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yanalaym [24]
3 years ago
5

Question/screenshot Below

Mathematics
1 answer:
Ierofanga [76]3 years ago
7 0
The answer is 10^8 for the question
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Need some help! Graph the equations y=3x-5 and x+3y=6 on the same xy-plane. What is significant about these two lines? (Explain
adell [148]
To solve this, we must first put both lines in Slope Intercept Form (y=mx+b where m is the slope and b is the y-intercept).

y=3x-5 is already in SIF, so we only need to work on the other one.

 x+3y=6
-x       -x
 3y=-x+6
 /3      /3
 y=-1/3x+2

Now we have both equations in slope intercept form, so we can start graphing from the y-intercepts and just follow the slopes.

When we do this, we will see that the lines meet at an exactly 90° angle. When a pair of lines does this, it means they are perpendicular.

Below I have attached an image that has both lines graphed so that you may visualize it. The green dots show the slopes, while the highlighted areas show the y-intercepts. Note that the lines intersect at a 90° angle, making them perpendicular.

6 0
3 years ago
What is the result when the number 16 is increased by 5.9%? Round your answer to the nearest tenth
Mashutka [201]
16*1.059)=16.944
To the nearest tenth 16.9
6 0
3 years ago
Read 2 more answers
The equation of a circle is ( x - 3) 2 + ( y + 2) 2 = 25. The point (8, -2) is on the circle.
Shtirlitz [24]

Answer:

x =8 is the equation of the tangent.

Step-by-step explanation:

Here the equation of the given circle is: (x-3)^{2}  + (y+2)^{2}  = 25

Now, comparing it with the general equation of circle: (x-h)^{2}  + (y -k)^{2}  = r^2

we get the central coordinates (h,k)  = (3,-2)

So, the slope of the line joining center and (8, -2) = \frac{-2 -(-2)}{8-3} = \frac{0}{5} = 0

Since the slope of line = 0, line is parallel to x axis.

Now, as tangent and the line is perpendicular to each other

⇒Slope of the tangent = -1/ slope of the line = \frac{-1}{0}

Now, by point slope formula: the equation of the tangent is

(y-y0)  = m (x-x0)

or, (y +2) = \frac{-1}{0} (x -8)

or x =8 is the equation of the tangent.

8 0
3 years ago
Which function in vertex form is equivalent to f(x) = x2 + 8 – 16x?
damaskus [11]

Answer:

f(x)= (x+8)^2 + 200

Step-by-step explanation:

-b/2a gives you the x coordinate of the vertex and then plug it in for x to get the y coordinate. Put it in the formula (f()x= (x-h)^2 +k).

H is the x coordinate and K is the y coordinate

6 0
3 years ago
Scientists have found that the life span of a mammal living in captivity is related to the mammals mass. The life span in years
Tatiana [17]
To know the life span of the wolf and the lion, we simply substitute their mass to the formula for L.

Mass of wolf:
L=12 m^{ \frac{1}{5} }= 12 (32)^{ \frac{1}{5} }=24

Mass of lion:
L=12 m^{ \frac{1}{5} }= 12 (243)^{ \frac{1}{5} }=36

Therefore, the wolf has a life span of 24 and the lion has a life span of 36. With this information, we can determine how much longer the life span of the lion is:
36-24=12

ANSWER: The life span of the lion is 12 longer than the life span of the wolf.
7 0
3 years ago
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