Answer:
Equation = 9i + 9j + 2k - λ ( 8i + 6j - 3k)
Step-by-step explanation:
Vector equation of a line passing through two points A & B is : r = a + λ(b - a)
Given A = (9,9,2) ; B = (1,3,5)
Equation of line : r = 9i + 9j + 2k + λ [ (1-9) i + (3-9) j + (5-2) k ]
= 9i + 9j + 2k + λ ( -8i + -6j + 3k)
= 9i + 9j + 2k - λ ( 8i + 6j - 3k)
I NEED THE ANSWER IN THE NEXT MINUTE
Answer:
508.68
*sorry if this is late
Step-by-step explanation:
Divide 36 by 2 to get radius
Multiply 18 by itself to get 324
Multiply 324 by 3.14 to get the area of a circle
Divide it by 2 to get the area of the semi circle
Find the measure of angle T
Answer:
100 degrees
Step-by-step explanation:
The measure of angle T is 100 degrees.
Tim dug a hole that was 24 inches deep. Later that day it rained washing 11 inches of dirt back back in the hole. After it dried, Tim went back out and dug the hole 13 inches deeper. How deep was the hole after he finished? Show your work.
Answer: 2 inches
Step-by-step explanation:
14 inches
Step-by-step explanation:
Length of the hole = 16(½) inches
Length of the dirt = 8(¾)inches
The distance between the top of the pile to the bottom of the hole = ?
Since the dirt is beside the hole and not inside the hole, we can find it's length using addition.
Distance from the top to the bottom = length of dirt + length of the hole
Length of dirt = 8×¾ = 6 inches
Length of the hole = 16 × ½ = 8 inches
Distance from the top of the dirt to the bottom of the hole = (6 + 8) inches
Distance from the top of the dirt to the bottom of the hole = 14 inches
Note: the only way we can use subtraction here is if the hole was filled with dirt, what's the distance that's left
Distance left = length of hole - length of dirt
Distance left = 8 - 6 = 2 inches .
will name the brainliest!!
Answer:
c = 29
Step-by-step explanation:
Since the opposite side of the given angle 41, is given and the hypotenuse has to be found out, we will use the Sin ratio
Sin(41) = [tex]\frac{19}{c}[/tex]
=> To isolate the c all by itself first multiply c on both sides of "="
Sin(41) * c = 19
=> Now divide each side by Sin(41)
c = [tex]\frac{19}{Sin(41)}[/tex]
c = 28.96 or 29
Hope this helps!
What is an equation of the line that passes through the point (8,-7)(8,−7) and is parallel to the line x+2y=18x+2y=18?
Answer:
[tex]y=-\frac{1}{2} x-3[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines always have the same slope (m) and different y-intercepts (b)1) Determine the slope (m)
[tex]x+2y=18[/tex]
Rearrange this equation into slope-intercept form (this will make it easier for us to identify the slope)
Subtract x from both sides to isolate 2y
[tex]x+2y-x=-x+18\\2y=-x+18[/tex]
Divide both sides by 2 to isolate y
[tex]y=-\frac{1}{2} x+9[/tex]
Now, we can see clearly that [tex]-\frac{1}{2}[/tex] is in the place of m. Because parallel lines have the same slope, [tex]-\frac{1}{2}[/tex] is therefore the slope of the line we're currently solving for. Plug [tex]-\frac{1}{2}[/tex] into [tex]y=mx+b[/tex]:
[tex]y=-\frac{1}{2} x+b[/tex]
2) Determine the y-intercept
[tex]y=-\frac{1}{2} x+b[/tex]
Plug in the point (8,-7)
[tex]-7=-\frac{1}{2} (8)+b\\-7=-4+b[/tex]
Add 4 to both sides
[tex]-7+4=-4+b+4\\-3=b[/tex]
Therefore, the y-intercept is -3. Plug this back into [tex]y=-\frac{1}{2} x+b[/tex]:
[tex]y=-\frac{1}{2} x-3[/tex]
I hope this helps!
The flagpole at school casts a shadow that is 18 feet long. A student nearby is 5.5 feet tall and casts a shadow that is 3 feet long. How tall is the flagpole?
Answer:
33 feet.
Step-by-step explanation:
If the ratio of the student to their shadow and flagpole to its shadow are equal, then you can use the proportion
5.5/3 = x/18 and cross multiply to find x.
5.5 × 18 = 99
3 × x = 3x
3x/3 = x, 99/3 = 33.
x = 33.
Kanisha shoots a basket every 7 seconds. Thomas shoots a basket every 12 seconds. They begin at the same time. How many seconds will have passed when they next shoot a basket at the same time?
Answer:
84 seconds
Step-by-step explanation:
7 12
14 24
21 36
28 48
35 60
42 72
49 84
56
63
70
78
84
7 1/2 divided by 3/4 =?
Answer:
7 1/2 divided by 3/4 is 10
Step-by-step explanation:
10
Brainiest please and thank you
Please help! I will give Brainliest!
Who is correct?
Answer:
Erin
Step-by-step explanation:
I believe Erin is right in this case.
PLEASE HURRY!!! ACTUALLY ANSWER PLEASE
Answer:
C
Step-by-step explanation:
Process of elimination
Classify the triangle: I NEED HELPPPP PLEASEEEEEEEEEEEEE
Answer:
Right scalene
Step-by-step explanation:
The triangle has a right angle, but no sides are equal.
Answer:
The triangle is a right scalene triangle.
Step-by-step explanation:
If any angle is marked by a little square like in the triangle's bottom left corner, that means the angle is 90° or a right angle. Since none of the angles in the triangle are equivalent, that means the right triangle is a scalene triangle. So the correct choice is a right scalene triangle.
how should i solve number 2 ?
Determine the volume of the CD box shown
7.5 in
6.25 in.
8 in
Answer:
Step-by-step explanation:
I hope this helps you
Rectangular Prism Volume is
Height. Width. Height
(6.25).(7.5).(8)
375
Angle A and Angle B are vertical angles. If the measure of Angle A is 30 degrees, what is the measure of Angle B?
Answer: 30 degrees
Step-by-step explanation: Vertical angles are always congruent. If Angle A and Angle B are vertical then they are equal to each other. They both will way thirty degrees.
Select the true statement. A. Neither function is even. B. Only function f is even. C. Only function g is even. D. Both functions are even.
Answer:
The answer is "Option C".
Step-by-step explanation:
The graph of the even function will have both ends pointed in the same direction, while the graph of the odd function will have both ends pointed inside the reverse way. Furthermore, as the y-axis approaches, and also regular expression graph becomes symmetric. The graph of an unusual function, on either hand, is symmetric around the origin and also has rotational symmetry around the origin. They could see that the graph of function g meets a function requirement by looking at it. That graph of function f, but on the other hand, is not symmetric about its y-axis, implying that function f is not even. As both a result, g is a function that is even.
Answer:
Only function g is given
Step-by-step explanation:
sean needed to put 7 gallons 3 quarts of gas into his boat on Monday and twice as much on Saturday.if he had a 22 gallon jug of gas available, did he have enough gas for both days?
Answer:
No
Step-by-step explanation:
7 3/4 x 3 = 22 1/2
How is an equation like an expression? How is it different?
Answer:
See explanation.
Step-by-step explanation:
An expression is a set of terms that are combined using addition, subtraction, multiplication, or division. The following are examples of expressions:
[tex]2x-1[/tex]
[tex]5y+8[/tex]
[tex]2[/tex]
Note: expressions do not equal anything.
In contrast, equations are expressions that equal at least one term. The following are examples of equations:
[tex]2y-4=26[/tex]
[tex]4x-4=0[/tex]
[tex]x=10[/tex]
[tex]y=x+2[/tex]
Note: equations do equal a term, as shown in the examples.
If the sales tax for the city of Florida is 6.75%, how much tax would you pay for an item that costs $ 150.00?
Answer:
160.13
Step-by-step explanation:
you would divide 6.75 by 100 then multiple that to 150 the you would take that answer and add it to 150
I have a bag of marbles. 4 are blue, 3 are orange, 2 are red, and 1 is purple.
What color will most likely be drawn?
What is the probability of pulling an orange?
What is the probability of pulling a red AND THEN a purple?
What is the probability of pulling a white?
Step-by-step explanation:
most likely be drawn: blue
pulling orange: 3/10
pulling red: 2/10 or 1/5
pulling purple: 1/10
pulling white: 0
please help me ill give you the crown thing if its right no joke
How do you find the interquartile range?
PLEASE HELP DUE IN 20 MINUTES!!!
about cylinders
Answer: Diameter = 4 cm
Step-by-step explanation:
20π = (π)(r^2)(5)
divide by 5 * π
4 = r^2
find the square root of both sides
2 = r
2 * 2 = d
4 = d
Sana's mother bought produce for Sunday dinner. She bought one more pound of peaches than of tomatoes. She bought 3 times as many pounds of tomatoes than pounds of mushrooms. If peaches cost $6 per lb, tomatoes cost $3 per lb, and mushrooms cost $10 per lb, how many of each did Sana's mother buy for $80?
Please explain how you got the answer like the steps and please dont link any files
1(Identifying):
Tomatoes-x--$3 per lb
Mushrooms- 1/3 x-- $10 per lb
Peaches- x+1-- $6 per lb
2(Equation):
3x+6(x+1)+1/3x*10=80
3x+6x+6+10/3 x=80
12 1/3 x= 74
x=74÷(12+1/3)
Step 3(Final Equations):
74*3/37=6=tomatoes
Meaning...
6+1=7=Peaches
6/3=2= mushrooms
Answer:
7 lb of peaches, 6 lb of tomatoes, and 2 lb of mushrooms
Answer:
7 lb of peaches, 6 lb of tomatoes, and 2 lb of mushrooms
Step-by-step explanation:
Can someone tell me if I’m doing this right? I think I have to multiply 5.735 but I don’t know
Answer:
you need a calculator for the answer
how many terms does 3x + 5y - 17 - 2y + x have?
Answer:
It has 5 terms
Step-by-step explanation:
Terms are the numbers or values in a equation, so this Equation has 5 terms
x + 5y - 17 - 2y + x.
1. x
2.5y
3.17
4. 2y
5.x
(I listed the terms)
Can someone answer this
Answer:
[tex]\frac{4}{3}[/tex]
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ - 1, 1 ]
f(b) = f(1) = 3 ← value of y when x = 1
f(a) = f(- 1) = [tex]\frac{1}{3}[/tex] ← value of y when x = - 1
average rate of change = [tex]\frac{3-\frac{1}{3} }{1-(-1)}[/tex] = [tex]\frac{\frac{8}{3} }{2}[/tex] = [tex]\frac{4}{3}[/tex]
At a surf shop in Malibu, California, a used blue surfboard is on sale for $100. According to the salesperson, the new price represents a 20% discount from the original price. What did it sell for originally?
Answer:
$125
Step-by-step explanation:
if there was a discount of 20%, the sales price is 100 - 20 = 80% of the original price
let a = original price
this equation can be used to represent the question
a x 0.8 = 100 ]]divide both sides by 0.8
a = 100 / 0.8 = 125
Which expression is equivalent to a^-x?
Write the equation of the line that has a slope of -3/2 and passes through (4, -3)
Answer:
y = -3/2x + 3
Step-by-step explanation:
y = -3/2x + b
-3 = -3/2(4) + b
-3 = -6 + b
3 = b
What is the theoretical probability of rolling a number less than 5? Write the fraction, decimal and percent.
Given:
Rolling a fair dice.
To find:
The theoretical probability of rolling a number less than 5.
Solution:
The possible numbers of rolling a dice are 1, 2, 3, 4, 5, 6.
Total outcomes = 6
Numbers less than 5 are 1, 2, 3, 4.
Favorable outcomes = 4
Now, the theoretical probability of rolling a number less than 5 is:
[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]
[tex]\text{Probability}=\dfrac{4}{6}[/tex]
[tex]\text{Probability}=\dfrac{2}{3}[/tex]
In decimal form, it can be written as:
[tex]\text{Probability}\approx 0.67[/tex]
In percentage form, it can be written as:
[tex]\text{Probability}=\dfrac{2}{3}\times 100[/tex]
[tex]\text{Probability}\approx 66.67%[/tex]
Therefore, the theoretical probability of rolling a number less than 5 in the fraction, decimal and percent are [tex]\dfrac{2}{3}, 0.67[/tex] and [tex]66.67\%[/tex] respectively.