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3 years ago

Can someone please help me with this? I'd greatly appreciate it! Serious answers only please!

Mathematics

1 answer:

vampirchik [111]3 years ago

6 0

First find the slope:
The slopes of perpendicular lines must multiply to -1.
-9m = -1 ----> m = 1/9

Next, use point-slope form:
y - y1 = m(x-x1) , where given point (0,5) is (x1,y1)
y - 5 = (1/9)(x - 0)

Finally, solve for y to put it in slope-intercept form:
y = (1/9)x + 5

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Given the following table, determine the missing value.

sergeinik [125]

We know that
Based on the table
Percent%=[1-Decay factor]*100%
so

for decay factor=0.98
Percent%=[1-0.98]*100%----> 2%

for decay factor=0.50
Percent%=[1-0.50]*100%---->50 %

for decay factor=0.64
Percent%=[1-0.64]*100%----> 36%

for decay factor=0.23
Percent%=[1-0.23]*100%----> 77%

therefore

the answer is
36%

6 0

3 years ago

The coordinates of the vertices of triangle ABC are A(1,6), B(2,9), and C(7,10). Identify A'''B'''C''' after the following trans

kipiarov [429]

Answer:

A'''(-1,3), B'''(2,2) and C'''(3,-3)

Step-by-step explanation:

Hello There!

So the first thing we need to do is reflect the coordinates given over the y = x line which would be a straight line across the origin with a rate of change of 1

The rule for a reflection over the y = x line is (x,y) ----> (y,x)

so pretty much we're just flipping the y and x values

(1,6) ---> (6,1)

(2,9) ---> (9,2)

(7,10) ---> (10,7)

so the new coordinates of A'B'C' are A'(6,1) , B'(9,2), and C'(10,7)

Now we want to reflect the points over the x axis

The rule for reflection over the x axis is (x,y) ----> (x,-y)

so the x value stays the same and the y values sign just get flipped so if the y value was originally negative then it will change to positive vise versa

(6,1) ---> (6,-1)

(9,2) ---> (9,-2)

(10,7) ---> (10,-7)

So the coordinates of A''B''C'' are A''(6,-1) , B''(9,-2), and C''(10,-7)

Our final step is to translate 7 units to the left 4 units up

so the rule would be (x,y) ----> (x - 7, y + 4)

6-7=-1 | -1+4=3

(6,-1) ---> (-1,3)

9-7=2 | -2+4=2

(9,-2) ---> (2,2)

10-7=3 | -7+4=-3

(10,-7) ---> (3,-3)

so the after the three transformations the coordinates would be

A'''(-1,3), B'''(2,2) and C'''(3,-3)

5 0

3 years ago

The pressure of a gas p(v) varies inversely with the volume of the gas v. The pressure of a gas measures 25 kg/cm^2 when its vol

Mashcka [7]

$\bf \qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}}\qquad \qquad y=\cfrac{k}{x}\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}$

$\bf \stackrel{\textit{\underline{p(v)} varies inversely with \underline{v}}}{p(v)=\cfrac{k}{v}}\qquad \textit{we also know that } \begin{cases} p(v)=25\\ v=200 \end{cases} \\\\\\ 25=\cfrac{k}{200}\implies 5000=k\qquad therefore\qquad \boxed{p(v)=\cfrac{5000}{v}}$

5 0

3 years ago

Solve and interpret the answer.

tekilochka [14]

Yo sup??

So the unit of f(x) is miles and the unit of g(x) is hour.

Therefore we can say that the unit of (f/g) is miles/hour which is also called speed.

(f/g)(5)=f(5)/g(5)

=2*5+26/5-1

=9 miles/hour

Therefore the correct answer is option A

Hope this helps.

7 0

3 years ago

Solve the equation 7^{2x}+7^{x+1}+4=0. Correct to 4 decimal places.

Aleksandr-060686 [28]

Answer:

Step-by-step explanation:

Here is the exact form and decimal form!

3 0

3 years ago