Riko wants to find the distance between the points (−2, −3) and (2, −5). His work is shown. The distance is 8 units. Riko correct? Explain why or why not.

Riko Wants To Find The Distance Between The Points (2, 3) And (2, 5). His Work Is Shown. The Distance

Answers

Answer 1

Answer:

incorrect

Step-by-step explanation:

The calculation he has done only calculates the distance between the y- coordinates of the points.

Calculate the distance d using the distance formula.

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 2, - 3) and (x₂, y₂ ) = (2, - 5)

d = [tex]\sqrt{(2+2)^2+(-5+3)^2}[/tex]

   = [tex]\sqrt{4^2+(-2)^2}[/tex]

   = [tex]\sqrt{16+4}[/tex]

   = [tex]\sqrt{20}[/tex] = [tex]\sqrt{4(5)}[/tex] = 2[tex]\sqrt{5}[/tex] ← exact distance

Answer 2

Answer:Sample Response: No, Riko is not correct. The points do not have the same x-coordinates. If you connect the points, they do not form a horizontal or vertical line, so you cannot count spaces or use absolute value to find the distance.

Step-by-step explanation:


Related Questions

The base of a 50-ft ladder that is leaning against a building is placed 35 ft away from the bottom of a building. What angle does the ladder make with the ground?
The ladder makes a _______° angle with the ground. Round your answer to the nearest degree.

Answers

46 degrees! use inverse cosine

Suppose you want to finish running errands by 4:00 pm. Shopping will take 20 minutes. Eating will take 25 minutes. You will meet with a friend for 15 minutes. And your travel time will be a total of 20 minutes. When should you START your errands?

Answers

Answer:

2:50 pm

Step-by-step explanation:

In order to find the amount of time it takes to complete your errands, we first have to find the time it takes to complete them.

20+25+15+10=45+25=70

So, it will take 70 minutes, or 1 hour and 10 minutes to complete your errands.

We need to find what time 1 hour and 10 minutes before 4:00 is. So, one hour before 4:00 is 3:00. Then, 10 minutes before 3:00 pm is 2:50. Therefore, you have to start your errands at 2:50 pm.

5. What is the approximate height of the cylinder?

Use 3.14 for 77, and if necessary, round to the

nearest tenth.

10 ft

? ft

V = 314 ft3

Answers

Answer:

Height of the cylinder is 1ft

Step-by-step explanation:

Data ;

Volume = 314ft³

Assuming radius = 10ft

Height = ?

π = 3.14

Volume of a cylinder = πr²h

r = radius

h = height of the cylinder

Vol = πr²h

314 = 3.14 × 10² × h

314 = 314h

Solve for h,

h = 314 / 314

h = 1ft

The height of the cylinder is 1ft.

Solving each system by eliminating
x-y+z= -1
x+y+3z= -3
2x-y+2z= 0

Answers

There's only one system of equations here.

Let's eliminate x first,

x - y + z = -1

x = -1 + y - z

Substituting into  x + y + 3z = -3 gives

(-1 + y - z) + y + 3z = -3

2y + 2z = -2

y + z = -1

Substituting for x into 2x-y+2z = 0 gives

2(-1 + y - z) - y + 2z = 0

-2 + 2y - 2z - y + 2z = 0

y = 2

Got lucky on that one.  

z = -1 - y = -1 - 2 = -3

x = -1 + y - z = -1 + 2  - -3 = 4

Answer: x=4, y=2, z= -3

Check:

x-y+z = 4 - 2 + -3 = -1, good

x+y+3x = 4+2+3(-3) =  -3, good

2x-y+2x = 2(4)-2+2(-3) = 0, good

After solving three equations, the result is x=4, y=2, and z=-3.

What is the definition of elimination?The elimination method involves removing one of the variables by combining the two equations. This method eliminates one variable, allowing you to solve for the other. Because there are two variables in a two-equation system, eliminating one simplifies the process of solving for the other. The addition property of equality is used in the elimination method for solving systems of linear equations. Each side of an equation can have the same value. So, if you have a system where x - 6 = 6 and x + y = 8, you can add x + y to the left side of the first equation and 8 to the right.

Therefore,

Eliminate x first,

x - y + z = -1

x = -1 + y - z

Substituting into x + y + 3z = -3 gives

(-1 + y - z) + y + 3z = -3

2y + 2z = -2

y + z = -1

Substituting for x into 2x-y+2z = 0 gives

2(-1 + y - z) - y + 2z = 0

-2 + 2y - 2z - y + 2z = 0

y = 2

z  = -1 - y

Simplifying the above equation then we get,

= -1 - 2

Z  = -3

x  = -1 + y - z

Substitute the value y and z the above equation,

= -1 + 2 - (-3)

Then we get

X  = 4

Hence, The value of x = 4, y = 2, and z = -3

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Which expression is equivalent to 4/9 (2n-3)

Answers

Answer: 8/9n - 1 1/3

BTW * MEANS TIMES

Step-by-step explanation:

Given that:   4/9(2n - 3) .....[1]

The distributive property says that:

a * (b + c) = a * b + a* c

Apply the distributive property in equation [1] we get;

4/9 *  2n + 4/9 * (-3)

Simplify:

8/9n - 4/3

We can write 4/3  in mixed fraction as:

4/3 = 1 1/3

then;

8/9n - 1 1/3

Therefore, the expression which is equivalent to 4/9(2n - 3)  is, 8/9n - 1 1/3

Find the volume of the rectangular prism. A 28 cm cubed B 42 cm cubed C 24 cm cubed D 168 cm cubed..

Answers

Answer:d

Step-by-step explanation:

the answer us d becasue you have to add all the sides together

Which is the graph of f(x) = 3x.

Answers

Answer:

Step-by-step explanation:

The

x

-intercepts are

(

0

,

0

)

and

(

3

,

0

)

because

3

x

x

2

=

0

factored equals

(

x

)

(

x

3

)

=

0

When each of the parenthetical expressions is set equal to zero, you get

x

=

0

and

x

=

3

The vertex is

(

3

2

,

9

4

)

because the

x

-coordinate of the vertex is

x-coord. vertex

=

b

2

a

=

3

2

(

1

)

=

3

2

Then, you plug

3

2

into the equation for

x

and get

f

(

3

2

)

=

3

(

3

2

)

(

3

2

)

2

=

9

4

the graph of f(x) = 3x will be a Line.

What is a Linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Given a equation f(x) = 3x

Comparing with the slope-intercept form of the graph:

We can see the slope of the line will be 3 and since the y-intercept is 0

Since Function f(x) will be a linear equation

Therefore, its graph would be a line.

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The diameter of a basketball is approximately 24 cm. Find the volume to the nearest
hundredth. Use u = 3.14
A) 1808.64 cubic
cm
B) 5,425.92 cubic
cm
C) 7,234.56 cubic
cm
D) 57,876.48
cubic cm

Answers

Answer:

b

Step-by-step explanation:

Please Help!! I will give brainliest answer but only if you explain clearly and you get it correct. If you roll two fair six-sided dice, what is the probability that the dice show the same number?

Answers

Answer:

1/6

Step-by-step explanation:

The probability of one dice being a particular number is 1/6. The probability of two dice being the same particular number is 1/6 x 1/6 = 1/36. This is not the same as saying that both dice are the same number. There are six different possible numbers, so that would be 6/36 or 1/6.

1/6 given that there is only 6 sides





Which construction is being shown in the diagram?
A) Copy an angle
B) Copy a triangle
C) Construct an equilateral triangle
D) Construct the bisector of an angle

Answers

Answer:

Correct answer is option D) Construct the bisector of an angle.

Step-by-step explanation:

Angle bisector of an angle is a line that divides the angle in two equal parts.

A Line BD is called the angle bisector of [tex]\angle ABC[/tex] if

[tex]\angle ABD = \angle CBD[/tex]

Please refer to image attached.

As per the question image, if the line PW is joined it will be the angle bisector of [tex]\angle QPR[/tex].

Steps of construction of angle bisector:

1. Draw the angle QPR.

2. Open compass and make an arc that will cut the two lines on points Q and R respectively as shown in question figure.

3. With the same compass opening, put the compass on Q and make an arc in the area between [tex]\angle QPR[/tex].

4. Draw an arc keeping the compass on R to cut the previous arc on point W.

Line joining the points P and W is the angle bisector of [tex]\angle QPR[/tex].

So, Correct answer is option D) Construct the bisector of an angle.

Answer: Option d

Step-by-step explanation: just took test

Knowing that the final course grade is determined in the manner described above, Kyra can figure out what grade she needs to earn on the final exam to earn at least a 90% for her final course grade. These are her other grades she has earned so far: Q1 = 92%, Q2 = 85%, Q3 = 88%, Q4 = 84%, and mid-term exam = 89%. What is the least whole percent she must earn on the final exam?

Answers

Answer: Kyra must earn at least 100% on the final exam.

Step-by-step explanation: Kyra's scores have been accumulating from Q1 to Q4 and then the mid term exam. Her scores are outlined as follows;

Q1 = 92, Q2 = 85, Q3 = 88, Q4 = 84, mid-term = 89.

Observe carefully that the data set (number of observed data) is 5.

What she needs now is a final average score of at least 90% after her final exam. She can use this to determine what she needs to score in her final exam. In other words, now that she has a average score, all she needs is a total of all her scores up till her final exam. Note that after writing her final exam, the data set would be six and no longer five.

