Mathematics High School

given the expression -x^2-6x+7,when expressed in form a(x+h)^2+k, the value of k is?​

Answers

Answer 1

Answer: k = 16

Step-by-step explanation:

The equation is written in the form:

y = ax^2 + bx + c

y = -x^2 - 6x + 7

y = a(x - h)^2 + k where (h, k) is the vertex

a = -1 (from the original equation)

h = -b/2a (this is the equation for the line of symmetry or the x-value of the vertex)

h = -(-6)/2(-1) = 6/-2 = -3

when x = -3, y = ?

y = -(-3)^2 - 6(-3) + 7

y = -(9) + 18 + 7

y = -9 + 18 + 7

y = 16

(-3, 16) is the vertex

Since k is the y-value of the vertex, k = 16

I'll just take it a step further and write the whole equation:

Substitute all the values we found

-1(x +3)^2 + 16

-(x + 3)^2 + 16

Related Questions

99 POINTS- will mark branliesttt In each of the following graphs, the two given polygons are similar. Write precisely a single dilation (coordinates of center and coefficient) by which the image (labeled with primed letters) was obtained.

Answers

Answer:

(-1,-4) and the coefficient is 3/2

Step-by-step explanation:

I am smart!!

Answer:

(-1, -4) coefficient 3/2

Step-by-step explanation:

the center of the shapes is (-1, -4) and the coefficient is 3/2 because the red shape is 3/2 times bigger than the black shape

25. If the number 39 is included in the following data 19, 21, 25, 36, 30, 19,
which of the measure of variability will not be affected?
A) median
B) mode
C) range
D) mean

Answers

It should be range your welcome

Which equation represents the graph?

Answers

Answer:

the last one

Step-by-step explanation:

the answer is d which it's the last one

Answer:

A.

Step-by-step explanation:

got it on edge assignment

Write ways to represent the fraction 10/9.

Answers

Answer:

mixed number form 1 1/9

decimal form 1.11111111111111 it goes on forever

percent form 111.111111111111% it goes on forever (again)

Step-by-step explanation:

i hope that helps!

Answer:

1  1/9

Step-by-step explanation:

10/9, you get 1 as the whole number.

You have a 1 left over when dividing 10 and 9. the 1 will be over 9.

Giving you 1 as the whole number and 1/9 next to it.

Savannah and Shea both collect stamps. Savannah has
5 more stamps in her collection than Shea has. Write an
expression to represent the total number of stamps
they have.

Answers

2x+5 ? Sheas number can be x. Savannahs can be x+5 as she has 5 more than Shea. Meaning altogether x+x+5 is 2x+5

Answer:

Step-by-step explanation:

t=s+(s+5)

t=s+s+5

t=2s+5

What is the slope of the line passing through
(4,56) and (5,70)

Answers

Answer:

14

Step-by-step explanation:

Use rise over run, (y2 - y1) / (x2 - x1)

Plug in the points and simplify:

(y2 - y1) / (x2 - x1)

(70 - 56) / (5 - 4)

14 / 1

= 14

So, the slope of the line is 14.

Answer:

m=14

Hope it helped if it did mark as brainliest!

PLS HELP ASAP! GIVING BRAINLY

ignore the highlighted answer

Answers

Answer:

the first one

35 (that symbol i cant find it on the computer) 5

35√5. If you solve 5√245 you get 78.26, and if you solve 38√5 you get 78.26, meaning they are equivalent.

What is 2.900001 + 2.4203102212

Answers

Answer: 5.320311

Step-by-step explanation: hope this helps!

Answer:

5.3203112212

Step-by-step explanation:

What is the equation in point-slope form of the line that passes through the points (2,-3) and (-5,8)?

Answers

Answer:

y+3=-11/7(x-2)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(8-(-3))/(-5-2)

m=(8+3)/-7

m=11/-7

y-y1=m(x-x1)

y-(-3)=-11/7(x-2)

y+3=-11/7(x-2)

pls help me 10 points

Answers

Answer:

1st one is cluster 2nd is outliers 3rd is neither and 4th is outliers.

Step-by-step explanation:

Math help/ battle !!

Answers

Answer:

The missing angle is 40 degrees

Step-by-step explanation:

Tan = opposite / adjacent

Tan ? = 24 / 29

24 / 29 = 0.8275

Tan-1 of 0.8275 is 39.610

Round to the nearest degree

39.610 = 40

Answer:

Step-by-step explanation:

Here you have a right triangle with the side lengths 24 and 29 and are asked to find the measure of the smallest angle.

In cases like this you should ask yourself which trig function includes the lengths of the legs (that is, the lengths of the side opposite the angle and the side adjacent to the angle).  That would be the tangent function, and so:

tan (?) = (opposite side) / (adjacent side)

Here, tan x = 24/29 = 0.691.  Note:  I used my TI-83Plus calculator to determine that the measure of angle x in radians is 0.691.

The unknown angle is 0.691 radians, or (multiplying that by the conversion factor (180/pi) ) 39.6 degrees.  To the nearest degree, that'd be 40 degrees.

Are the lines parallel, perpendicular, or neither show work cause I need to understand this

Answers

Answer:

Niether

Step-by-step explanation:

the slopes arent opposite so they arent perpendicular, they arent the same so they arent parallel. they are niether due to thier slopes, but if they had the same slope, the y intercept would have to be different for them to be parrallel or else they would be the same line

please help
find the value of x in the isosceles triangle shown below.
V80
V80


Answers

Answer:

Option A. x = 8

Step-by-step explanation:

Please see attached photo.

From the attached photo,

we shall determine the value of y. This can be obtained by using pythagoras theory as illustrated below:

(√80)² = 8² + y²

80 = 64 + y²

Collect like terms

80 – 64 = y²

16 = y²

Take the square root of both side

y = √16

y = 4

Finally, we shall determine the value of x. This can be obtained as follow:

From the attached photo,

x = 2y

but:

y = 4

Therefore,

x = 2y

x = 2 × 4

x = 8

PLZ HELP!!!!!! ASAP! 70 POINTS!

Factor ax^2−ay−bx^2+cy+by−cx^2

Answers

Answer:

(a-b-c)(X^2-Y)

Step-by-step explanation:

DONE!!

hey i think this expression is not factorable with rational numbers

NEED ALL 4! With the solution and step by step on what to do !! worth 35 points

Answers

Answer:

I got you, give me a few minutes

1st one: 6x+12+6y

2nd one: -12a-20b

4th one: 2x times 18

Step-by-step explanation:

1: -4x + 2y + 10

2: -12a^2 + 20ab

3: i didnt know it sorry

4: x^2 - 9x + 18

all you need to do is the order of operations

Geometry multiple choice question

Answers

It’s the 3rd one 10.3

The diagonal of a square is 24 cm. What is the length of one side of the square?

Answers

The answer would be 6 !!

Answer:

side = 16.97 cm

Step-by-step explanation:

24²/2 = side²

side = 16.97 cm

PLEASE HELP FAST EASY MATH AND PRETTY STRAIGHT FORWARD!! I Will Mark Brainlist!

Answers

Answer:

We cannot draw graphs in brainly. we could send a pic or screenshot of where we could draw it though if u wanted

help me please i need to know which one is the answer tell me by the color please

Answers

Step-by-step explanation:

blue

What grade are you in? this is really easy!  you are definitely not a middle schooler, and forget high school . the reason you don't get this  is that you're wasting your time

playing  r 0 B I o x and  going on discord  now pull yourself together and study!!!

AND THATS ON PERIODT!!!

12 divided into a number is wat

Answers

Answer:

x

Step-by-step explanation:

Answer:

12 divided by 1 can be 12. If thats what you mean and if not, just tell me by explaining with more detail

Step-by-step explanation:

Pls help LOTS OF POINTS I am really confused and this is pretty easy so plaplslplsplspsl help

Answers

Answer: #4 is b

Step-by-step explanation:

A jewelry box is shaped like a cube. One side of the box is 6.5 inches long. What is the volume of the jewelry box?

Answer options:

-274 in3
-274.5 in3
-274.375 in3
-274.625 in3

Answers

Answer:

274.625 in^3

Step-by-step explanation:

equation for volume LxWxH

6.5x 6.5x 6.5= 274.625

A number increased by 6 is 13. What is the number?*

Answers

Answer:

7

Step-by-step explanation:

Simply subtract 6 from 13.

13-6=7

Hope this helps! :)

x + y + 2x + 2y + 4x + 5z

Answers

Answer:

5x

Step-by-step explanation: x + y + 2x + 2y + 4x + 5z

x + 4x + 2x + y + 2y + 5z

7x + 3y + 5z


Need HELP plzzzzzzzzz

Answers

Answer:

answer = 130 degree.

Step-by-step explanation:

I hope is correct.

Answer:

choice 2) angle DOC = 145 degrees

Step-by-step explanation:

angle ABD = 1/2(30 degree arc) = 15 degrees because of the inscribed angle theorem.

angle AOB = 180 - 20 - 15 = 145 degrees

angle DOC  = angle AOB because it is a vertical angle to 145 degrees.

Find the area of the rhombus

Answers

Solution :-

Area of rhombus :-

[tex] \bf \star \: \: \boxed{ \bf \dfrac{d_{1}d_{2}}{2} }[/tex]

[tex] \sf \longrightarrow d_{1} = 4 \sqrt{3} + 4 \sqrt{3} = 8 \sqrt{3} [/tex]

[tex] \sf \longrightarrow d_{2} = 4 + 4 = 8[/tex]

Area of rhombus :-

[tex] : \implies \sf \dfrac{8 \sqrt{3} \times 8 }{2} [/tex]

[tex] : \implies \sf 8 \sqrt{3} \times 4[/tex]

[tex]: \implies \bf 32 \sqrt{3} \: {m}^{2} [/tex]

box-plots! please help asap!

Answers

True:

Her lowest score is 40

(one of them)

Lin’s family has completed 40% of a trip. They have traveled 24 miles. How far is the trip? (If you get stuck, draw a tape diagram)

Then


Marco bought a doll for his little sister. The price on the tag was $35, but it was on sale for 80% off. How much did Marco pay for the doll?

Answers

Answer:

1) 60 miles

2) 7 dollars

Step-by-step explanation:

1) Question 1

Let x be equal to the full distance of the trip

[tex]0.4x=24[/tex]

Divide both sides by 0.4

[tex]\frac{0.4x}{0.4}=\frac{24}{0.4} \\x=60[/tex]

Therefore, the trip is 60 miles long.

2) Question 2

Let y be equal to the price that Marco paid for the doll.

[tex]35*0.2=y[/tex]

We multiply 35 by 1-0.8 because the doll is 80% off, meaning he's paying for 20% of the original price

[tex]7=y[/tex]

Therefore, Marco paid $7 for the doll.

I hope this helps!

The temperature, y, of a pot of water is 45 °F. The temperature increases by 30 °F per minute, x, when being heated.

Answers

Answer:

y = 30x + 45

Step-by-step explanation:

The teapot starts of at 45 °F, and every minute, the temperature increases by 30 °F

What is the slope of this line?

Answers

Answer:

A

Step-by-step explanation:

019eheiehejeeiejehehhehe

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