The dimensions of a rectangle are shown. What is the perimeter, in units of the rectangle?
Answer:
the perimeter, in units of the rectangle is 16x + 20
Step-by-step explanation:
perimeter of a rectangle be is 2(L + B)
p = 2(L + B)
L = 5x + 2
B = 3x + 8
p = 2L + 2B
p = 2(5x + 2) + 2(3x + 8)
p = (10x + 4) + (6x + 16)
p = 10x + 4 + 6x + 16
Collect like terms
p = 10x + 6x + 4 + 16
p = 16x + 20
Answer: 16x+20
Step-by-step explanation:
perimeter of a rectangle is the length of all sides added together.
(3x+8)+(3x+8)+(5x+2) + (5x+2)
combine like terms
16x+20
which function represents this sequence (1,6) (2,18) (3,54) (4,162) (5,486)
Step-by-step explanation:
3 54 4 162 5 486
sorry if I'm wrong
Find the rate of change for f(x)=x^2-8x+15 from x=0 to x=4
Answer:
-4
Step-by-step explanation:
Find the rate of change for f(x) = x² - 8x + 15 from x = 0 to x = 4
The rate of change is the rate at which a variable changes over a specific period of time.
Averate rate of change: [tex]\frac{f(b)-f(a)}{b-a}[/tex]
First, we need to find the functions for when x = 0 and when x = 4:
For x = 0
f(x) = x² - 8x + 15
f(0) = 0² - 8(0) + 15
f(0) = 0 - 0 + 15
f(0) = 15
For x = 4
f(x) = x² - 8x + 15
f(4) = (4)² - 8(4) + 15
f(4) = 16 - 32 + 15
f(4) = -16 + 15
f(4) = -1
Averate rate of change: [tex]\frac{f(b)-f(a)}{b-a}[/tex]
A = [tex]\frac{f(4)-f(0)}{4-0}[/tex]
A = [tex]\frac{-1-15}{4-0}[/tex]
A = [tex]\frac{-16}{4}[/tex]
A = [tex]-4[/tex]
Therefore, the rate of change from x = 0 to x = 4 is -4.
Hope this helps!
Vector V is shown in the graph below.
HELP!
Which of the following represents the linear form of v?
v= -6i -8j
v= -8i-6j
v= 6i +8j
v= 8i +6j
Answer:
v = -8i - 6j
Step-by-step explanation:
The starting point is (9, 9)
The direction of the vector is the direction of the arrowhead.
The i is the horizontal component.
The j is the vertical component.
Therefore, to go from the start to the end of the line, we need to travel negative 8 units (horizontally) and negative 6 units (vertically).
Therefore, v = -8i - 6j
Answer:
(b) v = -8i -6j
Step-by-step explanation:
The unit vectors in the x- and y-directions are i and j, respectively.
The vector v shown in the graph extends from x=9 to x=1, or (1 -9) = -8 units in the x-direction.
It extends from y=9 to y=3, or (3-9) = -6 units in the y-direction.
Represented as a sum of x- and y-vectors, that is ...
v = -8i -6j
Need help ASAP! 5th grade math, will give brainliest! c: (you may want to attach a photo to show your work!)
Answer:
5/6, 3/10, 1/2
Step-by-step explanation:
1.5 cakes are shared equally between 6, meaning there are 5/6 of a cake for each person.
2. The pizza is shared equally between 10 people, meaning each person gets 3/10 of a pizza.
3. Each person receives 1/2 of a granola bar as as simplified version 0f 4/8 is 1/2
262 diveded by 2.5 please help
Answer:
The answer is 104.8
Step-by-step explanation:
Calculator
Identify the translation of the figure with the vertices P(−4,−5), L(1,−7), and K(−9,8), along the vector <−6, 3>.
Answers:
P ′(−10, −2), L ′(−5, −4), K ′(−15, 11)
P ′(2, −8), L ′(7, −10), K ′(−3, 5)
P ′(−10, −8), L ′(−5, −10), K ′(−15, 5)
P ′(2, −2), L ′(7, −4), K ′(−3, 11)
Answer:
P ′(−10, −2), L ′(−5, −4), K ′(−15, 11)
Step-by-step explanation:
The translation vector, ⟨−6,3⟩, can be used to derive a rule for the translation of the coordinates: (x,y)→(x−6,y+3).
Apply the rule to translate each of the three preimage vertices to the image vertices.
P(−4,−5)→P'(−10,−2)
L(1,−7)→L'(−5,−4)
K(−9,8)→K'(−15,11)
Therefore, P'(−10,−2), L'(−5,−4), N'(−15,11) is the translation of the figure with the vertices P(−4,−5), L(1,−7), and K(−9,8), along the vector ⟨−6,3⟩.
Answer:
P ′(−10, −2), L ′(−5, −4), K ′(−15, 11)
Step-by-step explanation:
P(−4,−5)→P'(−10,−2)
L(1,−7)→L'(−5,−4)
K(−9,8)→K'(−15,11)
Therefore, P'(−10,−2), L'(−5,−4), N'(−15,11) is the translation of the figure with the vertices P(−4,−5), L(1,−7), and K(−9,8), along the vector ⟨−6,3⟩.
Joe bought a house for $200,000. The value of the house can be represented by the formula V = 200,0
t represents the number of years since Joe purchased the home. About how many years will it take for
home to be worth more than twice its purchase price?
21
The value of the home after 21 years is 200,000(1.035)^21=411,886.29
DONT UNDERSTAND AT ALLL
Answer:
finding the area:
146
Step-by-step explanation:
You need to break the image up into 3 pieces. the lower big triangle, the middle square, and the top triangle.
the measuremets of the lower big triangle is 14 and 14.
to find the area, we need to do 1/2 *14*14
this equals 98
The measurements of the square is 4,4.
we multiply 4*4 to get 16
The measurements of the top triangle is 8,8.
We find the area by doing 1/2*8*8
We get 32
lastly, we add up all of our solutions.
we do 98+16+32
we get 146.
what is the correct answers NEED ANSWER ASAP
Answer:
Reflection over x-axis
Horizontal shift right 1
Vertical shift up 6
Step-by-step explanation:
see image to see how to find this infor in the equation.
Horizontal changes are in close to the x, but opposite of what you might think. Minus shifts RIGHT and plus shifts LEFT.
Answer:
Your answer:
Horizontal shift right 1.Vertical shift up 6.Reflect over the x-axis.Step-by-step explanation:
[tex]f(x)=x^2 , g(x)=-(x-1)^2+6[/tex]
[tex]y=-a(x-h)^2+k[/tex]
For g(x) our (h,k) = (1,6)
h - translate right/left, our h = 1 is right 1.
h - translate up/dqwn, our k = 6 is up 6.
If a = positive - no reflect x-axis. If a = negative - reflect x-axis.
The point A(-7, 3) is reflected over the point (-4, 5) and its image is point B.
What are the coordinates of point B?
20 points.
(7, 3) is the answer I believe
A gallon of gas costs $3. 05 per gallon. Joey's car gets 35 miles per gallon on the highway and 27 miles per gallon in the city. Using the
highway, Joey drives at an average speed of 54 miles per hour, and it takes him 0. 5 hours to get to work. The highway has one $1. 25 toll.
Using a city street route, Joey drives at an average speed of 36 miles per hour, and it takes him 1 hour to get to work.
Which quantities would be used to determine the total cost for Joey to drive to work using the highway? Choose all that apply. A. 0. 5 hours B. 1 hour C. $1. 25 per car D. $3. 05 per gallon E. 27 miles per gallon F. 35 miles per gallon G. 36 miles per hour H. 54 miles per hour
Answer: using the street route, he drove for half hour/0.50hr or 30minutes. Hence he covered 27miles on that trip, deducted from 54miles per hour for 0.5hr.Paid a toll fee of $1.25 which is the cost per car at the toll.
Step-by-step explanation: Choose all that apply A CH
©Simplify fully
8x²y
4x
:))
Answer:2xy
Step-by-step explanation:
Devon opened a savings account with an initial deposit of $2,750 The balance will eam 6. 5% interest compounded annually He does not deposit any
additional money or make any withdrawals from this account What will his account balance be after 8 years?
Answer:
22,000
Step-by-step explanation:
Find the volume of the cylinder.
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi.
Volume is the measure of 3 dimensional space. The volume of the considered cylinder whose radius is of 3 units, and height of 6 units is V = 54π cubic units.
What is the volume of a cylinder?Suppose that the radius of considered cylinder be 'r' units.
And let its height be 'h' units.
Then, its volume is given as:
[tex]V = \pi r^2 h \: \rm unit^3[/tex]
For this case, we're specified that:
Radius of the considered cylinder = r = 3 unitsThe height of the considered cylinder = h= 6 units.Thus, the volume of this cylinder is:
[tex]V = \pi r^2 h = \pi (3)^2 (6) = 54\pi\: \rm unit^3[/tex]
Thus, the volume of the considered cylinder whose radius is of 3 units, and height of 6 units is V = 54π cubic units.
Learn more about volume of cylinder here:
https://brainly.com/question/12763699
#SPJ1
WILL MARK BRAINLIST!!!!
Answer:
parallelogram
explanation:
way to know if a quadrilateral is a parallelogram is if opposite sides are actually.
Answer:
I believe the answer is probably parallelogram because it is undetified if it is equivalent on the sides or not. If the sides were equal it would be an isosceles trapezoid and if they weren't it would be a trapezoid. Since there is not enough info about the side legnths of the figure it would more than likely be a parallelogram.
Write expression that is equivalent to 1/4 a -3
a taxi costs 3.00 for every mile traveled, to enter a cab the is an initial charge of 4.50. write an equation where t represents the total cost of the cab ride and m represents the number of miles traveled
Answer:
[tex]t = 4.50 + 3.00m[/tex]
The surface area of a sphere is 200. 96 square centimeters. What is the approximate volume of the sphere? Use 3. 14 for pi
Answer:
200.96 (pi)= 631.33
200.96. (3.14)=631.01
Step-by-step explanation:
when you use (pi) the answer is 631.33
but if you use (3.14) the answer is 631.01
that's mean than the answer change
To rent a paint sprayer at the hardware store, there is a set fee and an hourly rate. The rental cost, c, can be determined using this equation when the paint sprayer is rented for h hours.
c = 35 + 6h
Which of these is the hourly rate?
I WILL MARK BRAINLIEST
To rent a paint sprayer at the hardware store, there is a set fee and an hourly rate. The rental cost, c, can be determined using this equation when the paint sprayer is rented for h hours.
c = 35 + 6h
Which of these is the hourly rate?
6
6h
35
35h
Answer:
6
Step-by-step explanation:
35 is the first fee, so you exclude that and so the answer would be 6
36.4+(-68.15) how do I compute this?
Answer:
-31.75
Step-by-step explanation:
[tex]36.4+(-68.15) \\ \\ = 36.40 - 68.15 \\ \\ = -31.75[/tex]
I will give BRAINILEST
Answer:
5/12
Step-by-step explanation:
10 out of 24 earned an A ...that is the probability
10/24 = 5/12
Earnings from a financial investment, usually stated as an annual percentage
rate are:
O risks.
expenses.
O dividends.
O returns.
Answer:
O returns.
Step-by-step explanation:
⚠️‼️ HELP PLEASE GIVING POINTS
Answer:
CBD = 63 degrees
Step-by-step explanation:
To find CBD, we must first find the value of x. To do so, we use this equation since CBD and ABC equal 96 degrees:
(6x+27) + (7x-9) = 96
13x+18 = 96
13x+18-18 = 96-18
13x = 78
13x/13 = 78/13
x = 6
Now that we know the value of x, we factor it in to CBD to find its true value:
6x+27
6(6)+27
36+27
= 63 degrees
To check if this answer is correct, we can also find the value of ABC and see if the two values equal 96:
7x-9
7(6)-9
42-9
= 33 degrees
63 + 33 = 96
The answer is correct. CBD = 63 degrees and ABC = 33 degrees.
Would a Linear, Quadratic, or Exponential model best fit?
Henry opened a bank accountwith $500. Then he deposited $100 every month.
A.Linear
B.Quadratic
C.Exponential
D.None of the Above
PLS HELP!!!
I WILL GIVE BRAINLIEST
Find x.
31°
40°
36°
It would be great if someone can help me, please. I have a huge bad grade in math and need help
use angle addition postulate:
---
1) angle (2x+10) and (x+5) are supplementary, meaning they add up to 180 degrees so
(2x+10)+(x+5)=180
3x+15=180
x=55
---
2) angle (x-30) and x are complementary, meaning they add up to 90 degrees
(x-30)+x=90
2x-30=90
x=60
PLS HELP ME I WILL GIVE 100
Answer:
13
Step-by-step explanation:
[tex] s = \sqrt{ {13}^{2} + {2}^{2} } = \sqrt{169 + 4} \sqrt{173} = 13.15[/tex]
[tex]t = \sqrt{ {13}^{2} + {2}^{2} + 2 {}^{2} } = \sqrt{177} = 13.30[/tex]
Pedro found a treasure map that said to take 12 steps north, then 8 steps south. Where is Steve in relationship to where he started?
The Pythagoras is the sum of the square of two sides is equal to the square of the longest side. Steve is 4 steps in the north.
What is a right-angle triangle?It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.
Pedro found a treasure map that said to take 12 steps north, then 8 steps south.
Steve in relationship to where he started will be
By Pythagoras theorem
[tex]\rm H^2 = P^2+B^2\\\\H^2 = (0.0)^2 + (12-8)^2\\\\H^2 = 4^2\\\\H \ = 4[/tex]
Steve is in 4 steps in the north.
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
What is an equation of the circle with center (-5,4) and a radius of 7?
(1) (x - 5)² + (y + 4)² = 14
(2) (x - 5)2 + (y + 4)² = 49
(3) (x + 5)² + (y — 4)² = 14
(4) (x + 5)² + (y - 4)² = 49
Answer:
Option D
Step-by-step explanation:
Given:
Center point: (-5, 4)Radius: 7Formula:
Equation of circle: (x - h)² + (y - k)² = r²
[Where (h, k) is the center point and "r" is the radius of the circle]
Substitute the coordinates of the center point in the formula:
Given center point: (-5, 4)
∴ x-coordinate of center point (h) = -5; y-coordinate of center point (k) = 4
⇒ (x - h)² + (y - k)² = r²⇒ [x - (-5)]² + [y - 4]² = r²Substitute the radius in the formula:
Given radius: 7
⇒ [x - (-5)]² + [y - 4]² = r²⇒ [x - (-5)]² + [y - 4]² = (7)²Simplify both sides of the equation:
⇒ [x + 5]² + [y - 4]² = (7)(7)⇒ [x + 5]² + [y - 4]² = 49 (Option D)Therefore, Option 4 is correct.