Step-by-step explanation:
the slope of a line is always the factor of x, when the equation is in the form
y = ...
the slope of
y = 2x - 3
is 2.
the slope of
y = -7x - 5
is -7.
for the slope of
16 = 4y - 7x
we need to do some calculation first to bring it into the right format :
4y = 7x + 16
y = 7/4 x + 16/4 = 7/4 x + 4
the slope is
7/4
similar for
0 = -5y + 2x - 5
5y = 2x - 5
y = 2/5 x - 5/5 = 2/5 x - 1
the slope is
2/5
it is important to understand that the slope is always a ratio of y coordinate change / x coordinate change.
so, a slope of e.g 2 is actually the ratio 2/1.
a perpendicular slope switches x and y upside-down, and flips the sign.
e.g. if the original slope is 5 (= 5/1), the perpendicular slope is then -1/5.
the perpendicular slope of
y = 2x - 3
is
-1/2
the perpendicular slope of
y = -7x - 5
is
1/7
the perpendicular slope of
16 = 4y - 7x
is
-4/7
the perpendicular slope of
0 = -5y + 2x - 5
is
-5/2
-4>k-2 solve the inequality
Answer:
k<-2
Step-by-step explanation:
hope this helps :)
Adam invests £520 into an savings account.
Adam gets 0.5% per year simple interest.
Work out the total interest Adam will get after 5 years.
Answer: 1300 i think
Step-by-step explanation:
Adam invest 250 into account and then he gets 0.5% interest, that means he has to multiply 250 by 0.5% and then multiply again by five because of the five years.
Please help F + g (1)
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Answer:
a) -13
b) -22
Step-by-step explanation:
It can be convenient to compute the function values first:
f(1) = 1² -14·1 = -13
g(1) = 1 +8 = 9
Then the compositions are ...
(a) (f+g)(1) = f(1) +g(1) = -13 +9 = -4
(b) (f-g)(1) = f(1) -g(1) = -13 -9 = -22
what is the x- intercept of the line 5x-2y=10
Answer:
The x-intercept is 2, or B.
Step-by-step explanation:
Substitute 0 in for y to solve for X. 5x=10 -> x=2
Answer:
Step-by-step explanation:
5x-2y=10
divide by 10 to make right hand side=1
[tex]\frac{x}{2} +\frac{y}{-5} =1[/tex]
x-intercept=2
y-intercept=-5
The longer coffee sits on a desk, the cooler it becomes.
True or False? The length of time on the desk is a function of the temperature
of the coffee.
A. True
B. False
Answer:
I believe its B False
Answer:
A
Step-by-step explanation:
Four friends went to eat at a restaurant. The bill came to $25.68 after tax and tip. One friend had a $5.00 off coupon that the cashier needed to take off the total bill. How much is each person to pay if they split the bill equally after the discount?
Answer:
$5.17
Step-by-step explanation:
Take 25.68 and subtract the $5.00 coupon. Then divide the total by 4 to get the answer
Elena drank 5 bottles of water over 7 volleyball practices. How much water did Elena drink each practice if she drank the same amount each time?
Please have good explanation
Answer:
Step-by-step explanation:
If you would like to know how much water did Elena drink each practice if she drank the same amount each time, you can calculate this using the following steps:
5 bottles of water ... 7 practices
x bottles of water = ? ... 1 practice
5 * 1 = 7 * x
5 = 7 * x /7
x = 5/7 bottle of water
The correct result would be 5/7 bottle of water.
If the numerator of a fraction is increased by 3, the fraction becomes 3/4.If the denominator is decreased by 7,the fraction becomes 1. Determine the original fraction.
Answer:
9/16
Step-by-step explanation:
Let the original fraction be
x/y
Then
x+3/y=3/4
and
x/y-7=1
Look at 2nd fraction, rearrange it such that you multiply by "y-7" on both sides
x=y-7
Substitute this into 1st fraction:
x-7+3/y=3/4
Now we can solve this for y: cross-multiply --> (Note: y-7+3 = y-4)
4(y-4)=3y
y=16
Sub this back into "x = y-7" to get x
x=16-7=9
Therefore the original fraction is:
9/16
5,576 divided by 92~
The answer is 60.61 when you divide 5576/92
Which expression is equivalent to 5 (n - 9)?
A) 5n - 45
B) 5n + 45
C) 5n - 9
D) 5n + 9
Answer:
[tex]A= 5n-45[/tex]
Step-by-step explanation:
Can u gimme brain plz!
Jill drove her car for 7 days across the country. She travelled 525 miles. If she continues this pace, how many miles will she have driven after 12 days?
Answer:
900 miles
Step-by-step explanation:
In 7 days she travels 525 miles.
So, in 1 day she travels: 525 ÷ 7 = 75miles
In 12 days she will have driven : 75 × 12 = 900 miles
Step-by-step explanation:
of at 7days Jill drove 525 miles
then she would drive x Miles in 12 days
7d = 525 miles
12 d = (12 ×525)/7
900 miles
(It’s making me type 20 characters long soooooo.
Answer:
c
Step-by-step explanation:
C is split into thirds which would be 33.333.... B and D are 333.3% and 330% shaded because 1 fully shaded model is 100%.
Help!! ALGEBRA. HELP PLEASE
Answer:
1. x=15
2. x=128
3. x=47
4. x=21
Create a word problem with the equation x=y^3
Answer:
Find the value of y if x is equal to y^3. Hope it helps (not completly sure of the answer though)
The width of a rectangle is 4n - 4.5 feet and the length is 4.5n + 9 feet. Find the perimeter of the
rectangle.
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Answer:
17n+9 feet
Step-by-step explanation:
The perimeter of a rectangle is twice the sum of length and width.
P = 2(L +W)
P = 2((4.5n +9) +(4n -4.5)) = 2(8.5n +4.5)
P = 17n +9
The perimeter of the rectangle is 17n +9 feet.
joe has 4/5 of acre of land and wants to sell 2/3 what fraction of an acre does he want to sell
Answer:
The answer is
If all of the land had 100 acres than Joe would want to sell 28 of an acre.
Help! Will give brainiest
Which models show the problem 4/6 ÷ 2/6 = 2? Check all that apply.
Answer:
1st, 2nd, and 3rd models are correct
Step-by-step explanation:
Please help me with this question
Answer:
It would be A,B
Step-by-step explanation:
Which of the following is true concerning the expression 6x + 3 + x? 6x and 3 are like terms. B 6x and x are like terms. C The simplified form of the expression is 6x + 3. D The simplified form of the expression is 10x.
Answer:
Time is very precious and we should not waste it in any way. Likewise, we can earn the money we spent but we cannot get back the time we have lost. So, this makes the time more valuable than money. Hence, we should utilize the time in the most possible way.
Step-by-step explanation:
Time is very precious and we should not waste it in any way. Likewise, we can earn the money we spent but we cannot get back the time we have lost. So, this makes the time more valuable than money. Hence, we should utilize the time in the most possible way.
Answer:
9 is the answer because it is the answerr
Ansel has two family members who travel for work. Ansel’s aunt travels every 12 days. Ansel’s cousin travels every 8 days. Today both of Ansel’s family members are traveling for work. After how many days will both family members travel on the same day again
Find the number that belongs
in the green box.
Round your answer to the nearest tenth.
Answer:
Step-by-step explanation:
The unknown angle.
Start by finding the third angle. Call it x.
x + 125 + 32 = 180
x + 157 = 180
x = 180 - 157
x = 23
Now you are set to use the law of sines.
Call ? = x
x/sin(32) = 7/sin(23) Multiply both sides by Sin(32)
x = 7*sin(32)/sin(23)
x = 7*(0.5299) / sin(23)
x = 3.7094/ sin(23)
x = 3.7094 / 0.3097
x = 9.4935
Rounded to the nearest 10th
x = 9.5
Here are the first five terms of a number sequence.
45
40
35
30
25
Write down the next two terms of this sequence.
Answer:
40 is surface the answer of I think about it but I will solve the sum and will give the ans
I am very confused about this
Answer:
Area of triangle = 1/2 b×h1/2×22×7 = 77cm^2Area of parallelogram = b×hArea = 22×9= 198cm^2Total area of composite figure77cm^2 + 198cm^2= 275cm^2Answer:
Triangle: 77
Parallelogram: 198
Total: 275
Step-by-step explanation:
The area of a triangle is one half the base times the height.
[tex]A_{T}=\frac{1}{2}bh=\frac{1}{2}(22)(7)=77[/tex]
The area of a parallelogram is base times height.
