Step-by-step explanation:
Hey there!
The equation of a st.line passing through points (6,-5) and (3,0) is;
[tex](y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)[/tex]
[Using double point formula]
Now, Put all values,
[tex](y + 5) = \frac{0 + 5}{3 - 6} (x - 6)[/tex]
Simplify it to get equation.
[tex](y + 5) = - \frac{5}{3} (x - 6)[/tex]
[tex]3(y + 5) = - 5(x - 6)[/tex]
[tex]3y + 15 = - 5x + 30[/tex]
[tex]5x + 3y + 15 - 30 = 0[/tex]
[tex]5x + 3y - 15 = 0[/tex]
Therefore the required equation is 5x + 3y - 15 = 0.
Hope it helps...
Answer:
y = -5/3x + 5
Step-by-step explanation:
The formula for the equation of a line is :
y - y1 = m (x-x1)
m is the gradient
finding the gradientformula
[tex]\frac{y2-y1}{x2-x1} \\\\[/tex]
= (0--5)/ (3-6)
=5 / -3
gradient = - 5/3
inserting the values in formula for the equation of a line
y - y1 = m (x-x1)
y - -5 = -5/3 (x - 6 )
y + 5 = -5/3 x + 10
y = -5/3x + 10 - 5
y = -5/3x + 5
Using Slopes of Parallel Lines Quick Check
Item 1
A quadrilateral ABCD has vertices A at (0,2), B at (2,6), C at (9,6), and D at (7,2). Are the opposite sides of this
quadrilateral parallel? (1 point)
Item 2
O Yes. AB is parallel to CD, but AD is not parallel to BC
Item 3
Item 4
O Yes. AB is parallel to CD and AD is parallel to BC
Item 5
O NO AD is parallel to BC but AB is not parallel to CD
O NO AB is parallel to CD, and AD is parallel to BC
Answer:
The answer is (B) ⇒ Yes. AB is parallel to CD and AD is parallel to BC
Step-by-step explanation:
There is an important fact about the parallel lines:
Parallel lines have equal slopesThe rule of the slope of a line is:
[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex], where [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex] are two points on the lineLet us use the fact and the rule to solve the question
∵ ABCD is a quadrilateral
∵ A = (0, 2) , B = (2, 6), C = (9, 6), D = (7, 2)
∵ The opposite sides are AB, CD and AD, BC
Find the slopes of the four sides to check the parallel sides
∵ [tex]m_{AB}=\frac{6-2}{2-0}=\frac{4}{2}=2[/tex]
∵ [tex]m_{CD}=\frac{2-6}{7-9}=\frac{-4}{-2}=2[/tex]
∵ The slope of AB = The slope of CD
∴ AB // CD
∵ [tex]m_{AD}=\frac{2-2}{7-0}=\frac{0}{7}=0[/tex]
∵ [tex]m_{BC}=\frac{6-6}{9-2}=\frac{0}{7}=0[/tex]
∵ The slope of AB = The slope of CD
∴ AD // BC
The correct answer is:
Yes. AB is parallel to CD and AD is parallel to BC ⇒ (B)
The person who asked to see the full pic here it is & if anyone wants to help out also
okay I found out that the answer is 2
Graph the line y = kx +1 if it is known that the point M belongs to it: M(1,3)
Answer:
[tex]M(x,y) = (1,3)[/tex] belongs to the line [tex]y = 2\cdot x +1[/tex]. Please see attachment below to know the graph of the line.
Step-by-step explanation:
From Analytical Geometry we know that a line is represented by this formula:
[tex]y=k\cdot x + b[/tex]
Where:
[tex]x[/tex] - Independent variable, dimensionless.
[tex]y[/tex] - Dependent variable, dimensionless.
[tex]k[/tex] - Slope, dimensionless.
[tex]b[/tex] - y-Intercept, dimensionless.
If we know that [tex]b = 1[/tex], [tex]x = 1[/tex] and [tex]y = 3[/tex], then we clear slope and solve the resulting expression:
[tex]k = \frac{y-b}{x}[/tex]
[tex]k = \frac{3-1}{1}[/tex]
[tex]k = 2[/tex]
Then, we conclude that point [tex]M(x,y) = (1,3)[/tex] belongs to the line [tex]y = 2\cdot x +1[/tex], whose graph is presented below.
Answer:
Graph the points, (2, -7), (1, -3)
Step-by-step explanation:
I did it in rsm xD
What is the completely factored form of this expression?
162 - 50x^4
Answer:
Step-by-step explanation:
Answer:
2(9-5x^2)(9+5x^2)
Step-by-step explanation
do #9 and #10 pls (will give brainliest if correct!)
Answer:
9) 25 is the hypotenuse so it should be replaced with c, not a or b.
10) 6.5 feet
Step-by-step explanation:
9) The pythagorean theorem is [tex]a^2+b^2=c^2[/tex].
The pythagorean theorem says that c MUST always be the hypotenuse length. The hypotenuse side can be identified because it is always on the opposite side of the right angle and the diagonal one (and of course the longest side).
a and b can be any other side except for c. What they did wrong was that they put the hypotenuse side as b.
Now to correct the error
[tex]a^2+b^2=c^2\\7^2+b^2=25^2\\49+b^2=625\\49+b^2-49=625-49\\b^2=576\\[/tex]
[tex]\sqrt{b^2}=\sqrt{576} \\b=24[/tex]
The missing side length is 24.
10) The question is asking for the c length (which is the hypotenuse). Use pythagorean theorem to solve for c.
[tex]a^2+b^2=c^2\\5.6^2+3.3^2=c^2\\42.25=c^2\\\sqrt{42.25}=\sqrt{c^2}\\6.5=c[/tex]
The length of the wire is 6.5 feet.
Leanor pays a total of $16.50 for every 6 shirts she has dry-cleaned. Which graph models a
relationship with the same unit rate?
Answer:
Graph (F)
Step-by-step explanation:
Leanor pays a total of $16.50 for every 6 shirts she has dry cleaned.
Unit rate to dry clean the shirts will show the slope of the line plotted for price Vs number of shirts dry cleaned.
Unit rate = [tex]\frac{16.5}{6}[/tex] = $2.75 per shirt
≈ $2.8 per shirt
From the given graphs attached,
Slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
Graph (F)
Slope = [tex]\frac{25}{9}=2.78[/tex]
≈ 2.8
Graph (G)
Slope = [tex]\frac{50}{3}=26.67[/tex]
Graph (H)
Slope = [tex]\frac{20}{2}=10[/tex]
Graph (J)
Slope = [tex]\frac{45}{2}[/tex] = 22.5
Therefore, graph (F) will be the answer.
Answer:the answer is f be cause if u go to 6 and go up you are around 16
Step-by-step explanation:
-5(x – 3) – 3x - 2 = 45
Can someone please help me explain this to me thank you!
I need help ASAP please!!!
Answer: The answer is b 100+(-500)
Step-by-step explanation: If you solve for the original and this answer, they will both equal -400
Answer
The answer is B.
Step-by-step explanation:
step 1: 100+(-500)=-400
Step 2: 100-500= -400
also because
A=600
C= 600
D= -600
So...
B is the logical choice
Part I
How does a translations 6 units up and 1 unit left change the coordinates of a shape? Question from edmentum
You need to be more specific
Doug starts his day at the video game arcade with $25.00 Each game costs 0.75 Which function models the sequence showing the money Doug haslen after each video game that he plays?
O A (g) = 259 -0.75, where is the number of games played
O(9) = -0.75(9 - 1) 25 where g is the number of games played
O c f(a) =-0.759 + 25, where is the number of games played
Daysi
Of(9) = 25(9 - 1) - 0.75, where is the number of games played
Answer:
i dont understand your answer choices but here is the expression with representations:
m=25-0.75p, where p is the number of games played and m is the amount of money he has left
can i get a thanks and brainliest please?
5 stars and 3 hearts.
Which ratios describe the model? Check all that apply.
A. 3 hearts to 5 stars
B. 3 stars to 5 hearts
C. 5 hearts to 3 stars
D. 5 stars to 3 hearts
Answer:
a and d
Step-by-step explanation:
i just took the Assignment
Answer:
The answer is A and D
Step-by-step explanation:
5 stars and 3 hearts.
That in ratio form would be 5 stars to 3 hearts, or 3 hearts to 5 stars.
Therefore, your answer is A and D
A company's gross profit rate measures how well the company maximizes its profits in terms of cost and sales.
The gross profit rate,P , is calculated using the formula P= s-c/s, where s is the net sales and c is the cost of goods sold.
Which of the following equations correctly rearranges the formula to SOLVE FOR C, the cost of goods sold?
A)c=P
B)c=-P
C)c=Ps-s
D)c=-Ps+s
Answer:
D
Step-by-step explanation:
P = s-c/s
~Multiply s to both sides
Ps = -c + s
~Subtract s to both sides
Ps - s = -c
~Divide -1 to both sides
-ps + s = c
Best of Luck!
Answer:
C=-PS+S
Step-by-step explanation:
Make sure there capital letters :)
Decrease 40 by 12.5%
Answer:
35
Step-by-step explanation:
Multiply 40 by 0.125 (12.5%) and you get 5
Subtract 5 from 40
35
Find three consecutive even integers such that the sum of the smallest number and twice the middle number is 20 more than the largest number.
Answer:
10, 12, 14Step-by-step explanation:
Consecutive even integers increase by 2.
x ← an integer
2x ← an even integer (the smallest)
2x+2 ← next even integer consecutive to 2x (the middle one)
2x+2+2=2x+4 ← the last even integer consecutive to 2x+2 (the largest)
2(2x+2) ← twice the middle number
2x+2(2x+2) ← the sum of the smallest number and twice the middle
2x+4+20 ← 20 more than the largest number
2x + 2(2x + 2) = 2x + 4 + 20
2x + 4x + 4 = 2x + 24
-4 -4
6x = 2x + 20
-2x -2x
4x = 20
÷2 ÷2
2x = 10
2x+2 = 10+2 = 12
2x+4 = 10+4 = 14
What is the measure of x in degrees ?
Answer:
117 degrees
Step-by-step explanation:
Paulie is buying a shirt that was originally priced at $15. The store has a today-only discount of 25%. What is today’s price for the shirt?
Answer:
he is buying it for 11.25. you get this buy multiplying 15 by 25% which equals 3.75 then you subtract 15 by 3.75 and you get 11.25
hope it helps
please mark as brainliest
Step-by-step explanation:
Answer:
11.25$
Step-by-step explanation:
What is the sum of 9.8 and 573.54
I WILL GIVE BRAINLIEST!
Write the equation of the following line in slope-intercept form.
A) y = 2
B) x = -2
C) y = -2
D) x = 2
Answer:
A
Step-by-step explanation:
Answer:
A) y = 2
Step-by-step explanation:
that's definitely it
A pool with 12,000 gallons is drained at 4 gallons per minute.?
A.Proportional
B.Non Proportional
Answer:
proportional
Step-by-step explanation:
good luck!
If q is the midpoint of segment PR, find the coordinates of R if P (11,-2) and Q (4,3)
Answer:
R(-3, 8)
Step-by-step explanation:
R = 2Q -P
R = 2(4, 3) -(11, -2) = (8-11, 6+2)
R = (-3, 8)
_____
You can derive the formula for the endpoint from the formula for the midpoint:
Q = (R + P)/2
R = 2Q - P . . . . . . multiply by 2 and subtract P
what is the answer 4p+9f=60
Answer: F = 6
P = 1.5
Step-by-step explanation:
The scale of a map is 1:10,000,000. What is the real distance between two cities if the distance between them on map is 1.7 dm.
Answer:
1700 km
Step-by-step explanation:
Multiply the map scale by 1.7 dm:
1.7 dm : 17,000,000 dm
At this distance, a more useful unit is km, so we have ...
