The length of the rectangle is x + 9 whose width is gives as 2x.
To find the length of the rectangle, we need to express it in terms of the width.
Given:
width of the rectangle is 2x.
The formula for the area of a rectangle is
A = length × width.
As, the polynomial function for the area:
[tex]A(x) = 2x^2 + 18x[/tex]
So, set up the equation:
[tex]2x^2 + 18x =[/tex] [tex]{\text} width x length[/tex]
Substituting the given width = 2x in above equation gives
[tex]2x^2 + 18x = 2x * length[/tex]
Dividing both sides of the equation by 2x:
x + 9 = length
Therefore, the length of the rectangle is x + 9.
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WHY DOESN'T ANYBODY HELP ME!!!!! PLEASE ANSWER, and YOU WILL GET YOUR BRAINLIEST!!!
(Sat Prep) Find the value of x)
Answer:
1. x = 120°
2. x = 115°
Step-by-step explanation:
For the first question, you can see that the two lines are parallel. This means you can use any of the alternate interior angles, alternate exterior angles, corresponding angles, consecutive interior angles, and consecutive exterior angles.
You can see that the transversal cutting the two parallel lines make a 40° angle, and through alternate interior angles, the angle next to x is also 40°.
Because a straight line is 180°, the three angles that make up the straight line will add up to 180°. So:
x + 20° + 40° = 180°
x + 60° = 180°
x = 120°
For the second question, extend the line (the left one marked with 1 arrow) to make a smaller triangle attached to the parallelogram.
Because this is a parallelogram, opposite angles are congruent. So the opposite angle of x is also x.
Straight lines are 180°, so 180 - x will be what the angle measure is. If this is too confusing, refer to the image below.
Those two angles, 50° and (180 - x)°, will add up to be the exterior angle, which is also x.
So:
50 + 180 - x = x
230 = 2x
115 = x
x = 115
Find the value of x.
Answer:
x = 12
Step-by-step explanation:
Using the formula (which is a geometric mean):
a y
---- = -----
x a
Where a is the altitude (6), x is a projection (x), and y is the other projection (3):
6 3
---- = -----
x 6
Cross multiply:
36 = 3x
12 = x
x = 12
I need help with this asap!
Answer:
x=-40B
Step-by-step explanation:
What is hydropower? And how does it work? (2-3 sentences Is good enough) thx :3
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST:DDD!!
Answer:
Hydropower is a form of renewable energy. Water will spin a turbine, which will then generate electricity.
Step-by-step explanation:
Hydropower is a form of renewable energy. Water will spin a turbine, which will then generate electricity.
A guy wire (a tensioned cable designed to add stability to a free-standing structure) is attached to a telephone pole whose height is 18 ft. If the wire is attached to the ground at a point 24 ft away from the base of the pole, what is the slope of the wire?
tysm :P
Elizabeth earned 3 times as much as Rebeca selling Girl Scout cookies. If Elizabeth earned $426, how much did Rebeca earn?
Answer:
$142
Step-by-step explanation:
E = 426
E=3R
426 = 3R
R = 142
Myrtle is having a birthday party and is buying pizza for everyone. She buys 9 pizzas for $40.50 all together what is the unit rate for the pizza in pizza
c) Write down the value of
-4/3
8
Answer:
10.6
Step-by-step explanation:
dividing -4 by 3 and multiplying 8 to it.
Georgia works at the frozen yogurt shop. She is able to scoop frozen yogurt into perfectly round scoops tha
have a radius of 6cm. If Mary buys a single scoop of frozen yogurt in a cup. How much yogurt Will Georgia
Mary?
senere
Answer:
My answers:
1. p = 0.20 × 100 × k
4. y = 1.25x + 3; $8.00
Step-by-step explanation:
your welcome
What property of addition is shown?
k+0=k
56 is 28% of an unknown number is (x)
Answer:
Change 28% to a decimal by moving the decimal point 2 places to the left:
28% = 0.28
Write the question as an equation to get:
56 = 0.28x
Now to solve for x, divide both sides by 0.28:
x = 56 / 0.28
x = 200
The unknown number is 200.
Step-by-step explanation:
Step-by-step explanation:
28% of an unknown number is (x)=56
28/100 of x=56
x=56×100/28=200help pls dont rip me off for points
Answer:
A I think.
Step-by-step explanation:
Answer:
The answer is A
Step-by-step explanation:
U have to do the math on each option choices to see what they got in the question
mid-point of (-2,-4) and (4,6)?
(1,1)
Hope that helps :)
Please answer it it’s 2:40pm and it’s due at 4:00pm..
1. Which of the following are sets? Justify your answer.
(a) The collection of all the days in a week beginning with the letter "T".
(b) The collection of all difficult questions in the chapther on sets.
(c) The collection of girls in your class.
(d) The collection of all vers in India.
(e) The collection of all active teachers in the school
(f) The collection of all integers more than 3.
(g) The collection of all beautiful lower in the park. the chapter on sets.
Answer: B,C,D,E,G
Step-by-step explanation:
A yard is equal in length to three feet. The function f(x) takes a measurement in yards (as input) and returns a measurement in feet (as output).What number will the function return if the input is 15.4?
Answer:
it should be 4.5
Step-by-step explanation:
Answer:
0.428 yd
Step-by-step explanation:
x/1 = 15.4/3
36x = 15.4
x=0.428 yd
Write an equivalent expression. (X+8)+5y
Answer:
the answer is x + 5y + 8.
Here are the first four terms of a sequence.
5 9 13 17
Write an expression for the nth term of this sequence.
Answer:
4n + 1
Step-by-step explanation: The numbers are rising by 4, so this gives us 4n. Term number 1: 4n = 4, but the first number in the sequence is 5 so we have to add 1.
Term number 2: 4n = 8, but the second number in the sequence is 9 so, again, we have to add 1.
MODELING REAL LIFE The table shows the amount y (in fluid Ounces) of carpet cleaner in a tank after x minutes of cleaning.
X
у
5 108
10 88
15 68
a. Write an equation that represents the amount of cleaner in the tank after x minutes.
y = - Ix + 128
b. How much cleaner is in the tank when the cleaning begins?
There are
fluid Ounces of cleaner in the tank.
C. After how many minutes is the tank empty?
The tank will be empty in 32 minutes.
What is the point-slope form of a line?If m is the slope of the line that passes through the point (x₁, y₁), then the equation of the line is y - y₁ = m (x - x₁).
(a)
The table of values is given.
Rewrite the table of values as ordered pairs:
(5,108), (10,88), (15,68)
Since the difference between any two consecutive y values and the difference between any two consecutive x values is constant, the data shows a linear relation.
The slope of the line that passes through (5,108) and (10,88) is:
m = (88-108)/(10-5)
m = -4
The equation of the line with slope m = -4 and passes through (5,108) is:
y - 108 = -4(x - 5)
y = -4x + 20 + 108
y = -4x + 128 (1)
(b)
Substitute x = 0into equation (1):
y = - 4(0) + 128
y = 128
The tank is 128 ounces cleaner at the beginning.
(c)
Substitute y = 0 into equation (1):
0 = -4x + 128
4x = 128
x = 32
Therefore, the tank will be empty in 32 minutes.
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What is the slope of the line that passes through the points (-19, -11) and (-20, 14)?
Answer:
25/-1
Step-by-step explanation:
slope equation-> y2-y1/x2-x1
14 - (-11) = 25
-------------
-20 - (-19) = -1
Solve for t.
-18.18 = 6t
Question 1 options:
t= -24.18
t= -3.03
t= 3.03
t= -13.18
Answer:
-3.03
Step-by-step explanation:
divide -18.18 by 6
Answer:
t= -3.03
Step-by-step explanation:
In order to solve for t, we need to isolate it. We would do this by dividing both sides by 6:
[tex]t= -18.18/6[/tex]
Therefore t= -3.03
HELP NOW PLEASE~!!!!!
What is the surface area of the sphere below? 11.3 A. 324 units2 324 units2 C. 36 units2 D. Cannot be determined
Answer:
A=4πr2
Step-by-step explanation:
ABC is reflected over the X axis. What are the vertices of A’B’C’?
Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
please be kind enough to help me with this question in my geometry test thank you i’m very grateful
Answer:
yes
Step-by-step explanation:
clara bought a necklace at the jewelry store the necklace cost 5$ of clara spent 12$ in total how much did the bracelet cost?
Answer:
7
Step-by-step explanation:
they asked how much the braclet cost, but they stated it in the question that the neckelss cost 5 dollers anr she has 12. so in you subtract 5 from 12 you get 7.
i wanted to know the answer to this question so bad but i didnt let me ..so can somebody help me and i will give you the brainlist
Answer:
B.
Step-by-step explanation:
Guys help plz I’m giving Brainliest.
Answer:
$21.60
Step-by-step explanation:
Answer:
The hat originally without the discount would be 19 or 20 dollars 20.00
Step-by-step explanation:
PLEASE HELPP!! it’s due in an hour!!
Answer:
12x I think
Step-by-step explanation:
this is very confusing.
2x² + 2x - 4 = 2x ( x + 1 - 2 )
4x + 2x - 4
8x-4
4x = 2x ( x + 1 - 2)
8x + 2 - 2
8x + 4x
= 12x. I think 12x is the correct factor.
Complete the equation.
(4x)−2(4x)3(4x)9=(4x)
Given:
Consider the given equation is
[tex](4x)^{-2}(4x)^3(4x)^9=(4x)^?[/tex]
To find:
The missing value in the given equation and complete the equation.
Solution:
We have,
[tex](4x)^{-2}(4x)^3(4x)^9=(4x)^?[/tex]
Taking LHS, we get
[tex]LHS=(4x)^{-2}(4x)^3(4x)^9[/tex]
[tex]LHS=(4x)^{-2+3+9}[/tex] [tex][\because a^ma^n=a^{m+n}][/tex]
[tex]LHS=(4x)^{10}[/tex]
and,
[tex]RHS=(4x)^?[/tex]
Let the missing value be k.
For each equation LHS=RHS.
[tex](4x)^{10}=(4x)^{k}[/tex]
[tex]10=k[/tex]
Therefore, the missing value is 10 and the complete equation is [tex](4x)^{-2}(4x)^3(4x)^9=(4x)^{10}[/tex].