Answer:
The factorized form of the given expression is [tex]4 [(a-1)^2 - b(a - 1 + \frac{b}{4})][/tex]
Step-by-step explanation:
Given;
4a² + b² - 4ab - 8a + 4b + 4
This expression is factorized as follows;
(4a² - 8a + 4) + (b² - 4ab + 4b)
(4a² - 4a - 4a + 4) + b² - 4b(a - 1)
(4a - 4)(a - 1) + b² - 4b(a - 1)
(4a - 4)(a - 1) - 4b(a - 1) + b²
4(a - 1)(a - 1) - 4b(a - 1) + b²
4(a - 1)² - 4b(a - 1 + b/4)
[tex]4(a- 1)^2 - 4b(a - 1 + \frac{b}{4} )\\\\4 [(a-1)^2 - b(a - 1 + \frac{b}{4})][/tex]
Use a Pythagorean Triple to find the value of x. 8,17
Answer:
a+B=c. x+8=17. x+8-8=17-8.
x=9
Marcy bought a new pair of designer shoes and a matching purse. She paid using a method that would immediately deduct the amount she spent from her bank account. How did she pay?
Answer:
Ummm....
Step-by-step explanation:
A credit card?
The highest elevation in Argentina is
22,834 feet above sea level.
The lowest elevation in Argentina is 344
feet below sea level.
Which is the difference between the
highest and the lowest elevations in
Argentina?
Answer:
22,490
Step-by-step explanation:
To calculate the difference you have to subtract so,
22,834 - 344 = 22,490
22,490 will be your answer.
Have a great day!
HELP PLZ PLZ PLZ
During the day, 25 trains pulled into the subway station. Of those trains, 14 were full.
Over the next 10 hours, 400 trains will pull into the subway station. Using the earlier
information, predict how many will be full.
correct answers only
Answer:
224 Trains
Step-by-step explanation:
Im unsure if this is correct but I'll explain how i got the answer.
14/24 trains were full before, and so only 56% of trains were full.
Now we have 400 trains, and assuming that the 400 trains will also be 56% full, you multiply 400 and the decimal form of 56%
400x.56= 224
what is the value of √-36
Answer:
6
Step-by-step explanation:
Answer:
Negative 6 or -6
Step-by-step explanation:
Have a great day!
George bought a cylindrical water tank for his garden, but he forgot to ask the seller what the diameter of the tank was. He needs to know the diameter of the tank so that he can build a platform for it to sit on. The seller told him the Volume of the tank it 300 (pi) cubic ft and it's height is 10ft what is the diameter of the tank. round only your final answer to the nearest foot pls help
Answer:
12ft
Step-by-step explanation:
252π/7=36π, so r=6. d=r*2=12 ft
If the factors of quadratic equation are (x+4) and (x-9), what are the x-intercepts?
A. (-4,0) and (9,0)
B. (-9,0) and (-4,0)
C. (4,0) and (9,0)
D. (-9,0) and (4,0)
Answer:
The answer is A. (-4,0) and (9,0)
Step-by-step explanation:
I took the test and got it right.
find the equation of the graph plz urgent helppp
Answer:
...
Step-by-step explanation:
y=mx+b
y= -7/5x-3
Answer:
y=-7/5x-3
Step-by-step explanation:
one fruitloops are gay 2 what is 8=-4+x please and thank you
Answer:
Okayyy.... anywayss...
Solve for x by simplifying both sides of the equation, then isolating the variable.
x = 12
Step-by-step explanation:
I hope that this answer helps you to understand your question asked. If you have any further questions, please ask them below.
Have a great rest of your day/night!
What is the square root of 200 in a whole
Plz answer
Answer:
The square root of 200 can be simplified as 10√2.
Step-by-step explanation:
hope i helped
Answer:
10[tex]\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\sqrt{2^{3} * 5^{2} }[/tex]
[tex]\sqrt{2^{2} *2*5^{2} }[/tex]
[tex]2\sqrt{2}\sqrt{5^{2} }[/tex]
[tex]2\sqrt{2} *5[/tex]
10[tex]\sqrt{2}[/tex]
90[120-10+30*(72/920)]
Answer:
Step-by-step explanation:
10111 7 /23
The answer is :
10111.3043478I looked it up on the calculator. I hope this helps you! :)
31. Suppose that y varies inversely with x and that y = 4 when x = 6. What is an equation for the
inverse variation?
(1 po
6
Oy=
4x
24
y= —
2
24
Answer:
y = [tex]\frac{24}{x}[/tex]
Step-by-step explanation:
Given that y varies inversely with x then the equation relating them is
y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation
To find k use the condition y = 4 when x = 6 , then
4 = [tex]\frac{k}{6}[/tex] ( multiply both sides by 6 )
24 = k
y = [tex]\frac{24}{x}[/tex] ← equation of variation
True or false? In order to find the diagonal inside a rectangular prism, you need to use the Pythagorean Theorem two different times
Answer:
The 2D Pythagorean theorem can be applied twice to calculate the longest diagonal inside a rectangular prism.
Step-by-step explanation:
Mariah is baking 15 loaves of banana bread for the community bake sale. She wants to bake enough loaves of banana bread to keep 3 extra at home.
Mariah must bake at least ___ loaves of banana bread total.
The volume of a cube is 64 cubic meters. What is the surface area of the cube, in square meters?
Answer:
96 square meters
Step-by-step explanation:
Figuring out the side length of a cube from its volume is fairly simple. Using the cubic root we are able to deduce that the side length is 4 meters.
We then find the area of one face which is 4 * 4 = 16 square meters.
We must then multiply this by the amount of sides on our cube which is 6.
16 * 6 = 96 square meters.
50 decreased by ??? is 40
options are
60% 80%
19% 40%
Answer:
19%
Step-by-step explanation:
40/50 = x/100
solve for x
x is equal to 20%
but out of the answer choices it's 19%.
Answer: 19%
Step-by-step explanation:
50, percentage decreased by 60% (percent) of its value = 20
50, percentage decreased by 80% (percent) of its value = 10
50, percentage decreased by 19% (percent) of its value = 40.5
50, percentage decreased by 40% (percent) of its value = 30
Hence, the answer is 19%
Question 4
In order to ensure that the roof consists of right angles, an architect measures the diagonal to create a triangle. If the dimensions of the
triangle are 9.5 feet, 16 feet, and 18.5 feet, is the triangle a right triangle?
Answer:I have a question
Step-by-step explanation:
About that question is it a right triangle or no
The triangles with side lengths 9.5 feet , 16 feet and 18.5 feet is an acute triangle
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as ΔABC
Now , the height of the triangle is AB = 16 feet
The base of the triangle is BC = 9.5 feet
The hypotenuse of the triangle is AC = 18.5 feet
And , for a triangle , if a² + b² > c² , it is an acute triangle
Substituting the values in the equation , we get
( 9.5 )² + ( 16 )² > ( 18.5 )²
90.25 + 256 > 342.25
346.25 > 342.25
Hence , the triangle is an acute triangle
To learn more about triangles click :
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Find the area of this figure.
Answer:
216 cm^2
Step-by-step explanation:
Alright, first lets knock out the rectangle. This would be found by doing L * H. For the length it would be 14. For the height, it would be 12.
14 * 12 = 168
Next with the triangle, it has a length, or "base" of 8 and the same height of 12. For a triangle, do (B * H) / 2 as the formula.
(8 * 12) / 2
96 / 2
48
Now, combine these two values to get the total:
168 + 48 = 216 cm^2
All done!
let f(x) = 1/x-3 and g(x) = the square root of x+5. What is the domain of (f o g) (x)
Answer:
the second one
Step-by-step explanation:
Option B is correct. the required domain of the function will be expressed as [-5, 3) U (3, ∞)
The domain of a function is the input function for which a function exists.
Given the functions
f(x) = 1/x-3
g(x) = √x+5
Get the composite function (f o g) (x)
(f o g) (x) = f(g(x))
f(g(x)) = f( √x+5)
[tex]f(g(x)) =\frac{1}{\sqrt{x+5}-3 }[/tex]
According to the function gotten, we can see that the domain of the fucntion will exist for all values of x except at x = 4. The function tends to infinity at x = 4. Hence the required domain of the function will be expressed as [-5, 3) U (3, ∞)
Learn more here: https://brainly.com/question/10564333
Help me with this please!!!!!!
Answer:
d = √(x2 - x2)^2 + (y2 - y1)^2 + (z2 - z1)^2
P1(0, 0, 0) P2(7, 3, 5)
Substitute the values in the above equation and you will get
d = √(7)^2 + (3)^2 + (5)^2
= √(49 + 9 + 25)
= √83
= 9.11
Answer:
The answer is 9.11
2. A LADDER IS LEANING AGAINST THE SIDE OF A HOUSE. THE LADDER IS 25 FEET LONG. THE ANGLE
OF ELEVATION OF THE LADDER IS 50°. HOW FAR IS THE BASE OF THE LADDER AWAY FROM THE
HOUSE?
Answer:
the base of the ladder is 16.1 feet away from the house
so 16.1
Step-by-step explanation:
Round 54, 842 to the nearest hundred.
Answer:
55,000
Step-by-step explanation:
if u mean 54 and 842
54=50
842= 800
Answer:
54,800 is the correct answer.
Round your answer to the nearest hundredth 4.) A basketball is passed through the air. The height h of the ball in feet after the distance d In teet the ball travels horizontally is given by h= - + 124 + 6. How tar horizontally from the player passing the ball will the ball land on the ground? I
Answer:
10.48 feet
Step-by-step explanation:
WILL MARK BRAINLIEST ANSWER!!!!!
4. Find the measure of angle x.
5. Find the measure of angle x.
What are the coordinates of the image of the point (-2, 8) when rotated 180 degrees around the origin?
A) ( 8, 2)
B) (8, -2)
C) (2, -8)
D) (-8, -2)
Answer:
C) (2, -8)
Step-by-step explanation:
The rule for a 180 degree rotation is negating both coordinates (making both x and y the opposite sign)
CAN SOMEONE HELP LIKE RIGHT NOW!!!!!
Answer:
30 + 25 + (4x + 25) = 180
55 + (4x + 25) = 180
-55 -55
4x + 25 = 125
-25 -25
4x = 100
Divide by 4 on both sides
X = 25
Now we just replace the x with 25
4 x 25 = 100, 100 + 25 = 125 degrees is the missing angle of y
Hunter is splitting a quart of ice cream with 7 family members if the quart is split evenly how many cups will each family member get
Answer:
1.75 or about 1 cup of ice cream
Step-by-step explanation:
Well, we first have to figure out how many cups of ice cream are in a quart. (There are 4 cups in a quart) So know we have to divide 4 into 7 that will give you 1.75 so each family would get approximatley 1.75 cups of ice cream. That is if it is talking about specifically how much ice cream but you could also say about a cup
Derrick needs to figure out how he’s doing on his test scores so far this year. You can help by calculating the mean and the median to get an overall picture of his scores. Below are all of his scores:
25, 40, 68, 85, 95, 98, 70, 78, 85, 100
Answer:
Mean = 74.4
Median = 81.5
Step-by-step explanation:
25, 40, 68, 85, 95, 98, 70, 78, 85, 100
Mean = Sum of values / Number of values
Number of values = 10
= 25 + 40 + 68 + 70 + 78 + 85 + 85 + 95 + 98 + 100/10
= 744/10
= 74.4
Median
Rearranging the given data
= 25, 40 ,68 ,70 ,78 ,85 ,85 , 95 ,98 ,100
Formula for median = 1/2(n + 1)th value
n = 10
Hence
1/2(10 + 1)th value
1/2(11)th value
= 5.5 th value
This fall between the 5th and 6th value
5th value = 78
6th value = 85
Hence: 78 + 85/2
= 163 / 2
= 81.5
In the polynomial x^4 − 2x^3 + kx^2 + 3x + 1, k is a real number. For what value of k is ( x+1 ) a factor of the polynomial?
The value of k is ___.
Answer:
Since (x−2) is a factor of the polynomial 3x
3
−2x
2
+kx−6=0, we have
p(2)=0
i.e. 3(2)
3
−2(2)
2
+k(2)−6=0$
i.e. 24−8+2k−6=0
i.e. 2k=−10
i.e. k=−5.
Step-by-step explanation:
Find the missing side of this right triangle.
Answer:
4,-4
Step-by-step explanation: