Jerome found the lengths of each side of triangle QRS as shown, but did not simplify his answers. Simplify the lengths of each side to answer the question. Which statement about triangle QRS is true?

a. Triangle QRS is an equilateral triangle because QR = RS.

b. Triangle QRS is an isosceles triangle because QR = QS.

c. Triangle QRS is a scalene triangle because all sides have different lengths.

d. Triangle QRS is an isosceles triangle because QR = RS.

Answers

Answer 1

Answer:

D. Triangle QRS is an isosceles triangle because QR = RS.

Step-by-step explanation:

Find the length of each side of the triangle using the formula for calculating the distance between two points.

D = √(x2-x1)²+(y2-y1)²

For side RS

R(0,0) and S(5, -3.322)

RS = √(5-0)²+(-3.322-0)²

RS = √25+11.035684

RS = √36.035684

RS = 6.0029

For side RQ

R(0,0) and Q(-3, -5.2)

RQ = √(-3-0)²+(-5.2-0)²

RQ = √9+27.04

RQ = √36.04

RQ = 6.0033

For side QS

Q(-3,-5.2) and S(5, -3.322)

QS = √(5+3)²+(-3.322+5.2)²

QS = √64+3.526884

QS = √67.526884

QS = 8.22

From the calculation it can be seen that RS=QR

Since the two sides f the triangle are equal, hence the triangle is an isosceles triangle. An isosceles triangle is a triangle that has two of its sides equal

Jerome Found The Lengths Of Each Side Of Triangle QRS As Shown, But Did Not Simplify His Answers. Simplify
Answer 2

Answer:

D.

Step-by-step explanation:


Related Questions

Subtract – 3x – 8 from 4x2 – 7x – 2.

Answers

Answer:  -2 • (4x2from4 + 5x + 1)

Step-by-step explanation: Changes made to your input should not affect the solution:

(1): "x2"   was replaced by   "x^2".  1 more similar replacement(s).

(2): Dot was discarded near "2.".

STEP

1

:

Equation at the end of step 1

 ((-3x -  (23from4 • x2)) -  7x) -  2

STEP

2

:

STEP

3

:

Pulling out like terms

3.1     Pull out like factors :

  -8x2from4 - 10x - 2  =   -2 • (4x2from4 + 5x + 1)

Trying to factor a multi variable polynomial :

3.2    Factoring    4x2from4 + 5x + 1

 

Answer:

-2

Step-by-step explanation:

Sorry if i'm wrong

The temperature in Montreal was -8° C. In New York the temperature was 11° C. How many degrees warmer was the temperature in New York?

Answers

Answer:

19

Step-by-step explanation:

Write the linear equation between the points: (-4, 5) and (0, -2)
a
b
y=7/4x+2
y=-7/4x-2
y=-4/7x-2
y=4/7x-2
C С
d

Answers

Answer:

Hey there!

Slope: 7-3/1-(-1), which is equal to 4/2, or 2.

Point slope: y-7=2(x-1)

So choice B is correct.

Step-by-step explanation:

Which graph represents an event function?

Answers

Answer:

We cannot see any graphs, add them so we can understand the problem

Sohil has $18 in quarters and loonies. If there are 27 coins in total, how many loonies are there

Answers

Answer:

15 loonies = $15.00

12 quarters = $3.00

CHECK:

15+12=27

3+15=18

So there are 15 loonies :)

The x-intercept of the line given by 3y + 2x = -7 is:

A. 3 1/2
B. -3 1/2
C. -2 1/3
D. None of these

Answers

Answer:

put

Step-by-step explanation:

Fiften is 30 percent of what number?

Answers

Answer:

50

hope it helps

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

The way you solve this is by creating an inequality of

30          15

----     =   ----

100          x

So you cross multiply which would give you 30x = 1500, then you divide by 30 on both sides leaving you with 50. If you want to check it, you can then multiply 50 by .30 which would give you 15.

HELPPPPPP

Question:
In pic

Answers

Answer:

68/12

Step-by-step explanation:

12x5 is 60 then add the 8

Answer:

5[tex]\frac{2}{3}[/tex] I believe

name an angle complementary to

Answers

HQG because it is 55 degrees and 55 + 35 is 90, and complementary angles add up to 90 degrees.

Angle HQG

Can anyone help with this?

Answers

Answer:

8

Step-by-step explanation:

In order to find the length and width necessary to find area, we need to look at the chart. By exmaining, we can see that the length is two units from top-to-bottom. We can also see that the width is 4 units from left-to-right. We can now multiply 4 times 2 to get our answer of 8.

Answer:

B. 8.0

Step-by-step explanation:

To figure out the area you just do length times width, and you find the two by counting the amount of squares they take up. The length is two, and the width is 4; therefore the area is 8

10x-6y=-48
standard to slope intercept form

Answers

Answer:

[tex]y=\frac{5}{3}x+8[/tex]

Step-by-step explanation:

Remember, slope intercept form is:

y = mx + b

where m is the slope and b is the y-intercept.

To get the given equation into slope-intercept form, we would have to first solve for y in terms of x.

10x - 6y = -48

Subtract 10x from both sides.

-6y = -48 - 10x

Multiply both sides by -1.

6y = 10x + 48

Divide both sides by 6.

[tex]y=\frac{5}{3}x+8[/tex]

And now, looking at the equation that we found and the equation for slope-intercept form, we can see that we have found the equation for 10x - 6y = -48 in slope-intercept form.

I hope you find my answer to be helpful. Happy studying.


find the sum . red is negatives and yellow are positives

Answers

Answer:

-3

Step-by-step explanation:

-6+3

beucase they are opposite signs (negative and positive) you subtract to find the difference; 6 minus 3 and you keep the sign of the larger number

Answer:

-3

Step-by-step explanation:

There are 3 yellows and 6 reds

then

(-6) + 3 = (-3)

Question 3 What is the slope of the line that passes through the points (0.-7) and (-4, 3)? 0 -3/11 O -2/5 À O -5/2 0 10/4 Question 4 ​

Answers

Answer:

Gradient = Change in y / Change in x

Gradient = (-7-3) / (0-4)

Gradient = -10/-4

Gradient = 2.5

So the answer is 10/4, which is 2.5

The slope of the line passes through the points (0.-7) and (-4, 3) is -5/2. The correct option is B.

What is a slope?

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope is defined as the ratio of the rise to the run.

Given that the points are (0.-7) and (-4, 3). the slope of the line will be calculated as,

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( 3 - (-7) / ( -4 - 0 )

Slope = 10 / -4

Slope = -5 / 2

To know more about slopes follow

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On leaving Trinidad, the time on a pilot's
watch was 23:00 h. When he arrived at his
destination in the same time zone on the
next day, his watch showed 03:00 h. Ilow
many hours did the flight take?

Answers

Answer:

4 hours

Step-by-step explanation:

(i assume that the 03:00 is a.m and not p.m)

23:00 is 11 pm, so 11 pm to 3 am would be 4 hours

Need help with this problemm

Answers

Answer:

60

Step-by-step explanation:

It is because all angles in an equilateral triangle add up to 180 degrees meaning that they are all equal. You can know its an equilateral triangle from the small lines an the sides meaning they are equal.


At a local pumpkin patch you can pick your own pumpkins. There is a $5 charge to enter the patch and then a $0.25 charge per pound of pumpkin. Let p
represent the weight of the pumpkin you choose and C(p)
represent the total cost of the pumpkin in terms of the weight of the pumpkin. Equation, in function notation:

Answers

Answer:

C(p) = 0.25p + 5

Step-by-step explanation:

$5 is the amount of money you have to pay when you don't get a pumpkin (a pumpkin that's 0 lbs), so the y-intercept is 5. 0.25 is the rate at which the price increases as the weight increases, so the slope is 0.25.

m = slope, b = y-intercept

C(p) = mp + b

C(p) = 0.25p + 5

3. If Q is between P and R, then PR = PQ+ QR.

Answers

No QR + QP that is the the answer

Nilopal is 2 years older than Devjan who is 7 years older than Sucha. If their combined age is 61 years, find age of each person?

Answers

Answer:

23, 30, 8

Step-by-step explanation:

List the first 15 perfect cubes:
23
33
43
53
63
83
93
103
11
12
13
14
153
13
1
1
73
1
1
1 l
Sign out
INTL

Answers

Answer:

1

1

1

11

11

235

5

6

65

6

444444444

4566

A rubber ball has a diameter of three inches. What is its volume?

a. 14 in3
b. 4.2 in3
c. 1.4 in3
d. 42 in3

Answers

Answer:

Diameter of the ball = 8 inches

Radius of the ball (r) = diameter ÷ 2 = 8 ÷ 2 = 4 inches

π = 3.14

Surface area of the ball (A) is the same as the surface area for a sphere = 4 π r² = 4 × 3.14 × 4² = 200.96 inches²

Step-by-step explanation:

hi nice to meet you

Using the formula of volume of sphere, the volume of the rubber ball is 14[tex]inches^{3}[/tex] approximately.

What is the volume of sphere?

The volume of sphere is the amount of space occupied, within the sphere.

Diameter of sphere = 3 inches

Radius of sphere = 3/2 = 1.5 inches

Volume of sphere = [tex]\frac{4}{3}\pi r^{3}[/tex] = [tex]\frac{4}{3}*\frac{22}{7}*1.5^{3}[/tex] = 14.13 [tex]inches^{3}[/tex]

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hi pls help! i'll give brainliest +30 points

Answers

Answer:

Option 3

Step-by-step explanation:

Because only the constant is changed.

15+3x=45 I'm sorry but there will be a lot of questions I need to ask. But can someone help me with this one too?

Answers

Hey :)

x= 10

Subtract 15 from both sides
3x=45−15


Subtract 15 from 45 to get 30
3x=30

Divide both sides by 3.
x= 3/30


Divide 30 by 3 to get 10
x=10


Hope this helps :)

Answer:

x=10

Step-by-step explanation:

15+3x=45

-15        -15 *first subtract 15 from both sides

3x=30       * then divide by 3 on both sides to get x by itself

/3     /3

x=10

theres ur answer :D

Solve for x : x/14-4=3

Answers

Answer:

98

Step-by-step explanation:

3+4 then times 14

When playing a track on the outer edge, a CD rotates 300 times per
minute. Through how many degrees does it rotate in one second?

Answers

Answer:

I think it's 1800 Degress

Step-by-step explanation:

If the CD rotates 300 times per minute, we know that equals 300 rotations/60 seconds

That ends up being 5 rotations per second.

Since we know that a full rotation is 360 degrees, then it should equal 1800 degrees.

Hope that helps, let me know if this does or not.

Yesterday, Kate gave exactly fourteen haircuts
and made $50.00. If she charged $5.00 for adults'
haircuts and $2.50 for children's haircuts, how
many children's haircuts did she give?
A) 5
B) 6
C) 7
D) 8

Answers

Answer:

D) 8

Step-by-step explanation:

8 x 2.5 = 20

and the rest is adult haircuts

6 x 5 = 30

Answer:

D) 8 Children’s Haircuts

Step-by-step explanation:

Let a represent the amount of adult haircuts and c represent the amount of child haircuts.

We know that she gave exactly 14 haircuts. So:

[tex]a+c=14[/tex]

We also know that she made $50.00. Therefore, the price of each haircut times their respective amounts will total $50. So:

[tex]5a+2.5c=50[/tex]

This is now a system of equations.

We can solve this using substitution. From the first equation, let’s subtract c from both sides:

[tex]a=14-c[/tex]

Now, we can substitute this into the second equation for a. This yields:

[tex]5(14-c)+2.5c=50[/tex]

Distribute:

[tex]70-5c+2.5c=50[/tex]

Combine Like Terms:

[tex]70-2.5c=50[/tex]

Subtract 70 from both sides:

[tex]-2.5c=-20[/tex]

Divide both sides by -2.5:

[tex]c=8[/tex]

Therefore, Kate gave 8 children’s haircuts.

This means that she gave [tex]14-8=6[/tex] adult haircuts.

So, our answer is D. She gave 8 children’s haircuts.

solve this asap thanks !

Answers

W= -56. Please mark as brainliest or like I’m trying to level up and if u need a explanation let me know

Write an equation in slope-intercept form for the line that has a slope of 2/3 and passes through the point (2,9)

Answers

9514 1404 393

Answer:

  y = 2/3x -23/3

Step-by-step explanation:

In a version of point-slope form this is ...

  y = m(x -h) +k . . . . . line with slope m through point (h, k)

Expanding this, we have ...

  y = mx +(k -mh) . . . . slope-intercept form

For the given point and slope, the equation is ...

  y = 2/3x +9 -2/3(2)

  y = 2/3x -23/3

Answer:

can you provide more information

Step-by-step explanation:

If my function rule is 2x + 1, what is the OUTPUT if the input is 2?

Answers

Answer:  5

Work Shown:

x = 2 is the input

y = 2x+1

y = 2(2)+1

y = 4+1

y = 5 is the output

 A function is a relationship between inputs where each input is related to exactly one output.

The value of the output of function 2x + 1 when x =2 is 5.

What is a function?

A function is a relationship between inputs where each input is related to exactly one output.

Example:

1.

f(x) = 3x + 2

x = 1,

f(1) = 3x1 + 2 = 3 + 2 = 5

Input = 1

Output = 5

2.

g(x) = 4x + 2

For x = 1, g(1) = 4x1 + 2 = 4 + 2 = 6

Input = 1

Output = 6

We have,

Function:

2x + 1

Input = 2

The value of the output of the function 2x + 1 when x =2:

= 2x + 1

= 2x2 + 1

= 4 + 1

= 5

Thus,

The value of the output of function 2x + 1 when x =2 is 5.

Learn more about functions here:

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Which set of numbers could represent the lengths of the sides of a triangle?

Answers

As long as any 2 numbers from the set of 3 adds up to be greater than the third number, it could represent the sides of a triangle.

can someone please answer me this question ASAP!!!!
Point A is located at negative 4 over 6 and point B is located at negative 1 over 6. What is the distance between points A and B?

negative 4 over 6 minus negative 1 over 6 = negative 3 over 6; therefore, the distance from A to B is absolute value of negative 3 over 6 equals negative 3 over 6 units
negative 4 over 6 minus negative 1 over 6 = negative 3 over 6; therefore, the distance from A to B is absolute value of negative 3 over 6 equals 3 over 6 units
negative 4 over 6 plus negative 1 over 6 = negative 5 over 6; therefore, the distance from A to B is absolute value of negative 5 over 6 equals 5 over 6 units
negative 4 over 6 plus negative 1 over 6 = negative 5 over 6; therefore, the distance from A to B is absolute value of negative 5 over 6 equals negative 5 over 6 units
Question 7(Multiple Choice Worth 1 points)

Answers

3/6 because absolute value of any number has to be positive and you have to subtract the 2 answers to find the distance

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