Answer:
The product of (x + 1)(x² + 2x + 2) is
x³ + 3x² + 2x + 4
Step-by-step explanation:
The product of (x + 1)(x² + 2x + 2) is Given in the steps below.
(x + 1)(x² + 2x + 2) = x(x² + 2x + 2) + x² + 2x + 2
= x³ + 2x² + 2 + x² + 2x + 2
= x³ + 3x² + 2x + 4
Quadrilateral DEFG has vertices at D(6,1), E(2,4), F(-5,4) and G(-1,1). What is the area of the quadrilateral?
Answer:
Area of the quadilateral = 35 square units.
Step-by-step explanation:
The coordinates of the quadilateral DEFG are given as
D(6,1), E(2,4), F(-5,4) and G(-1,1).
To obtain the area, we need the length of each of the quadilateral's sides.
The length of each side is the distance between the coordinates given.
The distance between two coordinates (x₁, y₁) and (x₂, y₂) is given as
d = √[(y₁ - y₂)² + (x₁ - x₂)²]
The lengths of the quadilateral's sides include DE, EF, FG and GD
DE = distance between D(6,1) and E(2,4)
DE = √[(1 - 4)² + (6 - 2)²]
DE = √(9 + 16) = 5 units
EF = distance between E(2,4) and F(-5,4)
EF = √[(4 - 4)² + (2 - -5)²]
EF = √(0 + 49) = 7 units
FG = distance between F(-5,4) and G(-1,1).
FG = √[(1 - 4)² + (-1 - -5)²]
FG = √(9 + 16) = 5 units
GD = distance between G(-1,1) and D(6,1)
DE = √[(1 - 1)² + (-1 - 6)²]
DE = √(0 + 49) = 7 units
The dimensions of the quadilateral show that it is a rectangle.
The area of a rectangle = (length) × (width)
Length = 7 units
Width = 5 units
Area of the quadilateral = 7 × 5 = 35 square units.
Hope this Helps!!!
Answer: actually that one might be wrong bc for the area I got 15 and for perimeter I got 16.32
And if you plot it, it makes a trapezoid and that’s not the formula for a trapezoid it’s
A= (base 1 + base 2 divided by 2) * height
P= a+b1+c+b2
Step-by-step explanation:
is -3 an expression
Answer:
yeah it is an expression
Explanation:
An expression may refer to any of the following:
A combination of letters, numbers, or symbols used to represent a value of a variable. ..
50pts
Kadesha says that the triangles represent a translation. On a coordinate plane, triangle A B C has points (1, negative 1), (1, negative 4), (4, negative 4). Triangle A prime B prime C prime has points (1, 5), (1, 1), and (4, 1). Which explains whether Kadesha is correct?
A) Kadesha is correct because triangle ABC is the pre-image and triangle A prime B prime C prime is the image.
B) Kadesha is correct because each point in triangle ABC moves five units up.
C) Kadesha is not correct because the number of units between points A and B is different than those between points A primeand B prime.
D) Kadesha is not correct because a translation is a horizontal movement.
Answer: Option C is most Appropriate.
C) Kadesha is not correct because the number of units between points A and B is different than those between points A primeand B prime.
Step-by-step explanation:
Coordinates of vertices of ΔABC are =A(1,-1), B(1,-4),C(4,-4)
Coordinates of vertices of ΔA'B'C' are =A'(1,5), B'(1,1),C(4,1)
Suppose, Preimage =ΔABC
Image =ΔA'B'C'
If you will find distance between two vertices of Both the triangles or length of sides of triangles
Kadesha is not correct because the number of units between points A and B is different than those between points A prime and B prime. Option (C) is the correct answer.
What is a graph?"A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The points on the graph often represent the relationship between two or more things".
For the given situation,
The triangle ABC has points A(1,-1), B(1,-4), C(4,-4)
The triangle A'B'C' has points A'(1,5), B'(1,1), C'(4,1)
Plot these two triangles in the graph as shown below.
The graph shows the relation between the triangle ABC and A'B'C'.
Both the triangles are separated by different units and are not images of one another.
Hence we can conclude that Kadesha is not correct because the number of units between points A and B is different than those between points A prime and B prime. Option (C) is the correct answer.
Learn more about graphs here
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Joanne wants to put wallpaper in her daughter's room. Each wall measure 16.8 feet long by 12.9 feet wide. What is the area of one wall in her daughter's bedroom?
Is 4.01 greater,less,or equal then 4.9
Answer:
Less
Step-by-step explanation:
Lila has gained a lot of weight recently she works out and watches her intake but she's still gaining weight when she visited the doctor she told her that she had a problem with one of her endocrine glands which gland would most likely have a tissue with maintaining the breakdown of foods
Answer:
The Pancreatic gland is the gland responsible for maintaining the breakdown of foods in the body.
Step-by-step explanation:
The pancreatic gland can function as an endocrine gland, which is responsible for the secretion of glucagon and insulin. These two enzymes are responsible for the maintaining of the glucose levels of the body.
The insulin in Lila's body is meant to reduce her blood sugar, by helping the cells to be able to absorb the glucose, and use it as energy to drive her exercise and her daily routines. However, if there is a problem with the pancreas, the glucose will just be in the blood stream, without getting to the cells and Lila will keep on feeling hungry all the time. This is probably why she will keep on gaining weight.
Answer:
A. The thyroid
Step-by-step explanation:
Searched it up...
Solve the system of equations by the substitution method.
x+y=4
y=-3x
Answer:
X= -2 Y=6
Step-by-step explanation:
Answer:
x= -2 y=6
Step-by-step explanation:
-2+6=4
6=-3 x -2
What is the value of n? 20 points!
Answer:
5 only
Step-by-step explanation:
its the absolute value
On Friday,2,364 cars parked in the garage at the mall. On Sunday 2,455 more cars parked In the garage than on Friday. How many cars parked in the garage during the two days?
Answer:
7183 cars
Step-by-step explanation:
On Friday, 2364 cars parked in the garage.
On Sunday, 2,455 more cars parked In the garage than on Friday.
This means that the number of cars parked on Sunday is 2455 plus the number of cars parked on Friday, that is:
2455 + 2364 = 4819 cars
Therefore, the number of cars parked in the garage in the two days is:
4819 + 2364 = 7183 cars
7183 cars were parked during the two days.
The local recycling center sends a truck to the school once a month to collect the paper that was recycled. Each month, the truck picks up 642.3 pounds of paper. How much would the truck pick up after 3 months? __
Answer: 1,926.9
Explain: If you ever come across a question that asks you how much a number would be after 2, 3, 4, 5, and so on. All you have to do is multiply that first number with the second.
Example: if the gardener collects 20 carrots a week. How many carrots did the gardener collect in a span of 5 weeks?
Simply just multiply 20 x 5 = 100.
these 15 colored pencils make up 20% of jordon's colored pencil collection.how many colored pencils does jordon have in his collections
Answer:
75 coloured pencils
Step-by-step explanation:
Let's say Jordon has x total pencils.
We know that 20% of these x pencils is 15, so we have:
20% * x = 15
Remember that % is just "out of 100", so 20% = 20/100 = 0.20. Then:
0.20x = 15
x = 15 / 0.20 = 75
Jordon has 75 coloured pencils.
Answer:
75 pencils
Step-by-step explanation:
Let the total no. of pencils be T
20% of T = 15
20/100 × T = 15
T = 15 × 100/20
T = 15 × 5
T = 75
I need help with this
Answer:
40 feet by 30 feet
Step-by-step explanation:
40 x 30 = 1200
40 is the length of the wall
30 is the height of the wall and is 3/4 of 40
what is 7/4 - (-1/4)
Answer:
2
Step-by-step explanation:
7/4 - (-1/4)
Subtracting a negative is adding
7/4 + 1/4
8/4
Simplifying
2
Brennan measured a boarding school and made a scale drawing. A building at the school is 21 centimeters long in the drawing. The actual building is 147 meters long. What is the scale of the drawing?
Answer:
Check the explanation
Step-by-step explanation:
1 centimetre is = 0.01 meter
therefore the scale in Brennan drawing is 1 centimetre is used to represent 7 metres
Answer:
1 cm:7 meters
Step-by-step explanation:
The scale drawing shows the length in the drawing, then a colon and the actual lenght of the object. The actual building is 147 meters long and the drawing is 21 centimeters long. From this, we have:
21 cm:147 meters
As both numbers can be divided by 21, you can simplify and you would have that the scale of the drawing is:
1 cm:7 meters
FP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
fav singer??
I like XXXTentacion and Trippie Redd
Answer:
Samee
Step-by-step explanation:
Answer:
TIAGZ
and Billie Eilish
DABABY
Step-by-step explanation:
Which is closest to the area of the shaded region in the figure, in
square units?
Answer:
Where is the picture?
Step-by-step explanation:
Find The area of the parallelogram
Answer:
209 cm^2
Step-by-step explanation:
The area of the parallelogram is
A = bh
A = 19 * 11
A =209
Suppose the board of directors for Cosmic Coffee wants to know the price range for the lowest 40% of drink sales. Find the z-score associated with the upper boundary of of this price range.
Answer:
The z-score associated with the upper boundary of of this price range is -0.25.
Step-by-step explanation:
It is provided that the board of directors for Cosmic Coffee wants to know the price range for the lowest 40% of drink sales.
If X represents the price range of drink sales, then
P (X < x) = 0.40
Consider that X follows a Normal distribution.
To compute the probability of a normally distributed random variable we need to first convert the raw score to the z-scores.
The formula to z-score is:
[tex]z=\frac{X-\mu}{\sigma}[/tex]
Then,
P (X < x) = 0.40
⇒ P (Z < z) = 0.40
The value of z for this probability is:
z = -0.25
*Use a z-table.
Thus, the z-score associated with the upper boundary of of this price range is -0.25.
Answer:
-0.25
Step-by-step explanation:
correct on plato
a. Two local supermarkets sell watermelons grown at McDowell's
farm. But Biggy Market sells their watermelons for $3.99 each,
regardless of size, whereas Harmless Trail Market sells their
watermelons for $0.19 per pound. For what weight will a
watermelon at Harmless Trail cost the same as any watermelon at
Biggy? If the largest watermelon grown at McDowell's farm
weighs 18 pounds, at which place should you buy your
watermelons?
Answer:
For the watermelon at Harmless to cost the same as any watermelon at Biggy, the watermelon needs to be 21 pounds.
You should buy your watermelon at Harmless.
Step-by-step explanation:
1. So in order to figure out the number of pounds, you need to divide 3.99 by 0.19 which should give u 21 pounds.
2. So in order to figure out where u should buy the watermelon from, u have to do 18 pounds times $0.19 which should give u $3.42 at Harmless while at Biggy it would cost $3.99
what is the greatest common factor of 32 ab cubed and 40 a squared
Answer:
GCF 32 and 40
Step-by-step explanation:
GCF of 40 and 32 : 40 mod 32 = 8 , GCF of 32 and 8 : 32 mod 8 = 0
Elia rode her bicycle from her house to the beach at a constant speed of 18 kilometres per hour and then rode from the beach to the park at a constant speed of 15 kilometres per hour. The total duration of the rides was 1 hour and the distances she rode in each direction are equal.
Let b be the number of hours it took Elia to ride from her house to the beach, and p the number of hours it took her to ride from the beach to the park.
Which system of equations represents this situation?
Answer:
I'm sorry but I don't see any equations
Step-by-step explanation:
Factor the expression
36x + 27 using the GCF.
Answer:
9(4x+3) :)
Step-by-step explanation:
Answer:
Step-by-step explanation:
the first step in factorising is to look for any common factors.
27
and
36
are both multiples of
3
and
9
.
We use
9
because it is the highest common factor:
Divide
9
out of each term:
27+36x=9(3+4x)
The reverse process would be to use the distributive law to multiply each term in the bracket by
9
.
This will give us the original expression:
9(3+4x)=27+36x
In which tables does y vary directly with x? Check all that apply
Answer:
first three
Step-by-step explanation:
go directly to the x- value ed2020
first second and third
!:)
A cone with height of 6 feet and volume of 86 feet cubed.
Answer the questions to find the base area of the cone.
Which equation substitutes the given values into the formula for the corresponding variables
Answer:
The formula is 86=1/3B (6)
The base area is 43.00 square feet
Step-by-step explanation:
V is 86 so that goes in spot, hv to divide 1/3 and hv to find B so last spot is putting in height which is 6. That makes equation
Solving equation
86=(1/3) B(6)
Divide 6 by 1/3
(3/1) 1/3 = 6 (3/1)
86 = 2pi *
43.00 square feet
Im not sure if the solving part of the equation is completely correct, but answers for both are correct. C;
Answer:
both of the answers are C
Step-by-step explanation:
What is (2x^2+2x-6) times (x-4)?
Answer:
2x^3-6x^2-14x+24
Step-by-step explanation:
A company's stock began the day at $25.28 per share. That price drops by $1.16 each hour. A. What is the price per share after 5 hours? B. What will it be after 23 hours if this rate continues? C. Explain what the signs of the answers mean in this context.
Answer: A.) $19.48
B.) -$1.40
C.) The sign in B, the negative, means that if the price of the share were to continue dropping, then it will become negative.
Step-by-step explanation:
A. The price per share after 5 hours will be $19.48.
B. It will be $19.48 per share after 23 hours if this rate continues.
C. The sign indicates the company is at a loss.
What is the rate of change?It is defined as the change in values of a dependent variable with respect to the independent variables.
It is given that, A company's stock began the day at $25.28 per share. That price drops by $1.16 each hour.
1 hour = $1.16
5 hour =5 × $1.16
5 hours =$ 5.8 per share
The price drops per share after 5 hours are,
=$25.28-$ 5.8
=$19.48
B)
If the price drops by $1.16 each hour. The price after 23 hours will be,
1 hour = $1.16
23 hour =23 × $1.16
23 hours =$ 26.68 per share
=$25.28 -$ 26.68
=-$1.40 per share
Thus, the price per share after 5 hours will be $19.48, It will be $19.48 per share after 23 hours if this rate continues and the sign indicates the company is at a loss.
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Which is the most efficient first step to solve for x in the equation 3.7 x minus 18 = negative 4.3 x minus 3
First, you need to isolate the variable so you can solve the equation. You can move the number to the other side of the equal sign as long as you switch the sign (-/+) So your equation will look like this :
3.7x+4.3x-18=-3
Next, take the 18 and switch is so it will be with the 3:
3.7x+4.3x=-3+18
Now that like terms (variables with variables and regular numbers with regular numbers) you can solve:
8x=15
x=15/8
Hope this helps, and sorry if I did the work wrong but the directions are 100% right!
Answer:
c
Step-by-step explanation:
First, you need to isolate the variable so you can solve the equation. You can move the number to the other side of the equal sign as long as you switch the sign (-/+) So your equation will look like this :
3.7x+4.3x-18=-3
Next, take the 18 and switch is so it will be with the 3:
3.7x+4.3x=-3+18
Now that like terms (variables with variables and regular numbers with regular numbers) you can solve:
8x=15
x=15/8
Hope this helps, and sorry if I did the work wrong but the directions are 100% right! :)
Find the square root of 200 up to two decimals
Answer:
Erm
Step-by-step explanation:
14.14
Can someone please help me? I keep losing points...
CORRECT ANSWERS ONLY PLEASE!!!!
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Round your answer to the nearest cent.
Answer:
$105,857.60
Step-by-step explanation:
i = prt
i = ($66,161)(.15)(4)
i = $39,696.60
$39,696.60 + $66,161
$105,857.60
Answer:
$105857.6
Step-by-step explanation:
Using the given formula :
I = P × R × T
I = 66161 × 15/100 × 4
I = $39696.6
He have = 39696.6 + 66161 = $105857.6
Please answer multiple choice
Answer:
A. 54.09
Step-by-step explanation:
cos (angle) = Adjacent/Hypotenuse
cos (75) = 14/x
x= 14/cos (75)
x=54.09
Answer:
its A
Step-by-step explanation:
