Points A, B, C, D, E, F, and G lie on the graph of function g( x ) as shown on the coordinate grid.
All the coordinates of the marked points are integers. Drag and drop numbers into the boxes to complete each form of the function
numbers to boxes:
-5, 0, 3, 4, 5, 6, 7
Answers
Answer:
[tex]g(x)=-(x-5)^2+4\\=-(x-7)(x-3)[/tex]
Step-by-step explanation:
Given: coordinate grid
To find: the missing number
Solution:
Equation of the parabola that open downwards and is symmetric about y-axis is [tex](x-h)^2=-4p(y-k)[/tex] where [tex](h,k)[/tex] denotes the vertex and focus is at [tex](h,k+p)[/tex]
[tex]g(x)=-(x-.....\,\,\,\,)^2+\left ( ....... \right )\\(x-.....\,\,\,\,)^2=-\left ( g(x)-(....) \right )[/tex]
[tex](x-h)^2=-\left ( g(x)-(k) \right )[/tex]
From the graph, vertex is [tex](5,4)[/tex]. Put [tex](h,k)=(5,4)[/tex]
[tex]g(x)=-(x-5)^2+4\\=-\left [ (x-5)^2-2^2 \right ][/tex]
Use formula [tex]a^2-b^2=(a+b)(a-b)[/tex]
So,
[tex]g(x)=-\left [ (x-5)^2-2^2 \right ]\\=-\left [ (x-5-2)(x-5+2) \right ]\\=-(x-7)(x-3)[/tex]
Related Questions
Yolanda participated in a walkathon in which each kilometer walked raised $10 for charity. Her goal was to raise more than $300 on Saturday and Sunday. She raised $50 on Saturday. Which graph show all the distances, in kilometers, that Yolanda could have waled on Sunday to reach her goal?
Answers
Answer:
Step-by-step explanation:
C
Given the equation (x + 3) ^ 2 + y ^ 2 = 81 choose ALL correct answers
1.The center of the circle would lie on the x-axis.
2. The center of the circle would lie on the y-axis.
3.The center of the circle would lie in a quadrant.
4. The radius is 9
5. The radius is 40.5
6.The radius is 81
7. The diameter is 18
8.The diameter is 81
9. The diameter is 162 Help please
Answers
Answer:
The equation of a circle having the center (a, b) and radius r could be formulated by:
(x - a)^2 + (y - b)^2 = r^2
A circle, which has equation form: (x + 3) ^ 2 + y ^ 2 = 81, can be turned into:
(x - -3)^2 + (y - 0)^2 = 9^2
=> center (-3, 0)
=> radius = 9
=> Option 1 is correct
=> Option 4 is correct
=> Option 7 is correct
Hope this helps!
:)
PLEASE HELP?
Suppose the sphere below with radius r has a surface area equal to 50 units². find the surface area of the sphere with twice the radius.
Answers
Answer:
[tex]200$ unit^2[/tex]
Step-by-step explanation:
Surface Area of a Sphere[tex]=4\pi r^2[/tex]
Given that the surface area of a sphere is 50 units².
Then:
[tex]4\pi r^2 =50\\r^2=\dfrac{50}{4\pi}\\ r=\sqrt{\dfrac{50}{4\pi}}[/tex]
If a sphere has twice the radius of the sphere above
Its radius, [tex]r=2\sqrt{\dfrac{50}{4\pi}}[/tex]
Therefore its Surface Area
[tex]=4\pi\left(2\sqrt{\dfrac{50}{4\pi}}\right)^2\\=4\pi*4*\dfrac{50}{4\pi}}\\\\=200 unit^2[/tex]
Please help me I don’t understand
Answers
Answer:
B
Step-by-step explanation:
LIST ALL THE NUMBER IN THE BOX PLOT
hope this helps:)
I hope this helped!!
Plz help asap, dhdhhsbdhd
Answers
Answer: The answer is 10. X = 10.
Step-by-step explanation:
Answer:
[tex]x = 60 \: \: degrees[/tex]
Step-by-step explanation:
[tex]2x + 5 + x - 5 = 180 \\ 3x = 180 \\ \frac{3x}{3} = \frac{180}{3} \\ x = 60 \: \: degrees[/tex]
(sum of the Co- interior angles = 180 degrees)
hope this helps
brainliest appreciated
good luck! have a nice day!
what us the length of AC?
Answers
Then from there it become 13x=156
So x=12
Consider the diagram.
Triangles M N P and A B C are connect between points B and M. Angles P N M and A B C are congruent. Sides P N and B C are congruent. Line segments A M and B N are congruent.
The congruence theorem that can be used to prove △MNP ≅ △ABC is
SSS.
ASA.
SAS.
AAS.
Answers
Answer:
The answer is SAS. ( Option C )
Step-by-step explanation:
S A S congruence theorem is used to prove △MNP ≅ △ABC.
Given △MNP and △ABC are connect between points B and M.
In △MNP and △ABC
Side PN = Side BC (given)
angle PNM = angle ABC (given)
Side NM = Side AB (since AM and BN are congruent so NM and AB are also congruent)
So, by Side Angle Side Congruence rule △MNP ≅ △ABC.
Hence S A S congruence theorem is used to prove △MNP ≅ △ABC.
For more details on congruence theorem follow the link:
https://brainly.com/question/19258025
How many square feet of outdoor carpet will we need for this whole?
Answers
Answer:
44 ft^2
Step-by-step explanation:
Find the area of the whole rectangle first, and then subtract the area of the small black rectangle:
(12 ft)(4 ft) - (2 ft)(2 ft) =
48 ft^2 - 4 ft^2
44 ft^2 (answer)
What is the measure of BPU?
os
60
P
40
.
O A. 100
O B. 40
O C. 80°
O D. 60°
Answers
Answer:
80°
Step-by-step explanation:
SPO+OPA+APC= 180°
(Angles on a straight line sum up to 180)
60+OPA+40=180
OPA=180-100
=80°
So, BPU is also 80°
(Vertically opposite angles are always equal)
Answer:
80⁰
Step-by-step explanation:
SPU = CPR = 40⁰ ( vertically opposite)
BPU + 40 + 60 = 180⁰ (straight line angle)
BPU = 180 - 100
BPU = 80⁰
Use the substitution method to solve the system of equations. Choose the
correct ordered pair.
2x + y = 10
y= x-5
O A. (9,-8)
O B. (7,2)
O C. (8,-6)
D. (5,0)
Answers
Step-by-step explanation:
Putting value of y
2x + x - 5 = 10
3x - 5 = 10
3x = 10 + 5
3x = 15
x = 15/3 = 5
Putting value of x
Y = x - 5
Y = 5 - 5
Y = 0
Option D is the correct answer
WILL GIVE BRAINLIEST ASAP NEEDED PLS ANSWER HELP
You need to create a fenced Off region of Land for cattle to graze. The grazing area must be a total of 500 square feet surrounded by a fence and in the shape of a regular polygon within this grazing area the length of the apothem must be 10 feet long.
Part. 1 find the total perimeter of the grazing area
Part 2. if the cost of the fence is $7.95 per linear foot how much will it cost to place a fence around the entire grazing area?
Part 3 - suppose this grazing area is 1/60 of an industrial grazing area for major industry farm. What is the total cost to build a fence around the entire land of the large scaled farm
Use property of proportions
show all work
Answers
Answer:
$47,520
Step-by-step explanation:
A.
the area of a polygon is/
A= perimeter X apothem /2
A=500
apothem = 10
500 = (P * 10)/2
P =100
B. 100*7.95 = $795
C.
60*100= 6,000
6,000 * $7.95=
$47,520
Which of the following events will have an UNLIKELY chance of occurring?
A)rolling a 7 on a standard number cube labeled 1 - 6)
B)rolling a number less than 3 on a standard number cube labeled 1 - 6)
C)picking a vowel from the word ANTEATER)
D)picking a blue marble from a bag consisting of 8 blue, 2 red, and 1 white)
E)rolling an even or odd number on a standard number cube labeled 1 - 6)
Answers
Answer:
A
Step-by-step explanation:
Since there is no 7 on a standard number cube 1-6, there is no chance that the event can occur. Thus, A the correct answer.
A parabola, with a vertex at (−4, 32), is defined by f(x)=−x2+bx+c (where b and c are some numbers). f(x) and g(x) - its reflection about the origin, are defined for values of x such that f(x)≥0 and g(x)≤0. Find the intersection of the domains of the two functions.
Answers
Answer:
2 and 16
Step-by-step explanation:
1. f(x) = x(x-6)(x+3)
Answers
Answer:
x3squared-3x2squared-18x
Step-by-step explanation:
1 Expand by distributing terms.
({x}^{2}-6x)(x+3)(x
2
−6x)(x+3)
2 Use the FOIL method: (a+b)(c+d)=ac+ad+bc+bd(a+b)(c+d)=ac+ad+bc+bd.
{x}^{3}+3{x}^{2}-6{x}^{2}-18xx
3
+3x
2
−6x
2
−18x
3 Collect like terms.
{x}^{3}+(3{x}^{2}-6{x}^{2})-18xx
3
+(3x
2
−6x
2
)−18x
4 Simplify.
{x}^{3}-3{x}^{2}-18xx
3
−3x
2
−18x
814 g O 8.14 kg
compare! PLS HELP BEST GETS BRAINLESST AND FOLLOW
Answers
814g is equal to 0.814kg (which is 814 divided by 1000) and 0.814kg times 10 is 8.14kg.
Parallelogram EFGH has vertices at E(1,3), F(0,2), G(4,0), and H(5,1). How many units is the perimeter of parallelogram EFGH?
Answers
Answer:
the answer wold be 10.129
Step-by-step explanation:
Perimeter of the parallelogram EFGH is 11.76 units
What is Perimeter?A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length.
What is Parallelogram?A parallelogram is a simple quadrilateral with two pairs of parallel sides.
Given,
The coordinates of the parallelogram = E(1,3), F(0,2), G(4,0) and H(5,1)
We know that,
In parallelogram EF=HG and EH=FG
Perimeter of the Parallelogram = 2(a + b)
Distance between EF = a = [tex]\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1}})^{2} }[/tex]
[tex]=\sqrt{(0-1)^{2} +(2-3)^{2} }\\=\sqrt{1+1} \\=\sqrt{2}[/tex]
a =1.41 units
Distance between EH = b =[tex]\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1}})^{2} }[/tex]
[tex]=\sqrt{(5-1)^{2} +(1-3)^{2} }\\=\sqrt{16+4} \\=\sqrt{20}[/tex]
b =4.47 units
Perimeter of the Parallelogram = 2(a + b)
=2(1.41+4.47)
=11.76 units
Hence, the Perimeter of the Parallelogram EFGH is 11.76 units
Learn more about Perimeter and Parallelogram here
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I don’t understand
I'm stupid, I don't understand mathematics :(
Answers
two similar bags contain the same number of red and blue balls
Sammy takes the first bag and he replaces 5 blue balls by 5 red balls. now the number of Red Balls is twice the number of blue balls
Rami holds the second bag and he takes 3 red balls from it now the number of the blue balls is twice the number of the red balls
designate by x the number of Red Ball and y the numbers of Blue Balls
(x and y are positive integers)
the system that models the text given above is:
a. x-2y=5
2x-y=6
b. x-2y=-15
2x-y=6
c. x-2y=-15
2x-y=-3
Answers
Please Answer!!! Will give 30 points!!! And brainliest when I can
Answers
The value of X is 3
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Answer:
B. 3
Step-by-step explanation:
→You need to get rid of the (-x + 4) in the denominator, and to do so, you must multiply both sides by it:
[tex]\frac{2x-3}{-x+4} =3[/tex]
2x - 3 = 3(-x + 4)
→Distribute the 3 to (-x + 4):
2x - 3 = -3x + 12
→Add 3x to both sides:
5x - 3 = 12
→Add 3 to both sides:
5x = 15
→Divide both sides by 5:
x = 3
Which type of reasoning allows you to use observation to find the next three values in the number pattern 1,4,7,10.....?
Answers
Answer:
The next number in the pattern is 13.
Step-by-step explanation:
From 1, i add 3 and i get 4, then i add 3 to 4 and get 7 and then i add 3 to 7 to get 10. From here you can quickly observe that you add three to ten to get 13
Determine if sides of length 5 mm, 14 mm and 19 mm can form a triangle.
Answers
Answer:
no
Step-by-step explanation:
The third side has to be shorter than the sum of the other two sides
5+14 = 19
It is equal so they cannot form a triangle
does anyone know the answer to this ?
Answers
Answer:
1595 ft^2
Step-by-step explanation:
The answer is obtained by adding the areas of sectors of several circles.
1. Think of the rope being vertical going up from the corner where it is tied. It goes up along the 10-ft side. Now think of the length of the rope being a radius of a circle, rotate it counterclockwise until it is horizontal and is on top of the bottom 20-ft side. That area is 3/4 of a circle of radius 24.5 ft.
2. With the rope in this position, along the bottom 20-ft side, 4.5 ft of the rope stick out the right side of the barn. That amount if rope allows for a 1/4 circle of 4.5-ft radius on the right side of the barn.
3. With the rope in the position of 1. above, vertical and along the 10-ft left side, 14.5 ft of rope extend past the barn's 10-ft left wall. That extra 14.5 ft of rope are now the radius of a 1/4 circle along the upper 20-ft wall.
The area is the sum of the areas described above in numbers 1., 2., and 3.
total area = area 1 + area 2 + area 3
area of circle = (pi)r^2
total area = 3/4 * (pi)(24.5 ft)^2 + 1/4 * (pi)(4.5 ft)^2 + 1/4 * (pi)(14.5 ft)^2
total area = 1414.31 ft^2 + 15.90 ft^2 + 165.13 ft^2
total area = 1595.34 ft^2
sove for x: -3x+2z=5
Answers
Answer:
x = -(5-2z)/3
Step-by-step explanation:
-3x+2z=5
Subtract 2z from each side
-3x+2z-2z=5-2z
-3x = 5-2z
Divide each side by -3
-3x/-3 = (5-2z)/-3
x = (5-2z)/-3
Answer:
x = 2 / 3z - 1 and 2 / 3
Step-by-step explanation:
Consider the steps below;
[tex]- 3x + 2z = 5 - Subtract 2z From Either Side of Equation,\\- 3x = 5 - 2z - Take - 3 Divided on Either Side,\\\\x = ( - 5 / 3 ) + 2 / 3z - ( Simplify ),\\x = - 1 \frac{ 2 }{ 3 } + 2 / 3z - Re - arrange,\\x = \frac{ 2 }{ 3 } z - 1 \frac{ 2 }{ 3 } \\\\Conclusion ; ( x = \frac{ 2 }{ 3 } z - 1 \frac{ 2 }{ 3 } )[/tex]
Solution ; x = 2 / 3z - 1 and 2 / 3
A slide that Baker Park has a height of 10 feet and is 15 feet long. How high are you off the ground when you are 6 feet down the slide
Answers
Answer:
4 ft
Step-by-step explanation:
just look at the length of the slide and substract it.
10-6=4
Answer:
4ft would be the answer to your question.
Please I need help with this ASAp...Thanks and will give you brainlist...
Answers
Answer:
Supplier A.
The mean is 67.28
Please hurry
What is the slope of a line that is perpendicular to the graph of
y = 5/3x +8
Answers
Answer:
-3/5
Step-by-step explanation:
The slope of a perpendicular line is always the negative reciprocal of the slope of the original line.
1/(5/3) * - 1 = -3/5
The slope of the line that is perpendicular to the graph of y = 5/3 x + 8 is -3/5.
What is the Equation of line in Slope Intercept form?Equation of a line in slope intercept form is y = mx + b, where m is the slope of the line and b is the y intercept, which is the y coordinate of the point where it touches the Y axis.
Given a line,
y = 5/3 x + 8
Comparing with the slope intercept form,
Slope of the given line = 5/3
Any line perpendicular to the given line has a slope which is the negative reciprocal.
Slope of the perpendicular line = -3/5
Hence the required slope is -3/5.
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Mom and her siblings have inherited a 30000 (Square miles) of land. She has 9 sisters and 3 brothers. Each brother has inherited double what each sister has inherited. How many (Square miles) of land mom has inherited?
Answers
Answer:
1875 square miles
Step-by-step explanation:
There are a total of 10 women and 3 men. Let's define two variables:
w: land inherited by a womanm: land inherited by a manGiven that they inherited a 30000 (square miles) of land and that each brother has inherited double what each sister has inherited, we can establish the next equations:
2*w = m
10*w + 3*m = 30000
Replacing the first equation into the second one, and solving for w:
10*w + 3*2*w = 30000
16*w = 30000
w = 30000/16
w = 1875 square miles
Your mom, and all of her sisters, inherited 1875 square miles each
need help with B only
please help I will mark brainliest
A is 375mm
Answers
Answer:
7044.5 mm (Please don't be angry on me if I'm wrong, I apologize beforehand)
Step-by-step explanation:
if the upper bound varies from the median by 5, I guess that the lower also varies by 5
thus, 365 * 19.3
7044.5 mm
Please don't be angry on me if I'm wrong, I apologize beforehand
Could you please help me with this I will give brainliast!!!!!! please I'll do anything!!!!!
Jeff read 3/8 (three-eighths) of a chapter of his history book in 20 minutes. At this rate, how many chapters of his history book can he read in 1.5 hours? Explain how he got 27/16?
Answers
Answer:
27/16 chapters completed in 1.5 hours
Step-by-step explanation:
Jeff read 3/8 part in minutes = 20
He read complete chapter in minutes =[tex]\frac{20}{\frac{3}{8}}=\frac{20}{3} \times 8 = \frac{160}{3} minutes[/tex]
60 minutes = 1 hour
[tex]\frac{160}{3} minutes = \frac{160}{3} \times \frac{1}{60}=\frac{8}{9} hours[/tex]
So, No. of chapters completed in[tex]\frac{8}{9}[/tex] hours = 1
No. of chapters completed in 1.5 hours = [tex]\frac{1}{\frac{8}{9}} \times 1.5=\frac{27}{16}[/tex]
So, 27/16 chapters completed in 1.5 hours
The diagram shows parallel lines cut by two transversal lines creating a triangle. Which statement can be made from the diagram?
Answers
Answer:the third one shows parallel lines cut by a transversal
Step-by-step explanation:
Answer:
B. m Angle A + 60° + 55° = 180°
Step-by-step explanation:
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