What is the distance between the points(-4,-1) and (-6,8) in simplest radical form.

Answers

Answer 1

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-4}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{-6}~,~\stackrel{y_2}{8})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[-6 - (-4)]^2 + [8 - (-1)]^2}\implies d=\sqrt{(-6+4)^2+(8+1)^2} \\\\\\ d=\sqrt{(-2)^2 + 9^2}\implies d=\sqrt{85}[/tex]


Related Questions

What is the reclusive rule for this geometric sequence? -64, -16, -4, -1

Answers

Answer:

See below ~

Step-by-step explanation:

Finding the common ratio (r)

Divide a term by the term precedes (follows) itr = -16/-64r = 1/4r = 0.25 [Blank 1 answer]

First term (a₁)

The first term in the sequence is the term from which the sequence startsa₁ = -64 [Blank 2 answer]

Please answer!!!!! What is the probability that the dart will NOT land in the shades region?

Answers

Answer:

The answer is 25% also twenty five percent

Tara is cutting construction paper into rectangles for a project. She needs to cut one rectangle that is 15 inches × 12
1
3
inches. She needs to cut another rectangle that is 10
1
2
inches by 10
1
3
inches. How many total square inches of construction paper does Tara need for her project

Answers

Answer:

280 Square Inches

Step-by-step explanation:

This problem is formatted quited weirdley, but Im giving my best hand forward to solve it.

We are given 2 rectangular fingures, and we need to figure out the total area Tara requires for her project.

When approaching these problems I preferably like to form equations.

Area of Rectangle 1 + Area of Rectangle 2 = Total Area

Now we plug in the values

(15x12) + (10x10) = T

180 + 100 = T
280 = T

Katie and her brother are both writing a report. Katie wrote 7/8 of her report. and her brother 3/7 of his report. What is the best estimate of how much more Katie wrote than her brother?

Answers

Answer:

Katie has successfully completed 7/8 of her report

HELP ME PLEASE!!

Find the length of segment SV.

A)
13/2
B)
26
C)
5.2
13
D)
V2

Answers

Applying the sine ratio, the length of segment SV (opposite side) in the right triangle is: D. 13/√2

What is the Sine Ratio?

The sine ratio is used to solve a right triangle which is, sin θ = opp/hyp.

Given the following:

SU = 13 (hypotenuse)

θ = 45

SV = ? (opposite)

Note: sine 45 = 1/√2

Applying the sine ratio, we have:

sin 45 = SV/13

SV = sin 45 × 13

SV = 1/√2 × 13

SV = 13/√2

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Which expression is equivalent to 6f+f?

Answers

Answer:

A

Step-by-step explanation:

This is because 6f+f is just 7f.

f f f f f f+f = fffffff

Soooo, ONLY A gives us 7f when added together again.

f+5f+f=7f.

f+ f f f f f +f = fffffff

Answer:

[tex]f + 5f + f[/tex] is equivalent to [tex]6f + f[/tex].

Step-by-step explanation:

You can plug in any numbers to both expressions and they will always have the same outcome.

For example, let's plug in 2.

[tex]6f + f\\6(2) + 2\\12 + 2 = 14[/tex]

[tex]f + 5f + f\\2 + 5(2) + 2\\2+10+2 = 14[/tex]

Hope this helps! :)

Functions pls help will give brainlest

Answers

Answer:

See below

Step-by-step explanation:

1)  put in  -6  where 'x' is to get     y = 7

2) There is only one value of 'y' for every value of 'x' <===function

3) Put in 2 where 'x' is to get  y = 20

4) Function

he figure shows a parallelogram inside a rectangle outline:

A parallelogram is shown within a rectangle. The length of the rectangle is 3 over 5 foot, and the width of the rectangle is 2 over 5 foot. The two equal bases of the triangles outside the parallelogram are labeled 1 over 5 foot.

What is the area of the parallelogram?
1 over 25 square foot
11 over 25 square foot
3 over 25 square foot
4 over 25 square foot

Answers

Answer:

4/25 foot²

Step-by-step explanation:

Refer to attachment*

Consider the attachment first for a better understanding, now after considering the attachment you will gotta know that, the height of the parallelogram is just same as the width of the rectangle i.e (2/5) foot and but for the base of the parallelogram we can subtract the base of one triangle from the length of the rectangle, so it will give us (3/5) - (1/25) = (2/5), so now we have breadth as well as height of the parallelogram, so now, as area of a parallelogram is given by it's height times it's base, so we will be having

[tex]{:\implies \quad \sf Area_{(Parallelogram)}=\dfrac{2}{5}\times \dfrac25}[/tex]

[tex]{:\implies \quad \boxed{\bf{Area_{(Parallelogram)}=\dfrac{4}{25}\:\: sq.\:\:foot}}}[/tex]

Hence, Option D) is correct

Well, we have another method for it, we can subtract the area of both the triangles from the area of rectangle, and now,as their base of the triangle is (1/5) foot and height is same as the width of rectangle i.e (2/5) foots, so its area will be (1/2) times base times height, but as here are two triangles, so multiplying the area of one triangle by 2 will vanish 2, so now we just have

[tex]{:\implies \quad \sf Area_{(Parallelogram)}=\bigg(\dfrac{2}{5}\times \dfrac{3}{5}\bigg)-\bigg(\dfrac{1}{5}\times \dfrac{2}{5}\bigg)}[/tex]

[tex]{:\implies \quad \sf Area_{(Parallelogram)}=\dfrac{6}{25}-\dfrac{2}{25}}[/tex]

[tex]{:\implies \quad \boxed{\bf{Area_{(Parallelogram)}=\dfrac{4}{25}\:\: sq.\:\:foot}}}[/tex]

This also, proves that the correct answer is D)

BRAINLIEST!!!!! FAST ANSWER

The coordinate grid shown
represents a map of a park. A
portion of the park is going to be
upgraded with new playground
equipment and flowers
Part A
The portion of the park that is to
receive upgrades has the
following coordinates:
Part B
How much area, in square yards, will receive upgrades?
Part C
How much area, in square yards, will have red flowers?
Select locations of points
• Point A (-4,4)
• Point B (3, 4)
• Point C (3,-2)
• Point D (-4,-2)
Use the Add Point and Connect
Line tools to create the rectangle
ABCD.

Answers

Answer:

Part B : 42

Part C : 7

Step-by-step explanation:

After putting in the coordinate points the width of the rectangle is 7 units and the length is 6 units. 7*6 =42. Half of this is the area of the triangle, that is 21. Further , 1/3 of 21 is the same as 21 divided by 3, which equals 7.

What is the difference in length between the girls with the shortest and longest hair

Answers

Answer:

I think the difference is girls with longer hair look more attractive.

Step-by-step explanation:

Need the diagram....

help pls i dont undestand it can you help thanks

Answers

3.8/24 is 0.1407

to get to a percentage you x100

so the answer is 14.07%


2. Jessica ate 45 m&m's in a competition against her classmates. Jessica ate 60% of
the total m&m's eaten. How many m&m's were eaten in the competition?

A. 24
B. 75
C.106
D.27

Answers

Answer:

B. 75

Step-by-step explanation:

Note that we can get the equation [tex]45 = 60\% \cdot x[/tex], where x is the total number of m&m's eaten. This becomes [tex]45 = \frac{60}{100}x \Rightarrow 45 = \frac{3}{5}x \Rightarrow x = 75[/tex]

Find the measure of angle geh

Answers

Answer:

Hello there buddy I’m here too help you with your homework

Your answer is

110°

Hope it’s helps you buddy

Have a nice day

Good luck with your homework

Step-by-step explanation:

~FluffyZaynBerry

Emanuel needs 6 lengths of ribbon, each 4 feet long, to make ribbon flowers How much ribbon does he need altogether? Please Help

Answers

Answer:

24 feet

Step-by-step explanation:

Given

Length of a ribbon = 4 feet

Solving

Length of 6 ribbons = Length of a ribbon x 64 feet x 624 feet

What is the unknown fraction?

three tenths plus blank equals sixty one hundredths

A. thirty one hundredths

B. fifty eight hundredths

C. sixty four hundredths

D. one hundred and twenty two hundredths

Answers

Answer:

A. 31/100

Step-by-step explanation:

Change 3/10 to hundreds:

3/10 × 10/10 = 30/100

The denominator (the bottom number) must be 100.

61 - 30 is 31.

The missing number is 31/100. See image.

Simplify. 24a7 -8a5 ​

Answers

Answer: 8a^5 (3a^2 - 1)

Step-by-step explanation:

I factored 8a^5 out of the 24a^7 - 8a^5

the difference between two numbers is 9. Find the numbers if their sum is 46

Answers

Answer:

[tex](\frac{55}{2} ,\frac{37}{2} )[/tex]

Step-by-step explanation:

We have to solve this system of equations in order to find the numbers :

Let x be greater number and y be the smaller one :

[tex]\begin{cases}x-y=9\ \ \ (1)&\\ x+y=46\ \ \ (2)&\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}y=x-9\ \ \ (1)&\\ 2x=9+46=55\ \ \ (1)+(2)&\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}y=\frac{55}{2} -9=\frac{37}{2} &\\ x=\frac{55}{2}&\end{cases}[/tex]

A basketball player shoots a free throw, where the position of the ball is modeled by x = (24cos 48°)t and y = 6.1 + (24sin 48°)t − 16t 2. What is the height of the ball, in feet, when it is 13 feet from the free throw line? Round to three decimal places.
I know how to do this but I keep getting a negative answer, is there an error with the question or am I just doing it wrong

Answers

Maybe ur just not seeing the negative comment on this and tell me which way u are solving it and then i can help.

The height of the ball is 10.053 approx. when it is 13 feet from the free throw line .

What is free throw?

The physics aspect of shooting a free throw involves distance and deviation. Distance is determined by two factors: launch angle and launch speed. Players have a choice between shooting for a larger target by using more arc or going for a shooter's touch and shooting with their ideal arc for their height.

According to the question

A basketball player shoots a free throw, where the position of the ball is modeled

x = (24cos 48°)t

y =  6.1 + (24sin 48°)t − [tex]16t^{2}[/tex]

now

13 feet from the free throw line

x = 13 feet (horizontal distance)

x = (24cos 48°)t

(24cos 48°)t = 13

t ≈ 0.8059

putting values in y to get the vertical height

y =  6.1 + (24sin 48°)t − [tex]16t^{2}[/tex]

y =  6.1 + (24sin 48°)*0.8059 − [tex]16*( 0.8059)^{2}[/tex]

y ≈ 10.053

Hence, the height of the ball is 10.053 approx.

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Find the tangents of the acute angles in the right triangle. Write each answer as a fraction.

tan J=

tan K=

Answers

Applying the tangent ratio, the tangents of the acute angles in the right triangle are:

tan J = 5/3

tan K = 3/5

What is the Tangent Ratio?

The tangent ratio is used to find the tangents of an angle in a right triangle, or any of the legs. It is given as tan ∅ = opposite/adjacent.

Applying the tangents ratio:

tan J = opp/adj = 5/3

tan K = opp/adj = 3/5

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Follow the rules to create two number sequences that go to the fifth term each. Rule 1: Multiply by 2 starting at 10. Rule 2: Subtract 4 starting from 24. What is the first term that appears in both sequences? (2 points) Group of answer choices 10 14 20 26

Answers

Answer:

Step-by-step explanation:

Created Sequences

S1: 10 20 40 80 150

s2:24 20

The first term that appears in both sequences is the second term. Both of them equal 20.

I don't think you have to go any further once you get the first term.

Method

S1: Multiply by 2 starting with 10.

10*2 = 20

20*2 = 40

S2: Start at 24 and subtract 4

24 - 4 = 20

20 - 4 = 16

16 - 4 =  12

Learn with an example
04
Watch a tutorial
Brooke has $7 in an account that earns 10% interest compounded annually.
To the nearest cent, how much will she have in 2 years?

Answers

Assuming that no transaction happens in her account for those 2 years, the amount that Brooke will have in 2 years for given case is $8.47

How to find the compound interest?

If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:

[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]

We're specified that:

Initial amount in bank of Brooke = p = $7Interest rate = r = 10% = 0.10 (in decimal form), compounding annually.Due to annual appliance of the interest, we have n = 1The time for which this compounding will be done is t = 2 years.

Thus, we get the final amount's value (after 2 years of compounding) for this case as :

[tex]a = p(1 + \dfrac{r}{n})^{nt}\\\\a = 7(1 + 0.10)^2 = 7 \times (1.1)^2 = 7 \times 1.21 = 8.47 \: (\rm in \: dollars)[/tex]

Thus, assuming that no transaction happens in her account for those 2 years, the amount that Brooke will have in 2 years for given case is $8.47

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Factor this expression

Answers

Answer:

6(3x−4y)

Step-by-step explanation:

Classify the pairs of angles shown. Then find the value of X in each figure

Answers

The value of x in each figure is 34°, 17.1° and 75° respectively.

What is an equation?

An equation is an expression used to show the relationship between two or more numbers and variables.

From the diagram:

1) x + 146°  = 180° (sum of angles in a straight line)

x = 34°

2) x + 62.9° = 90° (complementary angles)

x = 17.1°

3) x + 105°  = 180° (sum of angles in a straight line)

x = 75°

The value of x in each figure is 34°, 17.1° and 75° respectively.

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Find the probability of
1: choosing a yellow marble from a bag that contains 6 yellow marbles and 8 red marbles,
and
2: flipping a coin and it showing heads.
Write the probability as a fraction in simplest form.

Answers

1/3 is the answer to your problem

Andy has $100 in an account. The interest rate is 6% compounded annually.

Answers

The equation that represent the amount in the account after t years is A = 100(1.06)^t

Compound interest

This is an interest on an amount of money. The formula for calculating the compound interest is expressed as;

A = P(1 + r)^t

P is the principal = 100

r is the rate = 6% = 0.06

If the interest is compounded annually, the equation that represent the amount in the account after t years is given a:

A = 100(1+0.06)^t
A = 100(1.06)^t

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Answer:

112.36

Step-by-step explanation:

I took the test on IXL and this was the question.

Andy has $100 in an account. The interest rate is 6% compounded annually.

To the nearest cent, how much will he have in 2 years?

Which is the last operation when evaluating

Answers

subtraction [BODMAS 'S' comes last which means subtraction]

hope it helps...

Answer:

Subtraction

Step-by-step explanation:

What's 8 to the power of 4 divided by 8 to the power of 2 times 8 to the power of 3

Answers

Answer:

32768

Step-by-step explanation:

calculator. Brainly deleted my last answer when i did the step by step.

what is the equation of a circle with center at (3,-4) and radius of 3

Answers

Answer:

[tex]\displaystyle [x - 3]^2 + [y + 4]^2 = 9[/tex]

Explanation:

Accourding to one of the circle equations, [tex]\displaystyle [x - h]^2 + [y - k]^2 = r^2,[/tex]the centre of the circle is represented by [tex]\displaystyle [h, k].[/tex]Moreover, all negative symbols give you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must pay cloce attention to which term gets which symbol. Another thing you need to know is that the radius will ALWAYS be squared, so no matter how your equation comes about, make sure that the radius is squared.

I am joyous to assist you at any time.

Find the point at which the line f ( x ) = − 4 x − 2 intersects the line g ( x ) = − x − 2

Answers

Answer:

Step-by-step explanation:

f(x) = - 4x - 2

g(x) = - x - 2

y-intercept is common point for both equations ( 0 , - 2 )



simply the square roots without using decimals

Answers

Answer:

The answer to the question√3

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