Step-by-step explanation:
find 3x + 12y = 1 in terms of y
so y = -3/12 z + 1/3
y = -1/4 x + 1/3
gradient of the line(m) = -1/4
gradient of the line perpendicular to the line 3x + 12y = 1 is -1/m = -1 ÷ -1/4 = -1 x -4 = 4
(OR change the sign to its opposite(- to + and + to -) then put the denominator in place of the nominator and the nominator in place of the denominator)
for this line x1=-2 and y1=6 and m=4
so using the equation
(y-y1) = m(x-x1)
y-6 = 4(x-(-2)
y-6 = 4(x+2)
y-6 = 4x + 8
y = 4x + 14
y = 4x + 14 is the equation of the line that contains the coordinates (-2, 6) and is perpendicular to the line 3x + 12y = 1.
What is the slope-intercept form of a line?When you know the slope of the line to be investigated and the given point is also the y-intercept, you can utilize the slope-intercept formula, y = mx + b. (0, b). The y value of the y-intercept point is denoted by the symbol b in the formula.
Given an equation of line 3x + 12y = 1
so y = -3/12 z + 1/3
y = -1/4 x + 1/3
gradient of the line(m) = -1/4
gradient of the line perpendicular to the line 3x + 12y = 1 is -1/m = -1 ÷ -1/4 = -1 x -4 = 4
(OR change the sign to its opposite(- to + and + to -) then put the denominator in place of the nominator and the nominator in place of the denominator)
for this line x₁=-2 and y₁=6 and m=4
so using the equation
(y-y₁) = m(x-x₁)
y-6 = 4(x-(-2)
y-6 = 4(x+2)
y-6 = 4x + 8
y = 4x + 14
Therefore, the equation of the line that is perpendicular to the line 3x + 12y = 1 and contains the point (-2, 6) is y = 4x + 14
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A spinner is divided into equal sections that are labeled with integer values.
What is the probability of the arrow NOT landing on a section labeled with a positive number if the spinner is spun one time?
Answer:
1/2
Step-by-step explanation:
look at all the numbers then look at only the negatives which are 2 then count the positive ones which are 4 from those numbers you get 2/4 simplify it, and you get 1/2.
28,46,25,76,18,25,47,83,44 what's the median,first quartile,third quartile, and interquartile range
Answer:
median: 44
first quartile: 25
third quartile: 61.5
interquartile range: 36.5
Step-by-step explanation:
For the given data set median is 44, first quartile is 25, third quartile is 61.5 and interquartile range is 36.5.
What is the interquartile range?The Interquartile Range (IQR) formula is a measure of the middle 50% of a data set. The smallest of all the measures of dispersion in statistics is called the Interquartile Range. The difference between the upper and lower quartile is known as the interquartile range.
Formula to find the interquartile range is Interquartile range = Upper Quartile - Lower Quartile =Q2=Q3-Q1
The given date set is 28,46,25,76,18,25,47,83,44.
The data in order 18,25,25,28,44,46,47,76,83.
Here,
Median =44
First quartile=Q₁=25
Third quartile=Q₃= (47+76)/2
= 61.5
Now, interquartile range (IQR)
= Q₃-Q₁
= 61.5-25
= 36.5
Therefore, for the given data set median is 44, first quartile is 25, third quartile is 61.5 and interquartile range is 36.5.
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Which spinner could not be used to simulate a baby being born male or female. a spinner 2 equal section. A spinner with 3 equal sections. a spinner with 6 equal sections. A spinner with 10 equal sections
Answer:
C spinner with 7 equal sides
Step-by-step explanation:
If he starts at 1 and jumps 3 units to the right, then where is he on the number line? How far away from zero is he?
Answer:
If you mean he starts at 1 on the Y axis (vertical line), then the answer is (1, 3). If you mean he starts at 1 on the X axis (horizontal line), then the answer is (0, 4)
Answer:
4 and 4 away
Step-by-step explanation:
If you start at one on the number line and go to the right you'll end up on 4 because if you start from one and then add 3 that equals 4.
Now if you were to figure out how FAR he is away from 0 you have to start at for and figure out what number you have to minus 4 by to get zero which is 4 because 4-4=0
Hope this helps :)
4(-x+4)= 12
how do i solve this
Answer:
Step-by-step explanation:
we will multiply first
-4x+16=12
-4x=12-16
-4x=-4
x=1
Step-by-step explanation:
Here is your answer
Hope it helps you
Which statement is the most appropriate comparison of the spreads?
O A. The interquartile range (IQR) for town A, 45°, is less than the IQR
for town B, 50°
B. The interquartile ranges (IQRs) for towns A and B are both 30°.
C. The interquartile range (IQR) for town A, 15°, is less than the IQR
for town B, 20°
D. The standard deviation for town A, 15°, is less than the standard
deviation for town B, 20°.
Answer: C. The interquartile range (IQR) for town A, 15°, is less than the IQR for town B, 20°
Step-by-step explanation:
Picture
Raj plotted point L in the coordinate plane below. On a coordinate plane, point L is 1.5 units to the left and 4 units up. He says that the plotted point is (4, negative 1.5). What is Raj's error? The x-coordinate should be -4. The y-coordinate should be 1.5. The x- and y-coordinates are switched. Both coordinates should be positive.
Answer:
The x- and y-coordinates are switched.
Step-by-step explanation:
Given that:
Point L plotted by Raj is in a coordinate plane.
Point L is 1.5 units to the left and is 4 units up.
As per Raj, the point is (4, -1.5).
Kindly refer to the general coordinate plane diagram in the answer area.
The origin is at (0,0) which is our reference point for plotting any point.
When we move left on the coordinate plane from origin, the [tex]x[/tex] coordinate will decrease i.e. will become negative.
When we move right on the coordinate plane from origin, the [tex]x[/tex] coordinate will increase i.e. will become positive.
When we move down on the coordinate plane from origin, the [tex]y[/tex] coordinate will decrease i.e. will become negative.
When we move up on the coordinate plane from origin, the [tex]y[/tex] coordinate will increase i.e. will become positive.
Now, as per question statement, 1.5 units to the left.
i.e. [tex]x[/tex] = -1.5
4 units up.
i.e. [tex]y[/tex] = 4
Therefore, the point will be (-1.5, 4).
So, the answer is:
The x- and y-coordinates are switched.
Answer:
-x -y changed
lolololol
Step-by-step explanation:
how we know relation is a function
Please help ASAP !!!
yler bought snacks for his team's practice. He bought a bag of oranges for $1.94 and a 24-pack of juice bottles. The total cost before tax was $43.22. Write and solve an equation which can be used to determine x, how much each bottle of juice costs?
Answer:
1.94 + 24x = 43.22 ;
1.72
Step-by-step explanation:
Given :
Cost of orange = 1.94
Pack of juice = 24
Total amount spent = 43.22
Cost of orange + (number of juice * cost per bottle) = total amount spent
Let cost per bottle = x
1.94 + (24 * x) = 43.22
1.94 + 24x = 43.22
24x = 43.22 - 1.94
24x = 41.28
x = 41. 28 / 24
x = 1.72
what is the discriminant of -2x to the power of 2 -x-1=0
I am painting my wall that measures 32 feet by 9 feet. If a gallon of paint covers 150 sq. ft, how many gallons will I need to paint my wall?
Answer:
2
Step-by-step explanation:
To find out how big the wall is you do 32 times 9 which equals 288.
2 gallons of paint covers 300 feet. You will have left over but that is ok.
Cakes and More baked 1,450 chocolate chip cookies. The bakery sold them in boxes of 25 cookies each. How much money will the bakery collect if it sells the cookies for $7 per box? Show how you solved this below.
Answer:
$406
Step-by-step explanation:
Step one:
given data
Cakes and More baked 1,450 chocolate chip cookies
The bakery sold them in boxes of 25 cookies each
The number of boxes will be
1450/25
=58 boxes
Step two:
The cost per box is $7
hence the cost of 58 boxes will be
=7*58
=$406
Are the polygons similar? If they are, write a similarity statement and give the scale factor .
Please somebody help me
Answer:
For the polygons to be similar, both these ratios must be equal which is the required scale factor. So, the given polygons are not similar.
Step-by-step explanation:
Answer:
a. not similar
b. similar, ABCDE ~ SRVUT, scale factor: 2
Step-by-step explanation:
1.54 x 10^7 as an ordinary number.
Answer:
15,400,000
Step-by-step explanation:
Calculator
HELP I WILL MARK BRAINLIESTTTTT
Answer:
see explanation-
Step-by-step explanation:
6 bagles is $2.50
and the the amount of bagles for $50 is 40 as 4*12 = 48
Answer:
1. $2.50
2. should be 120 bagels
Step-by-step explanation:
i will give brainiest to whom answers correct and the fastest and a thanks
Answer:
(D) The bottom graph, and (A) The top table.
Step-by-step explanation:
The easiest way to pick out the wrong answers is simply through substitution. Substitute the input into the x part of the equation that is given and if it doesn't match up with y everytime, then it is incorrect.
From table A (top table), the input x can be substituted into y = x + 2 which will come out as the output so it is correct.
For table A:
x = -3 → y = x + 2 → y = (-3) + 2 → y = -1 = -1
x = -2 → y = x + 2 → y = (-2) + 2 → y = 0 = 0
x = -1 → y = x + 2 → y = (-1) + 2 → y = 1 = 1
x = 0 → y = x + 2 → y = (0) + 2 → y = 2 = 2
x = 1 → y = x + 2 → y = (1) + 2 → y = 3 = 3
Since the table matches up with the inputs and outputs of the table, it is a correct answer.
For table B:
x = 3 → y = x + 2 → y = (3) + 2 → y = 5 = 5
x = 4 → y = x + 2 → y = (4) + 2 → y = 6 ≠ 7
x = 5 → y = x + 2 → y = (5) + 2 → y = 7 ≠ 9
x = 6 → y = x + 2 → y = (6) + 2 → y = 8 ≠ 11
x = 7 → y = x + 2 → y = (7) + 2 → y = 9 ≠ 13
5 out of the 6 y values of the table do not match the equation, so table B must be incorrect.
Graph C:
Notice how you can see the line cross the x, and y axis. When the line crosses the x axis, it is an x intercept which means y is 0. When the line crosses the y axis, it is a y intercept which means x is 0.
Since the line crosses the y axis at 2, this means that an x of 0 must lead to a y of 2 which it does.
x = 0 → y = x + 2 → y = (0) + 2 → y = 2 = 2.
But the x intercept doesn't match up as shown here.
y = 0 → y = x + 2 → (0) = x + 2 →
0 – 2 = x + 2 – 2 → -2 = x → x = -2 ≠ -1
When graphing the line y = x + 2, it's x intercept should be (-2,0). While on this graph, it's (-1,0). This means that this graph is incorrect which leads to D being another correct answer.
✓ Table A: y = x + 2
× Table B: y = 2x – 1
× Graph C: y = 2x + 2
✓ Graph D: y = x + 2
find the values of z and y pls .
Answer: Y=105 Z=28
Step-by-step explanation: i believe these are correct.
Find −5(6)+(−9) need help
Amelia used 1/7 of an ounce of butter to make 1/4 of a pound of Jello. How many ounces of butter are needed to make 1 pound of Jello
Answer:
4/7
Step-by-step explanation:
Answer:
4/7 ounces of butter makes a pound of jello
Step-by-step explanation:
7 times 4 is 28, so 4/28 ounces of butter for 7/28 pounds of jello. so 4/28 times 4 is 16/28. 16/28 is our answer, then simplified is 4/7. Thats how we get our answer.
Kaitlyn loves to read. She reads 90 pages in half an hour. How many pages does she read per minute?
Answer:
3 pages/minute
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
a hour is 60 minutes so half of that is 30 30÷90=3
what radical expression is equivalent to b^1/4
Answer:
4 √b
Step-by-step explanation:
It was on Khan, I have no clue what I'm doing
Mr. Bradley is building a storage closet. He has four boards that are 9 feet long. He needs to cut boards into 18 inches long. What is the greatest number of 18-inch pieces that Mr. Bradley can cut from the four wooden boards? (1-foot = 12 inches)
PLEASE HELP. And dont answer if you dont know please it just a waste of time. This is a test
Answer:
The answer would be 6
how do I solve this 2 step equationn?
g/3 + 11 = 25
Answer: hope it helps!
Step-by-step explanation:
g/3 + 11=25
- 11
g/3 = 14/3
g= 4.66666666667 (rounded to 5)
4 In Ms. Smith's class of 26 students, 12 wear glasses. What is the ratio of students who
wear glasses to those who don't?
A. 12:26
B. 26:12
C. 12:14
D. 4:12
Answer:
C
Step-by-step explanation:
pls help!!!!!!!!!!11
Answer: A
Step-by-step explanation: Every hour the temperature goes down 2 degrees and the h wouldn't go on the 32! Good luck! :D
Answer:
C. t = –4h + 21
Step-by-step explanation:
We know that when h = 0, t = 21°F. Replacing h = 0 in equation A and D we get:
A.
t = 21h + 4
t = 21(0) + 4
t = 4
D.
t = –21h + 4
t = –21(0) + 4
t = 4
So, none of them are correct.
The temperature drops 4 degrees every hour, this means that for h = 1 then t = 21 - 4 = 17. Replacing h = 1 in equation B and C we get:
B.
t = 4h + 21
t = 4(1) + 21
t = 25
C.
t = –4h + 21
t = –4(1) + 21
t = 17
In consequence, C is the correct option.
Identify the function graphed.
Answer:
its B, A, C
Step-by-step explanation:
correct on edge
URGENT! Can someone please help me?
Answer:
An equation of the circle with centre (5,7) and radius 2 is [tex]\mathbf{(x-5)^2+(x-7)^2=4}[/tex]
Option A is correct.
Step-by-step explanation:
A circle in the xy-plane has centre (5,7) and radius 2. Which of the following is an equation of the circle.
The equation of circle is of form: [tex](x-h)^2+(x-k)^2=r^2[/tex] where (h,k) is centre and r is radius.
We have centre (5,7) so, we have h = 5 and k = 7
We have radius = 2 so, r = 2
Putting values in the equation and finding the required equation:
[tex](x-h)^2+(x-k)^2=r^2\\(x-5)^2+(x-7)^2=(2)^2\\(x-5)^2+(x-7)^2=4[/tex]
So, an equation of the circle with centre (5,7) and radius 2 is [tex]\mathbf{(x-5)^2+(x-7)^2=4}[/tex]
Option A is correct.
2. What is the equation of the line that passes through (4, -5) and (6, -9)?
What is the standard form of y + 2 =1/2(x - 4)?
Find the slope-intercept form of the equation
of the line that passes through (-1,5) and is parallel
to 4x + 2y = 8.
What is the equation of a line with a slope 7
and a y intercept of - 10?
Determine the equation of a circle with center at (8, 10) and radius 6.
Answer:
(x – 8)2 + (y – 10)2 = 36
Step-by-step explanation:I took the test
The equation of a circle with center at [tex](8, 10)[/tex] and radius [tex]6[/tex] will be
[tex](x-8)^2+(y-10)^2=36[/tex] which is given in option [tex](3)[/tex] .
What is equation of a circle ?Equation of a circle is written in the form [tex](x-h)^2+(y-k)^2=r^2[/tex] where [tex](h,k)[/tex] is the center and [tex]r[/tex] is the radius.
We have,
The center at [tex](8, 10)[/tex] and radius is [tex]6[/tex] .
i.e.
[tex]h=8[/tex]
[tex]k=10[/tex]
[tex]r=6[/tex]
So, using the above given equation,
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Putting the above values in this equation
We get,
[tex](x-8)^2+(y-10)^2=(6)^2[/tex]
i.e.
[tex](x-8)^2+(y-10)^2=36[/tex]
This is the equation of a circle which is derived using the above given equation.
Hence, we can say that the equation of a circle with center at [tex](8, 10)[/tex] and radius [tex]6[/tex] will be [tex](x-8)^2+(y-10)^2=36[/tex] which is given in option [tex](3)[/tex] .
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