(17×10^6)(10^-1 m) = 1.7×10^6 m = 1700×10^3 m = 1700 km
Can someone please help me with I appreciate it thank you
Answer:
c = 7.
Step-by-step explanation:
The slope = (y2-y1)/(x2-x1) where (x1,y1) and (x2,y2) are the 2 points.
So here we have the equation
- 3 = (3 - (-3)) /(5 - c)
-3 = 6 / (5 - c) Cross multiply:
-3(5 - c) = 6
-15 + 3c = 6
3c = 6 + 15
3c = 21
c = 7.
Find the measures of two supplementary angles if their measures are in the given ratio.
2:3
Answer:
The measures of the two angles are 72° and 108°
Step-by-step explanation:
Let us revise the meaning of supplementary angles.
The supplementary angles are the angles whose sum of measures
equal to 180°
∵ The ratio between the two supplementary angles is 2 : 3
∵ The sum of the supplementary angles is 180°
→ Let us use the ratio method to solve the question
⇒ ∠1 : ∠2 : ∠1 + ∠2
⇒ 2 : 3 : 5 (2 + 3)
⇒ ? : ? : 180
By using cross multiplication
∵ ∠1 = (2 × 180) ÷ 5
∴ ∠1 = 360 ÷ 5
∴ ∠1 = 72°
∵ ∠2 = (3 × 180) ÷ 5
∴ ∠2 = 540 ÷ 5
∴ ∠2 = 108°
∴ The measures of the two angles are 72° and 108°
Jasmine drives every morning to her office that is 12 miles from her home.
If Jasmine's average driving speed is s mph, how many hours does it take her to drive from her home to the office?
Answer:
(12÷s)·60
Step-by-step explanation:
The hours it takes is 12/s so you multiply 60 to get the minutes. Next time, I would reccomend asking for help from the teacher or doing homework help, instead of putting all the RSM questions online. Thank you and have a good day :)
Answer:
12/s
Step-by-step explanation:
the marks of a student of a class are given below78, 11,99,63,94,78,36,22
Range of mark is
Answer:
88
Step-by-step explanation:
arrange the marks in ascending order
range = highest value - lowest value
= 99 - 11
= 88
I'll give brainliest and 50 points
Write an expression using fractions to show how to determine the amount that each person will pay. Then calculate each person's contributions showing all steps in long division.
Answer:
Fractional Expression for how much each person pays = (64.04/4)
Each person pays $16.01.
Step-by-step explanation:
Complete Question
Write an expression using fractions to show how to determine the amount that each person will pay. Then calculate each person's contributions showing all steps in long division.
The total of the bill is $64.04 and there are 4 people splitting the bill.
Solution
Total amount to be shared equally by 4 persons = $64.04
Fractional Expression for how much each person pays = (64.04/4)
Long division method to do this division.
16.01
4 | 64.04
4
24
24
00
0
04
4
0
Each person pays $16.01.
Hope this Helps!!!
Urgent! Please show work!
Answer:
f(x) = x³ + x² - 22x - 40
Step-by-step explanation:
Given that x = a is a zero of f(x) then (x - a) is a factor
Here the zeros are x = - 4, x = - 2, x = 5 , then the factors are
(x + 4), (x + 2) and (x - 5)
The function is then the product of the factors, that is
f(x) = (x + 4)(x + 2)(x - 5) ← expand the first pair using FOIL
= (x² + 6x + 8)(x - 5) ← distribute
= x³ + 6x² + 8x - 5x² - 30x - 40 ← collect like terms
= x³ + x² - 22x - 40
A smart phone is bought at ₹ 46000. Its value depreciated at the rate of 12% per annum. Find its value after one year.
please answer fast please :)
Answer:
40480
Step-by-step explanation:
find 12% of 46000 and subtract it by 46000
brainliest pls
Answer:
40480
Step-by-step explanation
take 12% of the cost
46000*.12=5520
subtract answer from original number
46000-5520=40480
can someone help with this plz
Answer:
dividemultiplemultiplemultipledivide