Answer: The equation for line b is [tex]y = -\frac{3}{4}x + 5[/tex]
The equation for line t is [tex]y= \frac{4}{3} x+5[/tex]
The attachment shows the original line in green, the parallel line b in red, and the perpendicular line t in blue.
Step-by-step explanation: Use slope intercept form, y = mx + b
The given coordinate, (0,5) is on the y-axis, so 5 will be the y-intercept of the equation. Keep the slope of the original equation and substitute the new value for "b"
To write the equation for line t
Both lines share the y-intercept, (0,5) so the "b" term will be the same. The slope of a perpendicular line is the reciprocal of the original slope with the opposite sign.
So invert 3/4 to become 4/3 and change the negative sign to positive.
The resulting equation is y = 4x/3 + 5
What is the value of tan60.cot60
Answer:
1
Step-by-step explanation:
[tex] \tan \: 60 \degree. \cot \: 60 \degree \\ \\ = \cancel{\sqrt{3}} \times \frac{1}{\cancel{ \sqrt{3} }} \\ \\ = 1[/tex]
least to greatest, 45%, .46, 11/25
Answer:
46, 11/25, 45%
Step-by-step explanation:
−23(15x + 3) = −3x − 9
what is x?
Answer:
X= - 10/57
Step-by-step explanation:
Answer:
I am really not sure bout this answer so please let me know if I'm wrong thank you (◍•ᴗ•◍)
Step-by-step explanation:
6v-10=2v-26
6v-10+10=2v-26+10
6v=2v-16
6v-2v=-16
4v=-16
v=-16/4
v=-4
i need heeeeeeeeeeelllllllllllllppppppppppp!?!
Answer:
I cant give you an answer but hints:
First you gotta know the angles of the triangle
then how many are there
then those lines in the middle is dividing lines so
right angles are 90 degrees
I would go for B then.
if not I'm sorry
1/2% of 412
with work
Answer:
1.5% x 412 = 618?
Step-by-step explanation:
Answer:
103/50
Step-by-step explanation:
Simplify
1/2
100
(412)
An amusement park charges $6 to enter, and $3 per game. If you paid a total of $18, how many games did you play?
Answer:
6
Step-by-step explanation:
A package of 12 pencils costs £2.95.
A binder costs £3.48.
Penelope buys a package of pencils and a binder. She pays with a £10
note.
What is her change?
Answer:
£3.57
Step-by-step explanation:
£2.95 + £3.48 = £6.43
£10.00 - £6.43 = £3.57
Taylor is buying a new flashlight. He can choose from red, blue, and silver flashlights that come in both a large size and a small size.
Which list shows all the possible flashlights that Taylor can choose?
A large, small
B. red, blue, silver
c. small red, small blue, large red, large silver
D small red, large red, small blue, large blue, small silver, large silver
Answer:
D
Step-by-step explanation:
It has all the flashlight colors and sizes.
I am thinking of a number, let's call it x . If I increase twice my number by 5, the result is the same as if I triple my number and subtract 1. Use the 4-step process to write and solve an equation to find my number. Make sure to answer in a sentence.
Answer: 6
Step-by-step explanation:
Let the number be x
If I increase twice my number by 5, the result is the same as if I triple my number and subtract 1. This can be formed into an equation as:
(2 × x) + 5 = (3 × x) - 1
2x + 5 = 3x - 1
5 + 1 = 3x - 2x
x = 6
The number you are thinking of is 6
Rhombus JKLM with vertices J(-4,7), K(0,8), L(-1, 4), and M(-5,3): (x, y) ------> (x + 2, y - 2)
Answer:
J'(-2, 5), K'(2, 6), L'(1, 2) and M'(-3, 1)
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation is reflection, rotation, dilation and translation.
Translation is the movement of a point either up, down, left or right on the coordinate plane. If a point A(x,y) is translated a units right and b units up, the new point is at A'(x + a, y + b) while a point A(x,y) is translated a units left and b units down, the new point is at A'(x - a, y - b).
Rhombus JKLM has vertices at J(-4,7), K(0,8), L(-1, 4), and M(-5,3). If a transformation of (x, y) ------> (x + 2, y - 2) is done, i.e. 2 units right and 2 units down, the new points would be at:
J'(-2, 5), K'(2, 6), L'(1, 2) and M'(-3, 1)
can someone help me please:(
You and your business partner are mailing advertising flyers to your customers. You address 6 flyers
each minute and have already done 80. Your partner addresses 4 flyers each minute and has already done 100.
Write and solve a system of equations to find when the two of you will have addressed an equal number of flyers.
How many flyers will each of you have done?
124
136
140
148
Answer:
140
Step-by-step explanation:
Help me out I forgot how to do this lol
Answer:
1:2
Step-by-step explanation:
because there are 9 stars and 18 squares giving you 9:18 but when you simplyfi you get 1:2
Answer: 9:18
Step-by-step explanation:
Count the amount of stars which is 9, then count the amount of circles which is 18. So therefore the answer would be 9:18
please solve this If you can thank U
Answer:
[tex] \huge{ \boxed{ \tt{1 }}}[/tex]
❁ Question : Simplify :
[tex] \sf{( {x}^{a} ) ^{b - c} \times ( {x}^{b} ) ^{c - a} \times ( {x}^{c} )^{a - b}} [/tex]❁ Solution :
First , Use power law of indices.
Remember : If [tex] \sf{ {a}^{m} }[/tex] is an algebraic term , then
[tex] \sf{( {a}^{m} ) ^{n} } = {a}^{m \times n} = {a}^{mn} [/tex] , where m and n are positive integers.
➝ [tex] \sf{ {x}^{a(b - c)} \times {x}^{b(c - a)} \times {x}^{c(a - b)}} [/tex]
➝ [tex] \sf{ {x}^{ab - ac} \times {x}^{bc - ba} \times {x}^{ca - cb}} [/tex]
Now , Use product law of indices :
Remember : If [tex] \sf{ {a}^{m} }[/tex] and [tex] \sf{ {a}^{n}} [/tex] are the two algebraic terms , where m and n are the positive integers then [tex] \sf{ {a}^{m} \times {a}^{n} = {a}^{m + n}} [/tex]
➝ [tex] \sf{ {x}^{ab - ac + bc - ba + ca - cb}} [/tex]
Since two opposites adds up to zero , remove them :
➝ [tex] \sf{ {x} \: ^{ \cancel{ab} \: - \cancel{ac} \: + \cancel{bc} \: - \cancel{ba} \: + \cancel{ca} \: - \cancel{cb} } }[/tex]
➝ [tex] \sf{ {x}^{0} }[/tex]
Use Law of zero index
Remember : If [tex] \sf{ {a}^{0}} [/tex] is an algebraic term , where a ≠ 0 , then [tex] \sf{ {a}^{0} = 1}[/tex]
➝ [tex] \boxed{ \sf{1}}[/tex]
And we're done !
Hope I helped ! ♡
♪ Have a wonderful day / night ツ
~~
A deck builder uses 11 bags of concrete mix for every 5 deck footings. If the builder needs to build 12 deck footings, how many bags of concrete mix will be used?
Stefan sells Jin a bicycle for $115 and a helmet for $17. The total cost for Jin is 110% of what
Stefan spent originally to buy the bike and helmet. How much did Stefan spend originally? How
much money did he make by selling the bicycle and helmet to Jin?
Which equation has a graph that is parallel to the graph of 2x - y = -1?
Yvonne made 12 more cupcakes than she did yesterday. She made a total of 68 cupcakes over the two days. How many cupcakes did she make the second day?
Answer:
56
Step-by-step explanation:
68-12=56
Answer:
56
Step-by-step explanation:
56
A ball is dropped from a height of 50 feet. The function f(x) = 50(0.6)x gives the height in feet of feet of each bounce, where x is the bounce number. What is the height of the third bounce to the nearest tenth of a foot?
Answer:
The height of the third bounce is 10.8 feet
Step-by-step explanation:
Let us solve the question
∵ A ball is dropped from a height of 50 feet
∵ The function f(x) = 50[tex](0.6)^{x}[/tex] gives the height in feet of each bounce
∵ x is the bounce number
∵ We need to find the height of the third bounce
∴ x = 3
→ Substitute x by 3 in the function above
∵ f(3) = 50(0.6)³
∴ f(3) = 50(0.126)
∴ f(3) = 10.8
∴ The height of the third bounce is 10.8 feet
Eugene ate 20% of the Christmas cookies his
grandmother made. If he ate 8 cookies, how
many are left?
Answer:
There are 32 cookies left
Step-by-step explanation:
There are c cookies when we started
c* 20% = 8 cookies
Change to decimal form
c * .20 = 8
Divide each side by .2
c * .2 / .2 = 8/.2
c =40
There are 40 cookies when we started
40 -8 = 32
There are 32 cookies left
(4, 3), (–1, 6), i need to find the slope of these points.
Answer:
[tex]m=\frac{-3}{5}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (4, 3)
Point (-1, 6)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute [SF]: [tex]m=\frac{6-3}{-1-4}[/tex]Subtract: [tex]m=\frac{3}{-5}[/tex]Rewrite: [tex]m=\frac{-3}{5}[/tex]Answer:
[tex]m=-\frac{3}{5}[/tex]
Step-by-step explanation:
my question is in the picture
Answer:1
Step-by-step explanation:
THE GREATEST PRODUCT
You have sixty seconds to arrange the numbers 3.456
and 7 in the boxes below to get the largest productible
Each number may be used only once
Answer:
I can't see any boxes??
EASY POINTS FOR YALL
Answer:
I would say the answer is A
Answer:
Step-by-step explanation:
A
Please help me fast
Answer:
...............................4650
The distance between X and Y is 6 1/2 units. Which number could represent the point Y?
Answer:
[tex]\huge\boxed{\sf 3.5}[/tex]
Step-by-step explanation:
Distance = [tex]\sf 6 \frac{1}{2} \ units = 6.5 \ units[/tex]
Here X is -3
So,
Point Y = -3 + 6.5 = 3.5
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Answer:
B
Step-by-step explanation:
so we know x is -3
we also know that the number has to be 6.5 units away from -3
so, -3 plus 6.5 is 3.5
-3 minus 6.5 is -9.5
Either 3.5 or -9.5 would work but 3.5 is the only listed option, so the answer is B
give answer ☜
fast
ಠᴥಠ
Answer:
Question a:
[tex]\frac{(2^3)^6 \times 9^3}{4^2 \times 27}\\= \frac{2^{18} \times 3^6}{2^4 \times 3^3}\\=2^{14} \times 3^3[/tex]
Question b:
[tex]\frac{35 \times 7^3}{5^2 \times 343}\\= \frac{7 \times 5^1 \times 7^3}{5^2 \times 7^3}\\= \frac{5^1 \times 7^4}{5^2 \times 7^3}\\=\frac{7^1}{5^1} = \frac{7}{5}[/tex]
Question c:
Note that this one is particularily simple as anything to the power of zero is equal to 1
[tex]((\frac{2^4 \times 3^6}{12^2})^0)^3\\= 1^3\\ =1[/tex]
Question d:
[tex]\frac{13^3 \times 7^0}{((65 \times 49)^2)^1}\\\frac{13^3}{(65 \times 49)^2}\\\frac{13^3}{(13 \times 5 \times 49)^2}\\\frac{13^3}{13^2 \times 5^2 \times 7^4}\\\frac{13}{5^2 \times 7^4}[/tex]
m – 9 + m + 3 what is the awnser
Answer:
2m - 6
Step-by-step explanation:
Combine the two m's in the equation to get 2m in which each m is 1. Combine -9 and 3 together to get -6 since you are adding 3 to -9. You should get 2m-6 as your final answer.
4x + 2y = 7
I need help
the answer is circle in blue
If Danny gains 40 yards on the football field and then looses 15, What was the end result?
Answer:
25 yards
Step-by-step explanation:
Subtract 15 from 40.
Hope this helped :)
Answer:
25 yards
Step-by-step explanation:
Arithmetics
Imagine a straight line divided into 1-yard marks.
Danny runs for 40 marks and locates at mark 40.
He later loses 15 yards and his new position is 40 - 15 = 25 yards
Therefore, the end result is that Danny is at the 25-yard mark.