[tex]A_{P}=bh=(22)(9)=198[/tex]
The total area is the sum.
77+198=275
Help, will give brainiest!
Use the drop-down menu to complete the statement.
The quotient of 3 divided by 3/4 is ___
(1) 3
(2) 4
(3) 9
(4) 12
Answer:
The answer is (2) 4
Step-by-step explanation:
Give brainliest
100 points!!
What is the area of the object?
Answer: You are correct the answer is 90
Step-by-step explanation:
12 times 7 is 84 and 3 times 2 is 6 so that is 90 total
Answer:
54sq
Step-by-step explanation:
a student earn $16 per day for delivering overnight packages. She is paid $7 per day plus .60 for each package delivered. How many more deliveries mush she must make each day to increase her earnings to $28?
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Answer:
20 more deliveries
Step-by-step explanation:
The student wants to increase her earnings by $28 - 16 = $12 per day. Her earnings increase by $0.60 per package delivered, so she must deliver ...
$12/($0.60/pkg) = 20 pkgs
more each day.
find f(-2) for the function f(x)=5x+14
Answer:
f(-2)=(-11)
Step-by-step explanation:
f(-2)=5(-5)+14
=(-25)+14
=(-11)
25 + (98-7) x4 PLEASE HELP
Answer: The answer is 464
Step-by-step explanation:
Bc you do 98-7=91, Then you do 25+91*4, Next Do 25+91=116, Last you 116*4= 389 and If this is wrong use a Calaculator Ok
_ Mhart7109
If AC = 14, what is the measure of AD? Round your answer to the nearest hundredth.
Part A
Answer: Choice D) [tex]\text{AD} = \sqrt{(2n+5)^2+(4n-3)^2}[/tex]
-----------------------------------------------
Explanation:
Let E be the intersection point of the diagonals. For any parallelogram, the diagonals bisect each other. This means that AE = EC = 2n+5 and it also means EB = DE = 4n-3
Focus on triangle AED. This triangle is a right triangle with angle AED as a 90 degree angle (any rhombus has its diagonals that are perpendicular to one another). The legs of this triangle are AE = 2n+5 and ED = 4n-3
Apply the pythagorean theorem to find hypotenuse AD
[tex](\text{leg1})^2+(\text{leg2})^2 = (\text{hypotenuse})^2\\\\(\text{AE})^2+(\text{ED})^2 = (\text{AD})^2\\\\(\text{AD})^2 = (\text{AE})^2+(\text{ED})^2\\\\\text{AD} = \sqrt{(\text{AE})^2+(\text{ED})^2}\\\\\text{AD} = \sqrt{(2n+5)^2+(4n-3)^2}\\\\[/tex]
This points to choice D as the final answer.
===========================================================
Part B
Answer: 7.07-----------------------------------------------
Explanation:
If AC = 14, then half of this is AE = 7. The diagonals bisect each other, so they cut each other in half with E at the midpoint.
Since AE = 2n+5, we can solve for n like so
2n+5 = 7
2n = 7-5
2n = 2
n = 2/2
n = 1
Then we can find the length of AD
[tex]\text{AD} = \sqrt{(2n+5)^2+(4n-3)^2}\\\\\text{AD} = \sqrt{(2*1+5)^2+(4*1-3)^2}\\\\\text{AD} = \sqrt{(2+5)^2+(4-3)^2}\\\\\text{AD} = \sqrt{7^2+1^2}\\\\\text{AD} = \sqrt{49+1}\\\\\text{AD} = \sqrt{50}\\\\\text{AD} \approx 7.0710678\\\\\text{AD} \approx 7.07\\\\[/tex]
Segment AD is roughly 7.07 units long. The other external sides of the rhombus (AB, BC and CD) are also this length because the four sides of any rhombus are the same length.
6x - 5 + 7x = 34 find variable
Answer:
x = 3
Step-by-step explanation:
6x - 5 + 7x = 34
Find x
______________
To solve this, we need to isolate x :
First add like terms :
6x + 7x
13x
13x - 5 = 34
Add 5 to both sides :
13x = 39
Divide 13 from both sides to get x alone :
x = 3
Answer:
x=3
Step-by-step explanation:
Start by moving the 5 over creating 6x+7x=34+5. Then add them together 13x=39. And now simplify x=3