factor x to the fourth-5x squared+4
Answer:
Work shown below!
Step-by-step explanation:
[tex]x^{4}-5x^{2} +4[/tex] = [tex]0[/tex]
[tex]A[/tex] = [tex]x^{2}[/tex]
[tex]A^{2} -5A+4[/tex] = [tex]0[/tex]
[tex](A-1)(A-4)[/tex] = [tex]0[/tex]
[tex](x^{2}-1)(x^{2} -4) =0\\(x-1)(x+1)(x-2)(x+2)=0[/tex]
x - 1 = 0
Add 1 to both sides;
x = 1
x + 1 = 0
Subtract 1 from both sides;
x = -1
x - 2 = 0
Add 2 to both sides;
x = 2
x + 2 = 0
Subtract 2 from both sides;
x = -2
Line a: (0,4) and (6,0)
Line b: (4,−1) and (6,2)
The slope of Line a is Answer
The slope of Line b is Answer
Answer:
Line a slope is -4/6
Line b slope is 3/2
Step-by-step explanation:
This answer is correct, because i did it on edge and go 100% (trust me!)
41.501÷4.7=?
Please help meee
Answer:
8.83
Step-by-step explanation:
there you go i hope it helps
Answer:
8.83
Step-by-step explanation:
Estimate the solution of the system of equations. Write the answer as an ordered pair.
Answer:
Solution of the given system of equations is (1, 2.5)
Step-by-step explanation:
From the graph attached,
Two intersecting lines represent the system of equations.
And the solution of the system of equations is a common point where these lines intersect.
Graph shows both the line are intersecting each other at (1, 2.5).
Therefore, solution of the given system of equations will be (1, 2.5).
One cylinder has a volume that is 8 Centimeters cubed less than StartFraction 7 over 8 EndFraction of the volume of a second cylinder. If the first cylinder’s volume is 216 Centimeters cubed, what is the correct equation and value of x, the volume of the second cylinder?
StartFraction 7 over 8 EndFraction x + 8 = 216; x = 182 centimeters cubed
StartFraction 7 over 8 EndFraction x minus 8 = 216; x = 196 centimeters cubed
StartFraction 7 over 8 EndFraction x + 8 = 216; x = 238 centimeters cubed
StartFraction 7 over 8 EndFraction x minus 8 = 216; x = 256 centimeters cubed
Answer:
D. StartFraction 7 over 8 EndFraction x minus 8 = 216; x = 256 centimeters cubedStep-by-step explanation:
Equation for the volume and solution:
7/8x - 8 = 216 7/8x = 216 + 87/8x = 224x = 224*8/7x = 256 cm³Correct option is D.
Answer:
D. StartFraction 7 over 8 EndFraction x minus 8 = 216; x = 256 centimeters cubed
PLS HELP WITH THE QUESTION IN THE PICTURE!!!
Answer:
D
Step-by-step explanation:
Interesting question. The wording is a bit awkward. I think you have to assume the base is a square and each succeeding base is also a square.
So the first thing to do is to add the bases together.
30*30 + 23*23 + 16*16 + 9*9
Don't add these -- not yet.
Now take the height into consideration
6 *(30*30 + 23*23 + 16*16 + 9*9)
The point is that you only have to multiply by 6 once.
6*(900 + 529 + 256 + 81)
6*(1766)
10596 cubic inches
The answer is D
please help me out with this
Answer:
d. The Pup Palace Kennel is never cheaper than Ngyuen's Kennel
Step-by-step explanation:
Show your work and write an expression using the following criteria:
Divide 4,200 by a multiple of 10
The quotient is also a multiple of 10
Answer:
420
Step-by-step explanation:
edge
Mrs. Reyes asked 3 girls and 4 boys to help with a project. She had each student make 8 paper airplanes. Drag steps to show how to find the total number of airplanes.
Answer:
56
Step-by-step explanation:
Given that:
Number of girls = 3
Number of boys = 4
Each student makes 8 paper airplanes.
To find:
The total number of airplanes = ?
Solution:
There can be two ways to find the total number of airplanes.
Method 1:
Keep on adding the number of airplanes for each student.
There are a total of 3+4 = 7 number of students.
First student makes = 8 airplanes
Second student makes = 8 airplanes
Third student makes = 8 airplanes
Fourth student makes = 8 airplanes
Fifth student makes = 8 airplanes
Sixth student makes = 8 airplanes
Seventh student makes = 8 airplanes
Total number of airplanes = 8 + 8 + 8 + 8 + 8 + 8 + 8 = 56
Method 2:
Simply multiply number of airplanes each student makes with the number of students.
i.e. 8 [tex]\times[/tex] 7 = 56
A car travels at a constant speed, as shown on the double number line. Double number line. Time, hours. Distance, kilometers. How far does the car travel in 14 hours? Explain or show your reasoning.
Answer:
980 km.
Step-by-step explanation:
The speed of the car is constant,
From the double number line:
When the time is 0 hour, the distance covered is 0 km.
When the time is 1 hour, the distance covered is 70 km.
When the time is 2 hours, the distance covered is 140 km,
which can be written as
when the time is 2 hours, the distance covered is 70 x 2 km.
Similarly,
When the time is 3 hours, the distance covered is 210= 70 x 3 km.
This can be generalized as,
When the time is n hours, the distance covered is 70 x n km, i.e
The distance traveled in n hours = 70 x n km.
So, for 14 hours, n= 14,
Hence, the distance traveled in 14 hours = 70 x 14= 980 km.
Cydney is proving that perpendicular lines have slopes that are opposite reciprocals. She draws line p and labels two points on the line as (0, a) and (b, 0). Enter the answers, in simplest form, in the boxes to complete the proof. The slope of line p is . Rotate line p 90° counterclockwise about the origin to get line q. The labeled points on line p map to (−a, 0) and ( , ) on line q. The slope of line q is . The slopes of the lines are opposite reciprocals because the product of the slopes is .
Answer:
Slope of p = -a/b
(0, b) is on line q
Slope of q = ( b - 0) / (0 - -a) = b/a
Product of the slopes = (-a/b) (b/a) = (-ab) /(ab) = -1
I hope this helps (: Have a whimsical day! lol
will give brainlist
Answer:
y=24 x=33
Step-by-step explanation:
Example: ⇒
y
=
k
x
to find k use the given condition
y
=
−
24
when
x
=
8
y
=
k
x
⇒
k
=
y
x
=
−
24
8
=
−
3
equation is
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
∣
∣
∣
2
2
y
=
−
3
x
2
2
∣
∣
∣
−−−−−−−−−−−−−−
when
x
=
10
then
y
=
−
3
×
10
=
−
30
A, B, and C are points on the circumference of a circle, centre 0. AOB is a diameter of the circle. Prove that angle ACB is 90° You must not use any circle theorems in your proof.
Answer:
Kindly refer to explanation.
Step-by-step explanation:
Given that:
A,B and C are 3 points on circumference of circle with centre O.
AOB is diameter.
Kindly refer to the attached image.
To prove:
[tex]\angle ACB = 90^\circ[/tex]
Solution:
Let [tex]\angle A = x[/tex] and [tex]\angle B = y[/tex].
Construction: Join point A with centre O.
Considering [tex]\triangle AOC[/tex]:
Side AO = OC because both are the radius.
Angles opposite to equal sides in a triangle are equal.
Therefore, [tex]\angle ACO=\angle A=x[/tex]
Considering [tex]\triangle BOC[/tex]:
Side BO = OC because both are the radius.
Angles opposite to equal sides in a triangle are equal.
Therefore, [tex]\angle BCO=\angle B=y[/tex]
[tex]\angle ACB = \angle ACO + \angle BCO = x+y[/tex] ...... (1)
Now, in [tex]\triangle ABC:[/tex]
Using angle sum property of triangle:
[tex]\angle A + \angle B + \angle ACB =180^\circ\\\Rightarrow x+y+x+y=180^\circ\\\Rightarrow 2(x+y)=180^\circ\\\Rightarrow x+y=90^\circ[/tex]
By equation (1):
[tex]\angle ACB = 90^\circ[/tex]
Hence proved.
