Answer:
2.5.1 Write the vector, parametric, and symmetric equations of a line through a given point in a given direction, and a line through two given points.
2.5.2 Find the distance from a point to a given line.
2.5.3 Write the vector and scalar equations of a plane through a given point with a given normal.
2.5.4 Find the distance from a point to a given plane.
2.5.5 Find the angle between two planes.
Step-by-step explanation:
6. What is the slope of the line that passes through the points: (6,9) and ( 11, 2) * 7 5 A OB han O D
Answer:
(11,2)
Step-by-step explanation:
Answer:
y=-1.4x+17.4
Step-by-step explanation:
Determine if the triangles are similar. If similar, state how and complete the similarity statement.
The triangles are___
TUS~ ___
Answer:
Step-by-step explanation:
so all the angles of a triangle add up to 180 degrees
180-42-62= 76
so we know angle TUS is 76 degrees
the other triangle has an angle of 78 degrees which isn't 42, 62, or 76.
The triangles are not similar because similar shapes have congruent angles
Both triangles only have one pair of congruent angles (m∠TSU ≅ m∠RSQ), therefore, the triangles are not similar.
What are Similar Triangles?Similar triangles have corresponding angles that are congruent to each other and also have corresponding congruent sides that are proportional to each other.Similar triangles always possess the same shape but different sizes.From the image given:
m∠TSU = m∠RSQ = 62°
m∠TUS = 180 - 42 - 62 = 76°
m∠QRS = 180 - 78 - 62 = 40°
Thus, both triangles only have one pair of congruent angles (m∠TSU ≅ m∠RSQ), therefore, the triangles are not similar.
Learn more about similar triangles on:
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Please help me with this homework
Answer:
1) 3.21 by itself if rational, I don't know if the dots mean anything, but if they do, then it is irrational.
2) Pi is an irrational number as it repeats forever.
solve by substitution 6x-4y=18, -x-6y=7
Answer:
(2,-1.5)
Step-by-step explanation:
6x-4y=18
-x-6y=7
Switch the second equation from standard form to y=mx+b form
-x-6y=7→ -x=7+6y → multiply both sides by -1→ x=-7-6y
Substitute all of the things that equal x into the other equation into x
6x-4y=18→ 6(-7-6y)-4y=18
Simplify
-42-36y-4y=18
Bring - 42 to the other side and add like terms
-42-36y-4y=18→ -40y= 60
Solve for y
y=-1.5
Choose an equation and plug y in it.
-x-6(-1.5)=7
-x+9=7
-x=-2
Multiply both sides by -1
x=2
can someone help me please
Answer:
A., E.
Step-by-step explanation:
0.70 and 0.71 are greater than 0.68 but less than 0.72.
(hope this helps!)
I'm just kidding i need it i will appreciate it (-_-)
Answer:
D
Step-by-step explanation:
they have like terms
What is the slope of the line that passes through the following points?
(-1,-2) and (-3,-4)
Answer:
y = x - 1
Step-by-step explanation:
Find the slope:
(-4 - (-2))/(-3 - (-1))
-2/-2 = 1
y = x + b
Plug in one of the points:
(-1,-2)
-2 = -1 + b
b = -1
y = x - 1
A tennis racquet with an original price of $30 is on sale for $21. What is the percent of discount?
Answer:30%
Step-by-step explanation:
original amount-new amount/original amount
30-21/30
9/30
write as a percent
30% off
yoooooooooo i need help fast . please
A rectangular shaped living room bas dimensions of 32 feet by 18 feet. What is the length of the diagonal? Round your answer to the nearest tenth, if necessary.
Answer:
D = 36.7 feet
Step-by-step explanation:
Diagonal of a Rectangle
Given a rectangle of width W and length L, its diagonal can be calculated as the hypotenuse of a triangle of legs W and L as follows:
[tex]D=\sqrt{W^2+L^2}[/tex]
The dimensions of the living room are 32 feet by 18 feet, thus the diagonal is:
[tex]D=\sqrt{32^2+18^2}[/tex]
[tex]D=\sqrt{1024+324}=\sqrt{1348}[/tex]
D = 36.7 feet
Each time Cheryl runs, she runs 3miles. She rides her bike only on Saturday’s and always for 10miles. She exercises the same amount each week. She rides and runs for a total of 22 miles in a week.
Write an equation that can be used to find out how many times, X, Cheryl goes running each week.
Answer: 6
Step-by-step explanation: 22 / 6 = 3.6666666666666666666666666667
Based on the information given, the equation will be 3x + 10y = 22.
How to solve and equation:Let the number of times she walks be x.
Let the number of times she rides be y.
Since she runs 3miles, therefore, from the information given, the equation will be 3x + 10y = 22.
Learn more about equations on:
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Function or not?
I will give you brainliest
Pls help, Thank you
A boy is twice as tall as his little sister and 30cm shorter than his father. Their combined height is 3.8 meters. Find (in cm) the height of each person.
Answer:
Height of boy = 140 cm
Height of sister = 70 cm
Height of father = 170 cm
Step-by-step explanation:
Given that:
Combined height = 3.8 meters = 3.8*100 = 380 cm
Let,
b be the height of boy
s be the height of sister
f be the height of father
According to given statement;
b + s + f = 380 Eqn 1
b = 2s Eqn 2
b = f - 30 Eqn 3
Putting b=2s in Eqn 3
2s = f - 30
[tex]s=\frac{f-30}{2}[/tex]
Putting these values in Eqn 1
[tex]f-30+\frac{f-30}{2}+f=380\\\frac{2f-60+f-30+2f}{2} = 380 \\\\5f - 90 = 760 \\5f = 760+90 \\5f = 850[/tex]
Dividing both sides by 5
[tex]\frac{5f}{5}=\frac{850}{5}\\f=170[/tex]
Putting f=170 in Eqn 3
b = 170 - 30
b = 140
Putting f=170 in Eqn 2
140 = 2s
s = 70
Hence,
Height of boy = 140 cm
Height of sister = 70 cm
Height of father = 170 cm
Luis worked 40 hours last week and earned a total of $528. His job at Cub pays $9 per hour and
his job at Target pays $15 per hour. Set up a system of equations to determine how many hours
he worked at Cub and how many hours he worked a Target. Then, solve the system.
The number of hours worked at Cub is
The number of hours worked at Target is
Answer:
Let the number of hours he worked at his weekday job be x and the number of hours he worked at his weekend job be y, then
From (1): 25 + y = 40
y = 40 - 25 = 15.
Therefore, Beneio worked for 25 hours at his weekday job and 15 hours at his weekend job.
Step-by-step explanation:
Someone help me on this pleaseeeeeeeeeeeeee !
Answer:
9
Step-by-step explanation:
Please help ASAP, I need to answer this by the end of the day I need really need help!!!
Answer:
1. I believe some solutions could be x= -7, x= -8, x= -9 etc.
Step-by-step explanation:
2. If the inequality was -3x is greater than or equal to 18 then x and also be equal to x=6.
The longer leg of a right triangle is 4 more than the short leg. The hypotenuse is eight less than the sum of the 2 legs.
Solve
Answer:
SteLet a = short leg of the right triangle, b = the longer leg, and c = the hypotenuse.
The longer leg of a right triangle is 4inches longer than the shorter leg: b = a + 4
The hypotenuse is 8inches longer than the shorter leg: c = a + 8
Use the Pythagorean Theorem:
a2 + b2 = c2
a2 + (a+4)2 = (a+8)2
a2 + a2 + 8a + 16 = a2 + 16a + 64
a2 - 8a - 48 = 0
Factors to:
(a-12)(a+4) = 0
a = 12, -4
Since we can't have a side of -4, a = 12
Shorter Leg = 12 inches
Longer Leg = 12 + 4 = 16 inches
Hypotenuse = 12 + 8 = 20 inches
what are the lengths of LM, MN, QR, and MR?
A museum sold 95 tickets for $1,025. Each adult ticket was $15, and each child ticket was $7. Let a represent the number of adult tickets sold and let c represent the number of child tickets sold. Which system of equations can be used to determine the numbers of tickets sold?
Answer:
a + c = 95........eq1
15a + 7c = 1,025....eq2
Step-by-step explanation:
Given:
Total number of ticket sold = 95
Total amount collected = $1,025
Price of each adult ticket = $15
Price of each child ticket = $7
Computation:
Number of adult tickets sold = a
Number of child tickets sold = c
So,
Number of adult tickets sold + Number of child tickets sold = Total number of ticket sold
a + c = 95........eq1
and
15a + 7c = 1,025....eq2
I guess it's time to post a real question. The attachment below---
Answer:
y*y*y*y*y
y^5
Step-by-step explanation:
When you multiply exponents with the same base you're supposed to add them so your answer to the first is y^5 but your teacher is being weird and wants you to write it with no exponents so you can just write it 5 times
so number one is y*y*y*y*y
I answered number two in my explanation above
you add the exponents
y^2+y^3=y^5
if you have any questions let me know
Can someone help me with this please?
Answer:
216 Minutes
Step-by-step explanation:
2x=18
x=9
Every mile is 9 minutes, so we can multiply 9 by 26:
234 minutes
But he has already ran for 18 minutes, so we can subtract:
234-18=216
Answer:
216mins
Step-by-step explanation:
first divide 2/18 by 2 to see the rate and you get 1/9 so he runs 1 mile every 9 mins. You multiply 9 by 26 to get your answer and you get 234 subtract 18 and it will take him 216 more mins
Please help please...
Answer:
In step one, -8 - 2 should result in -10, not -6.
If the scale factor is greater than one, the new figure will be:
A.a scale.
B.a reduction.
C.not proportional.
D.an enlargement
Answer: D, an enlargement
Step-by-step explanation:
i got the same question
Billy runs a miles in seven minutes and 30 seconds. For every mile Billy runs, he adds 30 seconds to his mile time. If Billy runs EIGHT miles, how many minutes will it take him?
Answer I don't know the answer but I just want to say I hope you do well!
Step-by-step explanation:
Answer:
After the last lap it will take him 11 min to complete the lap and over all his time was 1 hour 14 min.
Step-by-step explanation:
Lap 1: 7:30
Lap 2: 8:00
Lap 3: 8:30
Lap 4: 9:00
Lap 5: 9:30
Lap 6: 10:00
Lap 7: 10:30
Lap 8: 11:00
= 74:00 = 1 hour 14 min
PLZ THANK AND 5 STAR AND GIVE BRAINLIEST :)
Which expression has the same value as the one below?
8 + [4 + (–9)]
A. 12 + (–9)
B. –12 + 9
C. –4 + (–9)
D. 4 + (–9)
Answer:
A. 12 + (-9)
Step-by-step explanation:
adding 8 to 4 is 12 and 9 remains as it is.
Simplify and explain (x^3+8)/(x+2)
answer:
x^2 - 2 x + 4
explanation: you want to factor the expression using a^3 + b^3= (a+b) (a^2 - ab+b^2)
then
(x,2) x (x^2 - 2x+4)
_________________
x+2
then reduce so,
(x+2) x (x^2- 2x +4)
_________________
x+2
then cross out repeating which is x+2
then you get your answer!
Find the surface area of a 7.4 cm long iron rod and 3.1 m radius
Answer:
144.2 cm
Step-by-step explanation:
Length of the iron rod is 7.4cm
Radius is 3.1m
Therefore the surface area can be calculated as follows
= 2πrl
= 2×3.142×3.1×7.4
= 144.2 I'm
Hence the surface area is 144.2cm
4. If f(x) = 2x + 4y and g(x) = 2x2 -3x + 6y, find g(x) – f(x)
A. 2x2 – x +10y
B. 2x2 -5x +2y
C. 2x2 +5x +10y
D. 2x-x + 2y
9514 1404 393
Answer:
B. 2x^2 -5x +2y
Step-by-step explanation:
Substitute the given expressions and collect terms.
g(x) -f(x)
= (2x^2 -3x +6y) -(2x +4y)
= 2x^2 -3x +6y -2x -4y
= 2x^2 -5x +2y . . . . . . . . . . matches choice B
is two a prime number?
Answer:
yessirr
Step-by-step explanation:
Answer:
yes
2,3,5,7,11,13,17,19,23 and so on
A recipe needs 1/4 tablespoons salt. This same recipe is made 5 times. How much total is needed?
Answer:
The answer to this question would be 1/4 *5=1.25
Step-by-step explanation:
PLZZ mark me brainliest