The graph of y² 4x is a parabola with vertex (0,0) and x- and y-intercepts (0,0). The graph opens downward and can be written as y=4x².
The graph of y² 4x is a parabola in the shape of a "U" that opens downward. This parabola can be written in the standard form of y=a(x-h)²+k. In this case, a=4, h=0, and k=0. This means that the equation for the graph of y² 4x is y=4x².
To calculate the graph, we must first determine the vertex, which is the point of the parabola that has the maximum or minimum value. To do this, we use the formula for the vertex of a parabola, which is (h,k)=(-b/2a,f(h)). With a=4 and b=0, the vertex of the parabola is (0,0).
We can then calculate the x-intercepts, which are the points at which the graph of y² 4x crosses the x-axis. To do this, we set y=0 in the equation y=4x² and solve for x. This gives us x=±√(0/4) or x=0. This means that the x-intercepts of the graph of y² 4x are (0,0).
Finally, we can calculate the y-intercept, which is the point at which the graph of y² 4x crosses the y-axis. To do this, we set x=0 in the equation y=4x² and solve for y. This gives us y=0. This means that the y-intercept of the graph of y² 4x is (0,0).
Learn more about Parabola here:
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Find a unit vector in the direction of the given vector.
v = 9i − 6j
Given:
The given vector is:
[tex]v=9i-6j[/tex]
To find:
The unit vector in the direction of the given vector.
Solution:
If a vector is [tex]v=ai+bj[/tex], then the unit vector in the direction of the this vector is
[tex]\hat v=\dfrac{v}{|v|}[/tex]
Where, [tex]|v|=\sqrt{a^2+b^2[/tex]
We have,
[tex]v=9i-6j[/tex]
Here, [tex]a=9[/tex] and [tex]b=-6[/tex]. So,
[tex]|v|=\sqrt{9^2+(-6)^2}[/tex]
[tex]|v|=\sqrt{81+36}[/tex]
[tex]|v|=\sqrt{117}[/tex]
[tex]|v|=3\sqrt{13}[/tex]
Now, the unit vector in the direction of the given vector is:
[tex]\hat v=\dfrac{9i-6j}{3\sqrt{13}}[/tex]
[tex]\hat v=\dfrac{9i}{3\sqrt{13}}-\dfrac{6j}{3\sqrt{13}}[/tex]
[tex]\hat v=\dfrac{3}{\sqrt{13}}i-\dfrac{2}{\sqrt{13}}j[/tex]
Therefore, the required unit vector is [tex]\hat v=\dfrac{3}{\sqrt{13}}i-\dfrac{2}{\sqrt{13}}j[/tex].
Help plsssssss:)))))))
Answer:
x = -14
Steps:
Rewrite the equation as -8 = 6+x
Then move all terms not containing x to the right side of the equation.
x = -8-6
Afterwords subtrack.
x = -14.
hope this helps :)
SOMEONE PLEASE HELP!!!!! I’m not quite sure
Answer: I have no clue lol but if I had to guess I'd say A because it just seems like it stands out from the rest
Step-by-step explanation:
I don’t even understand the question please help
Plz helpp I’m bad at math
Answer:
40
Step-by-step explanation:
because a straight line is 180 degrees so 140 plus 40 equals 180
Answer:
40
Step-by-step explanation:
straight line is 180 degrees
180=140+x
140+40=180
I need help on 13 and 14, you will get 25 points with brainlyist!!!
Answer:
14 is C and 13 is also C
Step-by-step explanation:
so 14 and 13 a both C
mark brainliest or give 1 heart and 5 stars or maybe both
G varies directly as the square of j and inversely as m. If g=0.05 when j = 0.4 and m=1.6, what is g when j =6 and m=4
Answer: The value of G = 4.5
Step-by-step explanation:
As per given,
[tex]G\propto \dfrac{j^2}{m}[/tex]
When we replace proportional sign with an equal to sign, we get
[tex]G=k\dfrac{j^2}{m}[/tex], where k = constant
If G=0.05 when j = 0.4 and m=1.6, then
[tex]0.05=k\dfrac{0.4^2}{1.6}\\\\ 0.05=k(0.1)\\\\ k=0.5[/tex]
Now,
[tex]G=0.5\dfrac{j^2}{m}\\\\\Rightarrow\ G=0.5\dfrac{6^2}{4}\\\\\Rightarrow\ G=4.5[/tex]
hence, when j =6 and m=4, the value of G = 4.5
This is for now I need help pls !!!!!!!
ANSWER THIS ILL GIVE YOU POINTS
my bad it it was D lol .....
I'm so stuck I was taught this 5 months ago I don't remember this lol.
Answer:
C. 24 12/20
Step-by-step explanation:
4 3/4 × 6 4/5
24 3/4 × 4/5
24 12/20
PLEASE HELP!!
Also the last option is
4 units left and 3 units down
Answer:
B
Step-by-step explanation:
Which of the following statements are true?
A) 3 lbs of sugar is sugar is required to make 60 muffins.
B) 120 lbs of sugar is required to make 6 muffins.
C) 0 lbs of sugars required to make 0 muffins.
D) The maximum number of muffins that can be made is 220
Answer:
C
Step-by-step explanation:
Because 0 lbs of sugar is required to make 0 muffins
I hope this is right
Please answer both of you can
. Find the indicated term of the arithmetic sequence.
Find a_23 in the sequence -18,-34,-50,-66,…
Answer:
Hello . ♡
The answer to your question is : −370 .
Step-by-step explanation:
Hope this helps u ;)
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer:
x=3
Step-by-step explanation:
Hope this help and plz give me brainlist.
Answer: x=3
Step-by-step explanation: cuz Im know how to solve for x. Hope its good!
PLZS HELP NEED BY TODAY!!
Answer:
20°
Step-by-step explanation:
ok so if 40 degrees is on one side its also on the side parallel from it
a straight line = 180 degrees
so 180 - 40 = 140
so 7x =140
we now divide 7 on both sides and get x=20 because the 7 cancels out
180 -40 =140
7x = 140
7x/7 =140/7
x=20
Hope I helped?
Is 8 a solution to the equation 3(x-6)=3x/4?
Explain your answer
Which expression represents the perimeter of the figure below? *
2x + 4 y
w + 2x + 4y
w + x + y
2w + 2x + 4y
Step-by-step explanation:
Perimeter of figure =
[tex]w + x + x + y + y + y + y \\ = 1 \times w + 2 \times x + 4 \times y \\ = w + 2x + 4y[/tex]
25 points. Need help
Answer:
BD = 21 units
Step-by-step explanation:
By applying mean ratio theorem in the given triangle ABC,
[tex]\frac{AD}{BD}=\frac{BD}{CD}[/tex]
AD × CD = BD²
21 × 21 = BD²
BD² = (21)²
BD = 21
Therefore, measure of segment BD is 21 units.
Pls help ASAP I DONT have time
Answer:
B: y = 3x + 6
A surveyor holds a laser range finder 3 feet above the ground and determines that the range finder is 92 feet from a building and 106 feet from the top of the building. What is the height h of the building? Round your answer to the nearest tenth.
Answer:
55.64
Step-by-step explanation:
The range finder is 92 feet from the building and 106 feet from the top of the building i.e. hypotheses
We will use the Pythagorean theorem:
x^2 = 106^2 - 92^2
= 11,236 - 8,464
= 2,772
= √2,772
x = 52.64978632
The height of the building:
h = x + 3
= 52.64978632 + 3
= 55.64978632
or
≈ 55.64 feet
Step-by-step explanation:
the answer to the nearest is 55.64
Simplify 15.6 divided by negative 3..
Answer:
-5.2
Step-by-step explanation:
15.6 ÷ (-3) = -5.2
Find the derivative of
y= 1/(3x^3)
Answer:
[tex]\displaystyle y' = \frac{-1}{x^4}[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle y = \frac{1}{3x^3}[/tex]
Step 2: Differentiate
Rewrite: [tex]\displaystyle y = \frac{x^{-3}}{3}[/tex]Derivative Property [Multiplied Constant]: [tex]\displaystyle y' = \frac{1}{3} \frac{d}{dx}[x^{-3}][/tex]Basic Power Rule: [tex]\displaystyle y' = \frac{1}{3}(-3x^{-4})[/tex]Simplify: [tex]\displaystyle y' = \frac{-1}{x^4}[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
Which addition does the model below represent?
+
+
+
+
OOO
8+(-3)
2+(-3)
5+3
5+(-3)
Answer:
5 + (-3)
Step-by-step explanation:
there are 5 positives and 3 negatives
so when you add them together you get 5 + (-3)
Kara's playlist has three songs: • "Each Day" (3 minutes) • "Best Friends" (3 minutes) • "This Weekend" (2 minutes) How many times can Kara listen to her entire playlist during a 35-minute car ride?
Answer:
4 times
Step-by-step explanation:
3+3+2=8
8*4=32
She can listen to part of her playlist in those extra three minutes, but the question asks for the ENTIRE PLAYLIST
PLEASE HELP ME ASAP AND PLEASE DONT GUESS!!
Answer:
the 3rd one is the answer .
Step-by-step explanation:
Hope it was helpful .
3 drinks and 2 hot dog costs 7.70 and 2 drinks and one hot dog is 4.55 system of equation on drink and one hot dog to the nearest cents
Answer:
Drink = 1.4
Hot dog = 1.75
x + y = 3.15
Step-by-step explanation:
Let drink = x ; hot dog = y
3x + 2y = 7.70 - - (1)
2x + y = 4.55 - - - (2)
From (2)
y = 4.55 - 2x - - - (3)
Put y = 4.55 - 2x in (1)
3x + 2(4.55 - 2x) = 7.70
3x + 9.1 - 4x = 7.70
-x = 7.7 - 9.1
-x = - 1.4
x = 1.4
Put x = 1.4 in (3)
y = 4.55 - 2(1.4)
y = 4.55 - 2.8
y = 1.75
Drink = 1.4
Hot dog = 1.75
x + y = 3.15
pls pleaase pls help marking brainlisr
Answer:
1
Step-by-step explanation:
53+2444= ??????? HELP I D K THE ANSWER
Answer:
2497
Step-by-step explanation:
Answer:
2497
Step-by-step explanation:
53 + 2444
= 0053 + 2444
= 2497
I need this done, please