tina solved a quadratic equation and found the solution to be -3/2 and 6 which of the following is equivalent to the quadratic equations that tina solved

Answer:

(-4,-2)

Step-by-step explanation:

B(3,4)

x=3 , y=4

(3-7,4-6)

(-4,-2)

Transformation involves changing the position of a shape.

The coordinates of B after the translation is (-4,-2)

The vertices are given as:

[tex]\mathbf{A =(1,1)}[/tex]

[tex]\mathbf{B =(3,4)}[/tex]

[tex]\mathbf{C =(-1,8)}[/tex]

The translation rule is given as:

[tex]\mathbf{(x-7,y-6)}[/tex]

So, the coordinates of B' is calculated using:

[tex]\mathbf{(x,y) \to (x-7,y-6)}[/tex]

This gives

[tex]\mathbf{(3,4) \to (3-7,4-6)}[/tex]

[tex]\mathbf{(3,4) \to (-4,-2)}[/tex]

Rewrite as:

[tex]\mathbf{B' = (-4,-2)}[/tex]

Hence, the coordinates of B after the translation is (-4,-2)

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Answer:

Commutative Property of Addition

Answer:

Commutative property

Step-by-step explanation:

The commutative property is when the order of the addends is changed, the sum stays the same.

Ex. 3+7 = 7+3

Both 3+7 and 7+3 = 10

Answer:2730

Step-by-step explanation:

The number of ways we can choose three different numbers in order for a unique code for this case is 2730

We can use combinations for this case,

Total number of distinguishable things is m.

Out of those m things, k things are to be chosen such that their order doesn't matter.

This can be done in total of [tex]^mC_k = \dfrac{m!}{k! \times (m-k)!}[/tex] ways.

If the order matters, then each of those choice of k distinct items would be permuted k! times.

So, total number of choices in that case would be:

[tex]^mP_k = k! \times ^mC_k = k! \times \dfrac{m!}{k! \times (m-k)!} = \dfrac{m!}{ (m-k)!}\\\\^mP_k = \dfrac{m!}{ (m-k)!}[/tex]

This is called permutation of k items chosen out of m items (all distinct).

Given that:

In a lock, the order of the way numbers are arranged matters.

Because of no repetition allowed, we can simulate this situation as:

The number of ways we can choose 3 numbers out of 15 numbers with order = The number of different ways we can choose three different numbers in order for a unique code.

And we have:

The number of ways we can choose 3 numbers out of 15 numbers with order = [tex]^{15}P_3 = \dfrac{15!}{(15-3)!} = \dfrac{15 \times 14 \times 13 \times 12!}{12!} = 2730[/tex]

Thus, the number of ways we can choose three different numbers in order for a unique code for this case is 2730

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Answer:

y intercept is 11 or (0,11)

Step-by-step explanation:

[tex]y = 2 {(x - 2)}^{2} + 3 \\ y = 2 {(0 - 2)}^{2} + 3 \\ y = 2(4) + 3 \\ y = 8 + 3 \\ y = 11[/tex]

Answer:

Solution given:

5(9x-8)=4(x+2)

45x-40=4x+8

45x-4x=40+8

41x=48

x=[tex] \frac{48}{41} [/tex]

Gabriella is not correct:

she has done in distribution

5(9x-8)=4(x+2)

45x-40=4x+8 not 45x-8=4x+2.

No, Gabriela is not solving correctly because her second step is wrong.

In a fraction the upper part is known as numerator and the lower part is known as denominator.

The problem is as under

(9x-8)/4=(x+2)/5

The above problem is solved as

5(9x-8)=4(x+2)

45x-40=4x+2

41x=42

x=42/41

Hence the value of x is 42/41 therefore the solution of Gabriella is wrong.

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Step-by-step explanation:

2x - 5 = y - 5

2x = y

x = y/2

y - 3 = x + 1

Substitute the value of x here,

y - 3 = [tex]\rm{\dfrac{y}{2} + 1}[/tex]

y - 3 = [tex]\rm{\dfrac{y + 2}{2}}[/tex]

2y - 6 = y + 2

y = 8

Now, x = 8/2

x = 4

So, go for D part, it is the correct answer.

Good Night/Day !

Answer:

x = 4, y = 8

Step-by-step explanation:

For the triangles to be congruent by the HL theorem

Then the hypotenuse and legs must be congruent , that is

x + 1 = y - 3 → (1)

2x - 5 = y - 5 → (2)

Subtract (1) from (2) term by term to eliminate y

2x - x + (- 5) - 1 = y - y + (- 5) - (- 3) , that is

x - 6 = - 2 ( add 6 to both sides )

x = 4

Substitute x = 4 into either of the 2 equations and solve for y

Substituting into (1)

4 + 1 = y - 3

5 = y - 3 ( add 3 to both sides )

8 = y

Answer:

Can you add a picture if there are any?

