Mixed Review for Finding Slope
Calculate the slope of the line that contains the following points. Leave answers as fractions - BUT reduce
your fractions as much as possible!!!!!!! SHOW ALL WORK!!!
1) (4,5) and (-4,3)
2) (-2,-4) and (6,7)
3) (2, -4) and (10,12) 4) (1/2,2) and (1,2/3) 5) (1/4,5) and (5/4,12)
Answers
Answer:
1) slope of the line [tex]m = \frac{1}{4}[/tex]
2) slope of the line [tex]m = \frac{11}{8}[/tex]
3) slope of the line m =2
4) slope of the line [tex]m = \frac{-8}{3}[/tex]
5) slope of the line m =7
Step-by-step explanation:
1)
Given points are (4,5) and (-4,3)
slope of the line Formula
[tex]m = \frac{y_{2} - y_{1} }{x_{2}-x_{1} }[/tex]
[tex]m = \frac{3 - 5 }{-4-4 } = \frac{-2}{-8} = \frac{1}{4}[/tex]
[tex]m = \frac{1}{4}[/tex]
2)
Given points are (-2,-4) and (6,7)
slope of the line Formula
[tex]m = \frac{y_{2} - y_{1} }{x_{2}-x_{1} }[/tex]
[tex]m = \frac{7 - (-4) }{6-(-2) } = \frac{11}{8}[/tex]
[tex]m = \frac{11}{8}[/tex]
3)
Given points are (2, -4) and (10,12)
slope of the line Formula
[tex]m = \frac{y_{2} - y_{1} }{x_{2}-x_{1} }[/tex]
[tex]m = \frac{12 - (-4) }{10-(2) } = \frac{16}{8} =2[/tex]
[tex]m = 2[/tex]
4) Given points are
(1/2,2) and (1, 2/3)
slope of the line Formula
[tex]m = \frac{y_{2} - y_{1} }{x_{2}-x_{1} }[/tex]
[tex]m = \frac{\frac{2}{3} - (2) }{1-(\frac{1}{2} ) } = \frac{\frac{-4}{3} }{\frac{1}{2} }[/tex]
[tex]m = \frac{-8}{3}[/tex]
5)
Given points are
(1/4,5) and (5/4 , 12)
slope of the line Formula
[tex]m = \frac{y_{2} - y_{1} }{x_{2}-x_{1} }[/tex]
[tex]m = \frac{12-5}{\frac{5}{4} -\frac{1}{4} } = \frac{7}{\frac{4}{4} } = 7[/tex]
[tex]m = 7[/tex]
Related Questions
Please answer correctly !!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!
Answers
Answer:
Step 3 they took the square root incorrectly
Step-by-step explanation:
5 ( x-2)^2 +6 = 86
Subtract 6 from each side
5 ( x-2)^2 +6 -6= 86-6
5 ( x-2)^2 = 80
Divide each side by 5
5 ( x-2)^2 /5 = 80/5
(x-2)^2 = 16
Take the square root of each side
sqrt((x-2)^2) = ±sqrt(16)
x-2 = ±4
Daria sells televisions. She earns a fixed amount for each television and an additional $ 20 if the buyer gets an extended warranty. If Daria sells 15 televisions with extended warranties, she earns $ 1 comma 200. How much is the fixed amount Daria earns for each television?
Answers
Answer:
$60
Step-by-step explanation:
Firstly, you would divide $1,200 by 15, which is 80.
This gives you the cost for each television including the additional $20.
Then, you would do 80-20 = 60 to find the cost of the individual television without the warranty.
During a promotional weekend, a state fair gives a free admission to every 165th person that enters the fair. On Saturday, there were 7,303 people attending the fair. On Sunday, there were 7,126 people attending the fair. How many people received a free admission over the two days?
Answers
Answer: 87
Step-by-step explanation:
If it is the 165th person each day
7303/165 = 44.26 ( so 44 free admissions on Saturday)
7126/165 = 43.19 (so 43 free admissions on Sunday)
87 free admissions over the two days
If 165th person where it can carry over from day to day
(7303 + 7126)/165 = 87.49
87 free admissions over the two days
Same answer this time, but could be different in a diferent problem.
A circular rug has a radius of 10 feet. What is the area of the rug? Use 3.14 for π.
Enter your answer
Answers
Answer:
A=314 feet
Step-by-step explanation:
[tex]A=\pi r^{2}[/tex]
[tex]A=3.14*10^{2}[/tex]
[tex]A=3.14*100[/tex]
[tex]A=314 feet[/tex]
plz help with slope question fast
Answers
Answer:
The Answer is D. because -4 passes trough the x intercept and -2 passes through the y
Step-by-step explanation:
Answer:
The answers are:
x-intercept = -4
y-intercept = -2
Step-by-step explanation:
According to the following to graph, you need to find the x-intercept and the y-intercept. The x-intercept, is when a line crosses the x-axis of the graph, and the y-intercept, is when a line crosses the y-axis of the graph.
Finding the x-intercept and the y-intercept:
x-intercept = -4
y-intercept = -2
A pentagon train is made by attaching regular pentagons with 1" sides so that each pentagon, except the two on the ends, is attached to exactly two other pentagons along sides, as shown. How many inches are in the perimeter of a pentagon train made from 85 pentagons?
Answers
Answer:
There are 341 inches from the perimeter of a pentagon train made from 85 pentagons
Step-by-step explanation:
A pentagon is a polygon with five sides. A regular pentagon have all the five sides equal in length and also all the five interior angles equal.
The perimeter of a pentagon = 5l
Nof for a pentagon train attached to 1 pentagon by its sides;
The perimeter = (5 × 1 - (1-1))
Perimeter = 5
For pentagon train attached to two pentagon
Perimeter = ( 5×2 - (2-1))
Perimeter = (10 1)
Perimeter = 9
For pentagon train with n pentagon
Perimeter = ( 5× n -(n-1))
Perimeter = 5n - n+1
Perimeter = 4n + 1
∴ For pentagon train attached to 85 pentagon; where n=85
Perimeter = 4 n + 1
Perimeter = (4 × 85)+1
Perimeter = 340+1
Perimeter = 341 inches
There are 341 inches from the perimeter of a pentagon train made from 85 pentagons
opposite quantity of. (i) 28 m South (ii)70 km above sea level.
7
Answers
Answer:
1) 28m West 2)70km below sea level
Which function is graphed
Answers
Answer:
Step-by-step explanation:
what kind of graph
Answer:
A) this function has vertical asymptotes at an interval of π.
1/2 cosecx is the answer
Step-by-step explanation:
EDGE2020
Find the value of x in the triangle shown below
Answers
Answer:
28°
Step-by-step explanation:
every Triangle equals to 180°
85+67=152
180-152=28
28°
Solving Solutions:
85° + 67° = 152°
180° - 152° = 28°
CAN ANYONE HELP ASAP!!!!
Answers
Answer:
C and D
Step-by-step explanation:
since sqrt(4) = 2, we can replace all of the sqrt(4) in D to 2
Once we do that, it becomes
2 1
1 2
2 1
or C
In ΔXYZ, the measure of ∠Z=90°, YZ = 5.6 feet, and ZX = 6.5 feet. Find the measure of ∠X to the nearest degree.
Answers
Answer:
41 degrees
Step-by-step explanation:
Here in this question , we are interested in calculating the value of angle x.
Firstly, we shall be needing a diagrammatic representation, please check attachment for this.
We are interested in calculating angle x, which represents the angle facing the opposite. The other third side that we have is referred to as the adjacent.
The trigonometric ratio to use here is thus called the tangent.
Mathematically the tangent of an angle = length of the opposite/length of the adjacent
The value 5.6 is our opposite since it faces the angle while the length 6.5 is the adjacent.
Thus;
tan x = 5.6/6.5
tan x = 0.8615
x = arc tan 0.8615
x = 40.75 degrees which is 41 degrees to the nearest degree
Answer:
41
Step-by-step explanation:
tan −1 ( 6.5 / 5.6 ) = 40.746 = 41
In the triangle below x=? Round to the nearest tenth. Please help 25 points!!!
Answers
Answer:
x = 38.7
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opposite/ adjacent
tan x = 8/10
Take the inverse tan of each side
tan ^-1 ( tan x) = tan ^-1 (8/10)
x = tan ^-1 (8/10)
x =38.65980825
To the nearest tenth
x = 38.7
Answer:
38.7
Step-by-step explanation:
Evaluate the expression for p = 4.
p^2=
Answers
4^2 = 4 * 4.
4 * 4 = 16.
Therefore, p ^2 = 16.
Answer:
16
Step-by-step explanation:
i showed the work in the picture above
Solve for j.
j + 42
---------- =2
-7
what does j eqaul
Answers
Answer:
The value of [tex]j[/tex]:
[tex]j = -56[/tex]
Step-by-step explanation:
Solve for [tex]j[/tex]:
[tex]\frac{j + 42}{-7} = 2[/tex]
-Multiply both sides by -7:
[tex]j + 42 = 2 ( -7)[/tex]
[tex]j + 42 = -14[/tex]
-Subtract both sides by 42:
[tex]j + 42 - 42 = -14 - 42[/tex]
[tex]j = -56[/tex]
So, therefore, [tex]x = -56[/tex] would be the final answer.
Answer:
j = -47
Step-by-step explanation:
I think you meant j + 42 - 2 = -7
So what I would do is first find the two number we know which would be
42 - 2 = 40
So, then the equation comes down to j + 40 = -7
So,
j = -47
Because = -47 + 40 = -7
Have a good day. :)
Hope this helps!
(brainliest would be appreciated)
2/5 y + 1/5 x -0.2y - 6 + (-2)
Answers
Answer:
[tex]0.2y+0.2x-8[/tex]
Step-by-step explanation:
[tex]\frac{2}{5}y+\frac{1}{5}x-0.2y-6+\left(-2\right)[/tex]
[tex]=\frac{2}{5}y+\frac{1}{5}x-0.2y-6-2[/tex]
[tex]=\frac{2}{5}y-0.2y+\frac{1}{5}x-6-2[/tex]
[tex]\frac{2}{5}y-0.2y[/tex]
[tex]=y\left(\frac{2}{5}-0.2\right)[/tex]
[tex]\frac{2}{5}-0.2=0.2[/tex]
[tex]=0.2y[/tex]
[tex]=0.2y+\frac{1}{5}x-6-2[/tex]
[tex]\frac{1}{5}x[/tex]
[tex]=\frac{1\cdot \:x}{5}[/tex]
[tex]=\frac{x}{5}[/tex]
[tex]=0.2y+\frac{x}{5}-6-2[/tex]
[tex]=0.2y+0.2x-8[/tex]
Which statement best explains why this expression is equal to 9.4? A)Any expression multiplied by 0 equals 0. B)Any number divided by its opposite equals 0. C)The fraction is equal to −9.4. Any number added to its opposite results in the number itself. D)The expression does not have a value of 9.4.
Answers
Answer: A.
Step-by-step explanation:
yeet
Answer:
A.
Step-by-step explanation:
Because if you multiply out the top of the fraction to simplify it, it will equal zero. And zero divided by any number is equal to zero because no number fits into zero. So A. would be the best answer since you are multiplying an expression by zero on the top, and you can't get any number other then zero for the answer of the fraction. And 0 + 9.4 = 9.4.
R_T
Choose the relationship symbol that makes the statement true.
Answers
Answer:
R=T
Step-by-step explanation:
We could say that the same symbol = makes it look like a true statement.
We could say that the same symbol makes us see a true statement.
In this case we are showing that R corresponds to T therefore it is true or confirmed, regardless of the value that R has.
The integer which lies between -1/4 and 3/2 are:
a)0 and 1 b)0 and -1 c)1 and -1 d)-1 and 2
Which option is right?
Answers
Answer:
The correct answer is a) 0 and 1.
Step-by-step explanation:
By converting the fractions into decimals, we can see that -1/4 is equivalent to -0.25 and 3/2 equals 1.5. Therefore, anything with a value outside of -0.25 < x < 1 should be marked out. So, anything containing anything less than -0.25 cannot be considered (i.e., -1) and anything above one cannot be considered (i.e., 2). Therefore, the only option left is a) 0 and 1.
Answer:
a) 0 and 1
Step-by-step explanation:
the easiest way to think about this problem is using a number line to picture where the numbers are. I cant really do that easily on here but i will try my best to explain it with words.
If you think about where the numbers are on a number line you should see that -1/4 is slightly less than zero, which would put it to the left of zero.
Likewise, if you think about 3/2, which is equal to [tex]1\frac{1}{2}[/tex] it is slightly bigger than 1, which would put it to the right of 1 on a number line.
So if you think about the integers (which are numbers that can be positive or negative but do not involve decimals or fractions ex. -2, -1, 0, 1, 2 etc.) which are between those two numbers on the number line, the only integers are 0 and 1, which gives you your answer.
The side of the parallelogram in the figure above are given in cm.
Find x and y and the perimeter of the parallelogram.
Answers
solution
or, 2 x + y = 5 y - 8 being opposite side of
parallelogram
or , 2x =5 y - y - 8
or, 2x = 4 y - 8
or, x = 4y - 8/2
or,. x = 2y- 4
therefore, 2x + y is equal to 5 y - 8 Being the opposite side of a parallelogram
now,
3y + 2 x is equal to 4x - 3 being opposite side of a parallelogram
or, 3y + 2 x-4x = -3
or,. 3y -2x = -3
Please answer correctly !!!! Will mark brainliest !!!!!!!!!
Answers
Answer:
Area = l x w
Area = (x + 1)(x + 7)
Area = x² + 7x + x + 7
Area = x² + 8x + 7
Step-by-step explanation:
The expression 4x, x gives the perimeter of a square with a side length of xxx units.
What is the perimeter of a square with a side length of 5/7
start fraction, 5/7, end fraction units?
Answers
Answer: 20 over 7 units
Step-by-step explanation:
B
7
25
C
24
A
Find sin(cx) in the triangle.
Answers
Answer:
The sine of cx in the triangle is the opposite side/the hypotenuse
sin(cx) = 7/25
sin(cx) = 0.28
cx = sin^-1 (0.28)
cx = 16.26 degrees
the side of a triangle are in the ratio of 3:8:7. if the perimeter of the triangle is 63 cm, how long is the shorter side?
Answers
Answer:
10.5 cm
Step-by-step explanation:
Multiply the ratios by x
3x : 8x: 7x
Add the sides together
3x+8x+7x to get the perimeter
18x = 63
Divide each side by 18
18x/18 = 63/18
x =3.5
The shorter side is 3x
3*3.5=10.5 cm
Solve the exponential equation for xxx.
26x+7=(18)1−5x
Answers
Answer:
x=11/31
Step-by-step explanation:
HMU if u need the work shown
????????????????????
Answers
Answer:
A) DEBBIE: 1p+4t=29
B) JOEY: 5p+2t=28
Step-by-step explanation:
What is the simplified form of StartFractio negative 24 m Superscript 5 Baseline n Superscript 4 Baseline Over 8 m Superscript negative 7 Baseline n Superscript negative 2 Baseline End Fraction? Assume m not-equals 0, n not-equals 0. Start-fraction 3 Over m Superscript 35 Baseline n Superscript 8 Baseline End-fraction Negative Start-fraction 3 n squared Over m squared End-fraction Negative 3 m Superscript 12 Baseline n Superscript 6 Baseline 3 m Superscript 35 Baseline n Superscript 8 Baseline
Answers
Answer:
Option C on E2020
Step-by-step explanation:
just finished the test
Answer:
C
Step-by-step explanation:
Which is a simplified form of the expression 2(2j + 3) – 3j? A. -j + 3 B. 2j + 3 C. j + 6 D. -j + 6
Answers
Answer:
C. j + 6
Step-by-step explanation:
2(2j + 3) - 3j
multiply each term in the parentheses by 2
2 x 2j + 2 x 3
calculate the product
4j + 6 -3j
collect like terms by subtracting their coefficients
(4 - 3)j
then subtract the numbers
1j
when the term has a coefficient of 1, it doesn't have to be written
j
then plug in the other number and that's your answer
j + 6
Answer:
The answer is C).Step-by-step explanation:
C. j + 6
Hope this helps!! :)
The dimensions of a box are x, 2x, and 3x. Each dimension is increased by 3. Calculate the volume of the box.
Answers
Answer:
The volume of the box would be 6x³+33x²+54x+27.
Step-by-step explanation:
The new dimensions of the box would be (x+3), (2x+3), and (3x+3). Since the volume of a rectangular prism are calculated by multiplying the length, width, and depth, we can just multiply all three of these dimensions together to come up with the answer.
Using foil on the first two terms originally you get (x+3)×(2x+3)= 2x²+3x+6x+9 which can be simplified to 2x²+9x+9.
Then you multiply this equation by (3x+3). (2x²+9x+9)×(3x+3)= 6x³+6x²+27x²+27x+27x+27 which can be simplified to 6x³+33x²+54x+27.
Answer:
6x³+33x²+54x+27
Step-by-step explanation:
dimensions are now:
x+3, 2x+3, 3x+3
Volume
V=lwhV= (x+3)(2x+3)(3x+3)= 3(x+1)(x+3)(2x+3)= 3( x² + 4x+3)(2x+3)= 3(2x³+11x²+18x+9)=6x³+33x²+54x+27what does 9n-2<7+20 equal?
Answers
Answer:
[tex]n<\frac{29}{9}\\n<3.222222.....\\[/tex]
n ≈ 3
Step-by-step explanation:
9n-2<7+20
[tex]9n-2<27 \leftarrow \text {Combine Like Terms}\\9n-2+2<27+2 \leftarrow \text {Addition Property of Equality}\\9n<29\\\frac{9n<29}{9} \leftarrow \text {Divsion Property of Equality}\\\boxed{n<\frac{29}{9}}[/tex]
plslslslsl help ASAP you win win brainlist
Answers
Answer:
78 dollars
Step-by-step explanation:
Take the prices and multiply by the percent commission
778 * 10 %
Change to decimal form
778 * .10
77.80
Round to the nearest dollar
78
Answer:77.80
Step-by-step explanation:
