Answer:
gradient = 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope (gradient) and c the y- intercept )
Given
8y + 4x = 5 ( subtract 4x from both sides )
8y = - 4x + 5 ( divide the terms by 8 )
y = - [tex]\frac{1}{2}[/tex] x + [tex]\frac{5}{8}[/tex] ← in slope- intercept form
with gradient = - [tex]\frac{1}{2}[/tex]
Given a line with gradient m then the gradient of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{1}{2} }[/tex] = 2
2 is the gradient of a line that is perpendicular to 8y+4x=5
What is slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane
The slope of line can also be called ad gradient of a line.
The standard form of line or slope intercept form of a line is given by
y=mx+c
where m is the slope of line and c is the y intercept.
The given equation of line is 8y+4x=5
We need to convert the equation of line to Slope intercept form
8y=5-4x
Divide both sides by 8
y=5/8-4/8x
y=-1/2x+5/8
So m is -1/2.
Two lines are said to be perpendicular if m₁m₂ =-1
if m₁=-1/2
then we need to calculate m₂
-1/2m₂=-1
m₂=2
Hence gradient of a line that is perpendicular to 8y+4x=5 is 2.
To learn more on slope of line click:
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What is the slope of the line?
Answer:
1/3
Step-by-step explanation:
Slope formula: y2 - y1/x2 - x1
The monthly utility bills in a city are normally distributed with a mean of $100 and a standard deviation of $12. Find the probability that a randomly selected utility bill is more than $120
Find the slope of the line that passes through the following points: `\left(\frac{2}{5},\frac{2}{3}\right)\ \ \left(-\frac{4}{9},\frac{3}{5}\right)` Show the work/explain!
Answer:
3/50
Step-by-step explanation:
Slope m = y2-y1/x2-x1
From the coordinate
x1 = 2/5, y1 = 2/3, x2 = -4/9 and y2 = 3/5
Substitute;
m = (3/5 - 2/3)/-4/9-2/3
m = (9-10/15)/(-4-6/9)
m = -1/15/-10/9
m = -1/15 * -9/10
m = 9/150
m = 3/50
Hence the slope of the line passing through the points is 3/50
Write the expression using a positive exponent. Leave in fraction form and do not expand numbers, leave in exponential form.
For example, 2^-7 write as 1/2^7, do NOT write as 1/128 or 0.0078125. NO SPACES!
4w^-1
Answer:
Step-by-step explanation:
4w⁻¹ = 4/w¹ = 4/w
If Sally has 8 apples and she cuts them up and put them in the blender and drinks it
an throws it up and gives it to her friend what is the simplified
proportional divided by 3 if its blue?
___________________________________________________________JK XD
I'm tryna learn 7 Languages would anybody be willing to teach me?
1.Korean
2.Japanese
3.Spanish
4.Portuguese
5. Haitian Kreole
6. French
7. Cantonese ( If possible that's more harder than the math question I gave you)
____________________________________________________
Grades are coming soon i'm stressed what 65 x 89 - 9 + 7?
Answer:
What a question
Step-by-step explanation:
I speak Thai but doubt I can teach you
Answer:
5783 and 8/3
Step-by-step explanation:
65 x 89 - 9 + 7 then simplify and came up with 5783. and for the main question the answer is 8/3.and I only know little bit about Spanish only sorry here is all that I know about Spanish Uno is one in Spanish Dos is two on Spanish Tres is three in Spanish Cuatro is four in Spanish Cinco is five in Spanish Seis is six in Spanish Siete is seven in Spanish Ocho is eight in Spanish Nueve is nine in Spanish Diez is ten in Spanish and also Hola is hi and hello in Spanish and last but not least Amigos is friends in Spanish. oh in Thai hello is Sawadee.
You have a triangle with one 70 degree angle and one 40 degree angle. What is the measure of the other angle? A) 40 degrees B) 70 degrees C) 60 degrees D) 180 degrees
Answer:
B) 70 degrees
Step-by-step explanation:
The sum of angles in a triangle = 180 degrees
We are given 2 angles in the triangle = 70° and 40°
The measure of the third angle is
180° = 70° + 40° + 3rd Angle
3rd Angle = 180° - ( 70° + 40°)
= 180° - 110°
= 70°
The measure of the other angle is 70°
Option B is the correct option.
You start at (8, 3). You move down 1 unit. Where do you end?
Answer:
(8, 2)Step-by-step explanation:
Initial point is: (x, y) = (8, 3)
When you move up or down, you change the y-coordinateWhen you move left or right you change the x-coordinateMove down 1 unit:
(x, y) → (x, y - 1)The new point is:
(8, 2)Think About the Process What is true about a figure and an image created by a translation? The
vertices of parallelogram GRAM are G(-9, -9), R(-8, -6), A(-4,-6), and M(-5, -9). Graph
GRAM and G'R'A'M', its image after a translation 11 units right and 2 units up.
What is true about a figure and an image created by a translation? Select all that apply.
A. Each point in the image moves the same distance and direction from the figure.
B. The figure and the image are the same size.
C. Each point in the image has the same x-coordinate as the corresponding point in the figure.
OD. The figure and the image are the same shape.
what is the simplified ratio of 6:4 please explain step by step
Answer:
3:2
Step-by-step explanation:
Answer:
3:2
Step-by-step explanation:
6 and 4 can be both divided by 2
HELPPP PLEASE I NEED AN ANSWER
Answer:
C
Step-by-step explanation:
Hello please help me, i am in middle school, i failed two classes last semester and i failed one class this semester, will i flunk?
Answer:
u should be fine. if anything summer school should help you. college does not care about your middle school grades but you should try your hardest to pass. You have to at least pass
Step-by-step explanation:
John has 8 different flags that he wants to hang on the wall. How many different ways can the flags be arranged in a row?
Answer:
40,320 different ways
Step-by-step explanation:
Here, we want to arrange 8 flags in a row
In the row, there will be 8 places
The first place has 8 flags to be chosen from
The second place has 7 and like that
So mathematically, the number of ways that we can arrange the flags is 8 factorial ways
We have this as:
8! = 40,320 different ways
please help me and i need the solving to
thank you
Answer:
<2 would also be 55°
Step-by-step explanation:
this is because the angles are congruent. but im not 100% sure
If x=7 and y=−3, evaluate the following expression:3x−y2
Answer:
27
Step-by-step explanation:
3x−y2= ? if x= 7 & y= -3
Step 1 insert the numbers where they go:
3(7)-(-3)2=
Step 2 the two negatives become a positive:
3(7)+(3)2=
Step 3 multiply:
21+6=
Step 4 add:
27
f(x)= x^2 - 7x +12
The above equation is in standard form. Write the above equation in factored form
f(x) = (x-r1)(x-r2)
r1 represents first root, r2 represetnts second root
What are the roots?
Remember, x-r1 = 0 and x-r2=0
Answer:
f(x) = (x - 3)(x - 4)
Step-by-step explanation:
f(x)= x^2 - 7x +12 factors immediately into f(x) = (x - 3)(x - 4).
The roots are {3, 4}
Tyler owned the librarian late fees he had to pay a 3% fee on the cost of the books, which was $35.62. What was he charged for a late fee?
Answer:
$1.07 for the late fees.
Step-by-step explanation:
You can find the fee for this price by finding 3% of the $35.62 (total cost of the books). You can find this number by multiplying (35.62*.03).
35.62*.03
1.0686
Round up because you cannot have part of a cent.
$1.07 for the late fees.
If b = 5, what is 632
15
25
75
125
Answer:
Step-by-step explanation:
A
The body of a dump truck is raised to empty a load of sand. How high is the 14-foot-long body from the frame when it is tipped upward by a 60° angle?
Answer:
12.12 feets
Step-by-step explanation:
Based on the attached diagram, we can apply trigonometric rule to obtain h :
Sinθ = opposite / hypotenus
Opposite = h
Hypotenus = 14
Sin 60 = h / 14
0.8660254 = h / 14
h = 0.8660254 * 14
Height, h = 12.12 feets
Help please
Help please
Help please
Help please
Given:
The four table of values.
To find:
The table whose linear function has slope 2.
Solution:
Slope formula:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Consider any two points from each table and find the slope for each table.
For table 1, the two points are (2,1) and (6,-1). So, the slope of the linear function is:
[tex]m=\dfrac{-1-1}{6-2}[/tex]
[tex]m=\dfrac{-2}{4}[/tex]
[tex]m=\dfrac{-1}{2}[/tex]
For table 2, the two points are (0,8) and (2,4). So, the slope of the linear function is:
[tex]m=\dfrac{4-8}{2-0}[/tex]
[tex]m=\dfrac{-4}{2}[/tex]
[tex]m=2[/tex]
For table 3, the two points are (-4,4) and (-2,5). So, the slope of the linear function is:
[tex]m=\dfrac{5-4}{-2-(-4)}[/tex]
[tex]m=\dfrac{1}{-2+4}[/tex]
[tex]m=\dfrac{1}{2}[/tex]
For table 4, the two points are (-2,0) and (0,4). So, the slope of the linear function is:
[tex]m=\dfrac{4-0}{0-(-2)}[/tex]
[tex]m=\dfrac{4}{2}[/tex]
[tex]m=2[/tex]
Table 4 is the only table that represents a linear function whose slope is 2.
Therefore, the correct option is 4, Table 4.
two angles are supplementary. the bigger angle is three times as large as the smaller angle.find the measurement of the angles
Answer:
The bigger angle is 135, and the smaller angle is 45.
Step-by-step explanation:
First, you have to know that supplementary angles add up to 180°.
We have no equations for the angles, so I will use the variable x for the value of the smaller x.
The reason for this: the problem gave the value of the bigger angle, but relative to the smaller angle. Therefore, it would be safe to assume the use of a variable for the smaller angle.
Since the bigger angle is 3 times as large as the smaller, we can say that the bigger angle is 3x, or 3 times x.
Now, we can put this in an equation: 3x+x=180. Like I said before, both of the angles add up to 180 degrees.
To solve the equation:
1. Combine like terms
4x=180
2. Divide both sides by 4
x=45
Now that we have the value of x, we can plug that in to 3x and x to find the angles.
3*45=135, which is the bigger angle
45, which is the smaller angle.
simplify
( 2 4/5 * 1 3/10) * 1 1/2
Answer:
( 2 4/5 * 1 3/10) * 1 1/2 = 5 23/50
Step-by-step explanation:
( 2 4/5 * 1 3/10) * 1 1/2 = 14/5 x 13/10 x 3/2 = 546/100 = 5 46/100 = 5 23/50
I really need help ASAP and I only have 2 left of missing assignments on math and I am really bad at math and I am going to fail help me plzzzzz T^T continue
It's Homework #1: Odds
Answer:
1/5 ; 7/10
Step-by-step explanation:
1) We have 10 letters, G and B are two letters, so the answer is 2/10, that can be simplify in 1/5
2) we have 7 parts black or white. The total parts are 10, so the answer is 7/10
can someone help my lil sister.
Answer:
78
Step-by-step explanation:
Given:
h + 9g
Required:
Evaluate when g = 8 and h = 6
Solution:
Plug in the values of the variables into the expression
Thus,
6 + 9(8)
= 6 + 72
= 78
A plumber charges $75 for the service call and $25 per hour (h) for repairs. Write an algebraic expression to represent the total bill for all plumbing services.
A.
(75 + 25)h
B.
75 + 25h
C.
75h + 25
D.
75 + 25 + h
Answer:B i think if wrong im so sorry
Step-by-step explanation:
Answer:
B 75+25h
Step-by-step explanation:
$75 is the first charge for the service and is constant. $25(per hour) is not constant and changes as the time (hours) changes. That's why it has a h next to it, the h is the variable to hold the place for the hours that would be multiplied in the problem.
Jeff drew a circle inside a square, as shown below.
Which method can Jeff use to find the area of the
square not covered by the circle?
Answer:
3.14
Step-by-step explanation:
Answer:
Ok, I didn't find the graph but jeff can use the diameter of the circle as the diamation of the square
If the radius is (r) so the area is
A = d * d
please help me this is due today
show ur work
Answer:
3+(-5)-7+6=3-5-7+6=-3
Determine the correlation coefficient (r) for the linear relationship below.
Answer:
X Values
∑ = 53.5
Mean = 10.7
∑(X - Mx)2 = SSx = 151.086
Y Values
∑ = 6.9
Mean = 1.38
∑(Y - My)2 = SSy = 3.788
X and Y Combined
N = 5
∑(X - Mx)(Y - My) = 23.711
R Calculation
r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))
r = 23.711 / √((151.086)(3.788)) = 0.9911
So r= 0.9911 or 99.11%
Point F is located at (3, 4) on a coordinate plane. If Point F is reflected across
the x-axis to create Point F', what will the coordinates of F be?
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out what price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit.
y=-x^2+73x-520
y=−x
2
+73x−520
Answer:
36.5
Step-by-step explanation:
y= -x²+73x-520
which can be represented as ax²+bx+c
a= -1, b= 73, c = -520
for maximum value of y,
the formula is
c - (b² / 4a)
= -520 - (73² / 4×(-1))
= -520 - (5329 / -4)
= -520 + 1332.25
= 812.25
Solving for x,
812.25 = -x²+73x-520
or, x²-73x+ 1332.25 = 0
Solving,
x= 36.5
You are working on a banner for Friday's pep rally. The length of the banner is 3 times the width. The length is 15 feet. What is the width?
Answer:
5 feet
Step-by-step explanation:
15/3 = 5