Which is the vertex point of the equation y = (x - 1)2 - 16

Answers

Answer 1

Answer:

The vertex is at (h, k), which here is (1, -16).

Step-by-step explanation:

Compare the given y = (x - 1)2 - 16          (which should be y = (x - 1)^2 - 16 )

to                               y = (x - h)^2 - 16.

We can readily see that h = 1 and k = -16.

The vertex is at (h, k), which here is (1, -16).


Related Questions

a jug holds 2 cups of liquid. a recipe for fruit punch is 1/2 cups of orange juice. 1/4 cup of raspberry juice, 3/8 cups of grapefruit juice, and 5/8 cups of lemonade. the the jug big enough for the punch? explain

Answers

Yes the jug can hold the punch!

If you add up 1/2 + 1/4 + 3/8 + 5/8 you’ll end up with 1 and 3/4 cup so it is close to 2 cups but not quite there yet!

Hope this helps!

Find the area of the triangle. A right triangle has a base of 5 yards and a height of 2 yards.

Answers

Answer:

3

Step-by-step explanation:

24

Answer:

5×2=10

10/2=5

5yd2

mark brainliest pleaseeeeee

what is 7 - x + 8 its so hard lol​

Answers

The work for your question

it will be 15 hope i helped you

Which of the following equations has exactly one solution?

Answers

Answer:

A and B

Step-by-step explanation:

simplify both sides of the equation

add 4x to both sides subtract 3 from both sides. Divide both sides by 9 and that's it

If the equation given a unique and single value of variable after solving then the equation is said one solution equation.

The equation which has only one solution are,

[tex]5x+3=-2(2x+3)[/tex]

Thus, the option C is the correct option.

How to find one solution of equation?

If the equation given a unique and single value of variable after solving then the equation is said one solution equation.

Such equation gives exactly one solution.

Given information-

To find the equation we have to solve each equation one by one.

A)The equation given in the problem is,

[tex]-7x+2&=-3(x-3)-4x-7\\[/tex]

Solve it further,

[tex]-7x+2&=-3x+9-4x-7\\-7x+2&=-7x+2\\.\;\;\;\;\;\;\;\;\;\;\;0=0[/tex]

Thus this equation has no solution. Hence the option A is the incorrect option.

B)The equation given in the problem is,

[tex]14x&=7(2x+2)[/tex]

Solve it further,

[tex]14x&=14x+14\\.\;\;\;0=14[/tex]

Thus this equation has no solution. Hence the option B is the incorrect option.

C)The equation given in the problem is,

[tex]5x+3=-2(2x+3)[/tex]

Solve it further,

[tex]5x+3=-(4x+6)\\5x+3=-4x-6[/tex]

Bring the same variable terms one side.

[tex]5x+4x=-6-3\\9x=-9\\x=-1[/tex]

As the expression of equation gives the value of variable which is -1.Thus this equation has one solution.

Hence the option C is the correct option.

D)The equation given in the problem is,

[tex]3(4x+2)-9=12x-3[/tex]

Solve it further,

[tex]12x+6-9=12x-3\\2x-3=12x-3\\.\;\;\;\;\;\;\;0=0[/tex]

Thus, this equation does not has one solution.

Hence the option D is the incorrect option.

Hence the equation which has only one solution are,

[tex]5x+3=-2(2x+3)[/tex]

Thus, the option C is the correct option.

Learn more about the solution of equation here;

https://brainly.com/question/21283540

a system of equations is shown below 7x + 3y= 22. 3x - 3y =18 what is the solution to the system of equations​

Answers

4,-2

distribute and combine like terms

Answer:

(4, -2)

Step-by-step explanation:

7x+3y= 22

3x-3y= 18

Add them in vertical columns. 7x + 3x = 10x. The 3y and the -3y cancel each other out. 22+ 18 = 40.

You're left with 10x = 40. Solve for x by dividing both sides by 10

x = 4

Plug in 4 into any of the original equations and solve for y.

7(4) + 3y =22.

28 + 3y =22

Subtract 28 on both sides

You're let with 3y = -6. Solve for y by dividing both sides by 3

y= -2

Put it together in coordinate point form. (4, -2)

(HELP NEEDED ASAP Will give brainliest) What is the lateral surface area?
(all square inches)
80
86
60
92

Answers

the answer is 92 square inches

Answer:

80

Step-by-step explanation:

Area of latera = 3 bh = 10X3 +10x2.5 +2.5x10 = 30+25+25 = 80

b/c the 2 lines are equal

4(x+2)=4x+8 need help

Answers

Answer:

True

Step-by-step explanation:

Any value of x makes the equation true

All Real numbers

(-∞)(∞)

hi, how can i graph the equation,

10i + 16p = t

?? thanks

Answers

Graph using a few selected points
Asymptotes: y=x/4, y=-x/4
Graph is inserted below :)

find a single discount equivalent to two successive discount of 20% and 5%​

Answers

Answer:

Let the marked price =Rs100

After a discount of 20%, the price = 100−20% of100 = 100−10020×100 = 100−20=80

After a further discount of 5%, price = 80−5% of80 = 80−1005×80 = 80−4 = Rs76

Final Selling = Rs76

Total Discount = 100−76=Rs24

Thus, discount % = 10024×100 = 24%

Which expression can be used to find measure angle R

Answers

Answer:

cos-1(-4/14)

Step-by-step explanation:

If

4.5=r

3.5=s

2=t

By law of cosines:

[tex]r^{2}=s^{2}+t^{2} -2st cosR\\\\CosR= \frac{r^{2} -s^{2} -t^{2} }{-2st} \\\\R=cos^{-1} (\frac{(4.5)^{2}-3.5^{2} -2^{2} }{-2(3.5)(2)} )\\R= cos^{-1} (-\frac{4}{14} )[/tex]

A blade of a windmill completes 1 rotation every 4 seconds. The outer end of the blade travels 600 feet in 1 rotation. What is the speed of the outer end of the blade in feet per minute?

NEED ANSWERS ASAP

Answers

Answer:

900 feet per minute

Step by step solution:

I did 60÷4 then it is 15 so 600*15 is 9000

Hope i am right...

what is the equation of this graph?

a) y=-1
b) x=-2

Answers

Answer:

a) y=-1

Step-by-step explanation:

Graph is intersecting y-axis at (0,-1)

So equation of the graph is y = - 1

What is the domain of the linear function below?

Y=6x+3

A. All negative numbers
B. All positive numbers
C. Integers only
D. All real numbers

Answers

D all real numbers.....

⚠️ ⚠️ ⚠️ PLEASE HELP ASAP!! THIS IS LATE! :(



Which answer best summarizes the state's responsibilities to the national government under the Articles of Confederation?


A. States had to pay taxes set by Congress and provide soldiers during war time.


B. States had to provide representatives to Congress but soldiers were sent only to state militaries.


C. States sent representatives to Congress and provided soldiers and some officers to protect the country.


D. States provided money in the form of taxes, sent representatives to Congress, and had to supply soldiers during war.

Answers

Answer:

i think the answer would be b

Step-by-step explanation:

sorry if i am wrong

Please help me best one gets brainlist and 5/5

Answers

Answer:

8

Step-by-step explanation:

Area π 1.5^2 = 7.07cm^2

Volume = 56.52 /7  = 8cm

So go for the 4th answer = 8

A telephone pole casts a 32-foot shadow, while a street sign next to the pole casts a 12-foot shadow. If the
telephone pole is 40 feet tall, what is the height of the street sign?
12

Answers

Answer: The height of street sign = 15

Step-by-step explanation:

At the same time, the angle made by the light on each object is the same.

Pole and street sign both standing vertical to the ground.

So triangle made by both of them are similar

The sides of similar triangles are proportional,

[tex]\dfrac{\text{height of street sign}}{\text{height of pole}}=\dfrac{\text{Length of the shadow made by street sign}}{\text{Length of the shadow made by pole}}\\\\\dfrac{\text{height of street sign}}{40}=\dfrac{12}{32}\\\\\text{height of street sign}=\dfrac{12}{32}\times40=15[/tex]

Hence, the height of street sign = 15

please help me i am begging you. its one question. I WILL GIVE BRAINLIEST!!!!!

Answers

Answer:

3og -5 “times (x)” 3

Step-by-step explanation:

(3og minus 5) times 3

I don’t have time to explain but I hope this helps, I’m in a rush rn I got to do something

pleas help meeeeeeeee !!

Answers

So for 9, to graph all you need to do is start at the origin (0,0) and go up 4 and over (right) 1.

Find the sum. Write your answer in standard form.
(7x +13) + (x3 + 4x2 – 8)

Answers

Answer:

. Simplify: (4x2 - 2x) - (-5x2 - 8x).

Solution:

(4x2 - 2x) - (-5x2 - 8x)

= 4x2 - 2x + 5x2 + 8x.

= 4x2 + 5x2 - 2x + 8x.

= 9x2 + 6x.

= 3x(3x + 2).

Answer: 3x(3x + 2) Step-by-step explanation:

The answer is 4x^2+10x+5

Help me please . . . . . . . . . . . . . Thanks

Answers

I believe the answer is -1

Need help math question worth 30 points help plzzzzzz

Answers

Answer:

c

Step-by-step explanation:

because the real awnser is 57/4 but simpfly

Answer:

C) [tex]14\frac{1}{4}[/tex]

explanation:

[tex]4\frac{5}{6} +4\frac{2}{3} +4\frac{3}{4} \\\\\frac{29}{6} +\frac{14}{3} +\frac{19}{4} \\\\\frac{58}{12} +\frac{56}{12} +\frac{57}{12} \\\\\frac{171}{12} \\\\14\frac{1}{4}[/tex]

Solve the system of equations by substitution.

x+y= 0
2x+3y= 3

A. (-3,3)
B. (3,-3)
C. (-1,1)
D. (1,-1)

Answers

the answer is A.
2 x -3 = -6
3 x 3 = 9
now add those up
-6+9=3

Answer:

the answer is Option A) ( -3, 3)

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

( -3, 3)

Simplify the following rational expression and express in expanded form.
6
m
2

5
m
y

y
2
12
m
+
2
y
=
12m+2y
6m
2
−5my−

Answers

Answer:

6m²-5my-12m

Step-by-step explanation:

dont get it oooo

Answer:

On khan Academy,

it is m-y/2

i need help please!
what fraction divided by 3 over 4 equals 1 over 6

Answers

Answer:

1/8

Step-by-step explanation:

1/8 ÷ 3/4

1/8 × 4/3

1/2 × 1/3 = 1/6

If you apply the changes below to the linear parent function ,f(x)=|x| over the x-axis what is the equation to the new function

Answers

Answer:

Answer: A. G(x)= ax=y= - f(x) is flip over x-axis. Therefore, f(x) =14x would become f(x) =-14x. Therefore, final transformed function f(x)=-14x is vertically stretch by a factor of 14 and flip over the x-axis.

Step-by-step explanation:

If 6 men build 150m wall how many needed to build 200m

Write the equation of the line in fully simplified slope-intercept form.
5
4
3
2
1
-12-11-10-9-8
5
5
1 2 3 4 5 6 7 8 9 10 11 12
3-2-2
-2
-3
- 4
-5
-6
-7
-8
= "
-10
-12

Answers

Answer:

y = - x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 6) and (x₂, y₂ ) = (6, 0) ← 2 points on the line

m = [tex]\frac{0-6}{6-0}[/tex] = [tex]\frac{-6}{6}[/tex] = - 1

The line crosses the y- axis at (0, 6 ) ⇒ c = 6

y = - x + 6 ← equation of line

not sure about these either...

Answers

5 is a and 6 is also a

The length of a rectangle is 1 yd more than twice the width, and the area of the rectangle is 45 yd2 . Find the dimensions of the rectangle. Length : Width :

Answers

Answer: length = 10 yards

Width = 4.5 yard

Step-by-step explanation:

Let the width be represented by x.

Since the length of a rectangle is 1 yd more than twice the width. This will be:

= (2 × x) + 1

= 2x+1

Area = 45

Note that length × breadth = Area

(2x + 1) × x = 45

2x² + x = 45

Equate the equation to 0

2x² + x - 45 = 0

2x² + 10x - 9x - 45 = 0

2x(x + 5) - 9(x + 5) = 0

(2x - 9) = 0

2x = 9

x = 9/2

The width is 4.5 yard

Length = 2x + 1

= 2(4.5) + 1

= 9 + 1

= 10 yard

Will give brainliest!

Answers

Answer:

Step-by-step explanation:

multiply 0.83 by 0.06 = 0.0498

multiply 0.17 by 0.52 and add that to the first one

which gives you the prob of winning of 0.1382

Margaret owns (5/6) of a section of land. She planted corn on (1/4) of her land. What fraction of the entire section is planted with Margaret’s corn?

Answers

Answer:

3/5

Step-by-step explanation:

subtract the fractions then turn the decimal into a fraction.

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