HELP ASAP
What is the distance, in units, between the points [tex](-3, -4)[/tex] and [tex](4, -5)[/tex]? Express your answer in simplest radical form.

Answers

Answer 1

Answer:

d=5√2 unit

Step-by-step explanation:

distance between two points d=√(x2-x1)²+(y2-y1)²

two pints (-3,-4) and (4,-5)

d=√(4-(-3)²+(-5-(-4)²

d=√(4+3)²+(-5+4)²

d=√49+1

d=√50

d=√25*2

d=5√2

Answer 2

Answer

[tex] \boxed{5 \sqrt{2} \: \: \:units}[/tex]

Step by step explanation

Let the points be A and B

A ( - 3 , - 4 ) ⇒( x₁ , y₁ )

B ( 4 , - 5 )⇒( x₂ , y₂ )

Now, let's find the distance between these points :

Distance = [tex] \mathsf{ \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }[/tex]

Plug the values

⇒[tex] \mathsf{ \sqrt{ {(4 - ( - 3))}^{2} + {( - 5 - ( - 4))}^{2} } }[/tex]

Calculate

⇒[tex] \mathsf{ \sqrt{ {(4 + 3)}^{2} + {( - 5 + 4)}^{2} } }[/tex]

⇒[tex] \mathsf{ \sqrt{ {(7)}^{2} + {( - 1)}^{2} } }[/tex]

Evaluate the power

⇒[tex] \mathsf{ \sqrt{49 + 1} }[/tex]

Add the numbers

⇒[tex] \mathsf{ \sqrt{50} }[/tex]

Simplify the radical expression

⇒[tex] \mathsf{5 \sqrt{2} \: \: units}[/tex]

Hope I helped!

Best regards!!


Related Questions

what is the change in each term of the sequence? 0.8, 1, 1.2, 1.4, 1.6​

Answers

Begin by studying the pattern.

Notice that the difference between 0.8 and 1 is 0.2.

In other words, 0.8 + 0.2 is 1.

In the same way, 1 + 0.2 is 1.2.

1.2 + 0.2 is 1.4 and 1.4 + 0.2 is 1.6.

So we can see that the difference

between each of the terms is 0.2.

Answer:

+.2

Step-by-step explanation:

To find the common difference, take the second term and subtract the first term

1 - .8 = .2

Check by subtracting the second term from the third term

1.2 - 1 = .2

The common difference is .2

n urn contains 3 red balls, 9 green, 2 yellow, 2 orange, and 4 purple balls. Two balls aredrawn, one at a time with replacement. Find the probability of drawing a green ball and an orangeball.

Answers

Answer:

[tex]\frac{9}{100}[/tex]

Step-by-step explanation:

Given:

Number of red balls, n(R) = 3

Number of green balls, n(G) = 9

Number of yellow balls, n(Y) = 2

Number of orange balls, n(O) = 2

Number of purple balls, n(P) = 4

Two balls are drawn one at a time with replacement.

To find:

Probability of drawing a green ball and an orange ball ?

Solution:

Total number of balls, n(Total) = 3 + 9 + 2 + 2 + 4 = 20

Formula for probability of an event E is given as:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

Probability that a green ball is drawn at first:

[tex]P(Green) = \dfrac{\text{Number of Green balls}}{\text {Total number of Balls}}[/tex]

[tex]P(Green) = \dfrac{9}{20}[/tex]

Now, the ball is replaced , so total number of balls remain the same i.e. 20.[tex]P(Orange) = \dfrac{\text{Number of Orange balls}}{\text {Total number of Balls}}[/tex]

[tex]P(Orange) = \dfrac{2}{20} = \dfrac{1}{10}[/tex]

[tex]P(Green\ then\ orange) = P(Green) \times P(Orange)\\\Rightarrow P(Green\ then\ orange) = \dfrac{9}{10} \times \dfrac{1}{10}\\\Rightarrow P(Green\ then\ orange) = \bold{ \dfrac{9}{100} }[/tex]

Subtract the matrices

Answers

Answer:

pleas learn subtraction

Step-by-step explanation:

so it can make you better in math

Answer:

[tex]\large \boxed{\mathrm{Option \ A}}[/tex]

Step-by-step explanation:

[tex]{\mathrm{view \ attachment}}[/tex]

3 friends Mary, Peter, John have 10 flowers. Mary has the most flowers, Peter has the least. Know that the number of John's flowers is double Peter's . How many flowers that Peter, John and Mary got? (Detail Solution pls) Thanks

Answers

Answer:

Mary has 7 flowers

Peter has 1 flower

John has 2 flowers

Step-by-step explanation:

M + P + J = 10

J = 2P

M + P + 2P = 10

M + 3P = 10

P = 1

M + 3 = 10

M = 7

Each serving of a pancake recipe calls for 1/4 cup of flour. How many servings can be made with 2 cups of flour?

Answers

Answer:

The correct answer is 8 servings of pancakes.

Step-by-step explanation:

If each serving of pancakes calls for 1/4 cup of flour, to find how many servings can be made with 2 cups of flour, we should divide 2 cups by 1/4 cup.

To do this, we can first convert 1/4 to a decimal by dividing the numerator by the denominator.  

1/4 = 0.25

Next, we can go ahead with the division.

2 / 0.25 = 8

Therefore, 8 servings of pancakes can be made with 2 cups of flour.

Hope this helps!

Determine what type of model best fits the given situation: The height of a tree increases by 2.5 feet each growing season.

Answers

Answer: Linear model

The fact the height increases the same amount each time indicates we have a linear model. The slope is the rate of growth, so it is 2.5 feet per season.

Keep in mind that the linear model only works for a specific interval and doesn't work forever (the tree can't grow forever and at the same rate). A more realistic scenario is that the tree's height grows quickly at first and then slows down over time. For this type of scenario we would use a logarithmic model.

The linear model best fits the given situation option (B) linear is correct.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

The height of a tree increases by 2.5 feet each growing season.

Let h is the height and s be the number of seasons.

The relation between h and s:

h = 2.5s

Thus, the linear model best fits the given situation option (B) linear is correct.

Learn more about the linear equation here:

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What is the volume of this rectangular prism?
2 cm
7/3 cm
2 cm

Answers

Answer
9.3
Explanation
I got it right

Answer:

28\3

Step-by-step explanation:

Which explanation can be used to derive the formula for the circumference of a circle? Will give brainliest!
A) Find the length of the diameter and double this length. Multiply this length by ​π​ and set equal the to the circumference. Substitute the diameter for 2 times radius.
B) Find the difference between the length of the circumference and diameter. Set up an equation showing the relationship of the circumference to diameter to the difference. Rearrange the equation to solve for the circumference. Substitute the diameter with 2 times the radius.
C) Find the ratio of the diameter to the area of the circle. Use this ratio to set up an equation to show this ratio equaling ​π​. Substitute the area with 3 times the circumference. Then rearrange the equation to equal to the circumference.
D) First find the relationship of the circumference to its diameter by finding that the length of the diameter wraps around the length of the circumference approximately ​π​ times. Use this relationship to write an equation showing the ratio of circumference to diameter equaling ​π​ . Then rearrange the equation to solve for the circumference. Substitute the diameter for 2 times the radius.

Answers

Answer:

D. First find the relationship of the circumference to its diameter by finding that the length of the diameter wraps around the length of the circumference approximately ​π​ times. Use this relationship to write an equation showing the ratio of circumference to diameter equaling ​π​ . Then rearrange the equation to solve for the circumference. Substitute the diameter for 2 times the radius.



Step-by-step explanation:

2x + 5 = 22.
how can I write it in a scenario?

Answers

Answer:

Alexis sold 22 lemon cups, 5 of the cups she sold were large and the rest were small, how many small cups did she sell?

The value of which of these expressions is closest to e?

Answers

Answer:

b

Step-by-step explanation:

Kelli swam upstream for some distance in one hour. She then swam downstream the same river for the same distance in only 6 minutes. If the river flows at 5 km/hr, how fast can Kelli swim in still water?

Answers

Answer:

6.11km/hr

Step-by-step explanation:

Let the speed that Kelli swims be represented by Y

Speed of the river = 5km/hr

Distance = Speed × Time

Kelli swam upstream for some distance in one hour

Swimming upstream takes a negative sign, hence:

1 hour ×( Y - 5) = Distance

Distance = Y - 5

She then swam downstream the same river for the same distance in only 6 minutes

Downstream takes a positive sign

Converting 6 minutes to hour =

60 minutes = 1 hour

6 minutes =

Cross Multiply

6/60 = 1/10 hour

Hence, Distance =

1/10 × (Y + 5)

= Y/10 + 1/2

Equating both equations we have:

Y - 5 = Y/10 + 1/2

Collect like terms

Y - Y/10 = 5 + 1/2

9Y/10 = 5 1/2

9Y/ 10 = 11/2

Cross Multiply

9Y × 2 = 10 × 11

18Y = 110

Y = 110/18

Y = 6.1111111111 km/hr

Therefore, Kelli's can swim as fast as 6.11km/hr still in the water.

PT.1     Kelli swam upstream for some distance in one hour. She then swam downstream the same river for the same distance in only 6 minutes. If the river flows at 5 km/hr, how fast can Kelli swim in still water?

Choose the most logical value for the variable to represent.

Let x = Kelli's swimming speed in still water

PT.2    Which expression represents the distance Kelli traveled upstream?

1(x – 5)

PT.3     Which expression represents the distance Kelli traveled downstream?

0.1(x + 5)

PT.4     Solve the equation x – 5 = 0.1(x + 5) for x. Round your answer to the nearest hundredth.  Kelli can swim about 6.11  km/hour.

10 points to the person who answers this whole thing and I will mark you as brainliest.

Answers

Answer:

Step-by-step explanation:

Perimeter is found by adding together all the lengths of the sides. For us, that is x + (2x + 5) + (6x - 17) + (3x + 2). Now we will just combine like terms. We can also drop the parenthesis because they do nothing for us and mean nothing to the problem.

x + 2x + 5 + 6x - 17 + 3x + 2 becomes

12x - 10

FWML is a parallelogram. Find the values of x and y. Solve for the value of z, if z=x−y.

Answers

Answer:

x = 5, y = 8, z = -3

Step-by-step explanation:

Opposite sides of a parallelogram are congruent so to find x:

x + 7 = 3x - 3

-2x = -10

x = 5

To find y:

y + 2 = 2y - 6

-y = -8

y = 8

Therefore, z = x - y = 5 - 8 = -3.

Which Mean Absolute Deviation represents more consistency? 15.2 or 10.9

Answers

Answer:

10.9

Step-by-step Explanation:

The Mean Absolute Deviation of a given data set tells us how far apart, on average, each data value is to the mean of the data set.

The smaller the Mean Absolute Deviation of a given data set is, the closer each data value is to the mean. This also implies less variability of the data set.

Invariably, the smaller the M.A.D, which connotes less variability, the more consistent the data set is.

Therefore, a M.A.D of 10.9 represents more consistency than a M.A.D of 15.2

Hi how do I solve this simultaneous equation

Answers

Answer:

for the first one find a common dinominator which is 6 because you multiplied 2 times 3 which is 6 you have to do the same for the top so 3 multiplyed by 3 is 9 than the same for the other side than for x

Step-by-step explanation:

25. Solve for x.
[tex] \frac{x}{20} = \frac{1}{5} [/tex]
HELP as fast as you can if possible plz. thank you.​

Answers

Answer:

x = 4

Step-by-step explanation:

x * 5 = 20 * 1

x = 4

Answer:

[tex]\boxed{x=4}[/tex]

Step-by-step explanation:

Hey there!

Well to solve for x we need to cross multiply,

x/20 = 1/5

5x = 20

Divide both sides by 5

x = 4

Hope this helps :)

What is negative sqrt 64?

Answers

Answer:

8i. In real numbers only, this isnt possible, but if immagenary numbers are allowed then 8i is your answer          

Find the rectangular coordinates of the point with the polar coordinates. ordered pair negative 7 comma 2 pi divided by 3

Answers

Answer:

The rectangular coordinates of the point with polar coordinates (7, 2·π/3) is (-3.5,  3.5·√3)

Step-by-step explanation:

The given polar coordinates is (7, 2·π/3)

Where, the 7 represent the distance, r, from the point of reference and 2·π/3, the angle, θ, from the reference point.

Polar coordinates are represented in rectangular form by the equivalence transformation equation given as follows;

The x-coordinate = Radius, r × cos(θ), which gives

We note that 2·π/3 radians = 2 × 180/3 = 120°

x = 7 × cos(2·π/3) = 7 × cos(120°) = 7 × (-0.5) = -3.5

x = -3.5

The y-coordinate = Radius, r × sin(θ), which gives

x = 7 × sin(2·π/3) = 7 × sin(120°) = 7 × (√3)/2 = 3.5·√3

y = 3.5·√3

Therefore, the rectangular coordinates of the point with polar coordinates (7, 2·π/3) is (-3.5, 3.5·√3).

please help on 30–31

Answers

Step-by-step explanation:

30-option c

because only crows r black in appearance

31-option d

thats the option which represents the question asked

HELP! URGENT!
Alice wrote three consecutive even numbers. The sum of these numbers was 252.

Pat wrote three consecutive odd numbers. Pat's numbers were larger than Alice's numbers.

The difference between the largest of Pat's numbers and the largest of Alice's numbers was 25.

What was the sum of Pat's numbers?

Answers

Answer:

333

Step-by-step explanation:

Let a represent Alice's numbers and p represent Pat's numbers.

Alice wrote three consecutive even numbers. The sum of the three is 252. This means:

[tex]a+(a+2)+(a+4)=252[/tex]

The first term is even. Each consecutive even term is two more than the previous term. Simplify:

[tex]3a+6=252\\3a=246\\a=84[/tex]

In other words, Alice's first number was 84.

Pat wrote three consecutive odd numbers. His numbers were larger than Alice's numbers. Similar to Alice, we can write:

[tex](p+1)+(p+3)+(p+5)=x[/tex]

The first term is odd. Each consecutive odd term will be 1 more, then 3 more, then 5, etc. We want to find Pat's sum, or x.

We are told that the difference between the largest of Pat's and Alice's  numbers is 25. Therefore:

[tex](p+5)-(a+4)=25[/tex]

Simplify. Substitute a. Solve for p:

[tex]p-a+1=25\\p-84=24\\p=108[/tex]

Therefore, Pat's sum is:

[tex](108+1)+(108+3)+(108+5)=333[/tex]

PLS ANSWER I WILL GIVE YOU BRAINLIST AND A THANK YOU!!

Answers

Answer:

x=45

Step-by-step explanation:

2x+45+x=180

Combine 2x and x to get 3x.

3x+45=180

Subtract 45 from both sides.

3x=180−45

Subtract 45 from 180 to get 135.

3x=135

Divide both sides by 3.

x=135/3

Divide 135 by 3

x=45

A blue print for a house has a scale of 1:10. A wall in the blueprint is 8in. What is the length of the actual wall?

6.67. inches
80 feet
969 feet
6.67 feet

Answers

Answer:

80 feet

Step-by-step explanation:

1 inch represents 10 feet

Then 8 inches represent = 8 × 10

= 80 feet

In March, Mateo ran 19 miles. In April, he ran twice as many miles as he ran in March. In May, he ran four times as many miles as he did in April. How many total miles did Mateo run in the three months? Enter your answer in the box.

Answers

Answer:

209

Step-by-step explanation:

march = 19 miles

april = 19 times 2 = 38

may = 38 times 4 = 152

so that'd be 19 + 38 + 152 = 209 miles in total.

209 miles Mateo ran in the three months.

What is Simplification?

Simplification in mathematical terms is a process to convert a long mathematical expression in simple and easy form.

Given that,

Mateo ran in March = 19 miles,

Also,

Mateo ran in April = 2 times of ran in March = 2 x 19 = 38 miles

Mateo ran in May = 4 times of ran in April = 4 x 38 = 152 miles.

Total distance ran by Mateo in all three months

= ran in March + ran in April + ran in May

= 19 + 38 + 152

= 209 miles.

Mateo ran 209 miles in all three months.

To know more about Simplification on :

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The product of 2 rational numbers is -16/9 . If one of the numbers is -4/3 find the other plz fast

Answers

Answer:

4/3

Step-by-step explanation:

let the other number be x.

-4/3 x=-16/9

x=-16/9×-3/4=4/3

Megan leaves her house at 4:15 to go soccer practice. It takes her 35 minutes to get there. Her practice is two hours long. Then, she drives home, which takes 40 minutes. What time does she get back home?

Answers

Answer:

7:35

Step-by-step explanation:

we take the 35 and 45 and add it together, then take out the 60 minutes and put that in as an hour. the practice is two hours long plus the hour we took out. then the remaining minutes are 20. we add 20 minutes and three hours

What is the rule for the transformation from triangle EFG to triangle E'F'G'?

Answers

Answer:

The rule of the transformation is 6 units up and 3 units to the right [tex]T_{(3, \ 6)}[/tex] and an horizontal dilation of 2 as well as a vertical dilation of 4.

Step-by-step explanation:

The given coordinates of EFG and E'F'G' from the chart are;

E(3, 2)

F(9, 5)

G(9, 2)

E'(6, 8)

F'(18, 20)

G'(18, 8)

Therefore, we have, given that the y-coordinates of E and G are the same, the length of segment EG = 9 - 3 = 6 units

Similarly, given that the x-coordinates of F and G are the same, the length of segment FG = 5 - 2 = 3 units

The length of segment FE =  [tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex] which gives;

Length from E(3, 2) to F(9, 5) = [tex]l = \sqrt{\left (5-2 \right )^{2}+\left (9-3 \right )^{2}} = 3 \cdot \sqrt{5}[/tex]

For similarly oriented E'F'G', we have;

E'G' = 18 - 6 = 12

F'G' = 20 - 8 = 12

E'F' = 12·√2

Therefore, the transformation is 6 units up and 3 units to the right and an horizontal dilation of 2 as well as a vertical dilation of 4.

How do I even start this? And how to i order the equation to solve

Answers

[tex]f(g(h(x)))=f(g(\sqrt x))=f(\sqrt x-1)=\boxed{(\sqrt x-1)^4+4}[/tex]

This is because

[tex]h(x)=\sqrt x[/tex]

[tex]g(x)=x-1[/tex]

[tex]\implies g(h(x))=\sqrt x-1[/tex]

(that is, replace any instance of x in the definition of g with √x )

and

[tex]f(x)=x^4+4[/tex]

[tex]\implies f(\sqrt x-1)=(\sqrt x-1)^4+4[/tex]

(replace any x in f with √x - 1)

Also acceptable:

[tex](\sqrt x-1)^4+4=((\sqrt x)^4-4(\sqrt x)^3+6(\sqrt x)^2-4\sqrt x+1)+4[/tex]

[tex]=\boxed{x^2-4x\sqrt x+6x-4\sqrt x+5}[/tex]

(assuming x is not negative)

Last year, there were 245 pies baked for the bake sale. This year, there were k pies baked . Using k, write an expression for the total number of pies baked in the two years.

Answers

Answer:

245 + k

Step-by-step explanation:

Since we know that,

245 = amt. of pies baked for the bake sale last year.

--> and k = (unknown) amt. of pies baked for the bake sale this year.

Using k, we need to write the total amt. of pies baked for bake sales in the 2 years.

last year + this year =>

respectively, 245 and k

Thus, we get 245 + k

I need help factoring this question, Factor 4(20) + 84.

Answers

Answer:

164

Step-by-step explanation:

B for brackets

O for of

D for division

M for multiplication

A for addition

S for subtraction

You first start with the brackets (20) and multiply with 4 which is equal to 80 and then add it to 84 which makes 164

I hope this helps

Please answer this question now

Answers

Answer:

1109.12

Step-by-step explanation:

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