What is the standard form of the parabola whose vertex form is y= 2(x+4)^2+5
A. y = 2x2 +16x - 37
B. y=-2x² + 4x - 25
C. y = 2x° +16x +37
D. y = 2x² + 4x - 25

Answers

Answer 1

[tex]y = 2(x+4)^2+5\implies y = 2(x+4)(x+4)+5 \\\\\\ y = 2(\stackrel{\mathbb{USING~FOIL}}{x^2+8x+16})+5\implies y= 2x^2+16x+32+5 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill y = 2x^2+16x+37~\hfill[/tex]


Related Questions

State the postulate or theorem you would use to prove each pair of triangles congruent.
a) SSS
b) SAS
c) ASA
d) AAS
e) HL
f) Not possible

Answers

Answer:

  c) ASA

Step-by-step explanation:

Angles at either end of the shared line segment are marked congruent, so the triangles can be shown to be congruent using the ASA postulate. (The shared segment is congruent to itself.)

Which graph represents the function?

Answers

Answer:

I believe it's the middle graph. since their is a closed dot on the first line and the other 2 inequality symbols indicate that their are 2 open dots, I think the middle is correct

Can anybody help me with this pls?
a plane intersects the coordinate axes at the point (2,0,0), (0,3,0) and (0.0.4) the obteined point is ax+by+cz+d, find value of d

Answers

Answer:

  d = 12

Step-by-step explanation:

In intercept form, the equation of the plane is ...

  x/a +y/b +z/c = 1 . . . . . for x, y, z intercepts a, b, c

You have (a, b, c) = (2, 3, 4), so the equation of the plane is ...

  x/2 +y/3 +z/4 = 1

Multiplying by 12 gets rid of the fractions and puts the equation in standard form:

  6a +4y +3z = 12

The value of d is 12.

Please help me! The width of a rectangle is 7y-3.5 feet and the length is 3.5y+10 feet. Find the perimeter of the rectangle

Answers

Answer:

7y-3.5+7y-3.5+3.5y+10+3.5y+10

Step-by-step explanation:

21y+13

pls brainliest

The function h(t) = -16t2 + vt + 10 gives the height of a platform diver above the water, in teet, t seconds
after the diver leaves the platform with an initial velocity, w, in feet per second,

Answers

You can download the answer at both/…. Are kahoo

The angle of elevation to a nearby tree from a point on the ground is
measured to be 38°. How tall is the tree if the point on the ground is 77 feet from the tree? Round your answer to the nearest tenth of a foot if necessary.

Answers

Answer:

Step-by-step explanation:

tan 38 = opp/adj = h/77

h = 77tan38

h = 60.1589932...

h = 60.2 ft

What is the change in elevation for
(3)(4)(-3.5)

Answers

Hey there!

(3)(4)(-3.5)

= 12(-3.5)

= -42

Therefore, your answer SHOULD be: -42

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Write each quotient as a single power.

Answers

[tex]a)\frac{-3^4}{3^4} = -3^{4-4} = -1[/tex]

[tex]b)\frac{(-9)^{10}}{(-9)^5} = (-9)^{10-5}= (-9)^5[/tex]

[tex]c)\frac{11^9}{11^6} = 11^{9-6} =11^3[/tex]

ok done. Thank to me :>

What is equivalent to 6x=3+4=5+3x+4?

Answers

Answer: Can I see an image of the word problem?

Am stuck on this question, please help:
5 to the power of 11

Answers

I believe it’s 48828125

Which of the following is an example of a ratio variable?

A-Martha is the same gender as Ruth

B-Mary's IQ is 115 and Janet's is a 90, which means Mary's IQ is slightly higher than Janet's

C-Sam is twice the age of his son

D-George and Harry attend religious services about the same amount

Answers

I think c so like it would be Sam age=2x and let’s say is son was 16 he would be 32

i borrowed 500 rupess from each of my two friends 250+250 = 500 i bought a shirt of 450 that is 500-450= 50 i lost 30 rupees that is 50-30 = 20 i returned 10 rupees to my one friend and 10 rupees to the other to whom i borrowed 250 and 250 now as i gave them 10 and 10 back now i owe them 240 and 240 if we calculate 240+240= 480+30 that i lost equals to 240+240+30 = 510 when i borrowed only 500 where from these 10 rupees came..​

Answers

Do it yourself because I am not going to help you

PLEASE HELP ME I'M GIVING OUT LOTS OF POINTS!!

Answers

Answer:

  (d)  a1 = 11

Step-by-step explanation:

Put the numbers in the given formula and solve for a1.

  a5 = 176 = a1(r^(5-1)) = a1·r^4

  a7 = 704 = a1(r^(7-1)) = a1·r^6

Dividing a7 by a5 gives ...

  a7/a5 = (a1·r^6)/(a1·r^4) = r^2 = 704/176 = 4

Then a1 is ...

  a1 = a5/(r^4) = 176/(r²)² = 176/(4²) = 11

The first term is 11.

Hi, mal :> hehehe

( its [tex]a_{1} = -11[/tex])

Your welcome..... ;]

Identify the two statements that contradict each other.
1. AABC is an acute triangle.
II. A, B, and C are coplanar.
III. B is the midpoint of AC.

Answers

Ooofff this is hard I might learn it next year

help pls


Tom, Lisa, and Jane are competing in a cooking competition. They all used different amounts of sugar from a can containing 4 pounds of sugar.

Tom used 13% of the total sugar in the can.
Lisa used 0.6 pound of the total sugar in the can.
Jane used 0.12 of the total sugar in the can.
Who used the greatest amount of sugar from the can? Show your work and explain your answer in words.

Answers

4 x .13 = .52lbs
4 x .6 = 2.4lbs
4 x .12= .48lbs

Find the length of the third side of the right triangle.
The length of the third side is ____
(Simplify your answer. Type an exact answer, using radicals as needed.)

Answers

Answer:

15

Step-by-step explanation:

17 squared minus 8 squared it is the pythagorean theorem but backwards. c squared minus b squared equals a squared. in this case a is b. 17 times 17 is 289 and then subtract 8 squared or 64 to get 225. then we need to find the squared root of 225 which is 15 and this is the answer

What is the product of y and 10

Answers

Answer:

10y

Step-by-step explanation:

product means to multiply so you would multiply y and 10 so the options would be

10y

y x 10

Which represents the inverse of the function f(x) = 4x?
Oh(x) =x+4
O h(x) =x-4
O h(x) = 3/4x
O h(x) = =1/2x

Answers

Answer:

h(x) = 1/2x

f(x) = 4x 4x/2=2x

So,h(x) = 1/2x

The  inverse of the function of f(x) = 4x is h(x) = x/4

Inverse of the function

Since f(x) = 4x, to obtain its inverse, we write f(x) = y

So, y = 4x.

We now divide both sides by 4. so, we have

y/4 = 4x/4

y/4 = x

Next, we replace x with y. So,

y/4 = x

x/4 = y

Next, we now replace y with f⁻¹(x) which is the inverse of f(x).

So, y = x/4

f⁻¹(x) = x/4

Since  f⁻¹(x) = h(x), replacing these, we have

h(x) = x/4

So, the  inverse of the function of f(x) = 4x is h(x) = x/4

Learn more about inverse of a function here:

https://brainly.com/question/10219387

Point P(5,0) is on the terminal arm of an angle k in standard position.
Determine the value of cosk.

Answers

The value of the cosine of angle [tex]k[/tex] is 1.

Given a point [tex](x,y)[/tex] that is a terminal arm of an angle [tex]k[/tex] in standard position, by trigonometric relations we have the following expression for the cosine:

[tex]\cos k = \frac{x}{\sqrt{x^{2}+y^{2}}}[/tex] (1)

Where:

[tex]k[/tex] - Angle measure, in sexagesimal degrees.[tex]x[/tex] - Horizontal position of the point of the terminal arm, no unit.[tex]y[/tex] - Vertical position of the point of the terminal arm, no unit.

If we know that [tex]x = 5[/tex] and [tex]y = 0[/tex], then the cosine of the angle [tex]k[/tex] is:

[tex]\cos k = \frac{5}{\sqrt{5^{2}+0^{2}}}[/tex]

[tex]\cos k = 1[/tex]

The value of the cosine of angle [tex]k[/tex] is 1.

To learn more on trigonometric relations, we kindly invite to check this verified question: https://brainly.com/question/6904750

Simplify. Solve as fast as possible.

Answers

Answer:

-5y

Step-by-step explanation:

[tex]\sqrt{y^2}[/tex] = y if x > 0

-5[tex]\sqrt{y^2}[/tex] = -5y

What is the equation for the graph shown?

Answers

Answer: y=2/3x+4

Step-by-step explanation:

this will be written out in y=mx+b form. M stands for the slope, and b stands for the y-intercept, or where the line intersects with the y-axis.

going left to right, the line slopes upward, therefore it is a positive slope. This means that the “m” part of the equation will be a positive number. When finding the slope, we use rise over run. On your graph, if you take one point and rise 2, then run right 3, you will find another point! We have now found that the slope is 2/3x.

let’s plug this into our equation. Y=2/3x +b

lastly, we find the y-intercept. This is simply where the line intersects with the y-axis. In this case, it is positive 4. So the y-intercept is 4.

our final equation is: y=2/3x +4

i hope this is helpful.

What is the measure of _XYZ?
X
172
y
O A. 17°
V.
O B. 72°
55°
O C. 55°
w
D. 360

Answers

Answer: 35°

Step-by-step explanation: We have to find the measure of angle XYZ. We know, the angle subtended at the center is the average of the measure of arc intercepted by its angle and its vertical angles. Therefore, the value of ∠XYZ = 35°.

I hope this helps!

-Notsonerdy

can you guys help me plz

Answers

Answer:

1) x>1

2) x<6

3) x>34

4) x>-4

5) x<2

6) x>-36

7) x<=4

8) x>-2

9) x>=2

10) x>14

Convert 39/4 into a mixed number.

Answers

Answer: The answer is 9 3/4.

Step-by-step explanation: When converting an improper fraction to a mixed number, the first step to take is figure out how many times the denominator goes into the numerator. The number 4 goes into 39

9 times(4 x 9 = 36). The remainder 3 becomes the numerator of the denominator 4, therefore 39/4 converted to a mixed number is 9 3/4.

Answer:

9 3/4

Step-by-step explanation:

Is it true that Confidence intervals are always close to their true population values?

Answers

Answer:

This means that there is a 95% probability that the confidence interval will contain the true population mean. Thus, P( [sample mean] - margin of error < μ < [sample mean] + margin of error) = 0.95.

100 POINTS AND BRANIEST
3) Compare the two groups of data. Which BEST describes data? A) on average boys are 3 centimeters taller than girls B) on average boys are 6 centimeters taller than girls C) on average boys are 9 centimeters taller than girls D) on average boys are 12 centimeters taller than girls

Answers

B

Step-by-step explanation:

calculate how long the lines are

Answer:

A 3-column table with 4 rows. Column 1 is labeled Number of Girls with entries 2, 8, 0, 4. Column 2 is labeled Height in Inches with entries 51, 52, 53, 54. Column 3 is labeled Total Height with entries 102, 416, 0, 216. The national average height for girls in the sixth grade is also 52 inches. Find the average height of the girls in this class. The total number of girls is . The total height of the girls is inches. The expression to find the mean is . The average height of the girls in this class is inches.

Step-by-step explanation:

mark me brainliest ok

which statement correctly compares two value?
The value of the 5 in 50.89 is 1/10 the value of the 5 in 261.58.
The value of the 5 in 50.89 is 10 times the value of the 5 in 261.58.
The value of the 5 in 50.89 is 1/100 the value of the 6 261.58.
The value of the 5 in 50.89 is 100 times the value of the 5 in 261.58

Answers

Answer:

The value of the 5 in 50.89 is 100 times the value of the 5 in 261.58

Step-by-step explanation:

The 5 in 50.89 is in the 10's place

The 5 in 261.58 is in the 1/10's place

1/10(100) = 10

A BCC professor decides to grade his class as following: 20 percent for homework assignments, 10 percent for quizzes, 25 percent for a midterm, and 45 percent for the final exam. A student receives 90 for homework, 95 for the quizzes, 85 for the midterm and 84 for the final exam. What will be the student’s class grade?
Class grade: ?

Answers

Answer:

86.55%

Step-by-step explanation:

Basically what you would do is take each percentage and turn it into decimal percent. after that, you multiply it with the respective numbers, like:

90 × 0.20= 18

95 × 0.10= 9.5

85 × 0.25= 21.25

84 × 0.45= 37.8

Adding these numbers together, you could get 86.55, or 86.55%.

What are the prime numbers out of 4 5 6 7 8 9 ?

Answers

5 and 7

those are the prime numbers

Which relation is also a function? {(2,0), (3,2), (2,3)} {(0,0), (3,0), (5,0)} {(3,1), (3,2), (3,3)} {(5,2), (5,4), (2,6)}

Answers

Answer:

only{(0,0), (3,0), (5,0)}    (the x axis)

Step-by-step explanation:

as all the others have more than one possible output y for a unique input x

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