Mathematics challenge

Mathematics Challenge

Answers

Answer 1

Get the equation of the line containing PQ using the point-slope formula:

y - (-2) = 3/2 (x - (-6))

Solve for y to get it in slope-intercept form:

y = 3/2 x + 7

so the y-intercept is (0, 7).

The line containing QR is then

y - 7 = -3/4 (x - 0)

or

y = -3/4 x + 7

The point R is on the x-axis, so its y-coordinate is 0. Plug in y = 0 and solve for x to get the other coordinate:

0 = -3/4 x + 7

3/4 x = 7

x = 4/3×7 = 28/3

So the point R has coordinates (28/3, 0).

Answer 2

Answer:

Point R is on the x-axis, so its y-coordinate is 0. Plug in y = 0 and solve for x to get the other coordinate:

0 = -3/4 x + 7

Take off the zero...

3/4 x = 7

Answer

x = 4/3×7 = 28/3

And there it is

Point R has the coordinates (28/3, 0).

Step-by-step explanation:


Related Questions

Plums and Peaches
The graphs below show the cost y of buying x pounds of fruit. One
graph shows the cost of buying x pounds of peaches, and the other
shows the cost of buying x pounds of plums.

Answers

Answer:

a. Peaches cost more by pound because the line it forms is steeper

b. draw a line that is less steep than the plums and under the plums line

Find the slope of 3y = 6x + 4

Answers

Answer:
The slope or m is 2

Explanation:
The full answer is y = 2x + 4/3

Slope being 2 as y = mx + b

And the slope is m

On which day of the month were you born?

a Categorical
or
b Numerical​

Answers

Answer:

a (typing more bc of limit lolol)

The dimensions of two square pyramids formed of sand are shown. How much more sand is in the pyramid with the greater volume?

I will ONLY give brainliest to whoever answer FIRST AND whoever answers CORRECTLY!

Answers

Answer:

There is 32in² more sand in the pyramid with greater volume.

Step-by-step explanation:

Volume of rectangular pyramid = l²*h/3, where l is the base length and h is height.

Volume of left pyramid=l²*h/3=8²*(6/3)=64*(2)=128in³

Volume of right period=l²*h/3=6²*(8/3)=36(8/3)=96in³

128-96=32, there is 32in² more sand in the pyramid with greater volume.

Simplify
(-8.5) (-5) (-2)

Answers

Answer: -85

Hope this helps!

Jim has 28 mangoes he gave Tom 8 how many does Jim has

Answers

Answer: 20 mangoes.

Step-by-step explanation: This is a simple subtraction problem. If you take away 8 from 28, you'll have 20.

28 - 8 = 20

Choose the two equal expressions

Answers

i think D and E? cuz 15 x 6 is 90
It’s A and D

Have a great day

I totally need helppppppppp. Oh no im gonna faillllllll.
10 + 9
PLs send help


(I'll give brainliest if you answer right

Answers

Answer:

19 will be the answer.

Step-by-step explanation:

10+9=19

Answer:

19

Step-by-step explanation:

can i get brainiest

What is the solution set for 4x+9 <17?
Is B right? Or A?


Answers

Answer:

[tex]x<2[/tex]

Step-by-step explanation:

[tex]\mathrm{Subtract\:}9\mathrm{\:from\:both\:sides}[/tex]

[tex]4x+9-9<17-9[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]4x<8[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}4[/tex]

[tex]=x<2[/tex]

Answer:

4x+9=17

-9 -9 subtract 9 on both sides to cancel 9 on one side of equation and subtracted on the other side

4x=8

divide 4 on both sides to get x by itself

x=8/4

x=2 SOLUTION

Step-by-step explanation:

This table gives a few (x,y) pairs of a line in the coordinate plane. What is the y intercept of the line?

Answers

Answer:

0,34

Step-by-step explanation: when you do x2-x1/y2-y1 with the coordinates you get slope plug that in the the y= mx+b equation with any one of the coordinates and you get the y intercept.

Find the value of x.

Answers

Answer:

116

Step-by-step explanation:

110+79+55=244

360-244=116

Answer:

116

Step-by-step explanation:

the length of rectangular park is 15 m longer than that of the park is 114m find it's length and breadth​

Answers

Answer: Length: ≈20.5 Breadth: ≈5.5

Step-by-step explanation: x(x+15)=114, solving for x we get 5.547 and 20.547.

Which number has the least value?
A 7.078
B 7.708
C 7.807
D 7.007

Answers

the correct answer is D!

Answer: D

Step-by-step explanation: It has the least value in the hundredths and thousandths place, so it is D.

Guys please help me with this problem

Make a list of the possible outcomes from the table

Answers

Answer:

(d)

Step-by-step explanation:

The answer is d because it's pretty simple , you can have the white shirt with both trousers and the green shirt with both aswell.

⚠️HELP⚠️

If <6≈<10and <5≈<7, which describes all the lines that must be parallel?

o Only lines r and s must be parallel.
o Only lines t and umust be parallel.
Lines r and s and lines t and u must be parallel.
O Neither lines r and s nor lines t and u must be parallel

Answers

From the image we can see that; Lines r and s and lines t and u must be parallel.

What are parallel lines?

The term parallel lines refers to those lines that can not meet. We know parallel lines by the arrows that show us where they are pointing to.

Thus, from the image we can see that; Lines r and s and lines t and u must be parallel.

Learn more about parallel lines:https://brainly.com/question/16701300

#SPJ1

A middle school has 89 sixth graders, 107 seventh graders, and 104 eighth graders. The grid represents the 31% of students at this school who bring their lunch. 10 by 10 grid with first 3 columns shaded and top unit of the fourth row shaded How many students bring their lunch to school?

Answers

Around 90 kids bring their lunch.

Evaluate 4y-4, when y=3

Answers

Answer:

8

Step-by-step explanation:

4(3)-4=?

12-4=?

8=?

Answer:

The answer is 8

Step-by-step explanation:

4(3)-4

4 times 3 is 12 subtract by 4 you get 8.

HELP ME PLEASE SOME ONE!

Answers

Answer:

240 inches cubed

I see you have 4 mins left

1ч (х – 2) =36 times-Ч2

Answers

Answer:

x = -7

Step-by-step explanation:

14(x - 2) = 3(-42)

14x - 28 = -126

14x = -126 + 28

14x = -98

x = -7

Does anyone know this, scammers keep answering it

Answers

Answer:

Blank 1: 50

Blank 2: 95

Blank 3: is not

Blank 4: is not

Step-by-step explanation:

A right angle is 90 degrees, and a rectangle is a plane figure that has four straight sides and four right angles.

Please Help me Due in 2 Mins

Answers

the correct answer is 50 + 10n . hope this helps!

tiffany spent 2 1/8 hours studying 1 3/8 hours talking on the phone 100 percent of an hour on chores and 1.75 hours walking which of the following lists her activities in order of greatest to least amount of time F. Chores, phone, walk, study G. Chores, study, walk, phone H. Study, phone, walk, chores J. Study, walk, phone, chores

Answers

Answer: J - Study. walk. phone, chores

What is another way to describe an equailteral triangel
A=acute
B=obtuse
C=right
D=scalene

Answers

Answer:

c

Step-by-step explanation:

Right equilateral triangle

HELP ASAP!!

The parent function f(x)= square root of x is translated 2 units right, compressed horizontally by a factor of 21 , and reflected across the x-axis.

Answers

Answer:

Ok? what's the question

Step-by-step explanation:

Answer:

i did my best to try and find something, do any of these help? lmk

Step-by-step explanation:

Name the marked angle in 2 different ways.
V
U
S
T

Answers

Answer:

VUS, UST

Step-by-step explanation:

What is the domain of the following parabola? (5 points)

u-shaped graph that opens down with a vertex of 1, 2

Group of answer choices

y ≤ 2

x ≥ 1

All real numbers

x ≤ 1

Answers

Answer:

the domain for this parabola is all real numbers

You are planning a survey of starting salaries for recent computer science majors. In the latest survey by the National Association of Colleges and Employers, the average starting salary was reported to be $60,038. 5 If you assume that the standard deviation is $4300, what sample size do you need to have a margin of error equal to $500 with 95% confidence

Answers

Answer:

A sample size of 285 is needed.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Standard deviation is $4300

This means that [tex]\sigma = 4300[/tex]

What sample size do you need to have a margin of error equal to $500 with 95% confidence?

A sample size of n is needed. n is found when M = 500. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]500 = 1.96\frac{4300}{\sqrt{n}}[/tex]

[tex]500\sqrt{n} = 1.96*4300[/tex]

[tex]\sqrt{n} = \frac{1.96*4300}{500}[/tex]

[tex]n = 284.1[/tex]

Rounding up

A sample size of 285 is needed.

prove that the electric field is negative of the gradient of electric potential​

Answers

Answer:

Electric field points out the direction in which potential energy function is decreasing so it's the negative gradient vector of the potential energy function.

Step-by-step explanation:

^^


Triangle ABC is inscribed in a circle. The measure of arc AB is 126°.

Answers

Answer:

B. 54°

Step-by-step explanation:

hope it help you

follow me please

please please please help me :(((​

Answers

Answer:

In the last diagram the object is being acted upon by forces not adding up to zero.

Step-by-step explanation:

(Assuming force 1=force 2 in terms of magnitude)

Let forces acting towards the left = -1

Let forces acting toward the right = +1

In the first diagram, force1 is acting towards the left and force2 is acting towards the right:

Total force = force1+force2=-1+1=0

In the second diagram, force1 is acting towards the left and force2 is acting towards the right:

Total force = force1+force2=-1+1=0

In the third diagram, force1 is acting towards the right and force2 is acting towards the left:

Total force = force1+force2=+1-1=0

In the fourth diagram, force1 is acting towards the left and force2 is acting towards the left:

Total force = force1+force2=-1-1=-2. Here, the forces do not add up to zero.

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