The intersection of two planes contains at least two points.
A.) always
B.) Sometimes
C.) Never
Answer:
A
Step-by-step explanation:
The solution is Option A. Always
The intersection of two planes contains at lease two points
What is intersection of two planes?
When two planes intersect, they form a line.
The vector equation for the line of intersection is given by
r = r₀ + tₓ
where r₀ is a point on the line
tₓ is the cross product of the normal vectors of the two planes.
The parametric equations for the line of intersection are given by
x = a , y = b and z = c
where a, b and c are the coefficients from the vector equation
r = a (i) + b (j) + c (k)
The line of intersection will be perpendicular to the normal of both the planes
The line of intersection lies on both the planes
Therefore , a line is observed at the intersection of two planes
Hence , the intersection of two planes always contains at least two points and it forms a line
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Which of the following is not a characteristic of a point?
What is the correct translation or 3 units to the left and 2 units up? If you
start at point (-9,3)
Answer:
-12, 5
Step-by-step explanation:
move 3 units up and 2 units left on a graph
Triangle M is also a scaled copy of S. The scale
factor from S to M is 3/2 What is the scale
factor from M to S?
Answer:
I believe it’s 2/3
Step-by-step explanation:
If s to m is 3/2 then m to a should be 2/3 not 100% sure though
A herd of 98 horses has 19 white and some black horses. What is the ratio of black horses to all horses?
Answer:
79 : 98
Step-by-step explanation:
Total horses = 98
White horses = 19
Black horses = 98 - 19 =79
Ratio of black horses to all horses = 79/98 = 79 : 98
Answer:
79:19
Step-by-step explanation:
what is the place value of the 4 in 12.47
Answer:
The place value of 4 in 12.47 is the tenths place.
Step-by-step explanation:
One place to the right of the decimal point is the tenths place. Two places to the right of the decimal is the hundredths place. Hope this helps.
The place value of the 4 in the decimal number 12.47 will be the tenth place.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
In a decimal number, if we move from right to left before the decimal, then the places of the number are given as,
Ones, Tens, Hundreds, and so on.
In a decimal number, if we move from left to right after the decimal, then the places of the number are given as,
Tenths, Hundredths, and so on.
The place value of the 4 in the decimal number 12.47 will be the tenth place.
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Evaluate f(x) = x^2 for f(-8).
Answer:
f(-8) = 64
Step-by-step explanation:
The question is simply asking us to evaluate for f(x) when x = -8:
f(-8) = (-8)²
f(-8) = 64
You recently received a gift card from Game Stop for $75. You want to rent only games. The cost for renting a game is
$3.25. How much is on the card after renting 1 game? 2 games? 3 games? 15 games? X games? After renting how many
games will you run out of money? Will there be any money left on the card? How much?
Solve for x when f(x) = 0
The answer what?
Answer:
3.25×2= 6.50
3.25×3=9.75
3.25×15= 48.75
3.25×23= 74.75
he will run out of money after renting 74 games.
Mr. Yukilous has hired some workers to install a patio. The patio will be a square, 5 feet on edge. The workers charge $30 per square foot for the patio tiles, plus $600 for the labor. Write an expression giving the total cost, then simplify it to find that cost. To answer this question, please select the correct multiple choice response below.
Answer:
Step-by-step explanation:
reeeeeeeeee
How does a translation 6 units up and 1 unit left change the coordinates of a shape?
Answer:it wouldn’t change the shape but it would change the location of the shape
Step-by-step explanation:
Answer:
Answer:it wouldn’t change the shape but it would change the location of the shape
Step-by-step explanation:
Melissa made a total of 14 baskets during her last basketball game. She made a number of 2-point baskets and a number of 3-point baskets for a total of 33 points. Using matrices to solve, how many 3-point baskets did Melissa make in her last basketball game?
Answering its B
Step-by-step explanation:
Just took the test edge 2020
Melissa made 5 three-point baskets in her basketball game.
What is Cramer's Rule?Cramer's Rule is a system of linear equation solving technique.
Let's say we're given a system of linear equations.
ax+by=c
dx+ey=f
then, the solution of the equation with the Cramer's rule is given by
[tex]x= \frac{\begin{vmatrix}c&b\\f&e\end{vmatrix}}{\begin{vmatrix}a&b\\d&e\end{vmatrix}}[/tex]
[tex]y= \frac{\begin{vmatrix}a&c\\d&f\end{vmatrix}}{\begin{vmatrix}a&b\\d&e\end{vmatrix}}[/tex]
How to solve the Problem?Let Melissa make 'x' 2-point baskets and 'y' 3-point baskets.
So, as she made a total of 14 baskets we have that
x+y=14
and, as she made a total of 33 points we have that
2x+3y=33
We end up with the system of linear equations.
x+y=14
2x+3y=33
This gives us the matrix equation
[tex]\left[\begin{array}{ccc}1&1\\2&3\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}14\\33\end{array}\right][/tex]
Using Cramer's rule we get
[tex]x= \frac{\begin{vmatrix}14&1\\33&3\end{vmatrix}}{\begin{vmatrix}1&1\\2&3\end{vmatrix}}=\frac{14 \times 3 - 1 \times 33}{1 \times 3 - 1 \times 2} = \frac{42 - 33}{3-2}=\frac{9}{1} =9[/tex]
[tex]y= \frac{\begin{vmatrix}1&14\\2&33\end{vmatrix}}{\begin{vmatrix}1&1\\2&3\end{vmatrix}}=\frac{1 \times 33 - 14 \times 2}{1 \times 3 - 1 \times 2} =\frac{33-28}{3-2}= \frac{5}{1} =5\\[/tex]
Hence, Melissa made (y=)5 three-point baskets in her basketball game.
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What are the coordinates of G, H, and I after a rotation about (0,0) by 90 degrees clockwise? Plot these points on the grid, and label the, G', H', and I'. G = (-1,3) H = (-4,0) I = (3,-2)
Given :
Three points G ( -1,3 ) , H ( -4,0 ) and I ( 3,-2 ) .
To Find :
These points on rotating 90° clockwise about ( 0,0 ).
Solution :
Rotation of point ( h,k ) about (0,0) by 90° clockwise is ( k,-h ) .
So points :
G' is ( 3,-(-1) ) = ( 3,1 )
H' is ( 0,-(-4) ) = ( 0,4 )
I' is ( -2,-3 ) .
Therefore , rotation about (0,0) by 90 degrees clockwise is ( 3,1 ), ( 0,4 ) and ( -2,-3 ) .
Hence , this is the required solution .
you deposit $45 in a retirement account twice each month. how much will you deposit in the account in 8 years
Somebody please answers these!!!!
Answer: 1: B
Step-by-step explanation:
explain proportionality to me 7th grade math
If two quantities a and b are directly proportional to one another, then both a and b change in the same direction.
For example, if the amount/volume of coffee I have in a cup is directly proportional to the total volume of the cup, then the larger the cup gets, the more coffee I can fill it with. On the other hand, if the cup gets smaller, the amount of coffee it can hold also gets smaller.
Both a and b don't necessarily change at the same rate, though, which means one of these needs to get appropriately scaled by some factor k, so that
a = kb
Continuing the coffee example: Suppose I only fill my cup halfway. If the total volume of the cup is a, then the amount of coffee I pour in is b = 1/2 a. So the relationship of these two quantities is governed by the equation,
a = 2b
and in this case, k = 2.
If instead a and b are inversely proportional, this means as one quantity changes, the other changes in the opposite direction.
Suppose I have two cups that I use for coffee that can both hold the same amount k if they are filled completely, but one cup is taller than the other. In order for both cups to be able to hold the same volume of coffee, the taller cup must have a thinner profile.
The cups are cylindrical, so that their volumes are equal to the products of the area of their base a and their height b. If one cup is twice as tall as the other, then for the smaller cup we could have
ab = k
and for the taller one,
a (2b) = k
But in order to get the same volume, the quantity a for the shorter cup must be cut in half to preserve equality:
(1/2 a) (2b) = ab = k
So one quantity is doubled (increases), while the other gets halved (decreases).
Circle the numbers that are integers
5 --4 2.6 0.8 repeating and 100
Answer: 5, -4, 2.6, and 100
Step-by-step explanation:
Answer: 5, -4, and 100
Step-by-step explanation: Integers are positive and negative whole numbers
A scientist was in a submarine, 24.6 feet below sea level, studying ocean life. Over the next ten minutes, she descended 23.2 feet. How many feet was she now below sea level?
Answer:
-47.8 feet
Step-by-step explanation:
Answer:
47.8 feet below
Step-by-step explanation:
- 3(5x – 4y + 2) - 6x + 10
Combine like terms
Answer:
=−21x+12y+4
Step-by-step explanation:
Distribute:
=(−3)(5x)+(−3)(−4y)+(−3)(2)+−6x+10
=−15x+12y+−6+−6x+10
Combine Like Terms:
=−15x+12y+−6+−6x+10
=(−15x+−6x)+(12y)+(−6+10)
=−21x+12y+4
Simplify
32 + 1 x 2
Please hellppppo
Answer:
1x2 = 2, 32 + 2= 34
Step-by-step explanation:
L is the midpoint of MN, MN = 10x and LN = 15. Find x, ML, and MN.
Answer:
10x=15•2
10x=30
30÷10=3
x=3
ML = 15
MN=30
12. You are saving for a bike and can save $10 per week. You have $25 when you begin saving.
# of weeks
1
2
3
4
5
6
7
Amount of money saved
Explanation:
Answer:
$95
Step-by-step explanation:
I you need to see how much you would save after 7 weeks, and you save $10 a week, that would be 7*$10 and if you start with $25 you add it.
$25 + 7*($10) =
$25 + $70 = $95
After 7 weeks you would have saved $95.
If you need to know your savings each week, start with $25, and add $10 to it each week.
$25
Week 1 - $25 + 10 = $35
Week 2 - $35 + 10 = $45
Week 3 - $45 + 10 = $55
Week 4 - $55 + 10 = $65
Week 5 - $65 + 10 = $75
Week 6 - $75 + 10 = $85
Week 7 - $85 + 10 = $95
5(5t + 1) = 25t-7
Can someone help me with this solution??
which fractions are equalvalent to 40%
Answer:
4/10, 2/5, 8/20
Step-by-step explanation:
if you divide all of these numbers you get .4 which is equivalent to 40%
Answer:
40%=40/100=2/5=4/10=6/15=8/20=10/25=12/30=14/35=16/40= and so on.
Step-by-step explanation:
I'm so dumbbbbbbbbbb
Answer:
3 3/8 cups of flour
Step-by-step explanation:
So, we know that 2 1/4 is the normal amount of flour you would use in the recipe. but you don't want to do normal. You want to make 1 1/2 times more than you usually do.
To do this, first figure out what half of 2 1/4 is.
(2 1/4) /2 = 1 1/8
Then, because you are looking to use 1 1/2 times more flour, simply add the 1 1/8 to the 2 1/4
You end up using 3 3/8 cups of flour.
A bus driver made 100 stops on his route in 5 days. The double number line shows the relationship between the number of stops and the number of days. What is the rate of stops per day? What is the unit rate?
Answer: 20 stops a day
Unit rate:20
Step-by-step explanation: since the number of stops is 20 times the number of days, the rate is 20 stops per day so the unit rate is 20
the width of a rectangle is 4 inches less than the length. The perimiter is 32 inches. Find the length and width of the rectangle.
In problems that involve the perimeter of a rectangle, I would draw a picture
of the rectangle and label its dimensions to help you set up your equation.
Since the width of the rectangle is 4 inches less than the length,
we can call the length of the rectangle x and the width x - 4.
Now draw a picture, I have done this below.
The rets of my work is shown below.
What is the value 0.25 ? The 2 has a value of 2 _____________ or 0.2 The 5 has a value of 5 ______________ or 0.05
Answer:
2 has a value of 2 tenths and the 5 has a value of 5 hundredths
Step-by-step explanation:
The value 2 has 1 tenth or 0.2 and the value 5 has 1 hundredth or 0.05.
What is a number system?A numeral system is a way of writing numbers; it's a way of mathematically notating a collection of numbers by utilizing a consistent set of digits or other symbols. In several numeral systems, the same set of symbols may represent various numbers.
Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The values of the number will be:-
2 x ( 1 / 10 ) = 0.2
5 x ( 1 / 100 ) = 0.05
25 x ( 1/ 100 ) = 0.25
Therefore, the value 2 has 1 tenth or 0.2, and the value 5 has 1 hundredth or 0.05.
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Need help with this if you 100% know it!
f(a + 2) for f(x) = (3 + x) / (x - 3)
Substitute a + 2 for x in our equation
f(a + 2) = (3 + (a + 2)) / ((a + 2) - 3)
Combine like terms
f(a + 2) = (5 + a) / (a - 1).
This is as far as you can go.
C is the correct answer choice
What is 5/6=x-10/3x+6
Answer:
x = 31/14
Step-by-step explanation:
Step 1: Multiplying Sides.
5 = 6x - 20x + 36
Step 2: Collecting Like Terms.
5 = -14x + 36
Step 3: Moving the Terms
14x + 5 = 36
Step 4: Subtracting the numbers
14x = 36 - 5
Step 5: Dividing. 14 / 31
Answer:
31/14
Hope this helped
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Identify the correct property of equality to solve each equation.
3 + x = 27
addition property of equality with 3
subtraction property of equality with 3
multiplication property of equality with 3
division property of equality with 3
Answer:
24
Step-by-step explanation:
because it's just a addition so my answer must be right and it's not wrong I swear to God
Answer:
3 + x = 27
✔ subtraction property of equality with 3
x over 6 = 5
✔ multiplication property of equality with 6