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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Write - 1.64 as a mixed number in simplest form.
Answer:
1 16 /25
Step-by-step explanation:
can someone please tell me how to solve this problem [tex]\frac{x-6}{6}[/tex] = -1
Answer:
x=0
Step-by-step explanation:
1) x-6/6= -1 is the equation
2) To get rid of the denominator, multiply both sides by 6 to get x-6= -6
3) Add 6 on both sides to get x=0
Kaylee ran 7.18 miles and then biked 8.5 miles. How far did she go?
Answer:
15.68 miles
Step-by-step explanation:
7.18 miles + 8.5 miles = 15.68 miles
Is 555 a rational number
Answer:
yes
Step-by-step explanation:
555 is a positive integer and the integers are rational numbers
Step-by-step explanation:
yes
555 can write in fraction a/b
=
[tex] \frac{555}{1} [/tex]
A bird is flying 33 feet above sea level, a diver is 20 feet below sea level. What
is the distance between the bird and diver
Answer:
53 feet
Step-by-step explanation:
If the bird is flying 33 feet above sea level, and the diver is 20 feet below it would be 53 because you have to imagine right at sea level is a zero and 20 below with 33 above would equal 53
Answer:
53
Step-by-step explanation:
Distance is always positive, therefore the distance below and the distance above are added together: 33+20=53
A coach buys a uniform and a basketball for each of the 15 players on the team. Each basketball costs $9. The coach spends a total of $420 for uniforms and basketballs. What is the cost of one uniform? Use a strategy that makes sense to you. Show your thinking!
Answer:
$19
Step-by-step explanation:
Since there are 15 players and he bought a basketball for each of them, he bought 15 basketballs in total.
The price of a basketball costs $9.
The total price of all 15 basketballs = $9 * 15 = $135.
He spent $420 on uniforms and basketballs, and he spent $135 on basketballs.
Thus, he spent $420 - $135 = $285 on uniforms.
As he bought a uniform for each of the 15 players, he bought 15 uniforms in total.
The price of 15 uniforms is $285.
The price of 1 uniform is $285 ÷ 15 = $19.
Answer:
$19.
Step-by-step explanation:
Let x be the cost of a uniform:
Then we have 15 (x + 9) = 420.
We can divide both side by 15, getting x + 9 = 28.
Then, we can subtract both sides by 9, getting x = 28 - 9 = 19.
What is the correct product of 7 x 2.6?
Answer:
thy answer is 18.2
Step-by-step explanation:
PLEASE HELP ME THIS IS DUE IN TWO HOURS! :(
The length of Rectangle 1 is 3.2 x 10^5 m. The width of Rectangle 1 is 1.6 x 10^4 m. What is the area of Rectangle 1? Write the answer in Scientific Notation.
Find the area of Rectangle 2 if its length is 1.28 x 10^7 m and its width is 8 x 10^3 m. Write the answer in Scientific Notation.
Answer:224 squared
Step-by-step explanation:
H
Select the correct answer from each drop-down menu
Simplify.
√63
The options under it: 1.) 3, 7, 27, 9 √(3 or 7)
Please help
Answer: I Think the correct answer is [tex]3\sqrt{7}[/tex]
Decimal Answer: 7.937254
Answer: the answer is 3/7
Step-by-step explanation:
Solve.
10 · w = 90
w = ______
Answer:
The answer is 9
Step-by-step explanation:
Your answer is NINE because if yo were to switch it around and do 90 divided by 10 you would get nine. If you went back to check your answer 10x9=90
Hope this helped:)<3
plzzzzzzzzzzzzz answer them all
Answer:
1.) 4 and -4.
2.) 1.25 and -1.25
3.) 2 1/4 = (I dont have any absolute value signs on my keyboard but its
2 1/4 with absolute value signs.
what is the answer to 3x + 1 = x + 13
Answer:
x=6
Step-by-step explanation:
3x+1=x+13
2x=12
x=6
I need help on this -3x-x-3x3 =? It’s kinda confusing me and I’ve been on this question for awhile
what are the steps to solving this using both elimination and substitution? 7x-2y=-53 5x-7y=-88 plz show steps ASAP
PLS GIVE ME BRAINLIEST
hope this helps and have a good day
Use the given conditions to write an equation for the line in point-slope form.
Slope = 3, passing through (-7,8)
Step-by-step explanation:
Hey there!
The given slope is; 3. And passing through point (-7,8).
Now,
Using one point formula.
[tex](y - y1) = m(x - x1)[/tex]
Put all values to find equation.
[tex](y - 8) = 3(x + 7)[/tex]
Simplify them to get answer.
[tex](y - 8 )= 3x + 21[/tex]
[tex]3x - y + 21 + 8 = 0[/tex]
[tex]3x - y + 29 = 0[/tex]
Therefore the required equation is 3x-y+29=0.
Hope it helps...
Nancy bought 5 1/2 pounds of apples and oranges. If she bought 1 2/3 pounds of apples, which of the following equations could be used to find the amount of oranges she bought?
Answer:
1 2/3a+o=5 1/2
Step-by-step explanation:
1 2/3 pounds of apples plus the weight of oranges is equal to 5 1/2 pounds. The weight of the oranges can be found by subtracting the weight of apples from the total weight, which is 3 5/6 pounds.
The equation which represents the number of oranges and apples is 1²/₃a+o=5¹/₂.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Nancy bought 5¹/₂ pounds of apples and oranges. If she bought 1²/₃ pounds of apples.
The equation will be written as,
1²/₃a+o=5¹/₂.
1²/₃ pounds of apples plus the weight of oranges is equal to 5¹/₂ pounds. The weight of the oranges can be found by subtracting the weight of the apples from the total weight, which is 3⁵/₆ pounds.
Therefore, the equation which represents the number of oranges and apples is 1²/₃a+o=5¹/₂.
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Solve for the variable in this equation 2x -5x = 21 answers are
0 -3
O 7
O Option 3
07
Answer:
x = -7
Step-by-step explanation:
First, we simplify:
-3x = 21
Then, we divide -3 on both sides:
x = -7
Hope this helps ^^
If f(x) = x2 + 2x – 10, what is f(-2)?
Answer:
-10
Step-by-step explanation:
simply plug -2 into the function and you get 4 + 2(-2)-10, which gets you 4+ (-4) -10= 4-4-10= -10
Answer: -18
Step-by-step explanation:
Which tape diagram that matches the story.
Convert the number to standard notation. 8.345 x 10 to the negative 6th power
what is the intersection of two distinct, non-parallel planes?
A. A line
B.A point
C.Another plane
D.There is no intersection
Answer:
C.Another plane
Step-by-step explanation:
What’s an 80 out of 100?
Answer:
How much is 80 out of 100 written as a percentage? Convert fraction (ratio) 80 / 100 Answer: 80%
Step-by-step explanation:
Answer:
80%?
Step-by-step explanation:
is that what your asking?
Which shows only a vertical translation from the shaded figure onto the unshaded figure?
Answer: B
Step-by-step explanation:
On a coordinate plane, a triangle is shifted up is the area that shows only a vertical translation from the shaded figure onto the unshaded figure (Image attached).
What is Vertical translation?Vertical translation is known to be a term that connote the up or down movement that takes place in a graph of a function.
It is also called the movement or the shifting of the graph amidst the y-axis. Note that in vertical translation, all the point on the graph often moves k units vertically.
See full question below
Which shows only a vertical translation from the shaded figure onto the unshaded figure?
On a coordinate plane, a triangle is shifted up.
On a coordinate plane, a triangle is shifted to the left.
On a coordinate plane, a triangle is enlarged to form another triangle.
On a coordinate plane, a triangle is shifted up and to the left.
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The coordinates of the midpoint of GH are M (8,0) and the coordinates of one endpoint are H(-2, 9). The coordinates of the other endpoint are
Answer:
G(18,-9)
Step-by-step explanation:
The coordinates of the midpoint of GH are M (8,0) and the coordinates of one endpoint are H(-2, 9). We need to find the coordinates of G. Let G is (x,y).It can be done using mid point formula i.e. [tex](\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})[/tex]
So,
[tex]8=\dfrac{x-2}{2}\ \text{and}\ 0=\dfrac{9+y}{2}\\\\16=x-2\ \text{and}\ y=-9\\\\x=18\ \text{and}\ y=-9[/tex]
Hence, the coordinates of the other point is (18,-9).
Is 5 in the solution of x+3>8 explain. Thank youuu
No
X would have to equal 6 or greater as if x was 5
5+3 is the same as 8
Answer:
I would say no.
Step-by-step explanation:
If x would be 5, then the greater than sign would turn into a equal sign. This is because 5 + 3 = 8. So this (x + 3 > 8) would turn into this (x [or 5] = 8).
Hope this helped! Goodluck!
FO = x + 10, FG = 3x + 10 find the length of the segment
Answer:
x= 0
FO=20
OG=20
FG=40
Step-by-step explanation:
FG=FO+OG
3x+10=x+10+x+10
3x+10=2x+20
20=x+10
10=x
When designing a play area the mother created a scale drawing in which the side that measures 6 feet was represented by 3 inches.What was the perimeter of the play area in the mothers scale drawing
Answer:
12 inches
Step-by-step explanation:
if it is a square then you do 3×4 to get the perimeter
Jennifer and Kamlee are walking to school. After 20 minutes, Jennifer has walked 4/5 miles. After 25 minutes, Kamlee has walked 5/6 miles. Find their speed in miles per hour
Answer:
Jennifer's speed is 2.4 miles/hour
Kamlee's speed is 2 miles/hour
Step-by-step explanation:
To find their speed,
Speed can be determined from the formula below,
[tex]Speed = \frac{Distance}{Time}[/tex]
Also, to determine the speed in miles per hour (miles/hour), we will convert the time spent by each of them to hour (NOTE: 60 minutes = 1 hour)
For Jennifer,
Distance = 4/5 miles
Time = 20 mins (Convert to hour)
∴Time = (20/60) hour = 1/3 hour
Hence,
[tex]Speed = \frac{Distance}{Time}[/tex]
[tex]Speed = \frac{4/5 miles}{1/3hour}[/tex]
[tex]Speed = \frac{4}{5} \times \frac{3}{1}[/tex]
[tex]Speed = \frac{12}{5}[/tex]
[tex]Speed = 2.4 miles/hour[/tex]
Hence, Jennifer's speed is 2.4 miles/hour
For Kamlee,
Distance = 5/6 miles
Time = 25 minutes (Convert to hour)
Time = (25/60) hour = 5/12 hour
Hence,
[tex]Speed = \frac{Distance}{Time}[/tex]
[tex]Speed = \frac{5/6miles}{5/12 hour}[/tex]
[tex]Speed = \frac{5}{6} \times \frac{12}{5}[/tex]
[tex]Speed = 2 miles/hour[/tex]
Hence, Kamlee's speed is 2 miles/hour
2(x-11)+5-1
What is x
Answer:
9
Step-by-step explanation:
2(x-11) + 5-1
We can use the distributive property:
2x - 22 + 5 - 1
We can then simplify:
2x - 18
In this case, if 2x - 18 = 0, then 2x = 18 and x = 9.
Answer:
2x-18
Step-by-step explanation:
[tex]2(x-11)+5-1\\[/tex]
Expand
[tex]2\left(x-11\right):\quad 2x-22[/tex]
Slot it into the equation
[tex]=2x-22+5-1[/tex]
Add/subtract the numbers
[tex]-22+5-1=-18\\\\=2x-18[/tex]
what is the value of x (x=50) (3x-60)
Answer:
150
Step-by-step explanation:
50x3 = 150
150-60
Answer:
150
Step-by-step explanation: