The vertex form of the equation of a parabola is y= 2(x + 4)2- 21.
What is the standard form of the equation?
O A. y = 2x2 + 12x+17
O B. y = 4x2 + 4x + 9
O c. x = 2y2 + 5y + 17
O D. y = 2x2 + 16x+11
Answer:
D. y = 2x2 + 16x+11
Step-by-step explanation:
this is the correct answer, the person above me is incorrect!!
ap ex :)
The standard form of the equation y = 2x² + 16x 11. Then the correct option is D.
What is the parabola?The equation of a quadratic function, of vertex (h, k), is given by:
y = a(x – h)² + k
where a is the leading coefficient.
The vertex form of the equation of a parabola is y = 2(x + 4)² – 21.
Expand the equation, we have
y = 2(x + 4)² – 21
y = 2(x² + 16 + 8x) – 21
y = 2x² + 32 + 16x – 21
y = 2x² + 16x 11
Then the correct option is D.
More about the parabola link is given below.
https://brainly.com/question/8495504
#SPJ2
The total surface area of a right circular cone with the slant height 25cm is 704 sq. cm . Find the volume of the cone.
HELP PLEASE !!!
Answer:
area=πr√{h^2+r^2}
area=704cm^2, Height(h) =25cm
therefore,
by solving, πr√{h^2+r^2}=704cm^2
you will get value of r.
now, volume=πr^2×h/3
putting all values answer will come
Step-by-step explanation:
In the triangle below, what is the tangent of 60*?
Answer:
Step-by-step explanation:
We have 3 triangles here, all of them right triangles. The first one is the biggest one, triangle ABC. We know the side length AB = 14, and we know the hypotenuse length, BC = 30. We can use that, along with Pythagorean's Theorem, to solve for side length AC:
[tex]30^2=14^2+(AC)^2[/tex] and
[tex]900-196=(AC)^2[/tex] and
[tex]704=(AC)^2[/tex] so
[tex]AC=8\sqrt{11}[/tex]
We also have the smallest right triangle, triangle ABD, which has the base of x, our unknown. Side BD is our unknown, length x; side AD is the height, length y (also unknown); and side AB is the hypotenuse, length 14. We will come up with a system of equations for these 2 right triangles, using Pythagorean's Theorem, and then solve for x using substitution.
For the medium-sized triangle. triangle ADC, the hypotenuse is side AC with a measure of 8√11, the height is side AD length y, and the base is side DC length 30 - x. Putting those values into Pythagorean's Theorem:
[tex](30-x)^2+y^2=(8\sqrt{11})^2[/tex] and
[tex]900-60x+x^2+y^2=704[/tex] and
[tex]x^2-60x+y^2=-196[/tex]*** That's starred because it's important and we will come back to it.
The smallest triangle in Pythagorean's Theorem:
[tex]14^2=x^2+y^2[/tex] and solving that for y-squared:
[tex]y^2=196-x^2[/tex]. We will now sub that value for y-squared into the starred equation for y-squared and solve for x:
[tex]x^2-60x+196-x^2=-196[/tex] and
-60x = -392 so
x = 6.5
Question 18 of 112
Rocky paid $18378.00 cash and traded-in his old car for $5442.00
What was the price of his new car? (Use the keypad to enter your answer.)
Answer:
23820$
Step-by-step explanation:
A pool company is creating an image for a client that has the look of a 3-D image for a family pool and a similar dog pool. Find the value of x in the drawing below:
Answer:
x = 8
Step-by-step explanation:
==>Given that a family pool with a quadrilateral shape ABCD is similar with the dog pool EFGH, we can find the value of x by using the proportion of their corresponding sides.
Since ABCD ~ EFGH, the proportion of their corresponding sides are equal.
Thus, AB/EF = BC/FG = CD/GH = DA/HE
We have: 3/y = 4/3 = 5/z = x/6
Finding z:
4/3 = 5/z
Cross multiply
4*z = 5*3
4z = 15
z = 15/4
z = 3.75
Let's find x:
5/z = x/6
5/3.75 = x/6
Cross multiply
6*5 = x*3.75
30/3.75 = x
8 = x
x = 8
A drawer contains 60 pairs of socks. Each pair is one of four colors. What is the minimum number of socks that must be drawn, at random, from the drawer to ensure that a pair of matching-color socks is selected?
Answer:
its 5
Step-by-step explanation:
think about it, if you pick 4 socks, it cold be all four different colors but if its 5 then there has to be at least one pair of matching socks so the answer is 5
Evaluate g(x) = 1.873 -0.0034x +0.5 for x = 1 and x = 2.
