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Marizza181 [45]
2 years ago
13

Please help asap! really important!!

Mathematics
1 answer:
Alexxandr [17]2 years ago
6 0

Answer:

4th graph

6th graph

3rd graph

Step-by-step explanation:

Linear = y = x + 3

it is 4th graph

when you substitute x = 0 y is 3

and when y = 0 x is -3

Quadratic = y = 3x^2

It is 6th graph

for both positive and negative values of x, y is rapidly increasing

Exponential = y = 3^x

it is 3rd graph

for x = 0 y value is 1 because 3^0 = 1

for positive values of x, y is exponentially rising

for negative values of x it is nearly almost touches zero

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Step by step explanation:

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2 years ago
Determine the angles made by the vector v = (67)i + (-15)j with the positive x- and y-axes. write the unit vector n in the direc
vivado [14]
Consider the picture attached.

From right triangle trigonometry: 

tan(α)=(opposite side)/(adjacent side)=15/67=0.2239

using a scientific calculator we find that arctan(0.2239)=12.62°

thus α=12.62°, is the angle that the vector makes with the positive x-axis.

The angle made with the + y-axis is 12.62°+90°=102.62°.



The length of the vector v can be determined using the Pythagorean theorem:

|v|= \sqrt{ 67^{2} + 15^{2} }= \sqrt{4489+225}= \sqrt{4714}=68.8


Thus, to make v a unit vector, without changing its direction, we need to divide v by |v|=68.8. 

This means that the x and y components will also be divided by 68.8, by proportionality.

So, the unit vector in the direction of v is:

<span>(67/68.8)i + (-15/68.8)j=0.97 i + (- 0.22)j
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Answer: 12.62°;  102.62°;  0.97 i + (- 0.22)j

6 0
3 years ago
The areas of two similar triangles are 75m2 and 300m2. The length of one of the sides of the second triangles is 9m. What is the
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Step-by-step explanation:

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Then you can find the length of the corresponding side:

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4 0
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Graph y=8.5xy=8.5xy, equals, 8, point, 5, x.
Morgarella [4.7K]

Answer:

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Step-by-step explanation:

<u>Given equation</u>

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B. The unit rate of change of y with respect to x is 8.5

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C. The slope of the line is 2/17

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D. A change of 17 units in x results in a change of 2 units in y.

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Step-by-step explanation:

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