Before writing her final exam, Kyra's average score was calculated as;

Average = (92 + 85 + 88 + 84 + 89)/5

However after she must have written her final exam, her average would be calculated as;

Average = (92 + 85 + 88 + 84 + 89 + x)/6

Where average is given as 90 and x is the final exam score, you now have

90 = (438 +x)/6

90*6 = 438 + x

540 = 438 + x

Subtract 438 from both sides of the equation

102 = x

Therefore from the results shown, Kyra must score up to 102% in her final exam. However, knowing that she cannot obtain a score higher than 100%, we can conclude that she must score nothing less than 100% (a hundred percent) in her final exam.

PLS ASAP OS FOR PRACTICE FSA PLS The diagram represents the shape and dimensions of kayla’s garden. What is the total area of the garden

Answers

Answer:

441 [tex]ft^{2}[/tex]

Step-by-step explanation:

Area of a square and rectangle = bh

Square

Base = 15

Height = 15

15 x 15 = 225

Rectangle

Base = 24

Height = 9

24 x 9 = 216

Add them together

216 + 225 = 441

What is the following product?
12.18
N
30
56
EN
6V6

Answers

6v6 is the answer :)

Multiply:(square root 10 + 2 square root 8)( square root 10 - 2 square root 8)

Answers

Answer:

-22

Step-by-step explanation:

We need to multiply the following:

[tex](\sqrt{10} +2\sqrt{8})(\sqrt{10}-2\sqrt{8})[/tex]

First, we need to FOIL out this expression, then we can simplify it

[tex](\sqrt{10} +2\sqrt{8})(\sqrt{10}-2\sqrt{8})\\\\(\sqrt{10})( \sqrt{10} )+(2\sqrt{8})(\sqrt{10})-(2\sqrt{8})( \sqrt{10})-(2\sqrt{8})(2\sqrt{8}) \\\\10+2\sqrt{80} -2\sqrt{80} -4\sqrt{64} \\\\10-4(8)\\\\10-32\\\\-22[/tex]

The simplified expression after you multiply (square root 10 + 2 square root 8)( square root 10 - 2 square root 8) is -6.

What is simplified expression after you multiply?

To solve the given expression that needs you to multiply, let's first simplify the individual terms:

Square root of 10: √10

Square root of 8: √8 = √(4 x 2) = 2√2

Now, let's substitute these values into the expression:

(√10 + 2√8)(√10 - 2√8)

Using the distributive property, we can expand this expression as follows:

= (√10 x √10) - (√10 x 2√8) + (2√8 x √10) - (2√8 x 2√8)

= 10 - 2√80 + 2√80 - 4 x 8

= 10 - 16

= -6

Therefore, the simplified expression in square root is -6.

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Which transformations would result in the image shown?


a.ABCD is reflected over both axes.

b.ABCD is translated right 4 units and down 3 units.

c.ABCD is reflected over the x-axis and translated right 4 units.

d.ABCD is reflected over the y-axis and translated down 3 units.

Answers

Answer:

a.ABCD is reflected over both axes.

Step-by-step explanation:

Reflection over x-axis transforms point (x, y) into (x, -y)

Reflection over y-axis transforms point (x, y) into (-x, y)

Then, reflection over both axes transforms point (x, y) into (-x, -y). Applying this rule to figure ABCD:

A (-2, 2) -> (2, -2) which corresponds to point A'

B (-1, 2) -> (1, -2) which corresponds to point B'

C (-1, 1) -> (1, -1) which corresponds to point C'

D (-3, 1) -> (3, -1) which corresponds to point D'

Answer:

It is a

Step-by-step explanation:

hope this helps

Which number below is a prime number?
O A. 18
O B. 12
O c. 17
O D. 28

Answers

Answer: 17 is the only prime number

Step-by-step explanation:

Answer:

C 17

Step-by-step explanation:

A. 18  = 2*9  so not prime

B. 12  = 3*4 so not prime

c. 17  

D. 28 = 4*7 so not prime

17 = 1*17 so the only numbers are 1 and itself so it is prime

Parker plans to buy boxes of tissues at $12 each and bowls at $4 each for his restaurant. 1)Write an algebraic expression to find the total cost of the tools if Parker buys x boxes of tissues and y bowls. 2)What is the total cost of Parker’s purchase if x=6 and y=15?

Answers

Answer:

12x+4y=132

Step-by-step explanation:

Just substitute the numbers in then substitute the others in, 12 times 6 and 4 times 15 then add the two together

Write a piecewise function that models each telephone billing plan. Then graph the function.

$60 per month buys 450 minutes. Additional time costs $0.35 per minute.

Answers

Answer: if  0 < x ≤ 450, y = $60.

if 450 < x ; y = $60 + (x - 450min)*$0.35

Step-by-step explanation:

Here x will represent the number of minutes.

with $60 you have 450 minutes, and you must pay 60 regardless of how much minutes you use.

so if  0 < x ≤ 450, y = $60.

now, if you call for more than 450 minutes, you get an additional of $0.35 per minute, then we have:

if 450 < x ; y = $60 + (x - 450min)*$0.35

where we use (x - 450)*$0.35 because any minute after the 450 minute mark is considerated an additional time.

So our piecewise function is:

if  0 < x ≤ 450, y = $60.

if 450 < x ; y = $60 + (x - 450min)*$0.35

if  0 < x ≤ 450, y = $60.

if 450 < x ; y = $60 + (x - 450min) × $0.35

the calculation is as follows:

Here x will represent the number of minutes.

so if  0 < x ≤ 450, y = $60.

And,

if 450 < x ; y = $60 + (x - 450min) × $0.35

where we use (x - 450) ×$0.35 since any minute after the 450 minute mark is considered an extra time.

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The blue dot 15 at what value on the
number line?
10
2

Answers

Answer: The blue dot is 20.

Step-by-step explanation:

4. Given the function f(x) = 8x + 2 , evaluate f(6)

Answers

Answer:

f(6) = 50

Step-by-step explanation:

f(x) = 8x + 2

then

f(6) = 8(6) + 2

     = 48 + 2

     = 50

____________________________

:)

What is the solution to equation 3 1/2 + p = 5 1/4?

a. p = 3/4
b. p = 2 3/4
c. p = 1/4
d. p = 1 3/4

Answers

The value of p is 1 3/4

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

[tex]p = 1\frac{3}{4} [/tex]

Answer D is correct

Step-by-step explanation:

[tex]3 \frac{1}{2} + p = 5 \frac{1}{4} \\ \frac{7}{2} + p = \frac{21}{4} \\ p = \frac{21}{4} - \frac{7}{2} \\ p = \frac{21 - 14}{4} \\ p = \frac{7}{4} \\ p = 1 \frac{3}{4} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

What is the solution to the equation?
13-+x=
x--67
x=-621
X= 20
x =21

Answers

Answer:

the answer for this question is x = 13

Step-by-step explanation:

But where the option for this question?

Need help with a this question thank you

Answers

Answer:

D. [tex] 3.77 \times {10}^{7} [/tex]

Step-by-step explanation:

Number of more people living in California than in Maine =

[tex]3.9 \times {10}^{ 7} - 1.3 \times {10}^{6} \\ = 39 \times {10}^{ 6} - 1.3 \times {10}^{6} \\ = 37.7 \times {10}^{6} \\ = 3.77 \times {10}^{7} [/tex]

−5x+2y=9

y=7x

​system of equation with substitution

Answers

Answer:

point Form: (1,7)

Equation form: x=1, y=7

Step-by-step explanation:

find the measure of angle 2.

Answers

I think it’s c or it’s b

Can someone plz help me? 20 points and get brainliest!!!

Answers

Answer

1 is the second option, 2 is the third option

Step-by-step explanation:

for the first one divide both sides by 7 giving you z < -4

since z is less than the arrow will go to the left and will start at -4, but the will be an open circle since z is not equal to -4 answer b

for the second

it is 6/20 or 3/10

3/10 is 30% so answer c

Transform the polar equation to an equation in rectangular coordinates. Then identify and graph the equation.
What is the standard form of the equation in rectangular​ form?

Answers

The answer is positive 5

Liz flips a coin 50 times. The coin lands heads up 30 times and tails up 20 times. Complete each statement. The theoretical probability of the coin landing heads up is ______. Based on Liz’s results, the experimental probability of the coin landing heads up is_____. The theoretical probability is than the experimental probability in this experiment________. Pls help!!!

Answers

Answer:

HEADS UP= 30/50

TAILS UP= 20/50

Answer:

HEADS UP= 30/50

TAILS UP= 20/50

Step-by-step explanation:

Slove 7+x-15=-2 2/3

6 1/3
10 2/3
20 2/3
5 1/3

Answers

Answer:5 1/3

Step-by-step explanation:

Hope I helped u :)

Solve the inequality 2(4x+1)<3(2x-3)

Answers

Answer:

X<-11/2

Step-by-step explanation:

Hope I helped:)

The inequality 2(4x+1)<3(2x-3) is x=-11/2

We have given that,

[tex]2\left(4x+1\right) < 3\left(2x-3\right)[/tex]

We have to determine the value of the x

What is inequality?

Inequality is a relation that makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.

[tex]8x+2 < 6x-9[/tex]

Subtract 2 from both sides

[tex]8x+2-2 < 6x-9-2[/tex]

Simplify

[tex]8x < 6x-11[/tex]

subtract

[tex]8x-6x < 6x-11-6x[/tex]

Simplify

[tex]2x < -11[/tex]

divide 3 both sides by 2

x=-11/2

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