Please help me with this geometry question

The point on the curve where the tangent line has a slope of 1/2 is (x, y) = (7, -7).

To find the point on the curve x = 3t^2 + 4, y = t^3 - 8 where the tangent line has a slope of 1/2, we need to determine the value of t at which this occurs. First, we find the derivatives of x and y with respect to t:
dx/dt = 6t
dy/dt = 3t^2
Next, we compute the slope of the tangent line by taking the ratio of dy/dx, which is equivalent to (dy/dt) / (dx/dt):
slope = (dy/dt) / (dx/dt) = (3t^2) / (6t) = t/2
Now, we set the slope equal to 1/2 and solve for t:
t/2 = 1/2
t = 1
With t = 1, we find the corresponding x and y values:
x = 3(1)^2 + 4 = 7
y = (1)^3 - 8 = -7
So, the point on the curve where the tangent line has a slope of 1/2 is (x, y) = (7, -7).

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Answer:

2

Step-by-step explanation:

Hey there!

The equation is asking us, c x c = 4

What is c?

Well the only number that is equal to 4 when you square it is 2

The values of a, b, c are 152°, 28°, 152° respectively.

Angles around a point describes the sum of angles that can be arranged together so that they form a full turn.

The sum of angles at a point will give 360°.

This means that a + b + c + 28 = 360

c +28 = 180° ( angle on a straight line)

c = 180 -28

c = 152°

c = a( alternate angles are equal)

therefore the value of a = 152°

b = 28( alternate angles are equal)

therefore the value of b is 28

therefore the values of a, b, c are 152°, 28°, 152° respectively

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Answer:

x ≈ - 4.12 , x ≈ 0.12

Step-by-step explanation:

Given

2x² + 8x - 1 = 0 ( add 1 to both sides )

2x² + 8x = 1 ← factor out 2 on the left side

2(x² + 4x) = 1

To complete the square

add/ subtract (half the coefficient of the x- term )² to x² + 4x

2(x² + 2(2)x + 4 - 4) = 1, that is

2(x + 2)² - 8 = 1 ( add 8 to both sides )

2(x + 2)² = 9 ( divide both sides by 2 )

(x + 2)² = \(\frac{9}{2}\) ( take the square root of both sides )

x + 2 = ± \(\sqrt{\frac{9}{2} }\) = ± \(\frac{3}{\sqrt{2} }\) = ± \(\frac{3\sqrt{2} }{2}\)  ( subtract 2 from both sides )

x = - 2 ± 1.5\(\sqrt{2}\) , thus

x = - 2 - 1.5\(\sqrt{2}\) ≈ - 4.12 ( to 2 dec. places )

x = - 2 + 1.5\(\sqrt{2}\) ≈ 0.12 ( to 2 dec. places )

Answer:

1

Step-by-step explanation:

16-9=5t+2t

7=7t

1=t

Answer:

t = 1

Step-by-step explanation:

16 - 2t = 5t + 9

=> 16 - 2t - 9 = 5t

=> 16 - 9 = 5t + 2t

=> 7 = 7t

=> 7/7 = t

=> 1/1 = t

=> 1 = t

Therefore, the evaluated value of `root((34.64 * (0.0023) ^ 2)/((0.0496) ^ 5), 3)` is approximately 0.3263634046.

To evaluate the expression `root((34.64 * (0.0023) ^ 2)/((0.0496) ^ 5), 3)`, we will follow the order of operations (PEMDAS/BODMAS), which instructs us to simplify operations inside parentheses, exponents, multiplication, division, addition, and subtraction.

First, let's simplify the exponents inside the expression:

- (0.0023) ^ 2 = 0.0023 * 0.0023 = 0.00000529

- (0.0496) ^ 5 = 0.0496 * 0.0496 * 0.0496 * 0.0496 * 0.0496 = 0.000005577776

Now, we substitute the simplified values back into the expression:

- `root((34.64 * 0.00000529) / 0.000005577776, 3)`

Next, we perform the division:

- (34.64 * 0.00000529) / 0.000005577776 = 0.03262532014

Substituting the result back into the expression, we have:

- `root(0.03262532014, 3)`

Now, let's calculate the cube root of 0.03262532014:

- cube root of 0.03262532014 ≈ 0.3263634046

It's important to note that due to rounding during intermediate steps, the final answer may not be entirely precise. If you require a more accurate result, it is recommended to carry out the calculations using higher precision or additional decimal places.

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Answer:

the answer will be 4!!

Step-by-step explanation:

by using the skip, flip, and multiply method. you'll get 4.

2/1(2/1)=4/1

4/1=4

Answer:

x = 1, y = 4, or x = -2, y = 1

Step-by-step explanation:

y = -x^2 + 5

-x + y = 3

Use substitution to solve for the equation

-x + (-x^2 + 5) = 3

-x^2 - x + 5 = 3 (simplifying)

-x^2 -x  + 2 = 0 (simplifying)

(-x + 1)(x+2) = 0 (factoring)

-x + 1 = 0 or x + 2 = 0

x = 1, or x = -2

-x + y = 3

-(1) + y = 3, or -(-2) + y = 3

y = 4, or y =  1

just choose any one...

x = 1, y = 4

or x = -2, y = 1

(they both work)

We have a group of 169 students that needs to be seated in a square formation. Then, the number of rows has to be the square root of 169 :-

\(r = \sqrt{169} = 13\)

Then, a square of 13 rows and 13 columns will fit the 169 students.

If the number of students is 1024, then the number of rows N can be calculated as :-

\( {N}^{2} = 1024\)

\(N = \sqrt{1024} \)

\(N = 32\)

169 students will seat in a 13×13 formation.

1024 students will seat in a 32×32 formation (N=32)

-------------------★-------------------

Answer:

B

Step-by-step explanation:

The inequality d > 3 has infinitely many solutions because 4 and any number to the right of 3 on the number line can be substituted for d to make this inequality true.

In Mathematics, an equation or an inequality is said to have an infinitely many solutions when the left hand side and right hand side of the equation or inequality are the same and equal.

This ultimately implies that, an equation or an inequality would have infinitely many solutions when both sides of the equal sign are the same, and both the slope and y-intercept for the two lines are the same.

The given inequality d > 3 simply means that the variable d is greater than three (3). Therefore, d represents the set of all possible real numbers that are greater than 3 and from the right of 4 on the number line for d > 3 because it has infinitely many solutions.

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Complete Question:

Use the drop-down menus to complete the statement about the inequality d > 3.

The inequality d > 3 has _____ solutions because ______ can be substituted for d to make this inequality true.

Options: for the first one 0 1 2 8 9 Infinitely many

For the second one: No numbers only 1 number 4 and any number to the right of 3 on the number line

Answer:

52.5

Step-by-step explanation:

because you do 15 x 3.5

this gets 52.5

Answer:

52.5

Step-by-step explanation:

because you do 15 x 3.5

this gets 52.5

Step-by-step explanation:

Step-by-step explanation:

it is 12 because 12 - 7 is 5 the number 4 is the number multiplied by 3

Answer:

the number is 4

Explanation:

let the number be b :)

3b - 7 = 5       { three times a number; seven less of that number; is 5 }

3b = 5 + 7      { changed sides }

3b = 12          { divide both sides by 3 }

b = 4              { final answer }

Answer:

The common difference is same = d = -9

Therefore, the data represent a linear function.

Step-by-step explanation:

Given the table

x                        y

1                         4

2                        -5

3                        -14

4                        -23

5                         -32

Finding the common difference between all the adjacent terms of y-values

d = -5 - 4 = -6,

d = -14 - (-5) = -14+5 = -9

d = -23 - (-14) = -23 + 14 = -9

d = -32 - (-23) = -32 + 23 = -9

It is clear that the common difference between all the adjacent terms is same.

Thus,

d = -9

We know that when y varies directly with x, the function is a linear function.

Here, it is clear that each x value varies 1 unit, and each y value varies -9 units.

i.e. The common difference is same = d = -9

Therefore, the data represent a linear function.

Answer:

hope this will help you thank you

it can be also written as 1/5x-5

The expression of the given figure in 2 decimal point is \(3.45*10^8\)

Therefore, the expression in 2 decimal place is \(3.45*10^8\)

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Answer:

x=2 and y=−6

sorry this is pretty long, I did not know if you needed the steps or not

Step-by-step explanation:

−2y−10=x;−10x−y=−14

Solve−2y−10=x for x

−2y−10=x

−2y−10+−x=x+−x

−x−2y−10=0

−x−2y−10+2y=0+2y

−x−10=2y

−x−10+10=2y+10

−x=2y+10

-x/-1=2y+10/-1

x=−2y−10

Substitute−2y−10 for x in−10x−y=−14

−10x−y=−14

−10(−2y−10)−y=−14

19y+100=−14

19y+100+−100=−14+−100

19y=−114

19y/19=-114/19

y=-6

Substitute−6 for y in x=−2y−10

x=−2y−10

x=(−2)(−6)−10

x= 2

x=2 and y=−6

Answer:

b<0

Step-by-step explanation:

2(b+2)>4(1+5b)−b

Step 1: Simplify both sides of the inequality.

2b+4>19b+4

Step 2: Subtract 19b from both sides.

2b+4−19b>19b+4−19b

−17b+4>4

Step 3: Subtract 4 from both sides.

−17b+4−4>4−4

−17b>0

Step 4: Divide both sides by -17.

−17b

−17

>

0

−17

b<0

Answer:

b<0

Answer:

2(b + 2) > 4(1 + 5b) -b

2b + 4 > 4 + 20b -b

2b - 20b + b > 4 - 4

-17b > 0

b < 0/-17

b < 0

Answer:

Step-by-step explanation:

the first one is the first picture

Coterminal angles are those whose ultimate positions are identical but whose number of full revolutions varies.

No, coterminal angles have the same angle measure. Two angles are coterminal if they have the same initial side and the same terminal side, meaning that they differ by an integer multiple of 360 degrees (or 2π radians) or by a multiple of 360 degrees plus or minus any number of full rotations (i.e., adding or subtracting 360 degrees or 2π radians any number of times).

For example, 30 degrees and 390 degrees are coterminal angles because 390 - 30 = 360, which is a multiple of 360 degrees. Similarly, 45 degrees and 405 degrees are coterminal because 405 - 45 = 360

However, two angles that differ by a non-integer multiple of 360 degrees are not coterminal. For example, 30 degrees and 390.5 degrees are not coterminal because they differ by 360.5 degrees, which is not a multiple of 360 degrees.

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Answer:

$5

Step-by-step explanation:

We want to find the cost of a notepad considering a magazine costs $3 and we buy 2 notepads and the total cost of the magazine and the 2 notepads is $13 so we can set up an equation to represent this situation. Let 'n' be notepads and that's the value we are solving for so,

⇒ Form the equation

→ 2n + 3 = 13

⇒ Minus 3 from both sides to isolate 2n

→ 2n = 10

⇒ Divide both sides by 2 to find the cost of one notepad

→ n = 5

The cost of one notepad is $5 considering that a magazine cost's $3 and two notepads and total is $13.

Answer:

i think the first one. I hope it's right. Good luck!

Step-by-step explanation:

To find the values of y for which the binomial expression 5y - 7 belongs to the interval (-5, 13), we need to solve the inequality:

-5 < 5y - 7 < 13

Adding 7 to all sides of the inequality, we get:

2 < 5y < 20

Dividing all sides by 5, we have:

2/5 < y < 20/5

Simplifying the fractions, we get:

0.4 < y < 4

Therefore, the values of y that satisfy the inequality and make the binomial expression 5y - 7 belong to the interval (-5, 13) are in the range of 0.4 < y < 4. In interval notation, this can be expressed as (0.4, 4).

Note: The solution assumes that y is a real number.

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Answer

1.RS 5400

2.RS 6000

STEP

1.Dhurmus(c.p)

p%=s.p-c.p×100%

c.p

25%=(6,750-c.p)100%

25c.p=675,000-100c.p

(25+100)c.p=675,000

125c.p=675,000

125 125

Dhurmus(c.p)=RS 5400

2.Suntali

l%=c.p-s.p×100%

c.p

10%=c.p-5400×100%

c.p

10c.p=100c.p-540,000

(10-100)c.p= -540,000

-90c.p= -540,000

-90 -90

Suntali (c.p)= RS 6000

Step-by-step explanation:

\( { - z}^{6} \\ z = - 3\)

\( - {( - 3)}^{6} \\ = - 1 \times ( - 3 \times - 3 \times - 3 \times - 3 \times - 3 \times - 3)\)

= -1 × 729

= -729

Answer:

Its 20

Step-by-step explanation:

The probability that they have an average weight of greater than 10 pounds and less than 15 pounds is 0.84134

In this question we have been given there are 250 dogs at a dog show who weigh an average of 15 pounds, with a standard deviation of 6 pounds. of 10 dogs are chosen at random.

We need to find the probability that they have an average weight of greater than 10 pounds and less than 15 pounds.

Given, μ = 12, σ = 8, n = 4

P(X > 8)

= P(z > (8 - 12 / 8/√4))

= P(z > -1)

= 1 - P(z ≤ -1)

= 1 - [1 - P(z ≤ 1)]

=  P(z ≤ 1)

= 0.84134

Therefore, the required probability is 0.84134

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Answer:

\( - 8x - 14 > 5x + 12 \\ \\ - 8x - 5x > 12 + 14 \\ \\ - 13x > 26 \\ \\ x > - 2\)

Answer:

can I put on yo jaw vshdhdhdh

Answer:

Volume of a cylinder=1/2πr^2h.

1/2×3.142×10^2×5.

1/2×3.142×100×5.

1/2×1571

=785.5

Answer:

About 1570.8

Step-by-step explanation:

Start by looking at the equation for solving a cylinder, which is V = π x r² x h. Since r = radius (5) and h = height (10), you add those numbers into the equation. Now you have to solve V = π x 5² x 10, which will get you your repeating decimal of 1570.79633...which then can be rounded your answer of 1570.8.