g(x)? 1,16
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Right triangle FHG is shown. The sine of angle F is 0.53. What is the cosine of Angle h ?
g100num [7]

<u>Given</u>:

Given that FGH is a right triangle. The sine of angle F is 0.53.

We need to determine the cosine of angle H.

<u>Cosine of angle H:</u>

Given that the sine of angle F is 0.53

This can be written as,

sin F=0.53

Applying the trigonometric ratio, we have;

\frac{HG}{FH}=0.53 ----- (1)

Now, we shall determine the value of cosine of angle H.

Let us apply the trigonometric ratio cos \ \theta=\frac{adj}{hyp}, we get;

cos \ H=\frac{HG}{FH} ----- (2)

Substituting the value from equation (1) in equation (2), we get;

cos \ H=0.53

Thus, the cosine of angle H is 0.53

6 0
3 years ago
How many solutions exist for the given equation?
sladkih [1.3K]

Answer:

Infinitely many

Step-by-step explanation:

12x + 1 = 3(4x + 1) - 2

12x + 1 = 12x + 3 - 2

12x + 1 = 12x + 1

Both sides are equal for all x, so infinite solutions

8 0
3 years ago
Read 2 more answers
Work out x when the area is root 4 2^2 and angle C is 45 and ab are (x+2)(2x-3)
aleksandrvk [35]

Answer:

  • x = 2.41

Step-by-step explanation:

<u>Area formula:</u>

  • A = 1/2bh

<u>The height is:</u>

  • h = (x + 2)sin 45° = √2(x + 2)/2

<u>Substitute the area value an set an equation:</u>

  • 4√2 = (2x - 3)√2(x + 2)/2
  • (2x - 3)(x + 2) = 8
  • 2x² + x - 6 = 8
  • 2x² + x - 14 = 0
  • D = 1 + 4*2*14 = 113
  • x = (-1 + √113)/4 = 2.41 (rounded)    

Note. the second root ignored as negative

7 0
2 years ago
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