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2 years ago

Please help and thank you

Mathematics

1 answer:

zubka84 [21]2 years ago

8 0

Answer:

Step-by-step explanation:

The graph of x² is known as the parent function. From it, all quadratics can be transformed to make their graphs. It can undergo a series of transformations like translations up/down/left/right or stretch and compression vertically and horizontally. Usually the equation can tell you you what transformations it undergoes. Since g(x) is the same equation as x² except for 4/5 this is a vertical compression. Since it is the leading coefficient under multiplication and 4/5 < 1, this is a compression vertically. Answer B is correct.

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PLEASE HELP!!!!! WORTH 50 POINTS! PLEASE ANSWER ALL QUESTIONS (6,7,8,9)

iogann1982 [59]

Answer:

6. Additional information is required on the two triangles

7. The pair of triangles are similar by SAS similarity postulate

8. Yes, by triangle proportionality theorem

9. DE = 9

Step-by-step explanation:

When two or more triangles are similar, the ratio of the corresponding sides of both triangles is constant

6. From the given figure, more information is required on the two triangles

However, whereby the side with length 10 is parallel to the corresponding side on the other triangle, then the alternate angles formed by the transversal to the two parallel lines are equal and the two triangles are similar by Angle Angle, AA, similarity postulate

7. From the given triangles, the ratio of the corresponding sides relative to the given included angles are;

18/45 and 10/25

18/45 = 2/5

10/25 = 2/5

Therefore, given that two pair of corresponding sides have the same included angle and that the two included corresponding sides of the of the two triangles are proportional, then the two triangles are similar by the Side Angle Side SAS similarity postulate

8. By triangle proportionality theorem, we have;

If $\overline{MN}$ ║ $\overline{KL}$ , then we have;

3/6 = 4/8 = 2

∴ $\overline{MN}$ ║ $\overline{KL}$

9. By triangle proportionality theorem, where $\overline{BE}$ ║ $\overline{CD}$ , we have;

12/20 = DE/15

∴ DE = 15 × 12/20 = 9

DE = 9

7 0

2 years ago

Let P(x) be the statement"x= x2", If the domain consists of the integers, what are these truth values? (a) P(0) (b) P(1) (c) P(2

jeka57 [31]

Answer: i guess the problem is with P(x) => "x = $x^{2}$ ", then P(x) is true if that equality is true, and is false if the equality is false.

so lets see case for case.

a) x = 0, and $0^{2}$ = 0. So p(0) is true.

b) x = 1 and $1^{2}$ = 1, so P(1) is true.

c) x = 2, and $2^{2}$ = 4, and 2 ≠ 4, then P(2) is false.

d) x= -1 and $1^{2}$ = 1, and 1 ≠ -1, so P(-1) is false.

6 0

2 years ago

Verify experin mentally that the vertically<br>opposite angles are equally.

andriy [413]

Please restate the question

3 0

2 years ago

Solve the system of equations 5x+9y+9z=5 4x+9y+6z=10 2x+2y+5z=9

erma4kov [3.2K]

Answer:

{x,y,z} = {-116,28,37}

Step-by-step explanation:

// Solve equation [3] for the variable z

[3] 5z = -2x - 2y + 9

[3] z = -2x/5 - 2y/5 + 9/5

__________________________________________________________

// Plug this in for variable z in equation [1]

[1] 5x + 9y + 9•(-2x/5-2y/5+9/5) = 5

[1] 7x/5 + 27y/5 = -56/5

[1] 7x + 27y = -56

__________________________________________________________

// Plug this in for variable z in equation [2]

[2] 4x + 9y + 6•(-2x/5-2y/5+9/5) = 10

[2] 8x/5 + 33y/5 = -4/5

[2] 8x + 33y = -4

__________________________________________________________

// Solve equation [2] for the variable y

[2] 33y = -8x - 4

[2] y = -8x/33 - 4/33

__________________________________________________________

// Plug this in for variable y in equation [1]

[1] 7x + 27•(-8x/33-4/33) = -56

[1] 5x/11 = -580/11

[1] 5x = -580

__________________________________________________________

// Solve equation [1] for the variable x

[1] 5x = - 580

[1] x = - 116

__________________________________________________________

// By now we know this much :

x = -116

y = -8x/33-4/33

z = -2x/5-2y/5+9/5

__________________________________________________________

// Use the x value to solve for y

y = -(8/33)(-116)-4/33 = 28

__________________________________________________________

// Use the x and y values to solve for z

z = -(2/5)(-116)-(2/5)(28)+9/5 = 37

╦────────────────────────────╦

│Hope this helped _____________________│

│~Derelis ____________________________ │

╨___________________________________╨

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3 years ago

The ratio of boys to girls at Longwood High School is 6:7. There are 1,722 girls in the High School. Write and solve a proportio

DochEvi [55]

Answer:

1476 boys

Step-by-step explanation:

We are going to use ratio here:

6/7=x/1,722

so then we simplify

(1,722*6)/7 =

1476 boys

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2 years ago