....................................
Answer:
3i√5 is the awnser so it is c
Step-by-step explanation:
i am sure of it
Help...... ._. ........ Me
Square root -80 by using imaginary unit I
4) Solve Ax + By = C, for y
Answer:Ax + By = C
-ax -ax
-------------------
By = -Ax + C
--- ------------
B B
--------------------
y = -Ax + C
----------
B
Step-by-step explanation:
Answer:
y=c/b-ax/b
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
which ratios below is equivalent 10 2:1 ? Select all that apply A- 6:4 B-8:4 C- 10:5 D- 6:12 E- 6-3
Answer:
B C E
Step-by-step explanation:
(:
Which of the following numbers is not a perfect square?
a. 49
b. 121
c. 125
d. 144
Answer:
C. 125Step-by-step explanation:
49 = 7×7 ← a perfect square
121 = 11×11 ← a perfect square
144 = 12×12 ← a perfect square
but:
125 = 5×5×5 = 5√5×5√5 and 5√5 is not integer so 125 is not a perfect square
Answer:
C. 125
Step-by-step explanation:
source: trust me bro
simple question just answer correctly to get brainleist and 10 pts! :)
Answer:
C is the answer.
A brainlyest would really help out!
At the coffee shop the price of a price of a cup of coffee increased from 1.20 to 1.44 what is the percent increase in the cost of coffee
Answer:
20%
Step-by-step explanation:
1.2*1.2=1.44
true or false
4k (k+30) = 4k – 120k
Answer: False
Step-by-step explanation:
Help me pleaseeeeee!!
Answer:
A
Step-by-step explanation:
The points (2.1, -4.2) and (2.5, -5) form
a proportional relationship. What is the slope of
the line that passes through these two points?
Answer:
m = -2
Step-by-step explanation:
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The slope of the line that passes through the points (2.1, -4.2) and (2.5, -5) that form a proportional relationship is: -2.
Recall:
The slope (m) of a line can be calculated using the formula:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Given the points that a line passes through are:(2.1, -4.2) and (2.5, -5)
To calculate the slope of the line that passes through both points, let,[tex](2.1, -4.2) = (x_1, y_1)\\\\(2.5, -5) = (x_2, y_2)[/tex]
Plug in the values into the formula:Slope (m) = [tex]\frac{-5 -(-4.2)}{2.5 - 2.1} = \frac{-0.8}{0.4} = -2[/tex]
Therefore, the slope of the line that passes through the points (2.1, -4.2) and (2.5, -5) that form a proportional relationship is: -2.
Learn more here:
https://brainly.com/question/18047340
What is 3 divided by 5/6
Answer:
3.6
Step-by-step explanation:
3÷5/6=3×6/5=18/5=3.6
Answer:
3.6
Step-by-step explanation:
or infraction form 3 3/5
Solve for the line, Thank you!
Why do you always need to create an equation of a line
Whitney rode her skateboard at a constant speed. She rode 1 mile in 10 minutes. Which of these equations represents the amount of time, t, in minutes that it takes her to ride the distance, d, in miles?
A. t=d10 B. t=d+10 C. t=10d D. d=10t
Answer:
C. t = 10d
Example:
If i rode the bike for 3 miles then
t = 10(3)
Then,
t = 30
So, the bike was rode for 30 minutes
evaluate g (x) = 4- 3x when x = -3, 0, and 5
Answer:
13, 4, -11
Step-by-step explanation:
g(-3) = 4-3(-3) = 4+9 = 13
g(0) = 4-3(0) =4-0 = 4
g(5) = 4-3(5) = 4-15 = -11
2 (x - 2/3) = 0
solve for x
Answer:
x = 2/3
Step-by-step explanation:
2(x-2/3)=0
2x-1 1/3=0
2x=1 1/3
Devide both sides by 2
x=2/3