Answer:
[tex]y-1/2=2(x+7/2)^2[/tex]
Step-by-step explanation:
Equation of the Quadratic Function
The vertex form of the quadratic function has the following equation:
[tex]y-k=a(x-h)^2[/tex]
Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.
The given function is:
[tex]y=(x+3)^2+(x+4)^2[/tex]
Expanding the squares:
[tex]y=x^2+6x+9+x^2+8x+16[/tex]
Simplifying:
[tex]y=2x^2+14x+25[/tex]
Factoring 2 from the first two terms:
[tex]y=2(x^2+7x)+25[/tex]
The expression in parentheses must be completed to form the square of a binomial:
[tex]y=2(x^2+7x+49/4-49/4)+25[/tex]
Isolating the square of the binomial:
[tex]y=2(x^2+7x+49/4)-49/2+25[/tex]
Operating and Factoring:
[tex]y=2(x+7/2)^2+1/2[/tex]
Rearranging:
[tex]\boxed{y-1/2=2(x+7/2)^2}[/tex]
Comparing with the vertex form:
a=2, h=-7/2, k=1/2
What fraction of an hour is 4 minutes? Give your answer in its simplest form.
Answer:
An hour is 60 minutes.
And according to question we have to find the simplest form of 60/4
4/60
= 1/15
So the fraction is 1/15
The children became Americanized much faster than their parents. Often this caused painful conflicts in immigrant families. A gap appeared between the children and their parents. The parents clung to Old World customs and beliefs. The kids spoke English all day with their friends. They thought in American terms. More than anything else, they wanted to be accepted as equals in their adopted land.
Which other detail best supports the idea that children became comfortable in America more quickly than their parents?
When they left school, they looked, talked, and acted just like other American kids.
During hard times, kids had to drop out of school early. In the days before World War I, it was an accomplishment to finish grammar school.
Many kids went directly from grammar school to special vocational schools sponsored by private agencies. . . .
Students were also instructed in the fundamentals of health, hygiene, and personal grooming.
The right answer is Many kids went directly from grammar school to special vocational schools sponsored by private agencies. . .
I hope it helps :)
Answer:
the answer is C
Step-by-step explanation:
Hope this helped!! :)
Can I get brainliest i need it to level up:)
£880 is divided between Pip, Sara & Gordon so that Pip gets twice as much as Sara, and Sara gets three times as much as Gordon. How much does Sara get?
I don’t know how to work this out
Answer:
Assume Gordon got X dollar
Then
sara got = 3*x= 3x
Pip got = 2*3x= 6x
Now,
x + 3x + 6x = 880
10x =880
x= 88
Sara got = 3x = 3*88 = 264
Step-by-step explanation:
What is 2/3 of 7/8?
What is 2/3 of 7/8?
Answer:
0.58
Step-by-step explanation:
Solve for n. 3(n+5)≥3n+8
Answer:
True for all N
Step-by-step explanation:
Answer:
True for all N :)
Step-by-step explanation:
boy a and boy b are pushing a heavy table in the west direction at the same time with 10 units of force each.what is the net force acting on the object ?in which direction the table will move?
Answer:
20 n
Step-by-step explanation:
as both are exerting force on the same side i.e. to the west side with 10 N each the total net force is 10+10=20N and the table will move to the west side....
Thank you
The net force acting on the object will be 20 units and the direction will be the same as the direction of force applied.
What is gravitational force?All mass-bearing objects are attracted by gravitational force. Because it consistently attempts to bring masses together rather than push them apart, the gravitational force is referred to as attractive.
As we know, the gravitational force is given by:
[tex]\rm F = \dfrac{Gm_1m_2}{r^2}[/tex]
Where G is the gravitational constant.
m1 and m2 are masses.
r is the distance between the masses.
It is given that:
Boy 'a' and boy 'b' are pushing a heavy table in the west direction at the same time with 10 units of force each
The table will shift to the west side since both are applying 10 N of force to the same side, i.e., the west side, for a total net force of 10+10=20 N.
Total net force = 10 + 10 = 20 units
Thus, the net force acting on the object will be 20 units and the direction will be the same as the direction of force applied.
Learn more about the gravitational force here:
brainly.com/question/12528243
#SPJ2
LOTS OF POINTS
Find the Perimeter of the figure below, composed of a parallelogram and one semicircle. Rounded to the nearest tenths place
please don't answer if you are wrong
Answer:
38.3
Step-by-step explanation:
The perimeter of the figure can be broken down into the perimeter of 3 sides of the parallelogram, and the perimeter of the semicircle (without its diameter).
The three sides of the parallelogram would be 14+14+4=32.
The perimeter of the semicircle would be 1/2*diameter*pi, which is about 1/2*4*3.14=6.28.
Therefore, the perimeter is 32+6.28=38.3 (to the nearest tenths).
explain why a scale of 1/2 inch to 1 foot is equivalent to a scale of 1:24
Answer:Becauss it turns into a whole number and 1:24 is what u need to get to the whole
Step-by-step explanation:
Here is a five-sided polygon. Show how you could use area-reasoning strategies—decomposing, rearranging, enclosing with a shape, etc.—to find the area of the polygon. (You only need to describe or show how the area could be found; it is not necessary to actually calculate the area.)
Answer:
i can explain it to you if u want
Step-by-step explanation:
Divide the polygon into 5 triangles by using each side as a base and joining the vertices of the polygon to a common point (for example, the centre). If the polygon is regular the angle at the vertex of each triangle is 360/5=72 degrees, so you have 5 isosceles triangles of equal area. Find the area of one and multiply by 5 to get the total area.multiply 5 times the lenght of oneside
NEED YOU GUYS HELP AGAIN!!