Answer:
g(1) = 1.8696
g(2) = 1.8662
Step-by-step explanation:
Simply plug in the x values into the equation in a calc and you should get your answer.
Which of the following equations could be that of the ellipse graphed below?
Answer:
A
Step-by-step explanation:
f(x) = x^2. What is g(x)?
Answer:
Step-by-step explanation:
[tex]f(x) =x^2[/tex] is, in vertex form,
[tex]f(x)=(x-h)^2+k[/tex] where h and k, the vertex, is (0, 0). It is positive because it opens upwards.
g(x) opens downward, so we know that it is negative. Because it is DOWN 4 units from the origin, is has been moved down -4. Putting that together, we can determine that the equation for g(x) is
[tex]g(x)=-x^2-4[/tex], choice D in your list.
Answer:
D
Step-by-step explanation:
The opposite side of function f(x) is g(x). So -x².
The y-intercept is -4.
- x² - 4
i’m not able to solve this question
Speed of a cycle 15 km per hour to the speed of scooter 30 km per hour. find the ratio
Answer:
Cycle : Scooter = 15 : 30
or, Cycle : Scooter = 1 : 2
Step-by-step explanation:
Which of the following expressions is equivalent to b x b? A. 2b B.) b^2 C.)2^b D.)2b^2
Answer:
B
Step-by-step explanation:
because b x b is equals to b raised to the power of 2
The expression that is equivalent to b x b will be b².
For this question to be solved, you simply have to multiply the values given. In this case, you're multiplying the same value twice and this will simply be raised to the power of 2.
Therefore, based on the question asked, b × b will be:
= b × b
= b²
Therefore, the value of b × b is b².
Read related link on:
https://brainly.com/question/16687046
Which pair of points have equal x-coordinates
What is the following product? (2 sqrt 7 + 3 sqrt 6)(5 sqrt 2 + 4 sqrt 3
Answer:
[tex]10\sqrt{14} +8\sqrt{21} + 30\sqrt{3} +36\sqrt{2}\\[/tex]
Step-by-step explanation:
[tex](2\sqrt{7} + 3\sqrt{6} )(5\sqrt{2} +4\sqrt{3} )\\= 10\sqrt{14} +8\sqrt{21} + 15\sqrt{12} +12\sqrt{18} \\=10\sqrt{14} +8\sqrt{21} + 15\sqrt{4*3} +12\sqrt{9*2} \\= 10\sqrt{14} +8\sqrt{21} + 15*2\sqrt{3} +12*3\sqrt{2} \\=10\sqrt{14} +8\sqrt{21} + 30\sqrt{3} +36\sqrt{2} \\\\[/tex]
Hope this helps!
Answer:
(2√7 + 3√6) x (5√2 + 4√3)
Multiply the parentheses
= 10√14 + 8√21 + 15√12 + 12√18
= 10√14 + 8√21 + 30√3 + 12√18
Please answer this function !!!
Answer:
f(6)=-114Solution,
[tex]f(x) = - 4 {x}^{2} + 5x \\ f(6) = - 4 \times {6}^{2} + 5 \times 6 \\ \: \: \: \: \: \: = - 4 \times 36 + 30 \\ \: \: \: = - 144 + 30 \\ \: \: \: - 114[/tex]
hope this helps.
Good luck on your assignment..
Answer:
-114
Step-by-step explanation:
To find f(6), you need to plug in the value in parentheses wherever there is an x in the equation.
f(x) = -4x + 5x
f(6) = -4(6) + 5(6)
f(6) = -4(36) + 30
f(6) = -144 + 30
f(6) = -114
The answer is -114.
PLEASE ANSWER ASAP FOR BRAINLIEST
Answer:
C: 180 degrees
Step-by-step explanation:
Note that it got flipped across the origin, so it is 180 degrees.
Answer:
180 degrees.........
−6x + 3y = 18 4x − 3y = 6 is this infinite solution
Answer:
no
Step-by-step explanation:
Given the 2 equations
- 6x + 3y = 18 → (1)
4x - 3y = 6 → (2)
Adding the 2 equations term by term eliminates the y- term , that is
- 2x = 24 ( divide both sides by - 2 )
x = - 12
Substitute x = - 12 into either of the 2 equations and solve for y
Substituting into (2)
4(- 12) - 3y = 6
- 48 - 3y = 6 ( add 48 to both sides )
- 3y = 54 ( divide both sides by - 3 )
y = - 18
There is 1 solution (- 12, - 18 )
What does 8:8 equal?
Answer:
1
Step-by-step explanation:
8:8=1
Answer:
8:8 simplified is 1:1 or just 1 for short.
Please help meh lol.
Answer:111m^2
Step-by-step explanation:
Answer this ASAP please! Thanks!
Answer:
It is D.
Step-by-step explanation:
270 degrees counterclockwise is 90 degrees clockwise.
Select the two values of x that are roots of this equation.
2x-5=-3x^2
Answer:
A & D
Step-by-step explanation:
=> 3x²+2x-5 = 0
=> Using Mid-term Break Formula
=> 3x²-3x+5x-5 = 0
=> 3x(x-1)+5(x-1) = 0
=> (3x+5)(x-1) = 0
Either,
3x+5 = 0 OR x-1 = 0
x = [tex]-\frac{5}{3}[/tex] OR x = 1
Answer: x = 1 and x = 5/3
Step-by-step explanation:
calculate the surface area of an open cuboid which is 12 cm long,8cm wide,6cm high
Answer:
432 cm²
Step-by-step explanation:
To find the surface area of a cuboid, there is a formula.
2lw+2lh+2hw
Length is l, height is h, and width is w.
2(12)(8)+2(12)(6)+2(6)(8)
Multiply all the terms.
336+96
Add both the terms.
= 432
The surface area of the open cuboid is 432cm².
Answer:
432 cm²
Step-by-step explanation:
The formula.
2lw+2lh+2hw
Length is l, height is h, and width is w.
2(12)(8)+2(12)(6)+2(6)(8)
336+96
= 432
The surface area of the open cuboid is 432cm²
x intercept f(x)=(x+4)^2
Answer:
-4Step-by-step explanation:
Given the function f(x)=(x+4)², the x intercept occurs at f(x) = 0, substituting f(x) = 0 into the given equation to get the value of x we have;
[tex]0 = (x+4)^{2} \\[/tex]
Taking the square root of both sides
[tex]\sqrt{(x+4})^{2} = \sqrt{0}\\ x+4 = 0\\[/tex]
Subtracting 4 from both sides of the equation
[tex]x+4-4 = 0-4\\x = -4[/tex]
Therefore the x intercept of the equation is -4
Graph y≤−2/3x+6. PLEASE I NEED HELP!!!!:((
Answer:
First graph -2/3x+6 (Slope of -2/3)
(Y intercept of 6)
Then shade everything under that line
One number is 7 more than twice another. If their difference is 22, what is the larger number?
29
37
43
Answer:
Step-by-step explanation:
We'll write each one of these statements into an algebraic equation. The word "is" means "=", the words "more than" mean "+", and "difference" means subtraction. x will be one number, and y will be the other number. The first sentence, then, in an algebraic equation, is
x = 2y + 7
The second equation, then, is
x - y = 22
Since we know from the first equation what x is equal to, we will sub in what x equals into the second equation in place of x:
2y + 7 - y = 22 and
y + 7 = 22 so
y = 15.
Sub that in for y to solve for x:
x - 15 = 22 so
x = 37
Answer:
its 37
Step-by-step explanation:
$98.00 tent;40% discount Plz help
Answer:
$58.80
Step-by-step explanation:
Step 1: Multiply
98.00(0.4) = 39.20 <== This shows how much $ is taken off because of the discount
Step 2: Subtract
98.00 - 39.20 = $58.80
$39.20
Step-by-step explanation:
Start off by multiplying 98 with 0.40... Then you'll get your answer!!!!
ε = {x: 2 x 30, x is an integer}, M = {even numbers}, P = {prime numbers}, T = {odd numbers} Find: I) MUP ii) M - T iii) P(MT) iv) P’U(MT’)
Answer:
i hope this helps and its clear !
How many seconds are in a day? Use the following unit conversions: 60 sec = 1 min 1 hr = 60 min 24 hr = 1 day A 150 B 1,440 C 3,600 D 86,400
Answer:
There are 86,400 seconds in a day. (Answer choice C)
Which of these numbers have exactly two factors 7 8 9 10
A B C D
Answer:
A. 7
Step-by-step explanation:
If a number has exactly two factors, 1 and itself, the number is a prime number. The only prime number below is 77= 1*7
8= 1*8= 2*4
9= 1*9= 3*3
10= 1*10= 2*5
For what values (cases) of the variables the expression does not exist: a/a-b
Answer:
The cases are when a-b = 0 and when a = b
Step-by-step explanation:
An expression is termed as undefined (not to exist) if the denominator of the expression is zero. Given the expression a/a-b, the denominator of the expression is a-b. For the expression to be undefined, the expression at the denominator must be equal to zero i.e a-b = 0
If a - b = 0, then a = 0+b; a = b
Another case for the function not to exist is if a = b