find the equation of the line that passes through point a and b

Find The Equation Of The Line That Passes Through Point A And B

Answers

Answer 1

Answer:

y=2x-1

Step-by-step explanation:


Related Questions

Point G is on line segment FH. Given FG = 7 and GH = 2, determine the length
FH.

Answers

If FG= 7 GH= 2 and the point G is on the line FH then FH = 2 + 7
So the length of FH = 9

Point G is on line segment FH. Given FG = 7 and GH = 2, the length of line segment FH is 9 units.

The length of line segment FH can be determined by adding the lengths of its two parts, FG and GH.

This is based on the property that the whole length of a line segment is equal to the sum of its parts.

Given that FG = 7 and GH = 2,

we can find the length of FH as follows:

FH = FG + GH

FH = 7 + 2

FH = 9

So, the length of line segment FH is 9 units.

This is a basic principle in geometry where the total length of a segment can be calculated by adding the lengths of its individual parts.

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A rectangular prism has a length of 20 meters, a height of 12 meters,
and a width of 12 meters. What is its volume, in cubic meters?

Answers

Answer:

2880 cubic meters.

Step-by-step explanation:

To find the area of a rectangular prism, multiply the length width and height.
20*12*12=144*20=2880

The volume of the Rectangular Prism is 2880 cubic meters.

What is Rectangular Prism?

Rectangular prism can be defined as a" 3-dimensional solid shape which has six faces that are rectangles. A rectangular prism is also a cuboid".

According to the question,

Length of the rectangular prism = 20 meters

Height of the rectangular prism = 12 meters

Width of the rectangular prism = 12 meters

Formula for Rectangular Prism = length × breadth × height

= 20 × 12 × 12

= 2880 cubic meters.

Hence, the volume of the Rectangular Prism is 2880 cubic meters.

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Arun and Benny started saving at the same time. Each day, Arun
saved $1.20 and Benny saved $0.30 more than Arun. How much would
Arun have saved if Benny saved $11.40 more than Arun?

Answers

Answer:

$45.60 would be what Arun would have saved.

Drag each expression to its equivalent.

Answers

Answer:

5x+4=2x+3-x+1+4x

7x=3+2x+4+5x-7

2x+3=8+10x-8x-5

2x+3-x+1+4x = 5x+4  and 7x-5-2x+9 = 5x +4

3+2x+4+5x-7 = 7x and  x-1+2x+2+4x-1 = 7x

3+2x+4+5x-7 = 7x and x+6-2x-3=2x+3

These are the equivalent expressions.

What is an expression?

It is a sentence with a minimum of two numbers or variables and at least one math operation.

Given expression can be solved like:

1. 2x+3-x+1+4x = 5x+4

Which is same as the first option.

2. 7x-5-2x+9 = 5x +4

Which is same as the first option.

3. 8+10x-8x-5 = 2x+3

Which is same as the third option.

4. 3+2x+4+5x-7 = 7x

Which is same as the second option.

5. x-1+2x+2+4x-1 = 7x

Which is same as the second option.  

6. 4x+6-2x-3=2x+3

Which is same as the third option.

Hence, the equivalent options are :

2x+3-x+1+4x = 5x+4  and 7x-5-2x+9 = 5x +4

3+2x+4+5x-7 = 7x and  x-1+2x+2+4x-1 = 7x

3+2x+4+5x-7 = 7x and x+6-2x-3=2x+3

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Help picture below problem 11

Answers

The sum of all the angles of any triangle is 180 degrees

     -->  Therefore the missing angle is:

                  x = 180 - 60 - 75 = 45

Hope that helps!

The sum of the angles of a triangle is 180 degrees

   --> to put that into mathematical terms

               

                       Angle O + Angle K + Angle C = 180

                                 60 + 75 + Angle C = 180

                                         Angle C = 45 degrees

Therefore the missing angles' measure is 45 degrees

Hope that helps!

Enter the number of rows needed and the number of seats that will be left over.

Answers

Answer: 6.

Step-by-step explanation: The total number of seats is 328.  There are 14 rows with 23 seats in each row.  To solve this, we need to multiply the amount of rows with the amount of seats in each row, which would look like this:

14 x 23 = 322.

As you can see, there are only 322 seats.  However, there are 328 seats in total, so there are 6 extra seats that aren't in a specific row.  Therefore, there are 6 extra seats.

Hope this helps! :)

Determine whether the following statement is true or false. If false, provide a counterexample. If two events are independent, then the probability of both events is less than 1

Answers

Answer:

TRue

Step-by-step explanation:

Question 3 of 5
The cylindrical part of an architectural column has a height of 295 cm and a
diameter of 30 cm. Find the volume of the cylindrical part of the column. Use
3.14 for it and round your answer to the nearest cubic centimeter if needed.
30 cm
-I
295 cm
O A. 833,670 cm3
OB. 208,418 cm
O C. 27,789 cm3
O D. 29,217 cm

Answers

The answer is B.208,418cm

Sonya took out a mortgage of $65,000 at 7% for 25 years. What is the cost of the mortgage?

Answers

The cost of the mortgage is $81250

What are interests?


Interests are percentages of a principal

Given the following parameters

Principal = $65000

Rate = 7% = 0.07
Time = 5 years

Calculate the interest

I = PRT/100
I = 65000*0.07*25
I = 16,250

Determine the cost of the mortgage

Cost of mortgage = Principal + Interest

Cost of mortgage = 65000 + 16250
Cost of mortgage = 81,250

Hence the cost of the mortgage is $81250

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Answer:

$72,823

Step-by-step explanation:

just took test

The Pythagorean theorem states that a² + b² = c² for a right triangle with leg lengths, a and b, and hypotenuse length, c.

The hypotenuse of a right triangle is 5 units long and has the points (3, 0) and (0, 4) as end points. One of the legs has length 3.

Use the Point and Segment tools to draw a right triangle at demonstrates the other leg length is 4.

Answers

Answer:

Step-by-step explanation:

Draw the third point at (0, 0). This would make the distance from (3,0) to (0,0) equal to 3, and the distance from (0,4) to (0,0) be 4.

Solve each of the following equations. Show its solution set on a number line. Check your answers. 7m+4=1
PLS HELP WILL GIVE BRAINLIEST

Answers

M=-3/7


Subtract 4 from both sides 7m+4-4=1-4
7m=-3
Divide both sides by 7
7/7m =-3/7
M=-3/7

Answer:

x=-3/7;x=-5/7

Step-by-step explanation:

Which function should be used when evaluating the function at x = -1?
S -x2 + 8x if x < -1
p(x) =
*x? - 4 if x 2-1
O p (x) = {x? - 4
O p(x) = -x2 + 8x

Answers

WE WILL SOLVE THIS EQUATION USING PEMDAS.

PARENTHESES, EXPONENTS, MULTIPLICATION, ADDITION, AND SUBTRACTION.

In a survey of 1,372 office​ workers, 4.2​% said that they do not make personal phone calls. Find the actual number of respondents corresponding to the given percentage.

Answers

The actual number of respondents corresponding to the given percentage is 57.

What do percentages mean?

Percentage is the fraction of an amount expressed as a number out of 100. The sign used to rerepresnt percentages is %. Percentages are a measure of frequency.

What is the number of respondents?

4.2% x 1372 = 57

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Jerry poured water to a height of 1 feet into a
new aquarium with dimensions shown below.
2 ft.
1 ft.
Water
2
3 ft.
One cubic foot of water weighs approximately
62 pounds. What is the weight of the water that
Jerry put in the aquarium?
B. 465 pounds
A. 403 pounds
C. 558 pounds
D. 744 pounds

Answers

Since 1 cubic feet = 62 pounds, the weight of the water that Jerry put in the aquarium is 558 pounds

How to calculate the volume/weight of water

We have to find the volume of water in the aquarium.

Recall the shape of the aquarium is a rectangular prism. Therefore,

volume = lwh

where

l = lengthw = widthh  = height

Therefore,

l = 3 ft

w = 2 ft

h = 1.5 ft

volume =  3 × 2 × 1.5

volume of water = 9 ft³

Therefore,

1 ft³= 62 pounds

9 ft³ = ?

cross multiply

weight of water = 9 × 62

weight of water = 558 pounds

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Pharmaceutical scientists tested the effectiveness of a new drug designed to cure malaria. They randomly
assigned 400 infected lab rats to receive either the new drug or an existing drug and recorded how many
rats were cured at the end of the study. Here are their results:
Cured
Not
Total
New drug
176
24
200
Existing drug
168
32
200
They want to use these results to construct a 99% confidence interval to estimate the difference in the
proportion of these rats that would be cured under each drug (new - existing). Assume that all of the
conditions for inference have been met.
Which of the following is a correct 99% confidence interval based on their data?
Choose 1 answer:
8 +0.068

Answers

Using the z-distribution, as we are working with a proportion, it is found that the 99% confidence interval is (-0.049, 0.129).

What is the mean and the standard error for the distribution of differences?

For each sample, we have that:

[tex]p_N = \frac{176}{200} = 0.88, s_N = \sqrt{\frac{0.88(0.12)}{200}} = 0.023[/tex]

[tex]p_E = \frac{168}{200} = 0.84, s_E = \sqrt{\frac{0.84(0.16)}{200}} = 0.0259[/tex]

Hence, for the distribution of differences, the mean and the standard error are given as follows:

[tex]p = p_N - p_E = 0.88 - 0.84 = 0.04[/tex]

[tex]s = \sqrt{s_N^2 + s_E^2} = \sqrt{0.023^2 + 0.0259^2} = 0.0346[/tex]

What is the confidence interval?

It is given by:

[tex]p \pm zs[/tex]

99% confidence level, hence[tex]\alpha = 0.99[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so the critical value is z = 2.575.

Then:

[tex]p - zs = 0.04 - 2.575(0.0346) = -0.049[/tex]

[tex]p + zs = 0.04 + 2.575(0.0346) = 0.129[/tex]

The 99% confidence interval is (-0.049, 0.129).

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Answer: 0.04, 0.089

Step-by-step explanation:

How do you put 2hundreds 9tens 18ones in standard form

Answers

Answer:

308

Step-by-step explanation:

200+90+18=200+108=308

three hundred seven

or

307

Step-by-step explanation:

I can't remember which is standard form. But hope it helps.

find the equation (in the terms of x) of the line through the points (-2,-5) and (5,0)

Answers

Answer:

-5x+7y+25=0

Step-by-step explanation:

vecto AB= (7;5)

vecto n = (-5;7)

line through the points (-2;5) and (5;0) :

-5*(x+2)+7*(y+5)=0

-5x+7y+25=0

= 1 2 + (2 + tan 1 2 ) where and are constants. Show that (1 + ) ²y/dy²=y

Answers

Answer:

Step-by-step explanation:

The zoo has 14 penguins. There are 6 more penguins than lions. How many lions are at the zoo?

Answers

Answer:

8 lions

Step-by-step explanation:

We need to subtract!!

14 - 6 = 8

Have an amazing day!!

Please rate and mark brainliest!!

Step-by-step explanation:

let the number of penguins be X and the number of lions be Y. then X=14 and since there are more penguins than lions the equation will be X=Y+6

Substitute 14 instead of X. 14=Y+6

and now shift 6 to the left 14-6=Y

then the answer should be 8lions

Gizmo eats 3 crickets per day. If there are 15 crickets in a container, what is the maximum number of days Ms. Evans can go before buying replacement crickets.

Answers

5 days!
3 times 5 is 15

Find the volume of the
following triangular prism.

height: 2cm
length: 5cm
width: 3.5cm

A. 17.5cm3
B. 35cm3
C. 42.5cm3
D. 45cm3

Answers

Most likely it’s A because we’re talking about the volume here

Quite urgent lol but should probably be quick I guess :(

Answers

Answer:

(a) [tex]y=x^2-2x-8[/tex]

(b) [tex]y= -\dfrac12x^2+4x-6[/tex]

Step-by-step explanation:

(a)  From inspection of the graph, the x-intercepts (where [tex]y = 0[/tex]) are at

[tex]x = -2[/tex] and [tex]x =4[/tex].

Therefore [tex]y = a(x + 2)(x - 4)[/tex]   where [tex]a[/tex] is some constant

The y-intercept is at (0, -8)

Expanding the equation:

[tex]y = a(x + 2)(x - 4)[/tex]

[tex]\implies y = a(x^2-4x+2x-8)[/tex]

[tex]\implies y= ax^2-2ax-8a[/tex]

Therefore, -8a is the y-intercept

Comparing y-intercepts:  -8 = -8a  ⇒  a = 1

Substituting a = 1, the final equation in standard form is:

[tex]y=x^2-2x-8[/tex]

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

(b)  From inspection of the graph, the x-intercepts (where [tex]y = 0[/tex]) are at

[tex]x = 2[/tex] and [tex]x =6[/tex].

Therefore [tex]y = a(x -2)(x - 6)[/tex]   where [tex]a[/tex] is some constant

The y-intercept is at (0, -6)

Expanding the equation:

[tex]y = a(x -2)(x - 6)[/tex]

[tex]\implies y = a(x^2-6x-2x+12)[/tex]

[tex]\implies y= ax^2-8ax+12a[/tex]

Therefore, 12a is the y-intercept

Comparing y-intercepts:

[tex]-6 = 12a \implies a = -\dfrac12[/tex]

Substituting found value of a into the equation:

[tex]\implies y= (-\dfrac12)x^2-8(-\dfrac12)x+12(-\dfrac12)[/tex]

[tex]\implies y= -\dfrac12x^2+4x-6[/tex]

y = a(x-h)²+k where (h,k) denotes the vertex

Q.1)

vertex: (1, -9) where h=1, k = -9

coordinates: (0, -8) where x = 0, y = -8

find for a:

y = a(x-h)²+k

-8 = a(0-1)²-9

-8 = a -9

a = 1

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

equation: y = (x-1)²-9

Q.2)

vertex: (4, 2) where h=4, k = 2

coordinates: (2, 0) where x = 2, y = 0

find for a:

y = a(x-h)²+k

0 = a(2-4)²+2

-2 = 4(a)

a = -1/2

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

equation: y = -1/2(x-4)²+2

The number 2 is a factor of _________.

A) all odd numbers

B) all even numbers

C) all whole numbers

Answers

the number 2 is a factor of all even numbers (b)

hello!

2 is a factor of all even numbers (numbers that end with 2, 4, 6, 8, 0)

Option A) is wrong because 1, 3, 5, 7, 9 & numbers that end with the digits listed above are not evenly divisible by 2; this is the reason why Option C) is wrong.

In order for a digit/number to be a factor of a number, it should be evenly divisible by that number.

note:-

Hope everything is clear; if you need any more explanation/clarification, kindly let me know, and I will comment and/or edit my answer. :)

Irwin rode his bicycle from one end of a trail to another and back at a speed of 20 miles per hour. If the trail is 4 miles long, for how many hours was Irwin riding?

Answers

Answer:

it’s C. 2.5

Step-by-step explanation:

Bottles of water are packaged with
24 bottles per case. A store has
365 cases to sell. How many bottles
of water does the store have to sell?

Answers

Step-by-step explanation:

1 case = 24 bottles

365 cases = 365×24 = 8,760 bottles

AA culture started with 4000 bacteria. after 5 hours it grew to 4800 bacteria. Predict how many bacteria will be present after 15 hours. Round your answer to the nearest whole number. p=ae^kt

Answers

Answer:

p = 6912 after 15 hoursp = 4000·e^(0.036463t)

Step-by-step explanation:

We want to model the growth of a population of bacteria using an exponential function. We find it convenient to use an "exact" exponential function that relies directly on the numbers given in the problem statement. That function has the form ...

  p(t) = (initial population) × (growth factor)^(t/(growth period))

where the "growth factor" is the multiplying factor of the population in period "growth period."

__

Exponential Function (1)

Here, the "growth factor" is 4800/4000 = 1.2, and the corresponding "growth period" is 5 hours. Then the population function can be ...

  p(t) = 4000×1.2^(t/5)

__

Population

The population after 15 hours is ...

  p(15) = 4000×1.2^(15/3) = 4000×1.728

  p(15) = 6912

__

Exponential Function (2)

To change this to the form ae^(kt), we find the value of k to be ...

  k = ln(1.2^(1/5)) = ln(1.2)/5 ≈ 0.036463

Then the desired form of the function for p is ...

  p(t) = 4000·e^(0.036463t)

_____

Additional comment

In the form p=ae^(kt) the value of k is often rounded to 3 or 4 decimal places. We believe that best accuracy is obtained if k has at least the number of significant digits expected in the answer. Here, the population of almost 7000 has 4 significant digits, so we choose to express k to 5 significant figures. That still gives a small error relative to the first formula that is only "corrected" by rounding the result to an integer.

Choose an appropriate metric unit for the mass of bowling ball
A)
kilogram
B)
milligram
C)
meter
D)
gram

Answers

Answer:

i think that the correct answer would  A

Step-by-step explanation:

hope this helps

Q. 1. Solve for x using determinants, x + y = 9, x - y + 3z = 2 and 4y - 32 - 5 = 0.​

Answers

Hello!

x + y = 9,

x=  9-y

x - y + 3z = 2

x= 2+y -3z

4y - 32 - 5 = 0.​

4y = 32+5

4y = 37

y = 37/4

linear exponential function

y=5.3×​

Answers

Answer:

y=5x

which means 3 will be dedicated to 5

so 5=3y

Choose the set of numbers with an average of 9.
A) 3, 5, 7, 8, 12
B) 2, 3, 6, 13, 16
C) 2, 4, 8, 11, 20

Answers

Answer:

C. 2, 4, 8, 11, 20.

Step-by-step explanation:

Solution,

Add all the number by numbers together = 45 . Dividing the sum with the total number added together = 45/5 = 9.

Answer:

Step-by-step explanation:

c

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