A quadrilateral is shown on the graph below. If the dimensions of this
quadrilateral are scaled by a factor of 2, which equation models the
effect this scaling has on the area of the figure.

Answer:

Final Answer: Statements 1, 2 and 4 are correct.

Step-by-step explanation:

Finding value of y:

2y + 3 = 15 => 2y = 12 => y = 6;

Finding value of x:

6x + 5 = 77 => 6x = 72 => x = 12;

Statement Number 1:

y² > 2x ? => 6² > 2 * 12 ? => 36 > 24 ?

Yes, 36 is bigger than 24, therefore statement one is correct.

Statement 2:

x = 2y ? => 12 = 2 * 6? => 12 = 12?

Yes, 12 is equal to 12. Statement 2 is correct.

Statement 3:

x + 2 = y + 10 ? => 12 + 2 = 6 + 10? => 14 = 16?

No, 14 is not equal to 16. Statement 3 is incorrect.

Statement 4:

y + 4 > x - 4 ? => 6 + 4 > 12 - 4 ? => 10 > 8 ?

Yes, 10 is bigger than 8. Statement 4 is correct.

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Final Answer: Statements 1, 2 and 4 are correct.

Answer:

x= -4,-14

Step-by-step explanation:

Try first to solve the equation by factoring. Be sure that your equation is in standard form before you start your factoring attempt.

Answer:

Side GI= 2

Step-by-step explanation:

Photo attached, used SOH CAH TOA method.

Answer:

46

Step-by-step explanation:

1 gallon is 4 quarts so you would do 11x4=44 and .05x4=2

44+2=46

Answer:

∠ DBC = 87.5°

Step-by-step explanation:

The inscribed angle DBC is half the measure of its intercepted arc, then

∠ DBC = [tex]\frac{1}{2}[/tex] CD = 0.5 × 175° = 87.5°

The  difference between two positive numbers is 7 and the difference between these  cubes is 805. If 'A' represents their product and 'B' represents the sum of their squares,

So,

Let the number be n and m

A = n × m = nm

B = n² + m² = (n + m)²

Now

n³ - m³ = 805

(n - m) (n² + m² + nm) = 805

Since difference is 7

7 × n² + m² + nm = 805

n² + m² + nm = 805/7

n² + m² + nm = 115

(n² + n) + (m² + m) = 115

A + B = 115

Now

On squaring the first eq.

(n - m)² = (7)²

(n - m)² = 49

B - 2A = 49

Now

A + B - B + 2A = 115 - 49

A + 2A = 66

3A = 66

A = 66/3

A = 22

By using 2

B - 2(22) = 49

B - 44 = 49

B = 49 + 44

B = 93

A - B = 22 - 93 = -71

[tex]\bold{ A-B=-71  }[/tex] 

Answer:

p=18

Step-by-step explanation:

It is 18 because 5 times 18 will equal 90 and 90 +54 is 144

Answer:

it is b

Step-by-step explanation:

Answer:

La función es: f(x) = 20+0.5x

Step-by-step explanation:

La función que representa la condición sería:

f(x) = 20+0.5x

Donde:

Espero te haya servido!

Answer:

Step-by-step explanation:

m^2(m^2+9)+20

Answer:

96

Step-by-step explanation:

To get 5 digit numbers using the digits 0,1,2,3,4 exactly once = 4*4*3*2*1 = 96.

Step 1:

1st digit can be 1, 2,3,4 ( it can't be 0) so there are 4 choices.

Step 2:

2nd digit = 4 choices.

Step 3:

3rd digit = 3 choices

Step 4:

4th digit = 2 choices

Step 5:

5th digit = 1 choice .

So the number of different 5 digit number is 4*4*3*2*1 = 96

Answer:

x = 6.8

Step-by-step explanation:

2.4x - 9.1x + 12.5x = 39.44

5.8x = 39.44

x = 6.8

Answer:

Let's just find the value of the unknown degree next to 35 degrees.

180 - 35 = 145 degrees

Since 145 degrees is the unknown degree next to 35 degrees, it is vertical to the x it will be the same therefore your answer is 145 degrees.

Answer:

Se parecen porque son proporcionales.

Step-by-step explanation:

Si le das vuelta a la figura pequeña de manera que quede en forma horizontal,  la figura es la misma, solo cambia el tamaño.

Answer:

Step-by-step explanation:

[tex]x^2 - 7x+9 = 4\\\\\underline{x^2 - 2\cdot x\cdot\frac72+\big(\frac72\big)^2}-\big(\frac72\big)^2+9 = 4\\\\\big(x-\frac72\big)^2-\frac{49}4+9 = 4\\\\ \big(x-\frac72\big)^2=\frac{49}4-\frac{36}4+\frac{16} 4\\\\ \big(x-\frac72\big)^2=\frac{29}4\\\\ x-\frac72=\pm\sqrt{\frac{29}4}\\\\ x=\frac72\pm\frac{\sqrt{29}}2[/tex]

Answer:

angle 1 is 120

and I think angle 2 and 3 are 60

Answer:

14

Step-by-step explanation:

Answer:

625

Step-by-step explanation:

This is a reoccurring permutation

so it is 5^3

Answer:

The total outcomes that are possible for this arrangement of seven blocks are 5C4 * 4! * 3!

Step-by-step explanation:

Given

Out of five blocks i.e ABCDE, four blocks need to be drawn.

Hence the possible ways of drawing four blocks out of total set of 5 blocks is

5C4

Now, the total number of ways of arranging these selected four blocks is 4!

The total number of ways of arranging three blocks is 3!

Hence, the total outcomes that are possible for this arrangement of seven blocks are 5C4 * 4! * 3!

Answer:

C

Step-by-step explanation:

First find the equation of the circle

the general formula for a circle (x-h)² + (y-k)² = r² where (h=0, k=0) are the coordinates of the center and r is the radius that we do not know

the distance between the center (0, 0) and the point (3,5) is the radius

distance formula d² = (x2-x1)² +(y2-y1)²  where (x1=0,y1=0) and (x2=3, y2=5)

d² = (3-0)² + (5-0)² = 3² +5² = 9+ 25 = 34 =r²

(x-0)² + (y-0)² = 34 ; x²+y² =34 is the equation of the circle

Second check if any of the points are on the circle by substituting x and y with de given coordinates.

A. for (-2, 6) we have (-2)²+6² =34 so 4+36 =34 false

B. for (6, -√5) we have 6²+(-√5)² =34 so 36+5=34 false

C. for (1, √33) we have 1²+(√33)² =34 so 1+33 =34 true

D. for (-2√2, 4) we have (-2√2)²+4² =34 so 8+16=34 false

Answer:

53 mins

Step-by-step explanation:

Answer:

25 girls

Step-by-step explanation:

Answer: 19°

Step-by-step explanation: 90+71= 161

180-161= 19

(correct me if i’m wrong):)

Answer:

$33.10

Step-by-step explanation: