Line AB contains points A(4, 5) and B(9,7). What is the slope of AB?

Answers

Answer 1

Answer:

2/5

Step-by-step explanation:

Since we have two points on the line, we can use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( 7-5)/(9 - 4)

   = 2/5


Related Questions

The ratio of Luke's age to Jack's age is 3:2. If Luke is 36, how old is Jack?

Answers

Answer:

Jack is 24

Step-by-step explanation:

Luke : jack

3            2

We know like is 36

3*12 = 36, so we need to multiply by 12

Luke : jack

3*12     2*12

36          24

Answer:

24

Step-by-step explanation

Notice that Luke's real age is 12 times the number in the ratio, which is a simplified version of the original ratio, where they used division by 12 on both sides to get 3:2. Just do the opposite of division, which is multiplication, and multiply both sides of the ratio to get 36:24, which means that Jack is 24 years old!

Hope this helped you!

C=(7,-4) and D= (-8,5) CD=?

Answers

Answer:

Step-by-step explanation:

[tex]x_{1}=7 \ ; y_{1} = -4\\\\x_{2} = -8 \ ; y_{2}=5\\\\CD = \sqrt{(-8-7)^{2}+(5-[-4])^{2}}\\\\=\sqrt{(-15)^{2}+(5+4)^{2}}\\\\=\sqrt{225+(9)^{2}}\\\\=\sqrt{225+81}\\\\=\sqrt{306}\\\\=\sqrt{3*3*2*17}\\\\=3\sqrt{34}[/tex]

Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}-(y_{2}-y_{1})^{2}}[/tex]

In ΔNOP, o = 64 inches, p = 83 inches and ∠N=168°. Find the area of ΔNOP, to the nearest square inch.

Answers

Answer:

552

Step-by-step explanation:

Area of a Triangle→S.A.S.

Area=1/2 ab sin C

area = 1/2 (64)(83) sin 168

area=552.213=552

If ΔNOP, o = 64 inches, p = 83 inches and ∠N=168°.Then area of ΔNOP is 552 square inch.

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

Given,

ΔNOP, o = 64 inches, p = 83 inches and ∠N=168°.

The length of two sides and an angle is given.

So we can use SAS postulate

The SAS postulate says that if two sides of one triangle and the angle included between them are congruent to two sides and the included angle of a second triangle, then the triangles are congruent.

Area of a Triangle

Area=1/2 absin C

area = 1/2 (64)(83) sin 168

area =2656 sin 168

area=552.213=552

Hence area of ΔNOP, to the nearest square inch is 552 square inch

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For the given corporate bond, whose annual simple interest rate is provided, find the
semiannual simple interest payment and the total interest earned over the life of the bond. As soon 365 days in a year.

$5200 company A, 30 year bond, 6.273%

Answers

Answer:

reagain and none that I know about the other day and none that I know that you are

Deposits into a bank account are represented by positive numbers. Withdrawals from the
account are represented by negative numbers. Which amount represents a withdrawal of
less than $200 ?
$150
$-250
$250
$-150

Answers

[tex] \red{answer}[/tex]

$-150

Wat is the slope of the line that passes through the points 3,1) and (-2,5)

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]m=\boxed{-\frac{4}{5}}[/tex]

»»————- ★ ————-««  

Here’s why:  

We can use the slope formula to find the slope of the two points given.

⸻⸻⸻⸻

[tex]\boxed{\text{Recall that the slope formula is:}}\\\\\frac{y_2-y_1}{x_2-x_1}\\\\(x_1,y_1), (x_2,y_2)-\text{Points}[/tex]

⸻⸻⸻⸻

[tex]\boxed{\text{Finding the Slope:}}\\\\\rightarrow m=\frac{5-1}{-2-3} \\\\\rightarrow m=\frac{4}{-5}\\\\\rightarrow \boxed{m= -\frac{4}{5}}[/tex]

⸻⸻⸻⸻  

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Which phrase best describes f(x), graphed on the coordinate plane below?
A.f(x) is an odd function.
B. f(x) is an even function.
C. f(x) is both odd and even.
D. f(x) is neither odd nor even.

Answers

Answer:

D

Step-by-step explanation:

A cube has a side length of 5a^2b^4. What is the volume?​

Answers

Answer:

(5a²b^4)³

Step-by-step explanation:

Volume=length*breadth*height

∴Volume=5a²b^4*5a²b^4*5a²b^4

∴Volume of the cube=(5a²b^4)³

Hope it helps you!

Pls mark as Brainliest

solve for x. round to the nearest tenth if necessary

Answers

9514 1404 393

Answer:

  13.6

Step-by-step explanation:

The relevant trig relation is ...

  Sin = Opposite/Hypotenuse

  sin(29°) = 6.6/x

  x = 6.6/sin(29°) . . . . . . multiply by x/sin(29°)

  x ≈ 13.6

Answer:

X= 13.6

Step-by-step explanation:

hope it helps much

A manufacturer has determined that for every 1000 units it produces, 3 will be faulty. What is the probability that an order of 50 units will have one or more faulty units

Answers

Answer:

0.1393 = 13.93% probability that an order of 50 units will have one or more faulty units.

Step-by-step explanation:

Mean for a number of units, which means that the Poisson distribution is used to solve this question.

Poisson Distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

Mean:

3 defective for 1000, how many for 50?

3 - 1000

[tex]\mu[/tex] - 50

Applying cross multiplication:

[tex]\mu = \frac{3*50}{1000} = 0.15[/tex]

What is the probability that an order of 50 units will have one or more faulty units?

This is:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

In which

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-0.15}*(0.15)^{0}}{(0)!} = 0.8607[/tex]

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.8607 = 0.1393[/tex]

0.1393 = 13.93% probability that an order of 50 units will have one or more faulty units.

Which table represents a linear function?

Answers

Answer:

The third option

Step-by-step explanation:

The slope is a constant linear slope of 8

A different children's party cost £225.50 How many children were at the party?​

Answers

hi, I think you forgot to write a part of the problem, could you write the rest in the comments please. I would be happy to help you

What is the equation of the line that passes through the given point and is perpendicular to the given line?

Point: (1,1)
Line: y=1/5x+4/5

Answers

Step-by-step explanation:

Hey there!

The equation of a line which passes through the point (1,1) is (y-1) = m1 (x-1)...............(i) {using one point formula}

Also, another equation which is perpendicular to the line is y = 1/5 x + 4/5..........(ii)

Comparing equation (ii) with y= mx+c, we get;

Slope (m2) = 1/5.

Now, As per the condition of perpendicular lines,

m1*m2 = -1

or, m1 * 1/2 = -1

or, m1= -2

Therefore, m1 = -2.

Keeping the value of m1 in equation (i) we get;

y-1 = -2(x-1)

y-1 = -2x+1

or, y+2x-2= 0

Therefore, the required equation is 2x+y-2= 0.

Hope it helps!

r/7.1 = 4.2

what is r =​

Answers

Answer:

r =29.82

Step-by-step explanation:

r/7.1 = 4.2

Multiply each side by 7.1

r/7.1 *7.1 = 4.2*7.1

r =29.82

eleven more than the square of a number n added to the difference between the number and fifteen

Answers

Answer:

n^2 + 11 + (n - 15)

Step-by-step explanation:

eleven more than the square of a number n added to the difference between the number and fifteen

___ + 11

eleven more than the square of a number n added to the difference between the number and fifteen

n^2 + 11

eleven more than the square of a number n added to the difference between the number and fifteen

n^2 + 11 + (n - 15)

5/4 to the 3rd power

Answers

Answer:

1.953125 is the answer I believe

or 125/64

or 1 61/64

1 or 61/64

Hope that helped

What is the probability of choosing 2 red marbles and one black marble from a bag containing 7 black marbles, 8 red marbles & 10 blue marbles

Answers

Answer:

The probability would be 3/25

Given the following hydrogen ion concentration, determine if the solution
is acidic, basic, or neutral.

[H*] is 2.7 x 10-9 M

Answers

Answer:

The solution is basic.

Step-by-step explanation:

Applying,

pH = -log(H⁺)................. Equation 1

From the question,

Given: (H⁺) = 2.7×10⁻⁹ M

substitute these value into equation 1

pH = -log(2.7×10⁻⁹)

pH = 8.57 M.

pH scale

For acidity = 0-6

For neutrality = 7

For basicity = 8-14

From the above calculation,

The solution is basic.

what is the ratio of 54:27 it the simplest form ​

Answers

Answer:

21

Step-by-step explanation:

Answer:

2 : 1

Step-by-step explanation:

54:27

Divide each side by 27

54/27:27/27

2 : 1

Find the length of x, round too the nearest tenth

Answers

Answer:

Step-by-step explanation:

take 66 degree as reference angle

using sin rule

sin 66=opposite/hypotenuse

0.91=x/16

0.91*16=x

14.56=x

14.6=x (after converting it to nearst tenth)

What is the probability of flipping a coin 8 times and getting heads 2 times? Round your answer to the nearest tenth of a percent. O A. 27.3% O B. 10.9% O C. 21.9% O D. 3.1% SUBMIT​

Answers

Answer:

I have the same doubt so pls answer

Step-by-step explanation:

Answer: 10.9

Step-by-step explanation

Pls help, will mark brainliest!

Answers

Answer:

x=45

Step-by-step explanation:

this should be right

Find the missing side length, and enter your answer in the box below. If
necessary, round your answer to 2 decimal places.
12
16
Answer here

Answers

Pythagorean theorem. A^2+B^2=C^2.

So 12^2+16^2=c^2

144+256=c^2

400=c^2

square root of 400=c

So C=20

Hit the heart if it was helpful :D

Step-by-step explanation:

Write what you know

Pythagorean theorum

a^2 + b^2 = c^2

rearrange and solve for c

sqrt(a^2 + b^2) = c

plug and chug

Simplify the expression. 1−(sec2x−tan2x)

Answers

Answer: 1

1

(

s

e

c

2

1

t

a

n

2

)

Step-by-step explanation:

G varies inversely with the square
of H. When H is 4, G is 0.25.
Find the value of G when H is 0.3.

Answers

Answer:;4.4

Step-by-step explanation: Since it varies inversely we know G times H squared is equal to some constant, k. So we have G*H*H=k. We are told that when H=4, G=.25. Plugging this in, we have .25*4*4=k. This simplifies to 4=k. Our new equation is G*H*H=4. Now, we want to solve for G when H=.3. We plug it in. G*.3*.3=4 => G*.09=4. G=4/.09. This means G is approximately 44.4.

Answer:

G = 44.44

Step-by-step explanation:

Given the mathematical expression and data;

[tex] G = \frac {1}{H^{2}} [/tex]

H = 4 and G = 0.25

First of all, we would determine the constant of proportionality, k.

[tex] G = \frac {k}{H^{2}} [/tex]

Making k the subject of formula, we have;

k = GH²

Substituting the values, we have;

k = 0.25 * 4²

k = 0.25 * 16

k = 4

Next, we find the value of G when H = 0.3;

[tex] G = \frac {k}{H^{2}} [/tex]

[tex] G = \frac {4}{0.3^{2}} [/tex]

[tex] G = \frac {4}{0.09} [/tex]

G = 44.44

2 apples plus 2 apples

Answers

Answer:

4 apples

Step-by-step explanation:

2 + 2 = 4

Hope this helps!

Good Luck!

:)

If you can, please mark me bralinest

2 + 2 = 4

Answer = 4 apples

hope this helped :)

Which is the better buy?
1 lb of apples for $1.98 or
3 lb for $6.95

Answers

Answer:

lb of apples for $1.98

Let point C be the center of the circle below. What is the
approximate length of minor arc XZ? Answers are in inches.

NEED ANSWER ASAP please, check the picture

Answers

Answer:

8.58

Step-by-step explanation:

the length of minor arc XZ

= 82/360 × 2 × 3.14 × 6

= 8.58 in

Complete the statement. [Type your answer as a number.]

7 pounds × 16 ounces

Answers

Answer:

1792

Step-by-step explanation:

1 pound = 16 ounces

7 x 16 x 16

= 7 x 16^2

= 7 x 256

= 1792

Which point is the vertex for the graph of y= |x| + 2?
A. (0,0)
B. (0,1)
C. (0,-2)
D. (0,2)
E. (2,0)

Answers

The correct answer is vertex of the graph D. (0, 2).

To find the vertex of the graph of the function y = |x| + 2, we need to determine the point where the function reaches its minimum or maximum value.The graph of y = |x| is a V-shaped graph with the vertex at the origin (0, 0). When we add 2 to this function, the graph is shifted upward by 2 units.So, the vertex of the graph of y = |x| + 2 is at (0, 2).

Therefore, the correct answer is D. (0, 2).The function y = |x| + 2 represents a V-shaped graph, and the vertex of this graph occurs at the origin (0, 0). By adding 2 to the function, the graph is shifted upward by 2 units. Therefore, the vertex of the modified function y = |x| + 2 is found by shifting the original vertex (0, 0) vertically by 2 units. This means the new vertex is located at (0, 2). This point represents the minimum value of the function, as it is the lowest point on the graph.

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