Given: ΔАВС, m∠ACB = 90° CD ⊥ AB , m∠ACD = 60° BC = 6 cm, find the length of AD

Answer:

-53

Step-by-step explanation:

(x+2)

x^4 =       -2^4 = 16

15x^3 =     15* (-2)^3 = -120

6x^2 =       6(-2^2) = 24

12x =        12*(-2) = -24

substitute into equation:

x^4 + 15x^3 + 6x^2 - 12x + 3 = 16+ (-120) + 24 - (-24) + 3 = -53

Given Polynomial is x^4 +15x^3 +6x^2 - 12x +3

Divisor = x+2

We know that

Remainder Theorem:

Let P(x) be a polynomial of the degree is greater than or equal to 1 and (x-a) is another linear polynomial,If P(x) is divided by (x-a) then remainder is P(a).

So, P(x) is divided by (x+2) then the remainder is P(-2).

P(-2) =

⇛(-2)^4+15(-2)^3+6(-2)^2-12(-6)+3

⇛ 16+15(-8)+6(4)+72+3

⇛16-120+24+72+3

⇛ 67-120

⇛ -53

P(-2) = -53

Answer:- The remainder is -53.

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The remainder obtained when x^4 + 3x^2 - 2x + 2 is divided by (x + b) is the square of the remainder obtained when x^2 – 3 is divided by (x + b...

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Answer:

1. 3rd

2. 3rd

3. 1st

4. 1st

Answer:

no

Step-by-step explanation:

1. is right

2. is third-person

3. is right

4. is right

Answer:

Option B is correct.

Step-by-step explanation:

Our expression is:

Let's check all of our options to see if any option is accurate.

Option A:

(n + 8)(n + 11)

=> n² + 11n + 8n + 88

=> n² + 19n + 88

n² + 19n + 88 ≠ n² + 26n + 88

Option B:

(n + 4)(n + 22)

=> n² + 22n + 4n + 88

=> n² + 26n + 88

=> n² + 26n + 88 = n² + 26n + 88 ✔

Option C:

(n + 4)(n + 24)

=> n² + 24n + 4n + 96

=> n² + 28n + 96

=> n² + 28n + 96 ≠ n² + 26n + 88

Option D:

(n + 8)(n + 18)

=> n² + 18n + 8n + 144

=> n² + 26n + 144

=> n² + 26n + 144 ≠ n² + 26n + 88

Conclusion:

So, after working on this problem, we can conclude that Option B is our answer. Hoped this helped

Answer:

B

Step-by-step explanation:

edge 22'

Answer:

c. is correct

Step-by-step explanation:

hipe its attachments

The unit rate of the distance covered per unit stride taken is; 3.5 ft per stride.

From the given table and graph, we see that;

Number of strides taken is on the x-axis.

Distance covered for each respective number of strides is on the y-axis.

Now, the rate will be;

Rate = Change in Distance covered/Change in number of strides

Thus;

Rate = (14 - 7)/(4 - 2)

Rate = 7/2

Rate = 3.5 ft per strides

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Answer:

Oliver’s table indicates that for every increase of 2 strides, the distance he travels increases by 7 feet. So, the change in distance divided by the change in stride gives the unit rate.

Step-by-step explanation:

Answer:

Its not always the same, 45 dollars

Step-by-step explanation:

Here is why its not always the same:

12/2 = 6 dollars/pound

30/6 = 5 dollars/pound

35/7 = 5 dollars/pound

we can see that they are not the same price as they vary.

For 9 pounds we can assume that the price would continue to be 5 dollars/pound:

x/5 = 9

x=5*9

x= 45

Answer:

slope = 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, - 3 ) and (x₂, y₂ ) = (2, 5 ) ← 2 points on the line

m = [tex]\frac{5-(-3)}{2-(-2)}[/tex] = [tex]\frac{5+3}{2+2}[/tex] = [tex]\frac{8}{4}[/tex] = 2

Step-by-step explanation:

how many cups of water do you need to fill fill one jar

Answer:

y = -3x + -9/6

-9/6 simplified as -3/2

19/50

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Answer:

Step-by-step explanation:

Convert mixed fraction to improper fraction.

Find LCM of the denominators and find equivalent fraction.

Now, subtract

[tex]7\dfrac{2}{9}=\dfrac{(7*9)+2}{9}=\dfrac{63+2}{9}=\dfrac{65}{9}[/tex]

[tex]5\dfrac{1}{5}=\dfrac{26}{5}[/tex]

LCM of 9 and 5 = 45

[tex]\dfrac{65}{9}*\dfrac{5}{5}=\dfrac{325}{45}[/tex]

[tex]\dfrac{26}{5}*\dfrac{9}{9}=\dfrac{234}{45}[/tex]

[tex]7\dfrac{2}{9}- 5\dfrac{1}{5}=\dfrac{65}{9}-\dfrac{26}{5}\\\\ =\dfrac{65*5}{9*5}-\dfrac{26*9}{5*9}\\\\\\=\dfrac{325}{45}-\dfrac{234}{45}\\\\\\=\dfrac{325-234}{45}\\\\\\=\dfrac{91}{45}\\\\\\=2\dfrac{1}{45}[/tex]

Answer:

Q9: C.

Since each smaller line counts as 1/5, you can simply start from the point 1 and count 3 times to reach D.

[tex]3*\frac{1}{5} =\frac{3}{5}[/tex]

Since you started at 1, you can add [tex]1+\frac{3}{5} =1\frac{3}{5}[/tex]

Q10: B

We can subtract/ignore 3 from all of them to make things simpler.

Now, we need to find the lowest value to greatest from:

[tex]\frac{5}{8}, \frac{7}{16} ,\frac{1}{2}[/tex]

In order to compare these, we make the denominators the same (in this case: 16)

[tex]\frac{5}{8} =\frac{5*2}{8*2} =\frac{10}{16}[/tex]

[tex]\frac{7}{16} =\frac{7}{16}[/tex]

[tex]\frac{1}{2} =\frac{1*8}{2*8} =\frac{8}{16}[/tex]

Since 7 is the smallest value, followed by 8 and lastly 10,

the smallest to greatest in order would be

[tex]\frac{7}{16} ,\frac{1}{2} ,\frac{5}{8}[/tex] (B)

11: C

If you look at both [tex]\frac{2}{4}[/tex] and [tex]\frac{5}{8}[/tex], they are not directly above one another. Hence, they are not equal.

The speed of the car is 41.7 m/s when the power is 1890 watts.

Proportion is defined as an equation on which two or more ratios are made to be equal to each other.

It is given that the power, P is proportional to square of the Speed,s.

If P ∝ s², then P = k s², for some constant k.

When s = 45 m/s, P = 2200 watts

k = P / s² = 2200 / 45² = 1.086

∴ when P = 1890 watts,

1890 = 1.086 × s²

s² = 1740.331

s = 41.717 ≈ 41.7 m/s

Hence, if power is proportional to the square of the speed, then, the speed of the car engine is 41.7 m/s if the power is 1890 watts.

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Answer:

zero slope

Step-by-step explanation:

horizontal lines are zero slope because they are not slanted (slope)

this is a horizontal line.

Answer:

The answer is D

Step-by-step explanation:

Answer:

P is the incorrect answer

Answer:

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

[tex]a_{n}[/tex] = 3n + 3

Step-by-step explanation:

The sequence is arithmetic with explicit formula

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

From the recursive formula

a₁ = 6 and d = 3 [ the constant being added to A(n - 1) ] , then

[tex]a_{n}[/tex] = 6 + 3(n - 1) = 6 + 3n - 3 = 3n + 3

Answer:

10?

Step-by-step explanation:

it is either 10x or 100x :)) can i get brainliest? hope ur having a good day btw :DD

The place value of 2 will be 100 times greater than before.

Place value is a numerical value that every digit in a number has based on its position.

For example; in a number 2398, the place value of 3 is 300, as it is placed at hundredth place.

Given that, A whole number has a 2 in the tens place. If the 2 were moved from the tens place to the thousands place,

At tens place, the value of a number will multiplied by 10 as it is at tenth place,

At tens place = 20

Similarly,

At thousand place, the value of a number will multiplied by 100 as it is at thousand place,

At thousand place = 2000

2000 / 20 = 100

Hence, the value of 2 will be 100 times greater than before.

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Work Shown:

old side length = 2x

new side length = 2*(old side length) = 2*2x = 4x

For any cube, the length, width and height are all the same. So L = W = H.

volume = L*W*H

volume = L*L*L

volume = L^3

volume = (4x)^3

volume = 4^3*x^3

volume = 64x^3

Using the findings from a qualitative study to develop a new quantitative survey is known as mixed integration.

Mixed integration is called the data collection and information classification system that includes both qualitative and quantitative processes as access mechanism to said data and information, that is, performing a mixed or dual analysis of the concepts being studied.

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Answer: 8 for 1/2 gallon, 16 for a gallon

Step-by-step explanation:

Answer:

7%

Step-by-step explanation:

5 years= $1,400

1 year= 1,400/5= 280

$280 is ?% of $4,000

(280/4000)*100

so, 7%

Hope this helps!

Answer:

I’m pretty sure it’s the bottom one

Step-by-step explanation: