Mathematics High School

Find the vertex of this parabola:
y = -x2 - 6x - 10

Answers

Answer 1

Answer:-10

Step-by-step explanation: The slope-intercept form is

y

=

m

x

+

b

y

=

m

x

+

b

, where

m

m

is the slope and

b

b

is the y-intercept.

y

=

m

x

+

b

y

=

m

x

+

b

Find the values of

m

m

and

b

b

using the form

y

=

m

x

+

b

y

=

m

x

+

b

.

m

=

−

6

m

=

-

6

b

=

−

10

b

=

-

10

The slope of the line is the value of

m

m

, and the y-intercept is the value of

b

b

.

Slope:

−

6

-

6

y-intercept:

−

10

Answer 2
To find the vertex you need to use the formula
-b
——
2a
So for this problem that would be:

-(-6)
——— = x= -3
2(-1)

Now that you have x, to find y you need to just simply plug the number that you got for x back into the original equation and solve. Like this-

y= -(-3)2-6(-3)-10

y= 6+18-10

y= 4

This means that your vertex is (-3, 4).
I’m not sure if the 2 next to the x is meant to be squared instead of just 2, so let me know if it was meant to be that and I’d be happy to redo it for you!
Hope this helped! If it did I would appreciate it if you considered marking me brainliest!

Related Questions

What is the name of the decimal number?
3.54

Answers

Answer:

Three and fifty four hundredths.

I hope this helps!

Answer:

54 hundreths

Step-by-step explanation:

A sweater is on sale for 40% off the original price of $44. What is the sale price of
the sweater?
O A. $26.40
O B. $17.60
O C. $61.60
O D. $8.70

Answers

Answer:

the answer is B.$17.60

Answer: $17.60

Step-by-step explanation:

0.4(40/100)* 44= $17.60

Steve prepreformed the chemistry experiment in which divided 5/8 of a box of baking soda evenly among the five bottles he then added vinegar and water teach volatile to make them bubble up like volcanoes how much baking soda do you put in each bottle

Answers

Answer:

[tex]\mathbf{ \dfrac{1}{8} \ box}[/tex]

Step-by-step explanation:

Given that:

Steve divided 5/8 of a box evenly among 5 bottles. To determine the amount of baking soda added;

Then, mathematically:

[tex]=\dfrac{5}{8} \ box \div 5[/tex]

[tex]= \dfrac{5}{8} \ box \times \dfrac{1}{5}[/tex]

[tex]\mathbf{= \dfrac{1}{8} \ box}[/tex]

if in one batch of cookies, you use 6 cups of dough and 2 cups of chocolate chips
how many cups of chocolate chips will you need to make two batches of cookies

Answers

Answer:

4cups of chocolate chips

Hope I helped

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

2 cups times two recipes

2x2=4

What is an equation for the translation of y = |x| down 8 units?

Answers

your answer would be 4

A spherical balloon has a diameter of 4 feet.

Approximate how many cubic feet of air this balloon holds.



Note: 'pi' means 'LaTeX: \piπ ', which is approximately 3.14. Use 3.14 as an approximation for LaTeX: \piπ , and give a numerical answer.

Answers

Answer:

33.49

Step-by-step explanation:

just did that

factorie a3b3-9a2b2+20ab

Answers

Answer:

ABCDEFGHIJKLMNOPQRSTUFWTYZ

Step-by-step explanation:

Algebra 2 - Grade 11


Can anyone please help me with these Algebra 2 Math questions?


Soon as possible !!!



Find p(–4) if p(x) = 3x^3 – 2x^2 + 6x – 4



If r(x) = x^3 – 2x + 1, find r(2a^3).

Answers

Answer:

I think that the first part would be -252, but I'm not sure about the second part

Step-by-step explanation:


Find p(–4) if p(x) = 3x^3 – 2x^2 + 6x – 4

p(-4) = 3x^3 – 2x^2 + 6x – 4

p(-4) = 3(-4)^3 – 2(-4)^2 + 6(-4) – 4
= 3(-64) - 2(16) + 6(-4) - 4
= -192 - 32 - 24 - 4
p(-4) = -252


r(x) = x^3 – 2x + 1, find r(2a^3)

r(x) = (x^3 – 2x + 1) (2a^3)
= (2a^3) x^3 + (2a^3) (-2x) + (2a^3) * 1
= x^3 (2a^3) - 2x (2a^3) + 1 * (2a^3)
r(x) = 2a^3x^3 - 4a^3x + 2a^3

I’m not entirely sure about this one as I’m also in 11th grade but I think this is how it’s done.

What is the slope of the graph?

Answers

Answer:

The slope of the graph is 10.

Three groups of a number plus two.

Answers

3x+2
of means multiply

These all of the answers for question 4-113:

(The answers are in bold, italic, and underlined. (e.g. word))

Find the distance from A to C

Answers

Answer: 11 because the distance between A-B is 8 so because it says it on top, then add 3 to it from B to C

A circle has a diameter of 43cm, what is it's radius?​

Answers

Answer:

21.5

Step-by-step explanation:

Hey there !!!!

to find the radius just divide by 2 because radius is the half of diameter:

43 / 2 = 21.5

( for correct divison add 21.5 + 21.5 = 43 )

hope it helped !!!

Need help with number 7 plzzz and just zoom in if u can’t see and I’ll love u forever

Answers

Answer:

Good luck

Step-by-step explanation:

slope of -6,8 and -6,-8​

Answers

Answer:

use math.way.com

Step-by-step explanation:

Find the product and simplify.
(k+ 4)(-4k – 5)

Answers

The answer is -4k^2 - 21k - 20! so sorry if I’m wrong but it’s the answer I got :>

Sort 7/10,1/2,3/5,3/4 from least to greatest .

Answers

Answer:

1

Step-by-step explanation:

Answer:

1,2,3,4,5,7,10

Step-by-step explanation:

NEED HELP!!! WILL GIVE BRANLIEST Which of the following options best describes the slope of line a?​

Answers

Answer:

Positive

Step-by-step explanation:

Find the area of the isosceles triangle.
13 cm is the side length
10 cm is the base length
what is the hight?

Answers

Answer:

23

Step-by-step explanation:

because 10+13 well hope that helps

can someone help please!!

Answers

Answer:

x=106

Step-by-step explanation:

106, the sum of all the angles is 360, so add all the others, and figure out how many more you need to make 360.

Evaluate when x = -3 and y= -1:

Answers

Answer:

-3 + -1

Step-by-step explanation:

NEED HELP NOW! 5 questions, 76 points!


1.
Given points B(−12,2), T(−8,10), A(−7,12), F(−6,10), and G(−2,2), which of the following proves that △BAG~△TAF?


2.
Given points A(2,1), B(1,4), C(−1,10), D(8,13), and E(4,5), which of the following proves that △ABE~△ACD?
Answers:

By the Distance Formula,AB=310‾‾‾√,AC=10‾‾‾√, AE=65‾√, and AD=25‾√. Since, ABAC=AEAD=13, and ∠A≅∠A by the Reflexive Property, △ABE∼△ACD by SAS ∼.


By the Distance Formula,AB=310‾‾‾√,AC=10‾‾‾√, AE=65‾√, and AD=25‾√. Since, ABAC=AEAD=13, and ∠A≅∠A by the Reflexive Property, △ABE∼△ACD by SSS ∼.

By the Distance Formula,AB=10‾‾‾√,AC=310‾‾‾√, AE=25‾√, and AD=65‾√. Since, ABAC=AEAD=13, and ∠A≅∠A by the Reflexive Property, △ABE∼△ACD by SSS ∼.

By the Distance Formula,AB=10‾‾‾√,AC=310‾‾‾√, AE=25‾√, and AD=65‾√. Since, ABAC=AEAD=13, and ∠A≅∠A by the Reflexive Property, △ABE∼△ACD by SAS ∼.



3.
Given points M(1,2), N(4,4), P(5,−1), J(−7,−1), K(−1,3), and L(1,−7), which of the following proves that △MNP≈△JKL?
Answers:

By the Distance Formula,MN=13‾‾‾√,NP=26‾‾‾√, and PM=5.Also, JK=213‾‾‾√,KL=226‾‾‾√, and LJ=10.Therefore, MNJK=NPKL=PMLJ=12, andtherefore, △MNP∼△JKL by SAS ∼.

By the Distance Formula,MN=13‾‾‾√,NP=26‾‾‾√, and PM=5.Also, JK=213‾‾‾√,KL=226‾‾‾√, and LJ=10.Therefore, MNJK=NPKL=PMLJ=12, andtherefore, △MNP∼△JKL by SSS ∼.

By the Distance Formula,MN=13,NP=26, and PM=25.Also, JK=52,KL=104, and LJ=100.Therefore, MNJK=NPKL=PMLJ=14, andtherefore, △MNP∼△JKL by SSS ∼.

By the Distance Formula,MN=13,NP=26, and PM=25.Also, JK=52,KL=104, and LJ=100.Therefore, MNJK=NPKL=PMLJ=14, andtherefore, △MNP∼△JKL by SAS ∼.



4.
Given points M(−5,5), R(−2,6), I(−2,4), B(2,−2), A(8,0), and G(8,−4), which of the following proves that △MRI~△BAG?
Answers:

By the Distance Formula,MR=10‾‾‾√,RI=2, and IM=10‾‾‾√.Also, BA=210‾‾‾√,AG=4, and GB=210‾‾‾√.Therefore, MRBA=RIAG=IMGB=10√210√=12,and therefore, △MRI~△BAG by SSS ~.

By the Distance Formula,MR=10,RI=2, and IM=10.Also, BA=40,AG=8, and GB=40.Therefore, MRBA=RIAG=IMGB=1040=14,and therefore, △MRI∼△BAG by SSS ∼.

By the Distance Formula,MR=2,RI=10, and IM=10.Also, BA=8,AG=40, and GB=40.Therefore, MRBA=RIAG=IMGB=1040=14,and therefore, △MRI∼△BAG by SAS ∼.

By the Distance Formula,MR=10‾‾‾√,RI=2, and IM=10‾‾‾√.Also, BA=210‾‾‾√,AG=4, and GB=210‾‾‾√.Therefore, MRBA=RIAG=IMGB=10√210√=12,and therefore, △MRI∼△BAG by SAS ∼.



5.
Given points L(−2,−2), A(−6,−3), U(−14,−5), X(4,−5), and P(0,−3), which of the following proves that △XUL~△PAL?

By the Distance Formula,LX=317‾‾‾√,PL=17‾‾‾√, LA=5‾√, and LU=35‾√. Since, LXPL=LULA=31=3, and ∠L≅∠L by the Reflexive Property, △XUL∼△PAL by SSS ∼.

By the Distance Formula,LX=35‾√,PL=5‾√, LA=17‾‾‾√, and LU=317‾‾‾√. Since, LXPL=LULA=31=3, and ∠L≅∠L by the Reflexive Property, △XUL∼△PAL by SAS ∼.

By the Distance Formula,LX=35‾√,PL=5‾√, LA=17‾‾‾√, and LU=317‾‾‾√. Since, LXPL=LULA=31=3, and ∠L≅∠L by the Reflexive Property, △XUL∼△PAL by SSS ∼.

By the Distance Formula,LX=317‾‾‾√,PL=17‾‾‾√, LA=5‾√, and LU=35‾√. Since, LXPL=LULA=31=3, and ∠L≅∠L by the Reflexive Property, △XUL∼△PAL by SAS ∼.

Answers

Answer:

Q1: 5, 5 SAS

Step-by-step explanation:

Q2: 10 sas

Q3:13 sss

Q4: 10 sss

Q5: 35 sas

Given the equation of the line y=2.5x + 1, what is the x-coordinate, when x=10

Answers

i assume you mean y-coordinate because the x-coordinate would be 10 when x=10, so you substitute x=10 and get y=26

Fractions to decimals 19/31

Answers

Answer:

0.6129 I hope this helps!!!

Step-by-step explanation:

I need help wit this

Answers

Answer:

$12.75

Step-by-step explanation:

Do $71.75 - $8.00. Next divide that by 5. Here you should get the "each hour" amount.

Answer: $12.75

Step-by-step explanation:

He paid ^^ per hour - $8.00

Jared and Morgan are making two gazebos in the shape of regular polygons, Jared's gazebo is a heptagon
and has an apothem of 13.6 feet and an area of 623.5 ft and Morgan's gazebo is an octagon has an
apothem of 12.5 feet and an area of 517.8 ft". Which gazebo has the longest side length?

Answers

The gazebo with the longest side length is the heptagon.

What is the side length of the heptagon?

A heptagon is a polygon with 7 sides. It has 7 edges and vertices.

The length of the side of a heptagon = (area of the heptagon x 2) / (number of sides x length of the apothem)

= (623.5 x 2) / (7 x 13.6)

= 1247 / 95.2

= 13.1 feet

What is the side length of the octagon?  

A octagon is a polygon with 8 sides. It has 8 edges and vertices. The sum of internal angles in 135 degrees.

The length of the side of a octagon = (area of the octagon x 2) / (number of sides x length of the apothem)

= (517.8 x 2) / (12.5 x 8)

= 1035.6 / 100

= 10.356 feet

To learn more about an octagon, please check: https://brainly.com/question/12080203

Georgia needed to sell her iPhone. She priced it at
$650 the first day. The second day she reduced the
price by 12%. What was the price of the phone after
this reduction?

Answers

Answer:

572

Step-by-step explanation:

12% of 650 is 78

650 - 78 = 572

32 feet long and 6 yards wide what is the perimeter in feet

Answers

Answer:

100

Step-by-step explanation:

1 yard = 3 feet

6 yards = 18 feet

(18*2)+(32*2)

36+64

100

Answer:  The perimeter is a 100 feet.

Step-by-step explanation:

If it is 32 feet long and 6 yards wide then I am thinking that the shape will be a rectangle.

To find the shape of a rectangle, you can use the formula,  P = 2l+2w  were P is the perimeter, l is the length, and w is the width.  

But first since feet and yards are different measurements, and the question is asking for the perimeter in feet, then you will first have to convert 6 yards to feet.  

6 yards = 18 feet  

This means that the sides  will be 32 feet long and 18 feet wide.

Now using the formula, input 32 for L and 18 for W and solve for P the perimeter.

 P  = 2(32) + 2(18)

P = 64+ 36

P = 100  

please help with question 2! BRAINLIEST to correct answer!!!

Answers

Answer:

B: (-infinity, 4]

Compare: 1.6 x 10^-5 and 1.62 x 104^-4
A) >
B) <
C) =
D) none of the above

Answers

the correct answer is d

Answer:

D

Step-by-step explanation:

find the value of b if the following figures are similar.​

Answers

Answer:

7

Step-by-step explanation:

20 - 12 = 8

15 - b = 8

-b = 8 - 15

b = 7 ( -ve signs will become +ve)

b = 15 - (20 - 12)
b = 15 - 8
b = 7
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