Find the remainder when the polynomial 6x2 + 8x - 2 is divided by x - 2.

Answer:

35 votes

Step-by-step explanation:

First we divide :)

56/8 = 7

Now we multiply 5 by 7

5 x 7 = 35

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Answer:

knowing 4 times 8 will help you know 4 times 80 because all you would have to do is multiply 4 by 8 and then add the 0 to your answer

Step-by-step explanation:

4*8=32

Answer:

60

Step-by-step explanation:

400-160=240

240/4=60

Explanation:

To get to the desired conclusion, you will want to make use of CPCTC and the fact that triangle AXB is congruent to triangle CYD. In order to show those two right triangles are congruent, it is sufficient to claim congruence of their hypotenuses and one internal acute angle (HA congruence). The corresponding internal angles are alternate interior angles where a transversal (BD) crosses parallel lines (AB║CD). It's tedious, but not terribly difficult.

__

Statement . . . . Reason

1. Congruent segment pairs are (AB, CD), (AD, BC) . . . . given

2. Perpendicular segment pairs are (AX, BD), (CY, BD) . . . . given

3. ABCD is a parallelogram . . . . definition of parallelogram (opposite sides are the same length)

4. AB ║ CD . . . . definition of parallelogram (opposite sides are parallel)

5. ∠ABX ≅ ∠CDY . . . . alternate interior angles at BD

6. ΔAXB and ΔCYD are right triangles . . . . definition of right triangle (angles at X, Y are 90°)

7. ΔAXB ≅ ΔCYD . . . . HA congruence postulate (AB, CD are the hypotenuses)

8. AX ≅ CY . . . . CPCTC

_____

Additional comment

A lot of proof has to do with working backward, answering the question, "How do I know ...?" The beginning paragraph in this answer attempts to show you the answers to those questions.

This proof works with the smaller triangles AXB and CYD. You could do the same proof with the larger triangles AXD and CYB. For that, you'd have to claim that AD║BC.

Answer:

I hope the attached image helps!

Step-by-step explanation:

Answer: use the pythagorean theorem method

A² + B² =C²

7²+ 10² =C²

7•7=49

10•10=100

49+100= 149

the square root of 149 is

12.2.

7²+10²= 12.2² or 12 rounded to the nearest tenth

hope this helps :)

Step-by-step explanation:

Answer: $ 14.32

Step-by-step explanation:

15% of 16.85 = 0.15 x 16.85 = 2.5275 ≈ 2.53  

16.85 - 2.53 = 14.32

Answer:

$68.25

Step-by-step explanation:

1. First, to find the cost of one sweatshirt, we multiply 175 by 13, and then divide by 100.

2. Now, we know that one sweatshirt costs $22.75. To find the cost of three sweatshirts, we multiply 22.75 by 3.

Therefore, the cost of 3 sweatshirts is $68.25.

The equation has two solutions. Means Discriminant means b^2-4ac >0

Here b = a.

a = 1

c = b

a^2 - 4b >0

a=2

b= -1

then a^2 - 4b > 0 = 4+4 > 0

therefore its 2, -1

The pair (a, b) represents the sum and product of the roots of the quadratic equation x² + ax + b = 0.

We have,

Given that the equation x² + ax + b = 0 has solutions a and b, the sum and product of the roots (a and b) can be related to the coefficients of the quadratic equation.

The sum of the roots of a quadratic equation is given by:

Sum of roots = -coefficient of x / coefficient of x² = -a

The product of the roots of a quadratic equation is given by:

Product of roots = constant term / coefficient of x² = b

From the given information, we have:

The sum of roots = a

Product of roots = b

Thus,

The pair (a, b) represents the sum and product of the roots of the quadratic equation x² + ax + b = 0.

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Answer:

A

Step-by-step explanation:

Answer: The longest part of the circle is called diameter. Diameter is a chord. It is equal to double of radius.

A chord is a line segment with both endpoints on the circle. The diameter is a special chord that passes through the center of the circle. The diameter would be the longest chord in the circle.

Step-by-step explanation:

Answer:

Each t-shirt  cost 13 dollars.

Step-by-step explanation:

Since the jacket was 20 bucks, we can set that aside:

85-20=65

Now that we've set that aside, there are five t-shirts. If they all cost the same, that means we can divide!

65/5=13

How to check?

Use inverse operations: 13*5=65

Re-add the 20 bucks from the jacket, and the bill is complete again! Use inverse operations: 13*5=65

Each shirt costs $13.

Answer:

a) 36°

b) 37°

Step-by-step explanation:

a) x=14 y=10

tan(0) = 10/14

0 = tan-1 (10/14)

0 = 36

b) x=17 y=13

tan(0) = 13/17

0 = tan-1 (13/17)

0 = 37

since its 25% on each of the 4 years then it becomes 100%, but because its decreasing then that means it is half of $2300, which is $1150.

The answer is $1150

Answer:

15

Step-by-step explanation:

3 liters equals to 3000 milliliters

divide 3000 by 200 and you get 15 bowls of soup

Answer:

They came to different conclusions because if you graph n+10 and 2n+3, eventually 2n+3 will surpass n+10 (see picture for diagram). Since they both plugged in different numbers for n, they received different answers to the question.

Answer:

0.44

Step-by-step explanation:

See the picture below.

Remember that the sine is the ratio of the length of the opposite leg to the length of the hypotenuse.

Perhaps you know SOHCAHTOA, where SOH means sine, opposite, hypotenuse.

For angle J, leg LK is the opposite leg.

The hypotenuse of the triangle is the side opposite the right angle, teh angle of 90°, which is angle L, so the hypotenuse is side KJ.

[tex]\sin J = \dfrac{opposite~leg}{hypotenuse}[/tex]

[tex] \sin J = \dfrac{39}{89} [/tex]

[tex] \sin J = 0.43820... [/tex]

Answer: 0.44

Answer: 12.5?

Step-by-step explanation: because a square is a full and half of it makes a triangle so I guess its half so 12.5?

Answer: x=61 y=29

well all the angles have to add up to 360 so its pretty simple to find,

2y=58

y=58/2=29

y=29

58*2=116

360-116=244

244/2=122

2x=122

x=122/2=61

x=61

Answer:

Rotate 180 degrees

Step-by-step explanation:

Answer:

5x+1=10²

Step-by-step explanation:

[tex]log_{x}y=n\\ y=x^{n}[/tex]

㏒(5x+1)=2

5x+1=10²

Answer:

20

Step-by-step explanation:

Let's start by rewriting the second equation in terms of "x":

[tex]x+y=5[/tex]

Subtract y from both sides:

[tex]x=5-y[/tex]

Now, substitute "5-y" for "x" in the first equation:

[tex](5-y)^2-y^2=100[/tex]

Note that:

[tex](a-b)^2=a^2-2ab+b^2[/tex]

[tex]25-10y+y^2-y^2=100[/tex]

Cancel out like terms:

[tex]25-10y=100[/tex]

Subtract 25 from both sides:

[tex]-10y=75[/tex]

Divide both sides by -10

[tex]y=\frac{75}{-10}=\frac{15}{-2}=-\frac{15}{2}[/tex]

Now, substitute this value back into either of the equations to solve for x.

[tex]x+y=5\\x-\frac{15}{2}=5\\[/tex]

Add 15/2 to both sides:

[tex]x=5+\frac{15}{2}\\x=\frac{10}{2}+\frac{15}{2}\\x=\frac{25}{2}[/tex]

Now, find the difference:

[tex]x-y=\frac{25}{2}-(-\frac{15}{2})=\frac{25}{2}+\frac{15}{2}=\frac{40}{2}=20[/tex]

Answer:

v=7

Step-by-step explanation:

i just used a math website for my answers and told it to simplify. try using that website. i always get an 90-100's on my tests from using that

Given equation :

[tex]{\qquad \sf \dashrightarrow{ 56= 7v + v }}[/tex]

We can rewrite the equation as :

[tex]{\qquad \sf \dashrightarrow{ 7v + v = 56 }}[/tex]

Adding like terms :

[tex]{\qquad \sf \dashrightarrow{ 8v = 56 }}[/tex]

Dividing both sides by 8 :

[tex]{\qquad \sf \dashrightarrow{ \dfrac{8v}{8} = \dfrac{56}{8} }}[/tex]

[tex]{\qquad \bf \dashrightarrow{ v = 7 }}[/tex]

Henceforth,

Answer:

289m = 2,890dm

Step-by-step explanation:

you multiply the meters by 10

Answer:

Half of the 10-inch quesadilla ↓

Here is the inequality statement:

10 ÷ 1/2 = 5 > 4

10 divided by its half equals five which is greater than 4.

Answer:

I don't see what the question is

Answer: Yes

Step-by-step explanation:

DEF's side lengths are multiples of ABC's side lengths

Answer:

Step-by-step explanation:

Tangents from a common point are equal.

In other words AC = AB

AC = 8x

AB = 2x^2

2x^2 = 8x                 Divide both sides by 2x

2x^2/2x = 8x / 2x    Divide

x = 4

AC = 8x

AC = 8*4

AC = 32

AB = 2x^2

AB = 2 (4)^2

AB = 2*16

AB = 32

The equation that can be used to find x in the triangle is x + 86 = 180

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.

Therefore, let's find the angle of x in the triangle.

Triangle DEF is shown above. Therefore, the equation that can be used to find the value of x can be calculated as follows:

49 + 37 + x = 180

Therefore, the equation is as follows:

x + 86 = 180

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An equation that could be used to find the value of x is: B. x + 86° = 180°.

In Mathematics and Geometry, two (2) triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Additionally, the sum of all of the interior angles of a triangle is always equal to 180 degrees. In this scenario, we can logically deduce that the sum of the given angles are supplementary angles:

m∠1 + m∠2 + m∠3 = 180°

37° + 49° + m∠3 = 180°

86° + m∠3 = 180°

x + 86° = 180° (required equation)

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Answer:

m∠C = 75°

Step-by-step explanation:

Theorem:

The consecutive angles of a parallelogram are supplementary (sum to 180°).

⇒ m∠D + m∠E = 180°

⇒ (7x + 21) + (15 + 5x) = 180

⇒ 7x + 21 + 15 + 5x = 180

⇒ 12x + 36 = 180

⇒ 12x = 144

⇒ x = 12

Theorem:

Opposite angles of a parallelogram are equal.

⇒ m∠C = m∠E

⇒ m∠C = 15 + 5x

Substituting found value of x:

⇒ m∠C = 15 + 5(12)

⇒ m∠C = 75°

Consecutive angles of a parallelogram are supplementary

<C:-

Answer:

14

Step-by-step explanation:

tan41° = opposite / adjacent

tan41 = 12/x

x ( tan41 ) = 12

X = 12/tan41°

X = 13.80

when rounded off = 14