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3 years ago

I need the answer for this exact question

Mathematics

1 answer:

denis23 [38]3 years ago

3 0

Answer:

$y=\frac{7}{2}x-20$

Step-by-step explanation:

Let the equation of the line be $y-y_1=m(x-x_1)$ where, 'm' is its slope and $(x_1,y_1)$ is a point on it.

Given:

The equation of a known line is:

$y=-\frac{2}{7}x+9$

A point on the unknown line is:

$(x_1,y_1)=(4,-6)$

Both the lines are perpendicular to each other.

Now, the slope of the known line is given by the coefficient of 'x'. Therefore, the slope of the known line is $m_1=-\frac{2}{7}$

When two lines are perpendicular, the product of their slopes is equal to -1.

Therefore,

$m\cdot m_1=-1\\m=-\frac{1}{m_1}\\m=-\frac{1}{\frac{-2}{7} }=\frac{7}{2}$

Therefore, the equation of the unknown line is determined by plugging in all the given values. This gives,

$y-(-6))=\frac{7}{2}(x-4)\\y+6=\frac{7}{2}x-14\\y=\frac{7}{2}x-14-6\\\\y=\frac{7}{2}x-20$

The equation of a line perpendicular to the given line and passing through (4, -6) is $y=\frac{7}{2}x-20$ .

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Identify the following sequence geometric, arithmetic, or neither.1, 2, 4, 8, 16

OLEGan [10]

Answer:

$Geometric$

Explanation:

Here, we want to get the sequence type

In an arithmetic sequence, the difference between terms is the same

For a geometric sequence, the division of a succeeding term by a preceding term would yield the term called the common ratio

Now, let us consider the differences:

$2-1\text{ is not the same as 4-2 }$

This means that the sequence is not arithmetic

Now, let us test if geometric

Mathematically, we have that as:

$\frac{4}{2}=\frac{2}{1}=\frac{8}{4}=\frac{16}{8}\text{ = 2}$

This means that the given sequence is geometric

5 0

2 years ago

Select all that apply.

zhenek [66]

Answer:

seventy eight is 55% of 141.818182

which is 78=(0.55)w

8 0

3 years ago

In each equation below, the letter x stands for an unkn

Sergeeva-Olga [200]

Answer:

$x=35$

Step-by-step explanation:

Given the following question:

$\frac{x}{5} =7$

When x is the numerator of the fraction you multiply each side by the denominator in order to isolate the variable.

$\frac{x}{5} =7$
$\frac{5x}{5} =x$
$7\times5=35$
$x=35$

Hope this helps.

8 0

2 years ago

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98 POINTS AND BRAINLIEST FOR BEST ANSWER!!!!

Phoenix [80]

A) We are told that at 2 hours, the velocity is 18 km/h and at 4 hours, the velocity is 4 km/h. Since we are relating two variables - let's give them names.

Let x = time and y = velocity. Since the velocity depends on the time (that is, the time influences velocity), this is a linear function. Any linear function can be written in slope intercept form as y = mx + b. The problem wants the situation in standard from of Ax + By = C, which can be found from slope intercept form.

So now we can make our line. Consider the ordered pairs of (2,18) and (4, 4) with them in (x, y) form. Finding the slope, m, between these points is as such:

m = y₂-y₁ / x₂-x₁

m = 4 - 18 / 4 - 2

m = -14 / 2 = -7.

Our slope is -7.

We take m = -7, x = 4, and y = 4 (it goes 4 km/h in 4 hrs) and use those three things to find the y-intercept.

y = mx + b

4 = -7 * 4 + b

4 = -28 + b

32 = b

So our equation of the line is y = -7x + 32. To put the equation into standard form, we need to place all the variables on one side of the equals sign, all the numbers on the other.

y = -7x + 32

7x + y = 32

In standard form, the equation for this situation is 7x + y = 32

***

To find out the velocity at 8 hours, we evaluate our function at x = 8. Either equation (standard form or slope intercept) works; we use standard form.

7x + y = 32

7*8 + y = 32

56 + y = 32

y = -24

At a time of eight hours, the bicycle is moving at -24 km/h.

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4 years ago

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Anestetic [448]

Answer:

Step-by-step explanation:

........

4 0

3 years ago

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