Step-by-step explanation:

Answer:

Quadrant I and Quadrant II

Step-by-step explanation:

Quadrant I has both positive x and y coordinates,Quadrant II has a negative x coordinate but the y coordinate is positive.

Answer:

1

Step-by-step explanation:

2x-5< 3

add 5 to both sides

2x<8

divide 2 for both sides

x<4

graphically, Graph 1 represents this equation where x is anything smaller than 4 but not including 4

Answer:

ok, so the answer is table A

Step-by-step explanation:

USA PREP TESTTTTTT

good luck :)

Answer:12/30

Step-by-step explanation:

Total apple =6

Yellow apples = 4

4/6

3/5

(4/6)*(3/5)= 12/30

Answer:

43cm square

Step-by-step explanation:

A= bh

A=8.4cm x 5.2cm

A=43.68cmsqr

Answer:A

Step-by-step explanation:

I used the process of elimination. I did, 125 x .65 to get 81.25. Then, I subtracted 81.25 to 125. To get 43.75.

The original price of the dress was $125.00.

A percentage is a number or ratio that can be expressed as a fraction of 100 in mathematics. If we need to calculate the percentage of a number, divide it by the whole and multiply by 100. As a result, the percentage denotes a part per hundred.

Given that the discount = 65%

Sale price = $43.75

Let the original price of the dress is $x.

Now, sale price = x - x * 65% = x - x * 65/100 = (100 - 65)x/100 = 35x/100

We can write

35x/100 = 43.75

i.e. x = (43.75 * 100)/35 = 4375/35 = 125

Therefore, the original price of the dress was $125.00. So, option 1 is correct.

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Answer:

x = 110

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

x° is an exterior angle of the triangle, then

x = 60 + 50 = 110

Answer:

C) 4/5

Step-by-step explanation:

pi/4 = 0.7853981634

[tex]\frac{\sqrt{3} }{2}[/tex] = 0.8660254038

3/4 = 0.75. It's less than pi/4, so not correct

9/10 = 0.9. It's more than 0.866, so not correct

4/5 = 0.8. It's right for both condition

8/9 = 0.888. It's more than 0.866, so not correct.

Answer:

first blank is 3

second blank is 126

Step-by-step explanation:

the ratio is 2:3 so you must keep that the same in the table

The one for chocolates is 3 and the one for peppermints is 126

Answer:

140.608

Step-by-step explanation:

Answer:

115°

Step-by-step explanation:

65 +65 = 130

360-130= 230

230÷2= 115

Answer: there are 3150 boys and 3850 girl

Step-by-step explanation:

45÷100×7000= 3150 and 7000- 3150 = 3850

Hope this helps!!

Answer:

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Step-by-step explanation:

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Answer: 126.66 m²

Step-by-step explanation: The pertinent area formula is a = πr², where r is the radius.  here, a = π(6.35 m)² = 40.32π, or approximately 126.66 m²

Answer:

-13 + 4

Step-by-step explanation:

For the sum to be negative, the absolute value of the negative integer has to be 9 more than the positive integer. There are an infinite number of equations, but here is one:

-13 + 4

Answer:

600

Step-by-step explanation:

V=(LxWxH)/3

Multiply 10x15x12/3 and get 600

Answer:

acute triangle

Step-by-step explanation

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Answer: C, Bottom Left

Step-by-step explanation:

The  function that models the depth, in feet, of the water at the pier yesterday, as a function of the time t in minutes past high tide is: 2 cos(π/740t)+6.

Amplitude

A = 8 - 6

A = 2 ft

Average depth

A = (4 + 8)/2

A = 6 ft

Hence:

A+B=8

-A+B=4

1/2t=12×60×20=740

w=2π/t=π740

When t=0

d=2sin4+6=8

4=π/2

Hence:

d(t)=2 sin(π/740t + 4)+6

2 cos(π/740t)+6

Therefore the function that models the depth, in feet, of the water at the pier yesterday, as a function of the time t in minutes past high tide is: 2 cos(π/740t)+6.

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Step-by-step explanation:

the base is 5unit and the height is 9unit

Answer:

The base is 5 units the height is 9 units

Step-by-step explanation:

Just count the blocks in the diagram

base  = 5

Height = 9

Answer:

x=25.

Step-by-step explanation:

We know because of corresponding angles, the sum of the angle adjacent to (2x-5) and (2x-5) is 180 degrees

2x-5+5x+10=180

7x+5=180

7x=175

x=25