Please include the steps that took you to get your answer. I am very confused on what to do with the 1/2.
Answers
First let's review how to expand this!
(ax+b)^2=a^2*x^2+2abx+a^2
In this case
(2x^2+1/2)^2=2^2*x^2+2*1/2*2x+(1/2)^2
=4x^2+2x+1/4
Done!
Related Questions
A new car is purchased for 20700 dollars. The value of the car depreciates at 11% per year. What will the value of the car be, to the nearest cent, after 11 years?
Answers
Answer:
The answer for that is 5744.61
Find the degree measure of the indicated angle.
?
43°
75°
Answers
Find two numbers whose sum is 8 and whose product is 17
Answers
Answer:
Step-by-step explanation:
x+y = 8
y = 8-x
xy = 17
x(8-x) = 17
8x - x² = 17
x² - 8x + 17 = 0
Quadratic formula
x = [8 ± √(8² – 4·1·17)] / [2·1]
= [8 ± √(-4)] / 2
= [8 ± 2i] /2
= 4±i
x = 4+i
y = 4-i
A quadratic equation is written in the form of ax²+bx+c. The two numbers whose sum is 8 and whose product is 17 are (4+i) and (4-i).
What is a quadratic equation?A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.
Let the first number be 'a' and the second number be 'b'. Therefore, the sum of the two numbers is,
a+b=8
The product of the two numbers is,
ab=17
b=17/a
now, the equation can be written as,
a+b=8
a+(17/a)=8
a² + 17 = 8a
a²-8a+17=0
a = 4±i
Hence, the two numbers whose sum is 8 and whose product is 17 are (4+i) and (4-i).
Learn more about Quadratic Equations:
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Type the missing number that makes these fractions equal:
6
4.
8
Submit
Answers
Math help!! Answers to 7,8,9?
Answers
Answer:
7 is D which is 18.4...
8 is C: 42
9: C: 8.9
Step-by-step explanation:
hope it helps...
Use basic facts and place value to find the quotient.
450 • 9 =
Your answer
Answers
A person is walking at a rate of 9 feet every 4 seconds.
(a) Find their speed, i.e. the rate the distance
Answers
Answer:
v = 2.25 ft/s
Step-by-step explanation:
Given that,
A person is walking at a rate of 9 feet every 4 seconds.
We need to find their speed. We know that, the speed of total distance divided by time taken. So,
[tex]v=\dfrac{d}{t}\\\\v=\dfrac{9\ ft}{4\ s}\\\\v=2.25\ ft/s[/tex]
So, the speed is 2.25 ft/s.
25 POINTS!!!
What shape can be created by the given net?
triangular prism
square pyramid
cube
rectangular prism
Answers
Answer:
It's a rectangular prism :)
Step-by-step explanation:
Well I automatically know this because,
it can't be a triangle since the left and right corners aren't angled with 3 sides like a triangle
It can't be a square pyramid because that would mean it is the shape of a triangle when folded with a square base
It can't be a cube because cubes have sides equal in length, while this shape when folded is long in length and short in width
So the answer is a rectangular prism! Rectangles have long lengths and short widths and if this shape is folded from 2D to 3D that makes it a prism.
Hope this helps! Have a meowgical day :)))
Rectangular prism shape can be created by the given net.
What is triangular prism?A triangular prism is a 3D polyhedron with three rectangular faces and two triangular faces. The 2 triangular faces are congruent to each other, and the 3 lateral faces which are in the shape of rectangles are also congruent to each other. Thus, a triangular prism has 5 faces, 9 edges, and 6 vertices.
What is square pyramid?A square pyramid is a three-dimensional geometric shape that has a square base and four triangular sides that are joined at a vertex. It is a polyhedron (pentahedron) with five faces. A square pyramid consists of a square base and four triangles connected to a vertex. Its base is a square and the side faces are triangles with a common vertex.
What is cube?A cube is a 3D solid object with six square faces and all the sides of a cube are of the same length. It is also known as a regular hexahedron and is one of the five platonic solids. The shape consists of six square faces, eight vertices, and twelve edges. The length, breadth, and height are of the same measurement in a cube since the 3D figure is a square that has all sides of the same length
What is a rectangular prism?A rectangular prism is a prism whose bases (the top face and the bottom face) are also rectangles. It has 6 faces in all, out of which there are 3 pairs of identical opposite faces, i.e., all the opposite faces are identical in a rectangular prism. It has three dimensions, length, width, and height.
A rectangular prism has 6 faces, 12 edges (sides) and 8 vertices (corners). In the 12 edges, 3 edges intersect to form right angles at each vertex.
According to the question
We can observe that the net consists of 6 faces, out of which there are 3 pairs of identical opposite faces.
A rectangular prism is a prism whose bases (the top face and the bottom face) are also rectangles. It has 6 faces in all, out of which there are 3 pairs of identical opposite faces, i.e., all the opposite faces are identical in a rectangular prism. It has three dimensions, length, width, and height.
We can say that the given net is of rectangular prism.
Option D is correct.
Thus, rectangular prism shape can be created by the given net.
Find out more information about rectangular prism here
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Set up a proportion and use it to solve for x.
14
х
6
9
Answers
Answer:
x=21
Step-by-step explanation:
x/x+14=9/15
15x=9x+126
6x=126
x=21
Crusaders attacked the city of Zara to rid it of Muslim influence tr
ue or false
Answers
Answer:
true
Step-by-step explanation:
In a right triangle, if the hypotenuse is equal to 16 feet and the side adjacent to ∠θ is equal to 5 feet, what is the approximate measurement of ∠θ?
A. 18°
B. 75°
C. 15°
D. 72°
Answers
Answer:
D. 72°
Step-by-step explanation:
Given
Adjacent = 5feet
Hypotenuse = 16feet
Using SOH CAH TOA
cos theta = adj/hyp
cos theta = 5/16
cos theta = 0.3125
theta = arccos 0.3125
theta = 71.7
theta = 72 degrees
Por favor si alguien sabe pliss
(escriba si o no)
Answers
Answer:
Respuesta: SI
Step-by-step explanation:
Números Racionales
Un número pertenece al conjunto de los números racionales (Q) si se puede expresar como una fracción de denominador diferente de cero, es decir, x es racional si:
[tex]\displaystyle x=\frac{a}{b}[/tex]
Donde a y b son número enteros y además b es diferente de cero
el número
[tex]\displaystyle -\frac{3}{5}[/tex]
Tiene un numerador igual a 3 y un denominador igual a 5 (independientemente del signo), por lo tanto cumple con las dos condicines y es efectivamente un número racional.
Respuesta: SI
The ratio of boys to girls in a school is 5:6. Find the total number of children in the school if there are 6000 girls. Pls help
Answers
Answer:
11,000
Step-by-step explanation:
There are 5000 boys and 6000 girls.
5000 + 6000 = 11,000
Answer:
11,000
Step-by-step explanation:
Boys is 6000 so 6000+5000=11000
The Anderson's are driving 2,563 miles to the beach. They plan to drive 325 miles a day. How many days will it take the Anderson's to drive to the beach?
Answers
Answer:
Around 8 days
Step-by-step explanation:
Divide 325 from 2,563
2563 / 325 = 7.888
Round that number
if x+y=z which property is used?
Answers
Answer:
addition
Step-by-step explanation:
Answer:
Addition??
Yeah maybe in what terms?
Answer the attachment please
And subscribe to Offxcial Prxmiise
X=8 and y=3
Answers
Answer:
73
Step-by-step explanation:
8^2+3^2=64+9=73
Runner A had a minor accident and is now 0.25 miles behind Runner B.
Runner B is currently has a speed of 7 miles per hour.
Runner A attempts to catch up runner B by running 8.5 miles per hour.
How long will it take Runner A to catch up to Runner B?
Answers
Answer:
It will take one sixth of a hour, that is, 10 minutes for Runner A to catch up to Runner B.
Step-by-step explanation:
Runner A is 0.25 miles behind Runner B.
Runner B has a speed of 7mph, while Runner A has a speed of 8.5 mph.
This means that each hour, Runner A catches up at a speed of 8.5 - 7 = 1.5 mph.
How long will it take Runner A to catch up to Runner B?
1 hour - 1.5 miles
x hours - 0.25 miles
[tex]1.5x = 0.25[/tex]
[tex]x = \frac{0.25}{1.5}[/tex]
[tex]x = \frac{1}{6}[/tex]
It will take one sixth of a hour, that is, 10 minutes for Runner A to catch up to Runner B.
Which of the following statements are not true about parallelograms?
Select all that apply.
1. The area of a parallelogram is half of the product of its length and width.
2. The angles formed by the diagonals of a parallelogram are complementary to each
other.
3. The diagonals of a parallelogram bisect each other.
4. A diagonal divides a parallelogram into two congruent triangles.
5. Two consecutive angles of a parallelogram are supplementary.
Answers
9514 1404 393
Answer:
1, 2
Step-by-step explanation:
1. The area of a parallelogram is the product of length and width. The given statement is FALSE.
2. The angles formed by the diagonals are linear pairs, so supplementary. The given statement is FALSE.
3. TRUE
4. TRUE
5. TRUE
__
Statements 1 and 2 are not true.
5
A bag contains 15 red marbles, 13 blue marbles,
and the rest are yellow marbles. There are a
total of 50 marbles in the bag. What is the
probability of choosing a yellow marble?
Answers
Answer:
red +blue marbles :- 15 +13=28 marbles.
yellow marbles:- 50+28=22 marbles.
probability of yellow marble :- 22/50 i.e 11/25
Select the ordered pairs that are solutions to the system of inequalities {y≤-2x+6x−y<6.
Select all that apply.
Answers
Answer:
(1.5, 0)
Step-by-step explanation:
Given the system of inequalities y≤-2x+6x−y<6.
separating the inequality
y≤-2x+6x−y
Get the y intercept. This occurs at x = 0
y≤-2(0)+6(0)−y
y = - y
y+y = 0
2y = 0
y = 0
Get the x intercept. This occurs at y = 0
-2x+6x−y<6
-2x+6x−0<6
4x < 6
x < 6/4
x < 3/2
x < 1.5
Hence the ordered pair is (1.5, 0)
Identify a secant that contains a diameter of M
Answers
Explanation:
A secant is a line that touches two points on the circles edge. Unlike a chord, a secant will go beyond the circles edge. By that definition, AD and AM are eliminated. The secant must also go through the point M since that is the midpoint. The diameter always goes through the midpoint. AB doesn’t go through M. However, AC does successfully meet all the requirements. It has two points on the circle, the line goes farther than the circles edge, and the line passes through the point M.
Answer:
A. AC
Step-by-step explanation:
1. Solve the formula h = 42t + 1/2at^2 for a
2. Solve the formula P = 2L + 2W for L.
Answers
Answer:
1) a = (2h-84t) / t²
2) L = (P-2W) / 2
Step-by-step explanation:
Formula #1:
step 1: subtract 42t
1/2at² = h - 42t
step 2: multiply by 2
at² = 2h - 84t
step 3: divide by t²
a = (2h - 84t) / t²
Formula #2:
step 1: subtract 2W
P - 2W = 2L
step 2: divide by 2
L = (P-2W) / 2
Write the function whose graph is the graph of y=√x, but is shifted to the left 7 units .
Answers
Answer:2x + 7 = 15
Step-by-step explanation:
2x + 7 = 15
is 0.3 greater than 0.38
Answers
Answer:
No
Step-by-step explanation:
Because 0.38 is 0.08 more than 0.3.
Sylvia set a goal of saving at least $200 in a savings account.
She currently has $60 in the account. If she invests $5 of her weekly allowance per
week, how many weeks will it take her to reach her goal?
Define the variable.
Answers
Answer:
twenty eight more weeks till$200
PLEASE HELP !!! ILL GIVE BRAINLIEST!! *DONT SKIP* ILL GIVE 40 POINTS.
Answers
Answer:
5.5
Step-by-step explanation:
Explain how you could find the difference of 1 and 0.1978.
Answers
Answer:
0.8022
Step-by-step explanation:
difference=subtraction
so we take 1 - 0.1978 and it equals 0.8022
Guys Please help
Tyra has 1223 cups of sugar. If r is the amount of sugar called for in one batch of cookies,
the expression 1223 ÷ r can be used to find how many batches Tyra can make with the sugar she has
If r is 23 cup, how many batches of cookies can Tyra bake
Answers
Answer:
53 cookies
Step-by-step explanation:
you divide 1223 and 23, the answer should then be about 53
.3x+.65 x 175=.50(x+175)
Can you please explain this step by step? Kinda confused about how to figure it out.
Answers
Answer:
[tex]x=131.25[/tex]
Step-by-step explanation:
[tex]0.3x+0.65*175=0.5(x+175)[/tex]
[tex]0.3x+113.75=0.5x+87.5[/tex] (Simplify both sides of the equation by multiplying on the LHS and distributing on the RHS)
[tex]0.3x+113.75-0.5x=0.5x+87.5-0.5x[/tex] (Subtract [tex]0.5x[/tex] from both sides of the equation to get all [tex]x[/tex] terms to one side)
[tex]-0.2x+113.75=87.5[/tex] (Simplify)
[tex]-0.2x+113.75-113.75=87.5-113.75[/tex] (Subtract [tex]113.75[/tex] from both sides of the equation to isolate [tex]x[/tex])
[tex]-0.2x=-26.25[/tex] (Simplify)
[tex]\frac{-0.2x}{-0.2} =\frac{-26.25}{-0.2}[/tex] (Divide both sides of the equation by [tex]-0.2[/tex] to get rid of [tex]x[/tex]'s coefficient)
[tex]x=131.25[/tex] (Simplify)
Hope this helps!
Alberto left the airport and traveled toward the capital. One hour later Danielle left traveling 10 km/h faster in an effort to catch up to him. After five hours Danielle finally caught up. What was Alberto's average speed?
Answers
Answer:
Step-by-step explanation:
Alberto traveled v km/h.
After 1 hour they are v km apart.
Danielle travels (v+10) km/h.
The distance between them decreases by 10 km/h.
They meet in 5 hours, after Danielle has traveled 5v+50 km and Alberto has traveled 6v km.
6v = 5v+50
v = 50 km/h
Alberto travels 50 km/h