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3 years ago

7. Write the equation of the line that passes through the

Mathematics

1 answer:

crimeas [40]3 years ago

8 0

Answer: y=7x

Step-by-step explanation:

To find the line that is parallel to the given line, we know that the slope will stay the same. Parallel lines NEVER touch or cross. Therefore, the slope MUST stay the same. All we have to do is plug in the given point to find the y-intercept.

y=7x+b

0=7(0)+b [multiply]

b=0

Now, we know the equation is y=7x+0 or y=7x.

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Solve for x . Round to the nearest tenth, if necessary.

Jet001 [13]

Answer:

x = 24.1

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp /adj

tan 15 = x/90

90 tan 15 =x

x=24.11542

To the nearest tenth

x = 24.1

7 0

3 years ago

Read 2 more answers

Apply Crammer's Rule to find the solution to the following quations .2x + 3y = 1, 3x + y = 5

Bond [772]

Answer:

The solution to the equation system given is:

<u>x = 2</u>
<u>y = -1</u>

Step-by-step explanation:

First, we must know the equations given:

2x + 3y = 1
3x + y = 5

Following Crammer's Rule, we have the matrix form:

$\left[\begin{array}{ccc}2&3\\3&1\end{array}\right] =\left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}1\\5\end{array}\right]$

Now we solve using the determinants:

$x=\frac{\left[\begin{array}{ccc}1&3\\5&1\end{array}\right]}{\left[\begin{array}{ccc}2&3\\3&1\end{array}\right] } =\frac{(1*1)-(5*3)}{(2*1)-(3*3)} = \frac{1-15}{2-9} =\frac{-14}{-7} = 2$

$y=\frac{\left[\begin{array}{ccc}2&1\\3&5\end{array}\right]}{\left[\begin{array}{ccc}2&3\\3&1\end{array}\right] } =\frac{(2*5)-(3*1)}{(2*1)-(3*3)}=\frac{10-3}{2-9} =\frac{7}{-7}=-1$

Now, we can find the answer which is x= 2 and y= -1, we can replace these values in the equation to confirm the results are right, with the first equation:

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

And, with the second equation:

3x + y = 5
3(2) + (-1) = 5
6 - 1 = 5
5 = 5

4 0

3 years ago

which option shows 18÷15 as a fraction or a mixed number? A. 2315 B. 1518 C. 11815 D. 1315

Marysya12 [62]

Answer:

It's B.) 1518

using fraction calculator**

As a positive improper fraction (numerator > denominator):

18/15 = 6/5

As a mixed number

(a whole number and a proper fraction, of the same sign):

18/15 = 1 1/5

As a decimal number:

18/15 = 1.2

As a percentage:

18/15 = 120%

Step-by-step explanation:

4 0

3 years ago

What does ( 1,345,819,091 times 2,987,283,058 )

Verdich [7]

Result: 4020342569677260278

7 0

3 years ago

Read 2 more answers

Based on the figure below, the ratio of x/y is equivalent to which trigonometric function?

Ede4ka [16]

Answer: OPTION D.

Step-by-step explanation:

For this exercise it is important to remember the following Trigonometric Functions:

$sin\alpha =\frac{opposite}{hypotenuse}\\\\cos\alpha =\frac{adjacent}{hypotenuse}\\\\tan\alpha =\frac{opposite}{adjacent}\\\\sec\alpha =\frac{hypotenuse}{adjacent}\\\\csc\alpha =\frac{hypotenuse}{opposite}\\\\cot\alpha =\frac{adjacent}{opposite}$

Knowing this, we can identify that:

$cosA=\frac{AC}{AB}=\frac{x}{AB}\\\\sinB=\frac{AC}{AB}=\frac{x}{AB}\\\\secA=\frac{AB}{AC}=\frac{AB}{x}\\\\tanB=\frac{AC}{BC}=\frac{x}{y}$

Therefore, the ratio $\frac{x}{y}$ is equivalent to this Trignometric function:

$tanB=\frac{x}{y}$

8 0

4 years ago