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3 years ago

PLEASE HELP!!!: Parallel lines 1 and m are intersected

Mathematics

1 answer:

bonufazy [111]3 years ago

6 0

The answer is B because if you add the to angles together you create a straight line.

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50 POINTS! QUICKLY Are the pairs of variables x and y the solutions to the equation x^2–2y=7?

Fittoniya [83]

Hi there!

$\large\boxed{(5,8) \text{ and } (1.2, -2.78)}}$

We are given the equation:

x² - 2y = 7

To verify if each ordered pair is apart of the function, we can plug in their respective x and y values:

1. (5)² - 2(8) = 7

25 - 16 = 9 ≠ 7. This is NOT correct.

2. (-1)² - 2(-3) = 7

1 + 6 = 7. This is correct.

3. (-4)² - 2(-11.5) = 7

16 + 23 = 39 ≠ 7. This is NOT correct.

4. (1.2)² - 2(-2.78) = 7

1.44 +5.56 = 7. This is correct.

Thus, only 1 and 4 are the correct answers.

5 0

2 years ago

Read 2 more answers

Find \tan\left(\frac{17\pi}{12}\right)tan( 12 17π )tangent, left parenthesis, start fraction, 17, pi, divided by, 12, end frac

uranmaximum [27]

One way to do this is to notice

$\dfrac{17\pi}{12}=\dfrac\pi6+\dfrac{5\pi}4$

Then

$\tan\dfrac{17\pi}{12}=\tan\left(\dfrac\pi6+\dfrac{5\pi}4\right)=\dfrac{\tan\frac\pi6+\tan\frac{5\pi}4}{1-\tan\frac\pi6\tan\frac{5\pi}4}$

We have

$\tan\dfrac\pi6=\dfrac{\sin\frac\pi6}{\cos\frac\pi6}=\dfrac{\frac12}{\frac{\sqrt3}2}=\dfrac1{\sqrt3}$

and since $\tan x$ has a period of $\pi$ ,

$\tan\dfrac{5\pi}4=\tan\left(\pi+\dfrac\pi4\right)=\tan\dfrac\pi4=1$

and so

$\tan\dfrac{17\pi}{12}=\dfrac{\frac1{\sqrt3}+1}{1-\frac1{\sqrt3}}=\dfrac{1+\sqrt3}{\sqrt3-1}=2+\sqrt3$

7 0

3 years ago

Four glasses of milk and 2 snack bars have a total of 72 carbohydrates (carbs), and 2 glasses of milk and 3 snack bars have a t

Travka [436]

One glass of milk has 11 carbs and one snack bar has 14 carbs.

Step-by-step explanation:

Let,

Glass of milk = x

Snack bar = y

According to given statement;

4x+2y=72 Eqn 1

2x+3y=64 Eqn 2

Multiplying Eqn 2 by 2

$2(2x+3y=64)\\4x+6y=128\ \ \ Eqn\ 3$

Subtracting Eqn 1 from Eqn 3

$(4x+6y)-(4x+2y)=128-72\\4x+6y-4x-2y=56\\4y=56$

Dividing both sides by 4

$\frac{4y}{4}=\frac{56}{4}\\y=14$

Putting y=14 in Eqn 1

$4x+2(14)=72\\4x+28=72\\4x=72-28\\4x=44$

Dividing both sides by 4

$\frac{4x}{4}=\frac{44}{4}\\x=11$

One glass of milk has 11 carbs and one snack bar has 14 carbs.

Keywords: linear equations, subtraction

Learn more about linear equations at:

#LearnwithBrainly

6 0

3 years ago

Which expression is equivalent to this expression?<br> X (2x + 3)

gayaneshka [121]

Answer:

Step-by-step explanation:

distribute x by 2 and 3 so it would be 2x+3x

6 0

2 years ago

Help y’all what shape is this

ddd [48]

It’s a Trapezium (also called Trapezoid)

8 0

3 years ago

Read 2 more answers