AandBhave coordinates (-1,1.5) and (3,2).
Tangents to the curve have been drawn at A and B.
Calculate the gradient of the curve at A and at B.

Answers

Answer 1
Gradient = y2-y1/x2-x1 = 2-1.5/3-(-1) = 1/8

Gradient = 1/8

Related Questions

Express cos L as a fraction in simplest terms

Answers

Answer:

cos L = [tex]\frac{23}{25}[/tex]

Step-by-step explanation:

cos L  = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{KL}{JL}[/tex] = [tex]\frac{23}{25}[/tex]

Proving Triangle Similarity


helpppppppppppppppp edge 2022


30 reward thing

edit: nvm i got it

Answers

The Triangle PQR is similar to Triangle TSR by angle-angle prostate or AA .

What is the similarity law for triangles?

It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

We have a given two triangles as shown in the picture.

As we have given QR ⊥ PT

And

Angle QPR ≅ Angle STR  (given)

From the definition of the perpendicular line, the angle at the intersection will be a right angle or 90 degrees.

Angle QRP ≅ Angle SRT

By angle-angle or AA

Triangle PQR is similar to Triangle TSR

Thus, the Triangle PQR is similar to Triangle TSR by angle-angle prostate or AA .

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Given: l || m; ∠1 ∠3

Prove: p || q

Horizontal and parallel lines l and m are intersected by parallel lines p and q. At the intersection of lines l and p, the uppercase left angle is angle 1. At the intersection of lines q and l, the bottom right angle is angle 2. At the intersection of lines q and m, the uppercase left angle is angle 3.

Complete the missing parts of the paragraph proof.



We know that angle 1 is congruent to angle 3 and that line l is parallel to line m because
. We see that is congruent to by the alternate interior angles theorem. Therefore, angle 1 is congruent to angle 2 by the transitive property. So, we can conclude that lines p and q are parallel by the

.

Answers

The parts that are missing in the proof are:

It is given

∠2 ≅ ∠3

converse alternate exterior angles theorem

What is the Converse of Alternate Exterior Angles Theorem?

The theorem states that, if two exterior alternate angles are congruent, then the lines cut by the transversal are parallel.

∠1 ≅ ∠3 and l║m because we are: given

By the transitive property,

∠2 and ∠3 are alternate interior angles, therefore, they are congruent to each other by the alternate interior angles theorem.

Based on the converse alternate exterior angles theorem, lines p and q are proven to be parallel.

Therefore, the missing parts pf the paragraph proof are:

It is given∠2 ≅ ∠3converse alternate exterior angles theorem

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Answer:

it is given

angle 2

angle 3

converse alternate exterior angles theorem

Step-by-step explanation:

Find the y-intercept of the rational function.

A (0, -10)
B (-10, 0)
C (0 , -2)
D (-2, 0)

Answers

Answer:

C

Step-by-step explanation:

The y intercept is when the graph passes the y axis. This occurs at (0,-2)

I need this Asap Please and Thank you​

Answers

Answer:

[tex]a= 10,\:\: b=6[/tex]

Step-by-step explanation:

[tex]\frac{7^2\:.\:7^8}{7^4}=\frac{7^a}{7^4}=7^b[/tex]

[tex]\rightarrow\frac{7^{2+8}}{7^4}=\frac{7^a}{7^4}=7^b[/tex]

[tex]\rightarrow\frac{7^{10}}{7^4}=\frac{7^a}{7^4}=7^b[/tex]

[tex]\rightarrow {7^{10-4}}={7^{a-4}}=7^b[/tex]

[tex]\rightarrow {7^{6}}={7^{a-4}}=7^b[/tex]

[tex]\rightarrow 6=a-4=b[/tex] (Bases are equal so exponents will also be equal)

[tex]\rightarrow 6=a-4,\:\: 6=b[/tex]

[tex]\rightarrow 6+4=a,\:\: 6=b[/tex]

[tex]\rightarrow a= 10,\:\: b=6[/tex]

Plsssssss answerrrrr

Answers

the answer I knew but I forgot at ate

Jessica Kim Val and twice

what are the x-intercept(s) of the function

Answers

Zeros of Rational Functions

To find the zeros of a rational function, we must identify values of x that make the numerator equal to 0. We can do this by factoring and by keeping in mind the zero-product property.

The zero-product property states that if the product of two terms is 0, then one of the terms must be equal to 0.

Solving the Question

We're given:

[tex]f(x)=\dfrac{4x^2-36x}{x-9}[/tex]

First, factor 4x out of the numerator:

[tex]f(x)=\dfrac{4x(x-9)}{x-9}[/tex]

Let f(x) = 0:

[tex]0=\dfrac{4x(x-9)}{x-9}[/tex]

In this case, either x or (x-9) is equal to zero, as they are the two terms being multiplied in the numerator to get 0 as a product.

This makes the x-intercepts of this function 0 and 9.

However, the denominator in this function is x - 9. If x = 9, then it would make the denominator 0, which is not allowed. Therefore, x cannot equal 9, and the only x-intercept is 0.

Answer

x = 0

Assessing the regression model on data other than the sample data that was used to generate the model is known as _____. Group of answer choices approximation cross-validation graphical validation postulation

Answers

Assessing the regression model on data other than the sample data that was used to generate the model is known as cross-validation

How to complete the blank?

From the question, we have the following highlights:

Sample data, not usedThe model is a regression model

When the sample data is not used in a regression model, then the term is known as cross-validation.

Hence, the term that completes blank is cross-validation

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what is the system of equations shown in the graph?

Answers

A

The red line goes through the y axes at -2 and goes right 2 and up 1 (1/2)

Same for the blue like it goes through -1/2 and it goes right 1/2 and up 1/2 since it is Sean as X

A bacteria culture starts with 160 bacteria and grows at a rate proportional to its size. After 5 hours
there will be 800 bacteria.

Answers

The population after t hours is 160 x (1.3797)^t.

What is the population after t hours?

The first step is to determine the growth rate of the bacteria:

growth rate = (future population / initial population) ^(1/number of years) - 1

(800 / 160)^(1/5) - 1= 37.97

The exponential function : 160 x (1.3797)^t

Here is the complete question:

A bacteria culture starts with 160 bacteria and grows at a rate proportional to its size. After 5 hours

there will be 800 bacteria. Express the population after t hours as a function of t. population:

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what is the measure of

Answers

Answer:

C. Ф = 4 radians

Step-by-step explanation:

Given,

Radius of the Circle (r) = 3cm

Length of the Arc (S) = 12cm

In any circle of radius r, the arc length S to the circumference equals the ratio of the angle θ subtended by the arc at the centre and the angle in one revolution. Thus, measuring the angles in radians, S=rθ.

Therefore, S = r*Ф

12 = 3*Ф

Hence, Ф = 4 radians

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25:50=4x:8. What is the value of X​

Answers

Answer: X = 1

Step-by-step explanation:

25/50 = 4x/8

First, multiply both sides by 8, therefore, the 8 on the right side will be canceled out.

25*8/50 = 4x*8/8

25*8/50 = 4x

25*8 = 200

200 divided by 50 = 4

4 = 4x

After that, you just need to divide 4 on both sides, therefore, the 4 on the right side will cancel out.

4/4 = 4x/4

1 = x

X = 1

Hope I helped! :]

What is the radius for a circle whose equation is +=367
O A 18
OB. 1296
O C. 6
O D. 36

Answers

You are correct the answer is a:18
The answer is 18 correct


Can someone help me please

Answers

Answer:  Choice A)   -3/2

===========================================================

Explanation:

Focus on the endpoints (0,15) and (10,0). They are the y and x intercepts in that order. This is the starting point and ending point of the ball.

The average rate of change is the slope of the line connecting these endpoints. This is when we consider the entire time the ball is in the air.

Let's use the slope formula to get the following:

[tex](x_1,y_1) = (0,15) \text{ and } (x_2,y_2) = (10,0)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{0 - 15}{10 - 0}\\\\m = \frac{-15}{10}\\\\m = -\frac{3}{2}\\\\[/tex]

The slope is -3/2, which is the average rate of change.

It tells us that the height is decreasing by 3/2 = 1.5 meters per second, which is an average speed.

In other words, the ball is going downward at an average speed of 1.5 meters per second.

Keep in mind the instantaneous speed of the ball is changing all the time. The result of -3/2 = -1.5 only applies to the average speed.

------------

Note how the slope formula involves computing the change in y (which was us computing [tex]y_{2} - y_{1} = 0 - 15 = -15[/tex]. It indicates the ball had gone down 15 meters when going from the start point to the ending point. This is the change in distance. The change in time is the [tex]x_{2} - x_{1} = 10-0 = 10[/tex] portion, meaning the duration is 10 seconds.

In short,

slope = rise/run

slope = (change in distance)/(change in time)

slope = (-15)/(10)

slope = -3/2

So this may be a better way to see what's going on rather than rely on a formula in the previous section.

Add.

(3+x3+3x2)+(2x3−2−4x2)



Express the answer in standard form.

Enter your answer in the box.

Answers

Step-by-step explanation:

(3+3+3*2)+(2*3-2-4*2)

The value of the addition of the two polynomials is 3x³ - x² + 1.

What is addition of polynomial?

The addition of polynomials involves combining like terms of two or more polynomials to create a new polynomial. A polynomial is an expression consisting of variables, coefficients, and exponents, connected by addition and subtraction operations.

To add the given polynomials:

(3 + x³ + 3x²) + (2x³ - 2 - 4x²)

First, let's group the like terms:

(x³ + 2x³) + (3x² - 4x²) + (3 - 2)

Combine the coefficients of the like terms:

3x³ + 3x² - 4x² + 3 - 2

Simplify the expression:

3x³ - x² + 1

Therefore, the sum of the given polynomials is: 3x³ - x² + 1.

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Jamaal knows that it is certain that he will win the election because he is the only person who is running for class treasurer. Which value represents the probability that he will win the election?

Answers

Answer:

1

Step-by-step explanation:

since there is no other opponent he is sure to get the position hence the probability is maximum

∠C, ∠F are rt. ∠'s; AB = DE; BC = EF

Answers

abt=de yeah hope it helps

what is the area of stuvwx in the parallelogram below?

Answers

Answer:

fuz what hhde you ha thewebsite and it

Triangle AA'B'C' is the image of AABC under a dilation.

Answers

The scale factor is 3

show that the radius of B is 2.5cm

Answers

Answer:

how?

Please Attach Figure so someone can Solve...

Step-by-step explanation:

John is 36 years old now. 1/4 of his age is equal to 1/3 of sam's age. find their total age in 5 years time

Answers

Answer:

John = 41 years

Sam = 32 years

Step-by-step explanation:

What is the distance between the tick marks on the number line?

A number line going from 0 to 2 in increments of 1. There are 5 equals spaces between each number.
One-fifth
One-fourth
4
5
Mark this and return

Answers

Answer:

1/5

Step-by-step explanation:

2 units divided into 5 marks each = 10 marks

2/10 = 1/5 unit each mark

1/5
2 units of divided into 5 marks each =10 marks
2/10=1/5 marks

Which formulas could you use to find the volume of a right circular
cone?
OA) V = B-h where B = I-w
OB) V=B-h where B=1r'
OC) V=B-h where B = Tr
OD) V=B-h where B=1-w

Answers

Answer:

The formula for the volume of a cone is V=1/3hπr².

Consider an investment of $6000 that earns 4.5% interest


What is the value of the investment after
15 years if the interest is compounded
annually?

Answers

Answer:

$11,611.69

Step-by-step explanation:

Compound Interest Formula

[tex]\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}[/tex]

where:

A = final amountP = principal amountr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsed

Given:

P = $6,000r = 4.5% = 0.045n = 1 (annually)t = 15 years

Substitute the given values into the formula and solve for A:

[tex]\implies \sf A=6000\left(1+\frac{0.045}{1}\right)^{(1 \times 15)}[/tex]

[tex]\implies \sf A=6000(1.045)^{15}[/tex]

[tex]\implies \sf A=11611.69466...[/tex]

Therefore, the value of the investment after 15 years will be $11,611.69 to the nearest cent.

Absolute value of (0, -4/5)

Answers

To answer this question, we need to know what absolute value is in the first place. ANSWERS ARE AT THE BOTTOM.

Absolute value represents how far something is from 0 in a number line.

For example, lets take 4.

4 is 4 units away from 0 on the number line, so the absolute value of 4 is 4.

Now lets look at another example, -4. -4 is also 4 units away from 0, just in the other direction. However, when calculating absolute value, we do not care about the direction. Therfore, the absolute value of -4 is also 4.

Now let's look at your problem.

You want the absolute value of 0 and -4/5

Following the same principle above about the distance from 0, here are your answers:

Absolute value of 0: 0

Absolute value of -4/5: 4/5

2
A B
-10-9-8
5
Point A
Point B
Point C
Point D
6
ch point on the number line represents the product (-4)(-2)(-1)?
8
012
9
10
C D
5 6 7 8 9 10
59:3

Answers

We can actually deduce here that the point on the number line that represents the product (-4)(-2)(-1): -8.

What is number line?

Number line is actually known to be a horizontal or vertical line that is graduated with both negative and positive numbers. A number line is known to have both negative and positive numbers.

We see here that if we multiply out the brackets, (-4)(-2)(-1) = (8)(-1) = -8.

Thus, the answer is -8.

See attached image.

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Points A, B, and C, form a triangle. The distance between point A and point B is 15 yards. The distance between point B and point C is 25 yards. Pete walks directly from point A to point C, without passing through point B. What is the direct distance from A to C?



The direct distance from A to C is more than yards.

Answers

The direct distance form A to C is represented by the inequality

AC < 40 yards.

What is a Triangle ?

A triangle is a polygon with three sides , three vertices and three angles.

It is given that

Distance form point A to B is 15 yards

Distance form point B to C is 25 yards.

Distance AC = ?

In a Triangle the sum of two sides is always greater than the third side.

Therefore

AC < 15 +25

AC < 40 yards.

Therefore the direct distance form A to C is represented by the inequality AC < 40 yards.

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A competition to catch the most rainbow trout on Lake Rainbow pitched the men against the ladies. 16 men and 12 women participated. Each participant had a total of 15 attempts before they retired from the competition. It was predicted that the men would have a 9% chance of catching a rainbow trout at each attempt. One participant's experience resulted in 3 successful catches. The probability that this participant was a woman is 40%. Find the probability that a participant successfully catches 3 rainbow trout, given that the participant was a woman.

Answers

The probability that a participant successfully catches 3 rainbow trout, given that the participant was a woman is 0.0042.

P(woman) = 12/28

= 3/7

P(men) = 16/28

= 4/7

P(3 trouts) = P(3 trout | women)*P(woman) + P(3 trout | men)*P(man)

= P(3 trout | women)*(3/7) + (15C3 * (0.09^3)*(1-0.09)^(15*3))*(4/7)

= P(3 trout | women)*(3/7) + (0.00476)*(4/7)

P(woman | 3 trout) = P(3 trout | women)*P(woman) / P(3 trouts)

{P(3 trout | women) = p}

p*(3/7) / (p*(3/7) + (0.00476)*(4/7)) = 0.40

p*(3/7)/0.40 = (p*(3/7) + (0.00476)*(4/7))

p*((3/7)/0.40 - (3/7)) = (0.00476)*(4/7)

p = [(0.00476)*(4/7)] / [((3/7)/0.40 - (3/7))]

= 0.0042

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find the total surface area of this triangular prism 21cm 29cm 20cm 22cm

Answers

Answer:

[tex]\huge\boxed{SA=1960cm^2}[/tex]

Step-by-step explanation:

We have:

2 rectangular triangles with legs 20cm and 21cm3 different rectangles 20cm × 22cm, 21cm × 22cm and 29cm × 22cm

The formula of an area of

a rectangular triangle:

[tex]A_\triangle=\dfrac{a\cdot b}{2}[/tex]

a, b - legs

a rectangle a × b:

[tex]A_{\square}=a\cdot b[/tex]

Calculate:

Rectangular triangle

[tex]A_\triangle=\dfrac{20\cdot21}{2}=210(cm^2)[/tex]

Rectangles:

[tex]A_{\square1}=20\cdot22=440(cm^2)\\\\A_{\square2}=21\cdot22=462(cm^2)\\\\A_{\square3}=29\cdot22=638(cm^2)[/tex]

Total surface:

[tex]SA=2A_\triangle+A_{\square1}+A_{\square2}+A_{\square3}\\\\SA=2\cdot210+440+462+638=1960(cm^2)[/tex]

What number is the arrow pointing at?

Answers

Answer:

170

Step-by-step explanation:

each little mark is adding 20 to the 100 you see there and because the arrow is pointing somewhere in between two of the marks, it means it's just adding 10. Now you have to add 100 + the marks + 10

* remember you have three marks and each one of them is equal to 20 so when you add them, you get 60.

100 + 60 + 10 = 170

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