Find the slope of each line in the figure.
Slope of p =
Slope of q =
Slope of r =
Slope of m =
Slope of n =
Answers
Answer:
slope of p= -7/12
slope of q= -3/6.8
slope of r= -16/6.4
slope of m= 6.2/15.5
slope of n= 6.8/17
Step-by-step explanation:
The slopes of the line are given as 2.5 for p and q and -2.5 for r, m and n respectively.
What is the slope of straight line?The slope of a straight line is the tangent of the angle formed by it with the positive x axis as the reference.
The negative slope indicates the rate of decrease while the positive shows the rate of increase.
The slope of the given lines can be obtained as follows,
(a) In order to find slope of line p,
Use the formula m = (x₂ - x₁)/(y₂ - y₁) and substitute the corresponding values to get,
m = (-3 - 8)/(0.4 - (-4))
⇒ m = -2.5
(b) In order to find slope of line q,
Use the formula m = (x₂ - x₁)/(y₂ - y₁) and substitute the corresponding values to get,
m = (13 - 0)/(6.8 - 12)
⇒ m = -2.5
(c) In order to find slope of line r,
Use the formula m = (x₂ - x₁)/(y₂ - y₁) and substitute the corresponding values to get,
m = (13 - (-3))/(6.8 - 0.4)
⇒ m = 2.5
(d) In order to find slope of line m,
Use the formula m = (x₂ - x₁)/(y₂ - y₁) and substitute the corresponding values to get,
m = (-15.5 - 0)/(0 - 6.2)
⇒ m = 2.5
(e) In order to find slope of line n,
Use the formula m = (x₂ - x₁)/(y₂ - y₁) and substitute the corresponding values to get,
m = (-5 - 12)/(- 6.8 - 0)
⇒ m = 2.5
Hence, the slopes of first two lines are 2.5 and of the remaining three are 2.5.
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Related Questions
can somebody solve this
Answers
Answer:
36
Step-by-step explanation:
Probably really easy and I’m just overthinking it but please help me
Answers
42 divied by 3kg the after you get that answer then multiply that by 4kg
Step-by-step explanation:
3 kg of rump steak = £ 42
So, 1 kg of rump steak = £ 42/3 = £ 14
So, 4 kg of rump steak = £ 14 × 4 = £ 56
write -9 7/10 as a decimal number
Answers
Answer:
9 7/10 is a decimal number is 9.7
a) Write 7.1 x 10² as an ordinary number.
Answers
Move the decimal two spaces to the right
Answer:
710 is the answer.
Step-by-step explanation:
7.1 x 10^2
10^2= 10 x 10 = 100
so,
7.1 x 100 = 710
Pls help me....3x+4+2x+6yb+9×+1
NEED HELP RIGHT NOW I'M AT SCHOOL PLSSSSS
Answers
Answer:6yb+14x+1 is it Simplify ok
Step-by-step explanation:
Evaluate each value expression for the given value of x : 4x/3, x=9
FAST PLSSS!!!!!!!!!!!!!
Answers
Answer:
5x
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
if 6 litres of petrol cover's 60km , how many litres of petrol will a car need to cover 50km
Answers
Answer:
5 litres
Step-by-step explanation:
60 ÷ 10 = 6
50 ÷ 10 = 5
So 5 litres of petro
I hope this helped, please mark Brainliest, thank you!
What value of makes the equation 0.25(10x-3)= 1.5(x+2) - 0.75 true?
A. x = 3
B. x= 4
C. x= 3.75
D. x= 4.25
Answers
Answer:
3.75
Step-by-step explanation:
2.5x-.75=1.5x+3
x=3.75
If 20 apples cost $7, what is the unit cost?
Answers
Answer:
35 cents per apple
Step-by-step explanation:
its 7 / 20 and you get 0.35
abel has $10. he buys a hotdogs for $2,and then he buys 5 bags of chips. if he has no money left, what was the cost of each bag
Answers
Answer:
$1.6
Step-by-step explanation:
do 10-2 then you do 8 dived by 5
Answer:
The cost of each bag is $1.6 according to my calculations.
Step-by-step explanation:
In Tallahassee, Florida, CR 373 intersects non-parallel streets CR 363 and Monroe Street. Which locations/structures represent consecutive (same side) interior angles? Select all that apply.
Fast Food 2 and the Park
the Lake and the Post Office
the Apartments and Fast Food 1
Fast Food 2 and the Grocery Store
the Apartments and the Post Office
the Big Box Store and the Grocery Store
Answers
Answer:
Option (3)
Step-by-step explanation:
Option (1)
Fast food 2 and the Park → Consecutive exterior angles
Option (2)
The lake and the Post office→ Consecutive exterior angles
Option (3)
The Apartments and Fast food 1 → Consecutive interior angles
Option (4)
Fast food 2 and the Grocery store → Linear pair of angles
Option (5)
The Apartments and the Post office → Linear pair of angles
Option (6)
The Big Box Store and the Grocery Store → Consecutive interior angles
Therefore, Option (3) and Option (6) will be the correct options.
After 8 months, you have been able to save $937. You have the ability to save $130 per month. Build a model and write an explanation of the y- intercept. What is the rate of change?
Answers
Given:
After 8 months, you have been able to save $937.
You have the ability to save $130 per month.
To find:
The model for the situation and y-intercept and rate of change.
Solution:
Let y be the ability to saving after x months.
Ability to save in one month = $130
Ability to save in x months = $130x
So, total ability is
[tex]y=130x+b[/tex] ...(i)
where, b is initial savings.
After 8 months, you have been able to save $937. So, the point is (8,937).
Put x=8 and y=937 in (i),
[tex]937=130(8)+b[/tex]
[tex]937=1040+b[/tex]
[tex]937-1040=b[/tex]
[tex]-103=b[/tex]
So, the y-intercept is -103. Here, negative sign represents that we cannot able to save initially or we have loan or liabilities of $103.
Put b=-103 in (i).
[tex]y=130x+(-103)[/tex]
[tex]y=130x-103[/tex]
On comparing with slope intercept form, we get
Slope = 130 and y-intercept = -103
Therefore, the slope is 130 and y-intercept is -103.
Sylvia plans to place 617 stamps in an album. Each page of the album holds 5 stamps. She uses division to find out how many full pages she will have. How many full pages will she have?
Answers
Answer:
123 full pages
Step-by-step explanation:
Given
[tex]Total\ Stamps = 617\ stamps[/tex]
[tex]Each\ Page = 5\ stamps[/tex]
Required
Determine the number of full page
To do this, we simply divide the total stamps by stamps in each page;
[tex]Pages = \frac{Total\ Stamps}{Each\ Page}[/tex]
[tex]Pages = \frac{617}{5}[/tex]
[tex]Pages = 123.4[/tex]
Then we record only the quotient
The quotient is the digits before the decimal
[tex]Pages = 123[/tex]
Hence, she has 123 full pages
P>.9 and it is found the statistic is 1.04 Test the claim with 5% significance level. is the test left right or two tailed and what is the p value
Answers
Complete Question
The alternative hypothesis is [tex]H_a : p > 0.9[/tex] and it is found the statistic is 1.04 Test the claim with 5% significance level. is the test left right or two tailed and what is the p value
Answer:
This a right tailed test
The p-value is p-value = 0.14917
Step-by-step explanation:
From the question we are told that
The alternative hypothesis is [tex]H_a : p > 0.9[/tex]
The test statistics is [tex]z = 1.04[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
Generally this a right tailed test because from the alternative hypothesis p > 0.9 i.e due to the greater than sign signifying that test will be focusing on the right tail of the normal curve
From the z table the area under the normal curve to the right corresponding to 1.04 is
P( Z> 1.04 ) = 0.14917
Generally the p-value is mathematically represented as
p-value = P( Z> 1.04 ) = 0.14917
Pedro and John are going on a field trip with school. Together the boys have $62 to spend on the trip. If Pedro has $15 more than John, how much money does John have? Write a function rule (equation) that represents the situation.
Answers
Answer:
John has $23.5Step-by-step explanation:
Step one:
we are told that their joint amount is $62
let John's amount be x
and Pedro's amount be y
so that y=x+15
Step two:
The equation to represent the situation is
62=x+(x+15)
open the bracket and solve for x we have
62=x+x+15
62=2x+15
2x=62-15
2x=47
divide both sides by 2
x=47/2
x=23.5
John has $23.5
10
Steve has 54 stamps in his collection of 13€,
294, and 45¢ stamps, totaling a value of $15.98.
If the number of 13¢ stamps is doubled, the
new total value of his stamp collection would
be $17.80. Find the number of each type of
stamp in his collection.
A) 14- 13€, 24 - 294, 16 - 45€
they felt like it
B) 16- 134, 25 - 294, 13- 45°
she lost a bet
C) 15 - 13€, 24-29€, 15 - 45°
she was bored
D) 15 - 13€, 25 - 294, 14- 454
she thought it was cool
E) 14- 13¢, 25 - 29%, 15 - 45°
it would be fun
Gina Wison II Ting Alpebra LC), 2016
Answers
This question was not written properly
Complete Question
Steve has 54 stamps in his collection of 13 cent, 29 cent, and 45 cent stamps, totaling a value of $15.98. If the number of 13 cent stamps is doubled, the new total value of his stamp collection would be $17.80. Find the number of each type of stamp in his collection.
Answer:
a) The number of 13 cent = 14
b) The number of 29 cent = 24
c) The number of 45 cent = 16
Step-by-step explanation:
We are told he has 54 stamps in total.
These stamps are;13 cent, 29 cent, and 45 cent stamps.
Let's
Number of 13 cent = a
Number of 29 cent = b
Number of 45 cent = c
Hence,
a + b + c = 54........... Equation 1
The total value of the 3 stamps are $15.98.
1 cent = $0.01
We have
0.13a + 0.29b + 0.45c= $15.98 ......... Equation 2
We know from the question that:
13 cent stamps is doubled, the new total value of his stamp collection would be $17.80.
Therefore
2(0.13a) + 0.29b + 0.45c = 17.8
0.26a + 0.29b + 0.45c = 17.8 ......... Equation 3
Combining Equation 2 and 3 together
0.13a + 0.29b + 0.45c= 15.98 ......... Equation 2
0.26a + 0.29b + 0.45c = 17.8 ......... Equation 3
We eliminate b and c by Subtracting Equation 3 from 3
0.13a = 1.82
a = 1.82/0.13
a = 14
a + b + c = 54........... Equation 1
Since a = 14
14 + b + c = 54
b + c = 54 - 14
b + c = 40
c = 40 - b
Substitute 40 - b for c and 14 for a is Equation 2
0.13a + 0.29b + 0.45c= 15.98 ......... Equation 2
0.13(14 ) + 0.29b + 0.45(40 - b) = 15.98
= 1.82 + 0.29b + 18 - 0.45b = 15.98
Collect like terms
1.82 + 18 - 15.98 = 0.45b - 0.29b
3.84 = 0.16b
b = 3.84/0.16
b = 24
Hence: Solving for c
a + b + c = 54........... Equation 1
14 + 24 + c = 54
38 + c = 54
c = 54 - 38
c = 16
Therefore,
The number of 13 cent = 14
The number of 29 cent = 24
The number of 45 cent = 16
What is the volume of a box that measures 12cm by 7cm by 19cm
Answers
Answer:
1,596 cm cubed
Step-by-step explanation:
Volume of box = 12*7*19= 1,596 cm cubed
Answer:
1596
Step-by-step explanation:
To find the volume of a box, you multiply the length, width, and height of the box.
So, 12 times 7 is 84 times 19 is 1596.
Use the information to complete the task.
The ratio of fluid Ounces of milk to fluid Ounces of water in a soup recipe is 3 to 4.
Use the ratio to complete the table. Enter the answer in each box.
Milk (fluid Ounces) Water (fluid ounces)
9
28
27
60
Answers
Answer:
Step-by-step explanation:
3:4
9:12
28:37.3
27:36
60:80
1+8k=-6+8k how many solutions? marking brainlyest
Answers
Answer:
there is no solutions
Step-by-step explanation:
Answer:
The equation has no solution
Step-by-step explanation:
1 does not equal -6
plz frist to answer will be brainliest
Answers
Answer:
D
Step-by-step explanation:
p^2
What number should be placed in the box to help complete the division calculation? Long division setup showing an incomplete calculation. 16 is in the divisor, 3426 is in the dividend, and 2 hundreds and 1 tens is written in the quotient. 3200 is subtracted from 3426 to give 226. An unknown value represented by a box is being subtracted from 226.
Answers
Answer:
The unknown value is being subtracted from 226 is 160
Step-by-step explanation:
Long division setup showing an incomplete calculation
16 is in the divisor 3426 is in the dividend 2 hundreds and 1 tens is written in the quotient 3200 is subtracted from 3426 to give 226 An unknown value represented by a box is being subtracted from 226so,
The dividend = 3426
The divisor = 16
2 hundreds means 200 and 1 tens means 10
∵ The quotient = 200 + 10 + x
∵ Dividend = divisor × quotient
∴ (16 × 200) + (16 × 10) + (16 × x) +remainder = 3426
∵ 16 × 200 = 3200
Subtract 3200 from the dividend
∴ 3426 - 3200 = 226
∵ 16 × 10 = 160
∴ 226- 160 = 66
⇒160is the unknown value
∵ 16 × x = 16x
∵ 66 - 16x = 0
∴ 66 = 16x
- Divide both sides by 16
∴ x = 4 and remainder = 2
∴ 3426 ÷ 16 = 200 + 10 + 4
∴ 3426 ÷ 16 = 214
∴ From the steps above the missing number subtracted from
226 is 160
The unknown value is being subtracted from 226 is 160
Which expression represents the word phrase the product of 3 and 6 more than a number? 3(x+6) 3(6−x) 3x + 6 I don't know.
Answers
Answer:
The answer would be 3(x + 6).
3(x+6) is the expression represents the word phrase the product of 3 and 6 more than a number
What is Expression?An expression is combination of variables, numbers and operators.
Given,
We need to find the expression of word phrase "the product of 3 and 6 more than a number"
Product means multiplication of two or more numbers.
more than a number means a number is added to it.
Here in the given phrase, x is the added number.
6 more than a number means 6+x
the product of 3 and 6 more than a number
3(x+6)
Hence 3(x+6) is the expression represents the word phrase the product of 3 and 6 more than a number
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Which fraction is not equivalent to 9/12 ?
Answers
Answer:
16/24 is the correct answer.
Step-by-step explanation:
9/12 = 3/4
24/32 = 3/4
6/8 = 3/4
15/20 = 3/4
16/24 = 2/3
Answer:
D. 16/24
Step-by-step explanation:
If you simplify 9/12 = 3/4 because (9/12) ÷ 3
So let's just simplify the rest.
15/20 = 3/4
(15/20) ÷ 5 = 3/4
24/32 = 3/4
(24/32) ÷ 8 = 3/4
6/8 = 3/4
(6/8) ÷ 2 = 3/4
So the answer is 16/24
16/24 = 2/3
Hope this helps ya!!!
The product of 2 and y is at least 10. solving inequalities
Answers
The “>” has a line underneath it
Answer:
2y>10
y>5 is your answer
-37 - 7r = -3(5r - 9)
Answers
Answer:
r=8
Step-by-step explanation:
-37-7r= -15r+27
-7r=-15r+64
8r=64
divide 8
r=8
Answer:
I have the answer:).
Step-by-step explanation:
According to a high-standard calculator, r = 8.
Hope I can help:)!!
Miguel bikes 23 km per hour and starts at mile 10. Gabby bies 28 km per hour and starts at mile 0. Which system of linear equations represents this situation?
Answers
Answer:
y = 23x + 10
y = 28x + 0
Step-by-step explanation:
Given that:
Miguel :
Velocity = 23 km/hr
Starting position = 10 miles
Gabby:
Velocity = 28 km/hr
Starting position = 0 miles
The general form of a linear equation :
y = mx + c
In the scenario above ; the starting points corresponds to the intercept, c
The distance moved per hour (velocity) is the slope (m), which is the change in y per unit change in x
Hence ;
Miguel:
y = 23x + 10
Gabby:
y = 28x + 0
PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
Answers
Answer:
-12
Step-by-step explanation:
Each dash is +-4
If f(x) = 3x - 1 and 2f(b) = 28, what is the value of f(2b)?
Answers
=================================
Work Shown:
Solve the second equation for f(b)
2f(b) = 28
f(b) = 28/2
f(b) = 14
----------
Plug in x = b and solve for b
f(x) = 3x-1
f(b) = 3b-1 ... replace every x with b
14 = 3b-1 ..... plug in f(b) = 14
3b-1 = 14
3b = 14+1
3b = 15
b = 15/3
b = 5
-----------
f(x) = 3x-1
f(2b) = 3(2b)-1 .... replace every x with 2b
f(2b) = 3(2*5)-1 .... plug in b = 5
f(2b) = 3*10-1
f(2b) = 30-1
f(2b) = 29
Does the table show a proportional relationship? If so, what is the value of y when x is 11
Answers
Answer:
Yes, the table shows a proportional relationship
The value of y when x is 11 is 1331
Step-by-step explanation:
Let us check the relation between x and y in the table
∵ x = 4 and y = 64
∵ 64 = 4³
∴ y = x³
∵ x = 5 and y = 125
∵ 125 = 5³
∴ y = x³
∵ x = 6 and y = 216
∵ 216 = 6³
∴ y = x³
∵ x = 10 and y = 1000
∵ 1000 = 10³
∴ y = x³
∵ All the values on the table give the same relation
∴ x and y are proportion
∴ The table shows a proportional relationship
∵ y = x³
∵ x = 11
∴ y = (11)³
∴ y = 1331
∴ The value of y when x is 11 is 1331
What is the relationship between angle b and angle d?
A) corresponding
B) vertical
C) supplementary
D) alternate interior
Answers
Answer:
corresponding I believe
Step-by-step explanation:
if I'm wrong someone tell me and I'll go in the corner
Answer:
D) Alternate interior
Step-by-step explanation:
Its a bit hard to explain for me, since I did this stuff in 5th grade and now I'm in 10th.
P.S: Please mark my answer as brainliest, I need it to rank up.