Answer:
20 lbs cost $10
Step-by-step explanation:
36 lbs= $180
x = $10
Let's use the cross method
36*10 = 180x
360 = 180x
360/180 = 180x/180
20= x
20 lbs cost $10
I know, I was also shocked with the answer but trust me :) I checked the answer. Hope this helps!
X^2+6x+3=0
Solve the equation by completing the square
Answer:
x= 5.45 or -5.45
143 dollars is divided in the ratio 2:3:6 calculate the share
Answer:
The first share is 26 dollars, the second share is 39 dollars and the last share is 78 dollars.
Step-by-step explanation:
So here is how you do this:
Whole = 2+3+6
= 11
Step 2:
first share = 2/11 multiplied by 143/1
= 143 divided by 11
= 13
= 13 multiplied by 2
= 26
Answer for the first share is 26 dollars
Step 3:
second share = 3/11 multiplied by 143/1
= 143 divided by 11
= 13
= 13 multiplied by 3
= 39
Answer for the second share is 39 dollars
Step 4:
third share = 6/11 multiplied by 143/1
= 143 divided by 11
= 13
= 13 multiplied by 6
= 78
Answer for third share is 78 dollars
HURRY PLZ IM ON A TIME LIMIT!!!!
Answer:
23°
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)
Solve for m in the following equation:
x= 3k(n + m)
-6.3 ⋅ 5=?
answer plz
Answer:
Answer
Step-by-step explanation:
-6.3*5= -31.5
Answer:
-31.5
Step-by-step explanation:
multiplication, when there's one negative sign during multiplication just make the answer negative
The solutions to the equation 2x + x-1 = 2 are * =
2 or X=
BERE
X=1, if thats what you want.
3/8 divided 3 2/3 Please help! :(
Answer:
Answer is 1/12. Hope that helped
Plz help I will mark you brainliest, also give an explanation if you can so I understand
Answer:
D
Step-by-step explanation:
[tex]{a}^{2} + {b}^{2} = {c}^{2} [/tex]
[tex] {27}^{2} + {36}^{2} = 2025 \\ {45}^{2} = 2025[/tex]
For f(x) = (x-2)2 Find f(-2)
What is the value of xy/z if x = 1, y = -10 and z = 2?
Answer:
-5
Step-by-step explanation:
Hope this helps
Answer:
1*-10/2=-5
Step-by-step explanation:
\div 2 = - 5| 1times - 10 \div 5 \\ - 10
Find the slope of the line: y = -5x - 1
A
m = -5/1
B
m = -1/5
Answer:
Slope: -5/1
Step-by-step explanation:
The slope is always the coefficient of x in y=mx+b, so m is -5 (you don't reverse it)
Answer: A) m = -5/1
Step-by-step explanation: The format of slope intercept form is y=mx+b , therefore M= -5/1.
Mary has 5 stamps and buys 150 stamps each week. Nick has no stamps and buy 2 stamps each week. when will Mary have more stamps than Nick
Answer:
She already does have more than Nick!
Step-by-step explanation:
The difference of twice a number and 2 is less than -24.
Answer:
x < -11
Step-by-step explanation:
Let x be the number
2x - 2 < -24Add 2 to each side, so it now looks like this: 2x < -22Divide each side by 2 to cancel out the 2 next to x. It should now look like this: x < -11I hope this helps!
A number t times 6.
Answer:
6t
Step-by-step explanation:
t times 6 = t*6, which can be written as 6t (usually numbers go before the variables)
using quadratics, find the value of x.
Answer:
(x+1)+(3x+1)+(2x+4)=180 (sum od all sode of a triangle is 180)
x+1+3x+1+2x+4=180
6x+6=180
6x=180-6
x=174/6
x=66
Answer:
x = 4
Step-by-step explanation:
Using Pythagoras' identity on the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
(3x + 1)² = (x + 1)² + (2x + 4)² ← expand all factors using FOIL
9x² + 6x + 1 = x² + 2x + 1 + 4x² + 16x + 16 , simplify right side
9x² + 6x + 1 = 5x² + 18x + 17 ( subtract 5x² + 18x + 17 from both sides )
4x² - 12x - 16 = 0 ( divide through by 4 )
x² - 3x - 4 = 0 ← in standard form
(x - 4)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x + 1 = 0 ⇒ x = - 1
However, x > 0 thus x = 4
Someone help it’s due in some time???????
The scale of dilation is the number that you multiply one side of the original triangle to get its corresponding side on the new triangle. In this case, it can be seen that AB corresponds to A'B', and so you divide A'B' by AB (6 divided by 4) to find that the scale factor is 6/4, or 3/2. If you do this with any of the other sides you will get the same answer.
Answer:
If you do this with any of the other sides you will get the same answer.
Step-by-step explanation:
6/4
A'B' by AB
6/4 or 3/2.
Scale factor
idk idk.. help please
Answer:
c = √58
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
Because we have a right triangle, we can use the Pythagorean Theorem to help us solve for missing side lengths:
7² + 3² = c²
49 + 9 = c²
58 = c²
c = √58
Answer: c = √58
Step-by-step explanation:
Can someone help me with this problem
Answer:
H and N
Step-by-step explanation:
Which of the following are mathematical sentences?
Check all that apply.
A. 6
OB. 4 - d = 8
O C. 3 + 2 = 5
D. 1 < 2
O E. 59
O F. 4-V
SUBMIT
(10,5),(-8,9)
What the slope for this?
Answer:
2 /-9
Step-by-step explanation: