What is the perimeter of the shape below?
Answer:
what are the units?
Step-by-step explanation:
depends on the side of 1 square
if it is 1 unit, perimeter is 22 units
The subject of the formula is y
y = x - 5
Rearrange the formula to make x the subject.
Answer: x=y+5
Step-by-step explanation:
Add 5 to both sides:
y+5=x-5+5
y+5=x
Answer:
x=y+5
Step-by-step explanation:
y=x-5
move 5 to the other side of the equation we sign changes
y+5=x
rearanging makes
x=y+5
Please help please help please help please help please help please help look at the thingy pls help
Answer:
The slopes of line segments AC and AD are same or constant i.e [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
We need to find slopes of AC and AD and tell if they are same or not.
The formula used to calculate slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
Finding slope of AC
We have A=(3,2) and C=(0,1)
Finding slope using formula:
We have [tex]x_1=3, y_1=2, x_2=0,y_2=1[/tex]
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{1-2}{0-3}\\Slope=\frac{-1}{-3}\\Slope=\frac{1}{3}[/tex]
So, Slope of AC is [tex]\frac{1}{3}[/tex]
Finding slope of AD
We have A=(3,2) and C=(9,4)
Finding slope using formula:
We have [tex]x_1=3, y_1=2, x_2=9,y_2=4[/tex]
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{4-2}{9-3}\\Slope=\frac{2}{6}\\Slope=\frac{1}{3}[/tex]
So, Slope of AD is [tex]\frac{1}{3}[/tex]
So, the slopes of line segments AC and AD are same or constant i.e [tex]\frac{1}{3}[/tex]
Roxanne invests $4.000 into an account that pays 4% simple interest. Roger invests the same amount of money with the same rate, but the
Interest is compounded annually. What will be the difference in Roxanne's and Roger's accounts after five years if no additional amounts are
deposited? Round to the nearest cent.
Answer:
Step-by-step explanation:
What grade?
Answer:
$67
Step-by-step explanation:
4000 for 4% equal $160/year total in 5 year equal $4800
the other one 4160 1 year, 4327 2 year, 4500 3 year, 4680 4 year, 4867 5 year the difference is $67 more has Roger than Roxanne
Simplify:
5x - 6x- 8x + 7
Answer:
-9x+7
Step-by-step explanation:
On a road trip, a family drives 350 miles per day. How many days, d, must they trave
to reach a distance of at least 1400? Write an inequality to represent this
situation.
Answer:
1400< 350d (its less than or equal to, but i cant put the bar under.
At its closest, Saturn is about 743,000,000 miles from Earth
At its closest, Saturn is about 743,000,000 miles from Earth. And a deep-space probe travels from Earth to Saturn at an average speed of 25,000 miles per hour.
Step-by-step explanation:
toni can carry up to 15 lbs in her backpack. her lunch weights 1 lb, her gym clothes weight 2 lb, and her books (b) weight 3 lb each. How many books can she carry in her backpack?
Answer:
4 books
Step-by-step explanation:
15-3=12
12/3=4
3. Jackson answered 80o of the questions on his Science test correctly. Colton scored 10
out of 12. Who scored the highest score?
Answer:
i think they both scored the same
Answer:
Colton did.
Step-by-step explanation:
Jack's score was 80%.
Colton got a score of 83.33...
I got Colton's score by solving 10/12.
Quadrilaterals ABCD and EFGH are shown in the coordinate plane. Quadrilaterat ABCD will be reflected across the x-axis and then rotated 90 clockwise about the origin to create quadrilateral A^ prime B^ prime C^ prime D^ prime . What will be the y -coordinate of B?
Answer:
Step-by-step explanation:
180 degree rotation about point C prime composition reflected across line m
Transformation involves changing the position of a quadrilateral by reflecting and/or rotating it.
The y-coordinate of B" is 3
The coordinates of vertex B of quadrilateral ABCD is:
[tex]\mathbf{B = (-3,7)}[/tex]
The rule of reflection across the x-axis is:
[tex]\mathbf{(x,y) \to (x,-y)}[/tex]
So, we have:
[tex]\mathbf{B' = (-3,-7)}[/tex]
The rule of 90 degrees clockwise rotation across the origin is:
[tex]\mathbf{(x,y) \to (y,-x)}[/tex]
So, we have:
[tex]\mathbf{B" = (-7,3)}[/tex]
Hence, the y-coordinate of B" is 3
Read more about transformation at:
https://brainly.com/question/18549175
At Open Skate Night, admission is $3.75 with a membership card and $5.00 without a membership card. Skate rentals are $3.00. The Moores paid $6 more for skate rentals than the Cotters did. Together, the two families paid $42 for skate rentals. How many pairs of skates did the Moores rent? The Moores rented 9 pairs of skates.
Answer: 8 skates
Step-by-step explanation:
Given that:
Skate rental = $3
Let number of skates rented by cotters = x
Hence, amount paid by cotters = 3x
The Moores paid $6 more
Moores amount = 3x + 6
Combined amount paid = 42
3x + 3x + 6 = 42
6x + 6 = 42
6x = 42 - 6
6x = 36
x = 36 / 6
x = 6
Hence, amount spent by the Moore's:
3x + 6
3(6) + 6 = 18 + 6 = $24
Cost per skate rental = $3
Hence x number of skates rented by the Moore's = $24 / 3 = 8 skates
When the sum of a number, n, and 6 is divided by 4 the
result is equal to 5. Set up and solve an equation to find
the value of n.
Answer:
n = 14
Step-by-step explanation:
(n + 6)4 = 5
1. multiply by 4
n + 6 = 20
2. substract 6
n = 14
The required value of n is 14 in the given sum.
What is algebra?Algebra is the analysis of mathematical representations, while logic is the manipulation of those symbols.
We have been given that the sum of a number, n, and 6 is divided by 4 the result is equal to 5.
According to the given question, we can write the algebraic form would be as:
⇒ (n + 6)/4 = 5
Apply the cross-multiplication operation,
⇒ (n + 6) = 5 × 4
Apply the multiplication operation,
⇒ (n + 6) = 20
⇒ n = 20 - 6
Apply the subtraction operation,
⇒ n = 14
Therefore, the required value of n is 14.
To learn more about the Algebra link is given below.
brainly.com/question/953809
#SPJ2
Solve number 3 please :)
Answer/Step-by-step explanation:
Function A has a rate of change of 10 and function B has a rate of change of 5, so function A has a greater rate of change.
y = mx + b
The slope also known as rate of change is represented as the variable m in y = mx + b. So whatever number replacing m is the rate of change. In this problem 10 is the slope or rate of change.
In a graph, rate of change is determined by the rate in which the output is increasing or decreasing compared to the increase or decrease of the input. In this graph for every 1x added 5y is decreased. So, the rate of change is 5.
I need help and D. Is x>-25
Answer:
x>50
Step-by-step explanation:
Answer:
x < 25
Step-by-step explanation:
Given
- 2x > - 50
Divide both sides by - 2, reversing the symbol as a result of dividing by a negative quantity
x < 25
Can someone please help....I’m stuck
Mr. Martin wrote the following problem on the board.
Juanita's car has a gas mileage of 21
|miles per gallon. How many miles
can Juanita travel on 7 gallons of
gas?
21miles
Alex used the expressionanllon
7gallons
to find the
answer. Did Alex make a mistake? Answer Yes or No. hi
Answer:
147 gallons
Step-by-step explanation:
21 miles x 7 gallons
Help for weather science
The product of two consecutive integers is 72.
Which of the following could be their sum?
E. -17
F. -1
G. 1
H. 18
Answer:
First I would find the square root of 72 with a calculator, which happens to be 8.49 (rounded to the nearest hundreth)
So we know that the two integers will be close to 8.48
Since they are consecutive, lets first test out 8 and 9
We multiply these two and get 72, which is the number we were looking for.
now we find their sum.
9 + 8 = 17
Now since this is not part of the answers, we now asume that both 9 and 8 are negative numbers, since negative times a negative is a positive, but a negative plus a negative can still be negative.
-9 + -8 = -9 - 8 = -17!
So, the answer you are looking for is E: -17
For what value of k, the zeroes of x2 + kx + 12 will differ by 1?
Let a and b be the zeroes of x² + kx + 12 such that |a - b| = 1.
By the factor theorem, we can write the quadratic in terms of its zeroes as
x² + kx + 12 = (x - a) (x - b)
Expand the right side and equate the coefficients:
x² + kx + 12 = x² - (a + b) x + ab
Then
a + b = -k
ab = 12
The condition that |a - b| = 1 has two cases, so without loss of generality assume a > b, so that |a - b| = a - b.
Then if a - b = 1, we get b = a - 1. Substitute this into the equations above and solve for k :
a + (a - 1) = -k → 2a = 1 - k → a = (1 - k)/2
a (a - 1) = 12 → (1 - k)/2 • ((1 - k)/2 - 1) = 12
→ (1 - k)²/4 - (1 - k)/2 = 12
→ (1 - k)² - 2 (1 - k) = 48
→ (1 - 2k + k²) - 2 (1 - k) = 48
→ k² - 1 = 48
→ k² = 49
→ k = ± √(49) = ±7
Please help its almost due!!
Answer:
you have multiply 11 and 120
what is the square root of a perfect square always rational
Answer:
The square root of a perfect square will always be a whole positive or negative number
Step-by-step explanation:
what is x in 4x²-12x+ 9 = 0
Answer: x = √9/8
answer is x = square root of 9/8
Step-by-step explanation:
Which is true? Any translation can be replaced by two reflections. Any translation can be replaced by two rotations. Any rotation can be replaced by a reflection. Any reflection can be replaced by a rotation followed by a translation.
Answer:
Following are the solution to the given question:
Step-by-step explanation:
There is no numbering of the question, which is specified in the enclosed file. please, Find it.
In point 1, the statement is true .
In point 2, the statement is False.
In point 3, the statement is true .
In point 4, the statement is False.
Help please!!
Lisa traveled 140 miles on 2/5 of a tank of gas. At this rate, how far can she travel on one tank of gas?
Answer:
350miles
Step-by-step explanation:
What is the oblique asymptote of g(x)= x^2-3x-5/x+2?
Answer:
excuse me these words are some other language
Answer:
It's y= x-5
Step-by-step explanation:
If k‐th term of a sequence is ak = ( -1) ^k(2-k)k/2k-1
,what is its next term ak+1 when k is even?
Given:
kth term of a sequence is
[tex]a_k=\dfrac{(-1)^k(2-k)k}{2k-1}[/tex]
To find:
The next term [tex]a_{k+1}[/tex] when k is even.
Solution:
We have,
[tex]a_k=\dfrac{(-1)^k(2-k)k}{2k-1}[/tex]
Put k=k+1, to get the next term.
[tex]a_{k+1}=\dfrac{(-1)^{k+1}(2-(k+1))(k+1)}{2(k+1)-1}[/tex]
If k is even, then k+1 must be odd and odd power of -1 gives -1.
[tex]a_{k+1}=\dfrac{(-1)(2-k-1)(k+1)}{2k+2-1}[/tex]
[tex]a_{k+1}=\dfrac{(-1)(1-k)(1+k)}{2k+1}[/tex]
[tex]a_{k+1}=-\dfrac{1^2-k^2}{2k+1}[/tex] [tex][\because (a-b)(a+b)=a^2-b^2][/tex]
[tex]a_{k+1}=-\dfrac{1-k^2}{2k+1}[/tex]
Therefore, the next term is [tex]a_{k+1}=-\dfrac{1-k^2}{2k+1}[/tex].
What is the answer???
Please help me with this
Perry currently has $238 dollars and is spending $6 per day. Nick has no money but is earning $8 each day. After how many days will they have the same amount of money?
Answer:
are you sure it is not 180? if it is it is 12.87
but if it is 238 it is 21 days or something close
Let x= t+2 and y= t² Write an equation for y in terms of only X
Answer:
[tex] y = {x}^{2} - 4x + 4[ /tex]
Step-by-step explanation:
[tex] x = t + 2 \\
\implies \: x - 2 = t....(1) \\
y = {t}^{2} ....(2) \\
plug \: t = x - 2 \: in \: equation \: (2) \\
y = {(x - 2)}^{2} \\
\red{ \bold{ y = {x}^{2} - 4x + 4}}[/tex]
A gallon of gas costs $2.93 per gallon. Marcie's car holds 10 gallons. If her tank is empty, how many will it cost to fill it?