Which generalization about the y-intercept for any equation is correct?

Orlov [11]

The function represents exponential growth (since the exponent is positive).

The percentage increase is, if I'm not mistaken, 181.3% (since 710 is just a constant, we don't need to worry about that - it won't affect the growth rate of the function)

4 0

3 years ago

34

Vadim26 [7]

Answer:

They are similar by the definition of similarity in terms of a dilation

Step-by-step explanation:

The given vertices of triangle ΔABC are;

A(1, 5), B(3, 9), and C(5, 3)

The vertices of triangle ΔDEF are;

D(-3, 3), E(-2, 5), and F(-1, 2)

Therefore, we get;

The length of segment, $\overline{AB}$ = √((9 - 5)² + (3 - 1)²) = 2·√5

The length of segment, $\overline{BC}$ = √((9 - 3)² + (3 - 5)²) = 2·√10

The length of segment, $\overline{AC}$ = √((5 - 3)² + (1 - 5)²) = 2·√5

The length of segment, $\overline{DE}$ = √((5 - 3)² + (-2 - (-3))²) = √5

The length of segment, $\overline{EF}$ = √((2 - 5)² + (-1 - (-2))²) = √10

The length of segment, $\overline{DF}$ = √((2 - 3)² + (-1 - (-3))²) = √5

∴ $\overline{AB}$ / $\overline{DE}$ = 2·√5/(√5) = 2

$\overline{BC}$ / $\overline{EF}$ = 2·√10/(√10) = 2

$\overline{AC}$ / $\overline{DF}$ = 2·√5/(√5) = 2

The ratio of their corresponding sides are equal and therefore;

ΔABC and ΔDEF are similar by the definition of similarity in terms of dilation.

4 0

3 years ago

If x is the least common multiple of the set {6, 8, 12} and y is the greatest common factor

Anarel [89]

Answer:

12

Step-by-step explanation:

The least common multiple of {6,8,12} is 24. This can be intuitively figured by noting that any multiple of 12 is a multiple of 6 and that 12 is 1.5x larger than 8. That means we only have so multiple 12 by 2 and 8 by 3 for them to be equal. The GCF of {20,42,72} is 2 as the prime factorization of 20 is 2x2x5 and 42 is 2x3x7. That means even without having to check 72 (which is clearly even so 2 is a factor), we know that 2 is the greatest common factor that they could share. So X/Y = 24/2 = 12

8 0

2 years ago

kaya does homework for 2 2/3 hours. she spends 1/4 of this time doing science homework. how much times does she spend doing her

attashe74 [19]

20 minutes long she does homework for

3 0

2 years ago

A. Draw the graph of the function y = |x - 2| - 1. B. Label the vertex and all intercepts. Upload a copy of your handwritten gra

hjlf

Step-by-step explanation:

y = |x - 2| - 1

Given equation is in the form of y=|x-h|+k

Where (h,k) is the vertex

h = 2 and k =-1

So (2, -1) is the vertex for the given function

To find x intercepts we plug in 0 for y

we will get two values for x because of absolute function

0 = |x-2| -1

add 1 on both sides

|x-2| =1

x-2 =1 and x-2 =-1

x= 3 and x= 1

So x intercepts are (1,0) and (3,0)

the graph is attached below

6 0

3 years ago