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1. x[tex]\\1. x_{1}=-4, x_{2}=-3\\2. x_{1}=-4, x_{2}=9\\3. x_{1}=-5, x_{2}=8\\4. x_{1}=-4, x_{2}=1.5\\5. x_{1}=-4, x_{2}=4\\6. x_{1}=2, x_{2}=4\\7. x_{1}=1.75, x_{2}=1.75\\8.x_{1}=-\sqrt{7}-6 , x_{2}=\sqrt{7} -6\\9. x_{1}=-2, x_{2}=1\\1. x_{1}=-8, x_{2}=8[/tex]=-4, x2=-3

2.

Answer:

there was 12 pencil's in each package because 12 ×4=48 48 -8=40

x = y + z

To simplify,

substitute z = y + 1

x = y + y + 1

x = 2y + 1

3 presents.

Reason:

12 divided by 2 is 6, and 18 divided by 3 is also 6, meaning that he will be able to wrap 3 presents.

Answer:

Answer is 3 presents

Step-by-step explanation:

12 centimeter tape used for 2 presents

1 centimeter tape used for [tex]\frac{2}{12}[/tex] presents

18 centimeter tape used for 18 × [tex]\frac{2}{12}[/tex] presents

                                             = 3 presents        

Answer:

0.5 , 1

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

slope 0 means same y

so C (y is -5 for both)

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Answer:

C

Step-by-step explanation:

A line with slope of zero means that the y value doesn't change like the x axis. so we'll need to find points that even though they have different x values, they have the same y value. That. being said C is the answer

Answer: D

Step-by-step explanation:

The solution is, the required value is cot(π/3) = √3/3

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

here, we have,

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

here, we have,

we know that,

note :

cot a = cosa /sina

here,

so : cot(π/3) = cos(π/3)/sin(π/3)

but : cos(π/3) = 1/2  

and   sin(π/3) = √3 /2

now, we get,

cot(π/3) = (1/2) / (√3 /2)

             = (1/2)×(2/√3 )

             = 1/√3

             = (1×√3)/( √3 ×√3)

             = √3/3

Hence, The solution is, the required value is cot(π/3) = √3/3

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Answer:

188

Step-by-step explanation:

88 + 6= 94

94 + 94 = 188

188 divided by 2 = 94

94 - 6 = 88

88 was how much Paula paid

Answer: 12

Step-by-step explanation: 96-84=12

I dont really know how i did it I just did.

Answer:

Hey mate......

Step-by-step explanation:

This is ur answer.......

Theorem 39: If a convex polygon has n sides, then its interior angle sum is given by the following equation: S = ( n −2) × 180°.

Hope it helps!

mark me as the brainliest.....

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Answer:

In short, they are all quadrilaterals.

Step-by-step explanation:

Rectangle:

- Every angle equals 90 degrees

- Opposite sides are equal and parallel

Square:

- Every angle equals 90 degrees

- Opposite sides are equal and parallel

- Diagonals within the square are perpendicular

Parallelogram:

- Opposite sides are equal and parallel

- Opposite angles are equal

- Any two angles next to each other have to equal 180 degrees, since it would be a line

Rhombus:

- Opposite angles are equal

- All sides are equal

- Opposite sides are parallel

- Diagonals within the square are perpendicular

- Any two angles next to each other have to equal 180 degrees, since it would be a line

Trapedzoid:

- There is only one pair of parallel lines

Kite:

- There are two pairs of equal signs

- There are two equal angles

- You can look at it like two equal triangles glued together

Really hope this helped you!

Step-by-step explanation:

B ANSWER OOOOOKKKKKKKKK

Answer:

Step-by-step explanation:

1

Missing part of question

(a) If all matching cards will increase her score by 18, what are the matching cards

(b) If all matching cards will decrease her score by 12, what are the matching cards

See attachment for cards

Answer:

(a) 9 card number 2 or 6 card number 3

(b) 6 card number -6

Step-by-step explanation:

Given

The number on the cards are: 2, 3, -6 and 4

Solving (a): An increment of 18

From the card numbers attached, there are 3 positive numbers and 1 negative number

If any of the card numbers is to increase her score, then the card number must be positive. So, we have: card numbers 2, 3 and 4 that fit in this category.

Next, for a card number to give an increment of 18; the card number must be a factor of 18.

So, we have:

[tex]\frac{18}{2} = 9[/tex]

[tex]\frac{18}{3} = 6[/tex]

[tex]\frac{18}{4} = 4.5[/tex]

Only 2 and 3 are factors of 18.

So, Natalie cards are: 9 card number 2 or 6 card number 3

Solving (b): A decrement of 12

If any of the card numbers is to decrease her score, then the card number must be negative. So, we have: card -6 that fit in this category.

Next, is to check if -12 is divisible by -6 (-12 means decrement of 12)

So, we have:

[tex]\frac{-12}{-6} = 2[/tex]

So, Natalie cards are: 6 card number -6

Answer:61

Step-by-step explanation:

Answer:

b and c

Step-by-step explanation:

i got it right on my khan academy

Answer: x=2, f(x)=-4

Step-by-step explanation:

Given

[tex]f(x)=9x^2-36x+32[/tex]

Solving it, add and subtract 4 to it

[tex]\Rightarrow f(x)=9x^2-36x+36-4\\\Rightarrow f(x)=(3x)^2+(6)^2-2\times 3x\times 6-4\\\Rightarrow f(x)=(3x-6)^2-4\\\\\text{here minimum value of }\ (3x-6)^2\ \text{is 0 for x=2}\\\text{so mnimum value of }\ (3x-6)^2-4\ \text{is}\ -4[/tex]

Answer: after you factor use the results (3x-6)^2 - 4 to find the minimum X value but picking a number for the X value to solve to 0.

Step-by-step explanation:

Plug x=2 into the equation and it solves to 0 leave out the -4 because this is the y value

Answer:

72 degrees is the larger angle

Step-by-step explanation:

SImple ratio problem

So we got a ratio of 4:1 that eqauls to 90 degrees when added up. We can jsut add the 2 numbers 4+1 which will be 5. Now divide 90 by 5 which will equal 18. Now we multiply 18 by each number int he same order of the ratio.

4*18: 1*18

72:18 which equals 90. SInce they ask for the larger angle the answer will be 72.

Answer:

the answerrrrrrrrrrr is 27+54m+36m^2+8m^3

Answer:

Y = 1

Step-by-step explanation:

Proportional

Answer:

y=1

Step-by-step explanation:

Because they are proportional, the two points have to be equal if they were like a fraction. This means (15,3) would be 15/3 which is equal to 5. The other point is (5,?), so that means that the point will have to be 1. This is because then the point will be equal to 5.

Hope this helps

Answer:

85/12. figure out which one the answer is now, just convert 85/12 to a mix number

Step-by-step explanation:

5/4 + 35/6 = 85/12.

Answer:

The correct answer is D

Step-by-step explanation:

Answer: V≈565.49

Step-by-step explanation:

V=πr2h=π·62·5≈565.48668

Answer:

option 1:

Step-by-step explanation:

10 (3x + 10)

Answer:

t=-8

Step-by-step explanation:

-3+-5-2t = 8

-8 -2t = 8

t = -8

Answer:

Answer: Pct women = 56%; pct men = 44%

Step-by-step explanation:

Pct men = total men/total people * 100

men = 750-420 = 330

Pct men = 330/750 *100 = 11/25 *100 = 0.44 * 100 = 44%

.

Pct women = 100% - 44% = 56%

.

Check the answer by checking the percentage of women.

women = 420

Pct women = 420/750 * 100 = 14/25 = 56%

Correct.

.

Answer: Pct women = 56%; pct men = 44%

Answer:400

Step-by-step explanation: 400

Answer:

Solution given:

diagonal 1=AC=5+5=10 units

diagonal 2=BD=4+5=8units

area of polygon (rhombus)=½*(diagonal 1*diagonal 2)

=½(10*8)=40square units

Area=40square units

Answer:

Step-by-step explanation:

B

Answer: it’s hight is twice the length of its radius

Step-by-step explanation:

Answer:

I used a calculator.

Step-by-step explanation:

mixed number form 3 1/3

exact form 10/3

Answer:

4/8.1 is the answer.

Step-by-step explanation:

sin Θ = opposite side / hypotenuse

sin ∠F = 4/8.1

Answer: 4/8.1

Step-by-step explanation:

SOH CAH TOA

So son uses opposite and hypotenuse

Opposite from the angle of DFE is 4 and hypotenuse is 8.1 so

sin-1(4/8.1)= angle DFE