Answer:
[tex]y= -\frac76x +1[/tex]; [tex]y= \frac67x -\frac{78}7[/tex]
Step-by-step explanation:
We know from theory that two perpendicular lines have the product of their slope equal to -1. Let's find the second slope:
[tex]\frac67m = -1 \rightarrow m=-\frac76[/tex]
At this point we can just use the slope-point equation to get our first line:
[tex]y-y_0 = m(x-x_0)\\y-(-6) = -\frac76(x-6) \\y+6= -\frac76x +7\\y= -\frac76x +1[/tex]
Now, we know that two parallel lines have the same slope. Time to apply the same point-slope formula, with the original m this time.
[tex]y-(-6) = \frac67(x-6)\\y+6 = \frac67x -\frac{36}7\\y= \frac67x -\frac{36}7 -{\frac{42}7[/tex]
[tex]y= \frac67x -\frac{78}7[/tex]
A triangle has two sides of length 7 and 9. What is the largest possible whole-number length for the third side?
Answer:
15
Step-by-step explanation:
the first triangle inequality theorem, the lengths of any two sides of a triangle must add up to more than the length of the third side.
7 + 9 = 16
16 must be more than the third side
15 is the largest whole number less than 16
how do i do this pls explain the steps
Answer:
[tex]a^{\frac{15}{2} }[/tex]
Step-by-step explanation:
Using the rules of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]
([tex]a^{\frac{1}{2} }[/tex] × a)^5
= [tex](a^{\frac{1}{2}+1) }[/tex]^5
= [tex](a^{\frac{3}{2}) } ^{5}[/tex]
= [tex]a^{\frac{15}{2} }[/tex]
Anna starts a fixed deposit with $178000, the bank offers 9.5% per year simple interest for 8 months. she has the option of restarting the investment using the interest earned as principal or cashing out at the end of the 8 months, (A) Calculate the interest due after 8 months. (B) if she restarts the investment into a new one calculate the total value of the investment at the end of the second 8 months
Using simple interest, we have that:
A) The interest due after 8 months is $11,272.33.
B) The total value of the investment will be of $189,986.24.
The amount of interest earning using simple interest, after t years, with an yearly interest rate of i and an initial investment of P is given by:
[tex]E = Pit[/tex]
In this problem:
Deposit of $178,000, hence [tex]P = 178000[/tex].Interest rate of 9.5% per year, hence [tex]i = 0.095[/tex].8 months, the time is in years, hence [tex]t = \frac{8}{12} = \frac{2}{3}[/tex]Item a:
[tex]E = Pit[/tex]
[tex]E = 178000(0.095)\frac{2}{3} = 11272.33[/tex]
The interest due after 8 months is $11,272.33.
Item b:
For the second interest, we consider [tex]P = 11272.33[/tex], hence:
[tex]E_2 = Pit[/tex]
[tex]E_2 = 11272.33(0.095)\frac{2}{3} = 713.91[/tex]
The total value will be composed by:
The initial deposit of $178,000.The first interest of $11,272.33.The second interest of $713,91.Hence, it will be:
[tex]T = 178000 + 11272.33 + 713.91 = 189986.24[/tex]
The total value of the investment will be of $189,986.24.
A similar problem is given at https://brainly.com/question/13176347
What is the slope of the line that passes through the points (-3,3) and (-3, 13)?
Write your answer in simplest form.
Answer:
ΔY = 10
Step-by-step explanation:
plz help will mark as brainliest
Answer:
Side AB and side BC
Step-by-step explanation:
Hope it helps
Can anyone help? I don’t know how to do #28
Answer:
enlarge the equilateral triangle and put -2
Step-by-step explanation:
What is the CONJUGATE of the expression -3 - 4i ?
What is the absolute value of -3 - 4i?
with calculations
[tex]\text{Conjugate of -3-4i is -3+4i}\\\\|-3-4i| = \sqrt{(-3)^2 + (-4)^2} = \sqrt{9+16} = \sqrt{25} =5[/tex]
divide £64 in the ratio5 3:
Answer:
£40 : £24
Step-by-step explanation:
sum the parts of the ratio, 5 + 3 = 8 parts
Divide the amount by 8 to find the value of one part of the ratio
£64 ÷ 8 = £8 , then
5 parts = 5 × £8 = £40
3 parts = 3 × £8 = £24
£64 in the ratio 5 : 3 is £40 : £24
Answer:
24:40
Step-by-step explanation:
Let the ratio be 3x and 5x
3x+5x=64
8x=64
X=8
ratio=3(8):5(8)
24:40
2x+4 over 3 - 5x-7 over 2 = 5 solve the equation
Answer:
x = -1/11.
Step-by-step explanation:
I am interpreting this as:
(2x+4)/ 3 - (5x-7)/2 = 5
Multiply through by the LCM of 2 and 3 ( that is 6):
2(2x + 4) - 3(5x - 7) = 30
4x - 15x + 8 +21 = 30
-11x = 30 - 21 - 8
-11x = 1
x = -1/11.
Old Faithful in Yellowstone National Park shoots water 60 feet into the air that casts a shadow of 42 feet. What is the height of a nearby tree that casts a shadow 63 feet long? Assume the triangles are similar.
tell the answer of the last q i asked pls
q was :-(
Rohan spent 20% of his pocket money on transport and ₹60 on his breakfast.If he spent 15% of the remaining money on his lunch and had ₹340 left, what was his pocket money?
He spent on transport = 20%
spent on breakfast = 60/-
spent on lunch = 15%
remaining amount = 340
rs he spent on transport = 20/100 × 340 =68
rs he spent on lunch = 15/100 × 340 = 51
Therefore, total of his pocket money = 68 + 51 + 60 + 340
= ₹519
What is the value of this expression?
−29−(−13÷35)
Answer:
-29 13/35
Step-by-step explanation:
One hundred 50 cents coins have a mass of 690 g what is the mass of one 50 cents coin
Answer:
25
Step-by-step explanation:
PLEASE IM BEGGING PLEASE I RLLY NEED THIS PKS PLS
Answer:
yeah I don't know why I don't know so please don't ask me
Step-by-step explanation:
ido
HELP ME PLEASE I NEEED A GOOD GRADE DESPERATELY!!!!!
Question: A function has following characteristics:
• From -5 to -3, the function increases.
• From -3 to 0, the function neither increases nor decreases
From 2 to 5, but he function increases.
Which could be the graph(s) of this function?
Answer:
1.
Step-by-step explanation:
Answer:
The graphs that could be this function are the third one and the last one.
C and E
Hope this helps!
Step-by-step explanation:
Other than C and E, all of the other functions start out by decreasing starting from -5.
They both also have the straight part from -3 - 0 where the function neither increases nor decreases.
They also have the part where from 2 increases to 5.
School OL ROC below
School of Rock
Guitar Bass Drums Keyboard Total
6th grade 13 10 17
20
60
7th Grade
14
17
11
10
8th Grade
18
12
17
16
63
Total
45
51
42
175
What percent of the 7th graders in the School of Rock play keyboard? Round your
answer to the nearest whole number percent,
Submit Anwwer
0
Using the percentage concept, it is found that 19% of the 7th graders in the School of Rock play keyboard.
The percentage of an amount a relative to another amount b is given by:
[tex]P = 100\frac{a}{b}[/tex]
From the table given:
There are 14 + 17 + 11 + 10 = 52 7th graders, hence, [tex]b = 52[/tex]Of those, 10 play the keyboard, hence [tex]a = 10[/tex]Then
[tex]P = 100\frac{a}{b} = 100\frac{10}{52} = 19[/tex]
19% of the 7th graders in the School of Rock play keyboard.
A similar problem is given at https://brainly.com/question/10491646
Question 1 of 10 According to the Venn diagram below, what is P(A U B U C)?
A. 21/25
B.24/25
C.22/25
D.23/25
Answer:
D. 23/25
Step-by-step explanation:
Add all the numbers inside the venn diagram for the number of outcomes
> 10+2+8+8+6+5+7 = 46
Then add all the numbers inside and outside the venn diagram for the number of possibilities
> 10+2+8+8+6+5+7+4 = 50
[tex]p(a \: u \: b \: u \: c \: ) = \frac{total \: number \: of \: outcomes}{total \: number \: of \: possibilities} [/tex]
[tex]p( a \: u \: b \: u \: c) = \frac{46}{50} [/tex]
[tex]p(a \: u \: b \: u \: c \: ) = \frac{23}{25} [/tex]
How do I slove Solving Systems Using Matrices in word form like this please help I'm almost don't for the night >_< ;-; :( o-o
Answer:
Below!
Step-by-step explanation:
I NEED THE ANSWER ASAP. IM BEING TIMED
The following information is known about a savings account.
Time = 6 years
Interest rate = 1.9%
Principal = $850
What amount of total interest will be earned at the end of year 6?
Answer:
96.90
Step-by-step explanation:
I = PRT
T = 6
P = 850
I = 1.9% = 0.019
I = (850)(0.019)(6) = 96.90 <==
6 of 10
Type the expression that results from the following series of
steps:
Start with k, subtract 2, multiply by 6, then add 8.
Step step :
k k - 2k - 2 × 6 k - 2 × 6 + 8-HayabusaBrainly
Simplify: 4x(x^2 – 3x + 1)
A)4x^3 - 7x^2 +5
B)4x^2 – 12x^2 + 4
C) 4x^3 - 12x^2 + 4x
D)4x^2 - 12x + 1
Answer:
its c
Step-by-step explanation:
4x*x^2= 4x^3
-3x*4x =-12x^2
1*4x = 4x
= 4x^3 -12x^2 + 4x
Does the table below represent a function?
Answer:
Yes
Step-by-step explanation:
It is a function because the x value doesnt repeat itself. The x value is the input
There are four groups of 20 people walking on a shrew each person walks 3 miles how many total miles do all of the people walk
All the peoples in a group walk 240 miles.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
There are 4 groups of 20 peoples.
And, Each person walk 3 miles.
Now,
Since, There are 4 groups of 20 peoples.
So, Total number of peoples in 4 groups = 4 x 20
= 80
And, Each person walk 3 miles.
So, The distance cover by 80 peoples = 80 x 3
= 240 miles.
Thus, All the peoples in a group walk 240 miles.
Learn more about the multiplication visit;
https://brainly.com/question/2811940
#SPJ2
Answer number eleven and thirteen please
Answer:
Both are right trianglesStep-by-step explanation:
Use Pythagorean to decide
#11Sides 12, 16, 20
12² + 16² = 20²400 = 400Right triangle#13Sides 2.4, 4.5, 5.1
2.4² + 4.5² = 5.1²26.01 = 26.01Right triangleBryan can run 2 miles in 20 minutes. How many miles can he run in 100 minutes?
Answer:
If Bryan can run 2 miles in 20 minutes, he can run 10 miles in 100 minutes.
Step-by-step explanation:
To determine the answer to this problem, we can first find how many minutes it takes Bryan to run one mile. Because it takes him twenty minutes to run two miles, it must take Bryan ten minutes to run one mile.
1 mile = 10 minutes
Multiply this by ten to find how many miles Bryan runs in 100 minutes.
10 miles = 100 minutes
Bryan can run 10 miles in 100 minutes.
Answer: 10 miles
Step-by-step explanation: They’re equivalent to the minutes. 20 minutes 2 miles, 40 minutes 4 miles and so on.
The sum of three times a number and −4 is at most 17.
Answer:
7
Step-by-step explanation:
17 +4 = 21
21/3 = 7
After Gwen, Tristan, and Keith finish exercising, they go to the fair. At the fair, they each pay the entry fee and also buy tickets they can use for food or rides. Gwen pays the entry fee and buys 10 tickets. It costs her a total of $30. Tristan pays the entry fee and buys 15 tickets. It costs him a total of $40. Keith pays the entry fee and buys 10 tickets. It costs him a total of $30. In this task, you will create a system of equations and find the cost of each ticket. Let x represent the entry fee and y represent the cost of each ticket in dollars.
What do you need to do to the equations so you can put them into the Graph tool? Put the equations into the Graph tool. To create the graph, select the correct relationship and then enter the values for the variables. Paste a screenshot of your graph in the space provided. Do you get the same solution as when you solved it algebraically?
Answer:
150 because he bought them
Step-by-step explanation:
DIRECTIONS: Use this information to answer Parts A and B.
Home sold for $286,000. The amount the homeowner received, before taxes and closing costs, was the selling price minus the commission to the real estate agent, which was 6%.
Question 1
Part A
How much commission did the real estate agent earn on the sale?
Part B
How do you know your answer is reasonable?
Answer:
268,840
Step-by-step explanation:
286,000 x 6% commission= 17,160. you then subtract this commission from the sold price of 286000=$17160
PLEASE HURRY ‼️
A bag contains 1 red, 1 yellow, 1 blue, and 1 green marble. What is the probability of choosing a green marble, not
replacing it, and then choosing a red marble?
1/16
1/12
1/4
1/2
Answer:
1/12
Step-by-step explanation:
this is the correct answer
Plug in missing values to make it a function…. Please help
Answer:
p = 5
Step-by-step explanation:
Judging from (0,0) and (10,-20) as given in the chart, the function is y = -2x.
Substituting that for the second row, you would get the equation -10 = -2x.
Simplifying, you get x = 5, so the value of p is 5.
Answer:
5
Step-by-step explanation:
First find the slope
m = ( y2-y1)/(x2-x1)
m = (-20-0)/(10-0)
= -20/10
= -2
We know the slope and have two points, (0,0) and (p,-10)
-2 = ( -10-0)/(p-0)
-2 = -10/p
Multiply each side by p
-2p = -10
Divide each side by -2
p = -10/-2
p = 5