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2 years ago

An equation of a line through (-1, 1) which is parallel to the line y = 5x + 1 has slope:

Mathematics

1 answer:

Genrish500 [490]2 years ago

7 0

Answer:

The slope is 5 and the y-intercept is at (0, 6)

Step-by-step explanation:

Parallel lines have the same slope, so the slope of the equation is 5. The equation is y = 5x + 6, so the y-intercept is 6.

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Find the area of the following triangle. Show each of the math steps that you use to find the area. Then explain how to go about

Diano4ka-milaya [45]

Semi perimeter:-

$\\ \rm\rightarrowtail s=\dfrac{a+b+c}{2}$

$\\ \rm\rightarrowtail s=\dfrac{1.8+2.4+3}{2}$

$\\ \rm\rightarrowtail s=\dfrac{7.2}{2}=3.6cm$

Apply heron s formula

Area:-

$\\ \rm\rightarrowtail \sqrt{s(s-a)(s-b)(s-c)}$

$\\ \rm\rightarrowtail \sqrt{3.6(3.6-1.8)(3.6-3)(3.6-2.4)}$

$\\ \rm\rightarrowtail \sqrt{3.6(1.8)(0.6)(1.2)}$

$\\ \rm\rightarrowtail \sqrt{4.6656}$

$\\ \rm\rightarrowtail 2.16cm^2$

5 0

1 year ago

Read 2 more answers

Suppose you solved a second-order equation by rewriting it as a system and found two scalar solutions: y = e^5x and z = e^2x. Th

xenn [34]

Answer:

The solutions are linearly independent because the Wronskian is not equal to 0 for all x.

The value of the Wronskian is $\bold{W=-3e^{7x}}$

Step-by-step explanation:

We can calculate the Wronskian using the fundamental solutions that we are provided and their corresponding the derivatives, since the Wroskian is defined as the following determinant.

$W = \left|\begin{array}{cc}y&z\\y'&z'\end{array}\right|$

Thus replacing the functions of the exercise we get:

$W = \left|\begin{array}{cc}e^{5x}&e^{2x}\\5e^{5x}&2e^{2x}\end{array}\right|$

Working with the determinant we get

$W = 2e^{7x}-5e^{7x}\\W=-3e^{7x}$

Thus we have found that the Wronskian is not 0, so the solutions are linearly independent.

3 0

2 years ago

Write the slop-intercept form of the equation of each line. Please show your work.

solmaris [256]

Slope intercept form is : y = mx + b
as shown the line passes through (0,-3) so the y intercept is -3
The line now is y= mx - 3
the line passes through (4,-2) so substitute x=4, y = -2 to y=mx - 3, we have:
-2 = 4m -3 so m= 1/4

Ans: y = 1/4x -3
Plz vote me the brainliest ans (˘ ³˘)♥

8 0

2 years ago

HELPPPP PLEASE I will give brainliest and I put it up for 100 points

Mamont248 [21]

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