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r-ruslan [8.4K]
3 years ago
12

Write an equation off the line that passes through the point -4 -3 and is parallel to 4 y- X=- 16

Mathematics
1 answer:
ycow [4]3 years ago
4 0
Parallel lines on a graph need to have the same slope. So if you put 4y-x=-16 is slope-int form, you get y=1/4x-4. Now, you have to make another equation like this. So since you know that the slope has to be 1/4, the start of the equation for a line that passes (-4,-3) is y=1/4x. Now, When you plug in -4 is in the x, you get 1/4(-4)=-3. However, -1=-3 is not true. So, what do you add or subtract to -1 to get -3? You get -2, which is the y-intercept in the slope-int form, mx+b. So for your final equation, you get y=1/4x-2
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If secθ = 13\5 and 270° < θ < 360°, then tanθ = _____. -12\5 -5\12 5\12 12\5
r-ruslan [8.4K]

Answer:

tanΘ = - \frac{12}{5}

Step-by-step explanation:

Using the trigonometric identity

tan²Θ + 1 = sec²Θ, thus

tan²Θ + 1 = (\frac{13}{5} )² = \frac{169}{25} ( subtract 1 from both sides )

tan²Θ = \frac{144}{25} ( take the square root of both sides )

tanΘ = ± \sqrt{\frac{144}{25} }

Since 270 < Θ < 360 , that is the fourth quadrant where tan Θ < 0, thus

tanΘ = - \frac{12}{5}

4 0
3 years ago
Y = 10x + 6 sollve this by doing what
Vladimir79 [104]

Answer:

x = -3/5

Step-by-step explanation:

y = 10x + 6

0 (- 6) = 10x + 6 (- 6)

-6/10 = 10x/10

-6/10 = x

-3/5 = x

6 0
2 years ago
Parker reviews his homework before he turns it in. When he sees the equation 1.02 divided by 0.6= 0.17, he knows it is wrong. He
HACTEHA [7]

Answer:

The result of the division of a number by a fraction is larger than the fraction.

Step-by-step explanation:

Here,we note that value Parker divided by 0.6. =1.02

Written down result of the division = 1.02/0.6 = 0.17

However, since the numerator is 1.02, then the result of dividing it by a fraction should yield a higher number instead of 0.17

Therefore we check as follows

1.02/0.6 = 1.7

The error is apparently due to dividing 1.02 by 6 rather than 0.6

3 0
3 years ago
In the diagram, AB=18. find AC and BC
LuckyWell [14K]

Answer:

b

Step-by-step explanation:

In a 30-60-90 right triangle, the hypotenuse is twice the length of the short leg.

The hypotenuse is AB and is 18.

The short leg is BC and is 9.

The only choice with BC = 9 is b.

Answer: b

3 0
2 years ago
At a carnival game, the chance of winning a prize is 0.45. Kylee plays the game 3 times. Using the table, what is the probabilit
aliina [53]

Answer:

I think the answer is C 0.83 based on the math I did

Step-by-step explanation:

4 0
3 years ago
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