The expression is a polynomial and and the degree of the polynomial(quadratic equation) is 2.
What is a polynomial expression?
A polynomial expression is an algebraic expression that takes the form [tex]\mathbf{ax^{n > 1}+bx+c}[/tex]. It consist of variables, arithmetic operator, non-integers and coefficient.
A quadratic equation is a form of polynomial equation due to the fact that it comprises of a power of x for which x is a non-negative integer. However, the degree of a quadratic equation is 2.
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Rename each fraction using a common denominator for both 1/3 1/4
if triangle dgh is congruent to triangle def find the value of x
Answer:
x = 25
Step-by-step explanation:
[tex] \triangle DGH\sim\triangle DEF... (given) [/tex]
[tex] \frac{DG}{DE} =\frac{GH}{EF} [/tex]
[tex] \frac{52}{91} =\frac{x+3}{2x-1} [/tex]
[tex] \frac{4}{7} =\frac{x+3}{2x-1} [/tex]
4(2x - 1) = 7(x + 3)
8x - 4 = 7x + 21
8x - 7x = 21 + 4
x = 25
Graph the inequality y<-1/3x+6.
Answer:
first point will be at (0, 6)
then from there you want to go down 1 and to the right 3 times also go up 1 and to the left 3 times (do that until you fill up your graph)
find the area of a non shaded area
You start at point A and walk north for 12 meters. You turn right and walk for 8 additional meeters. Finally, you turn south and walk 3 meters. How far away are you from your original position. Leave your answer as a simplified radical.
Answer:
28m
Step-by-step explanation:
How many solutions does the PLEASE HELP
nonlinear system of equations graphed below
have?
10
10
10
O A. One
B. Two
C. Four
D. Three
Answer:
three hope this helps you out
The given non-linear function will have three solutions.
What is a non-linear function?A nonlinear system is a system in which the change of the output is not proportional to the change of the input.
Given is a graph of a nonlinear function, we need to find the number of the solution this function holds,
We know that the by studying the graph of any function we can deduce the number of solution,
We know that the number of times graph intersects each other is its solution,
Looking at the graph we can see that the graph is intersecting the graph three times,
Hence, the given non-linear function will have three solutions.
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If y varies directly as x and x=6 when y=0.5, find y when x=10
Answer:
y = [tex]\frac{5}{6}[/tex]
Step-by-step explanation:
Given y varies directly as x, then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition x = 6 when y = 0.5 , then
0.5 = 6k ( divide both sides by 6 )
[tex]\frac{0.5}{6}[/tex] = k , that is k = [tex]\frac{1}{12}[/tex]
y = [tex]\frac{1}{12}[/tex] x ← equation of variation
When x = 10, then
y = [tex]\frac{1}{12}[/tex] × 10 = [tex]\frac{10}{12}[/tex] = [tex]\frac{5}{6}[/tex]
Joe can jog 6 miles in one hour.How much farther than Tera can he jog in 2 hours (Tera can jog 11 miles in 2 hours)
Answer:
1 mile
Step-by-step explanation:
Joe = 6 mph
6 x 2 hours = 12 miles in 2 hours
Tera = 11 miles in 2 hours
12 - 11 = 1 mile
Trigonometry:
Find cos θ.
Answer:
a
Step-by-step explanation:
formula for cos theta is ration of adjacent side to hypotenuse side
so, 28 is adjacent side.
and 53 is hypotenuse side.
Thats why the ans is A
The trigonometric function gives the ratio of different sides of a right-angle triangle. The correct option is A.
The trigonometric function gives the ratio of different sides of a right-angle triangle.
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite the 90° angle.
The value of cosθ can be written as,
Cosθ = Base / Hypotenuse
Cosθ = 28/53
Hence, the correct option is A.
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Find the perimeter of quadrilateral LEAP with vertices L(-3, 1), E(3, 3), A(5, 7) and P(-1,5)
Answer:
4√5 + 4√10
Step-by-step explanation:
The perimeter is the sum of all the sides.
Using the coordinates given to us, we can find the sides of the quadrilateral.
d(ab) = √[(x2 - x1)² + (y2 - y1)²]
Given that, we apply that to each and every of the side, and thus we have
d(le) = √[(3 --3)² + (3 - 1)²]
d(le) = √[(6²) + (2)²]
d(le) = √(36 + 4)
d(le) = √40
d(ea) = √[(5 - 3)² + (7 - 3)²]
d(ea) = √[(2)² + (4²)]
d(ea) = √(4 + 16)
d(ea) = √20
d(ap) = √[(-1 - 5)² + (5 - 7)²]
d(ap) = √[-6)² + (-2)²]
d(ap) = √(36 + 4)
d(ap) = √40
d(pl) = √[(-1 --3)² + (5 - 1)²]
d(pl) = √[(-2)² + (4)²]
d(pl) = √(4 + 16)
d(pl) = √20
Perimeter of the quadrilateral is then
d(le) + d(ea) + d(ap) + d(pl)
√40 + √20 + √40 + √20
4√5 + 4√10
Hi, can someone please help me with some geometry problems?!!!
Answer:
I can!
Step-by-step explanation:
10) What is the area of the figure below? Round your answer to the nearest tenth (1 place
value)
The area of the figure is
un?
What is the area of the triangle?
16
10
"T
8
Answer:
40 unit^2.
Step-by-step explanation:
Area = 1/2 * base * altitude
= 1/2 * 8 * 10
= 40 unit^2.
WHEN adding integers and the signs are different, how do you know what the sign will be?
Step-by-step explanation:
when you add integers remember that the positive integers move you to the right (so the integer will increase) and negative integers move you to the left (so the integer will decrease)
Hope this helps.
HELP PLEASE I WILL GIVE BRAINLEAST IF CORRECT
If 5th block class usually has 5 engaged students and it goes up to 9 engaged students, what is the change of percent?
Answer:
180%
Step-by-step explanation:
Im not sure I understood the problem
But 180% of 5 is 9
I NEED HELP ASAP Identify the property used:
144x12=12x144
Answer: COMMUTATIVE PROPERTY OF MULITIPLICATION
Step-by-step explanation: the commutative property is when the numbers are basically swapped
Gl on your assignment :)
You went to dinner at Applebee’s and your bill was 12.95 you want to leave your waitress and 18% tip when you combine your bill for your food with your tip what was the total amount of money you spent on dinner round your answer to the nearest penny
Answer: Total (Bill + Tip ) = $ 16 ( Tip = 3$ )
Step-by-step explanation:
i only have the answer :3
Match the letter to the correct action taking place.
Answer:
Box 1 is A (top box)
Box 2 is B (middle box)
Box 3 is C (lowest box)
I am not taking computer science, so I am just using visual clues... If this is not worth a lot in your grade, making mistakes is okay. So, you can guess.
Please select a b c or d
Answer:
a
Step-by-step explanation:
Plz help fast will mark brainliest
Answer: -270
Step-by-step explanation:
First, simplify the exponent
[tex]-6*(25+20)[/tex]
Then, distribute
[tex]-150+-120[/tex]
Then, subtract(add a negative)
[tex]-270[/tex]
Hope it helps <3 :)
help. pls. i will mark brainliest.
Answer:
pretty sure its b.
hope this helps!
Answer:
i think its none of the above
Step-by-step explanation:
because it can't be vertical since they need to be on opposite sides
it's not complementary because it doesn't equal to 90
it can't be supplementary because line D is not straight
so that's why i think it's none of the above
3². (2²+4)
What is the value of the expression
22
?
A. 10
B. 15
C. 19
D. 27
someone please help lol
Help meeeeeeee! I will give brainly just do it soon!
Answer:
x=25
Step-by-step explanation:
hope this is correct!
Describe how to find the slope and y intercept of 2x+3y=6, then describe how would you graph the line.
Answer:
Step-by-step explanation:
In order to convert the standard form equation we are given now into slope-intercept form, we need to get y on one side by itself and solve for y.
Work.
2x+3y=6
-3y -3y
2x=6-3y
-6 -6
2x-6=-3y
/-3 /3
-2/3x+2=y
y=-2/3x+2
Now that it is in slope intercept form, we can identify the y intercept and slope.
y-int=(0,2), slope=-2/3
I would graph the line by first plotting the y-intercept at the point (0,2). From there, I would plot the slope by going down 2 blocks and moving 3 blocks to the right. Then I would connect the two points with a ruler to get my line since you only need two points to create a line.
(2n4 - 13n3 + 32n2 – 51n – 54) = (2n – 9)
Answer:
2n-9
Step-by-step explanation:
Here is a cuboid.
All measurements are in centimetres.
x is an integer.
The total volume of the cuboid is less than
900 cm^3
Show that x < 5.
Answer:
Look below
Step-by-step explanation:
-x*3x*2x=6x^3
-6x^3<900
-(cube root both sides)
-6x<9.654893846
-divide by 6
-x=1.609148974
And since 1.609148974 is less than 5, that means that X<5 is correct and hence proved
For given cuboid, x < 5
What is cuboid?"It is a three-dimensional geometric structure that has six rectangular faces, twelve edges and eight vertices."
Formula of the volume of the cuboid:V = l × w × h
where, l: length of the cuboid
w: width of the cuboid
h: height of the cuboid
For given example,
We have been given the total volume of the cuboid is less than 900 cm^3
⇒ V < 900 cm³
the length of the cuboid (l) = 3x
the width of the cuboid (w) = 2x
the height of the cuboid (h) = x
Using the formula of the volume of the cuboid,
⇒ V < 900
⇒ l × w × h < 900
⇒ (3x) × (2x) × (x) < 900
⇒ 6x³ < 900
⇒ x³ < 150
⇒ x < 5.3
⇒ x < 5
Therefore, for given cuboid, x < 5
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One equation in a system of linear equations has a slope of -3. The other equation has a slope of 4. How many solutions does the system have? Explain.
=============================================================
Explanation:
When two lines have different slopes like this, it means the two lines are not parallel. Recall parallel lines are when the slopes are equal (the rise and run are the same, so you can think of it like the same stair-step pattern).
Non-parallel lines intersect at exactly one location. This point of intersection is the solution to the system of equations.
----------------------------
A more in-depth look (optional section)
Let's consider the system of equations shown below
[tex]\begin{cases}y = mx+b\\y = mx+c\end{cases}[/tex]
For each equation shown here, the m values are the same slope. However, b and c are different values (in other words, [tex]b \ne c[/tex]). This system describes any two parallel lines that aren't vertical.
Since we're dealing with the same y value, we can apply substitution to try to solve for x. But we run into a problem
y = mx+b
mx+c = mx+b ... replace y with mx+c
c = b .... subtract mx from both sides
But we stated that c and b were different, and not equal. This is a contradiction. So if we had a system of this form, then we have 2 parallel lines that lead to no solution. We call this an inconsistent system.
Next, we'll consider this system of equations
[tex]\begin{cases}y = mx+b\\y = nx+c\end{cases}[/tex]
The only thing different here is the second equation has n instead of m as its slope. We'll assume that m and n are not equal to each other. If m = n, then we just end up with the previous scenario. Let's try to solve x now
y = mx+b
nx+c = mx+b
nx-mx = b-c
(n-m)x = b-c
x = (b-c)/(n-m)
Assuming [tex]m \ne n[/tex], we can generate one solution for x as shown above. This single solution for x generates a corresponding single solution for y. So overall, this proves that we have one ordered pair (x,y) solution to this system.
In short, I've shown that if m and n are different slopes, then the system of equations has exactly one solution.
The diameter of the wheel of a unicycle is 0.9m.
Alex tries to ride the unicycle and manages to go in a straight line for 33 full revolutions before
falling off.
h
How far did Alex manage to cycle in metres?
Give your answer rounded to 1 DP.
Please answer will give brainliest
Answer:
yes
Step-by-step explanation:
Answer:
171
Step-by-step explanation:
I can give you the formula if u want
How Many Minutes?pls help me.
Answer:
1/2 t + 9
10.25 = 1/2 t + 9
1.25 = 1/2 t
t = 2.5
Answer: 2.5 minutes