Two points on the graph of a quadratic function are shown on the grid below



What is the equation of the axis of symmetry of the graph of the function?

a) x=-3

b) x=4

c) x=3

d) x=-4

Answer:

Perimeter [tex]\sqrt{26}+\sqrt{5}+\sqrt{10}+\sqrt{17}[/tex] units.  Area 12 square units.

Step-by-step explanation:

Perimeter: total distance around the figure.

Distance Formula:  the distance between points [tex]\left(x_1,y_1\right) \text{ and } \left(x_2,y_2\right)[/tex] is

[tex]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

[tex]AB=\sqrt{(6-1)^2+(2-1)^2}=\sqrt{25+1}=\sqrt{26}[/tex]

[tex]BC=\sqrt{(5-6)^2+(4-2)^2}=\sqrt{1+4}=\sqrt{5}[/tex][tex]CD=\sqrt{(2-5)^2+(5-4)^2}=\sqrt{9+1}=\sqrt{10}[/tex][tex]DA=\sqrt{(1-2)^2+(1-5)^2}=\sqrt{1+16}=\sqrt{17}[/tex]

The perimeter is the sum of all those segment lengths.

One way to find the area of the figure is to surround it with a rectangle, insert some lines so that the areas you do not want can be found and subtracted from the rectangle's area.  (See attached image.)

The area of the large rectangle around the figure is 5 x 4 = 20 square units.

The triangles have areas 1/2 (base) (height):

A. (1/2)(1)(4) = 2 square units

B. (1/2)(3)(1) = 1.5 square units

D. (1/2)(1)(2) = 1 square unit

E. (1/2)(5)(1) = 2.5 square units

Square C.  (1)(1) = 1 square unit

Total of all the area you don't want to include:

2 + 1.5 + 1 + 2.5 + 1 = 8 square units

Subtract 8 from the surrounding rectangle's area of 20, and you get the area of the figure is 20 - 8 = 12 square units.

Answer:

jadas practice time is 168 minutes or 2 hours 48 minutes.  Diegos practice time is 235 minutes or 3 hours 55minutes hope this helps! have a nice day and good luck with your test!

Step-by-step explanation:

Answer: 1.75=5n

Step-by-step explanation:

1.75 is being divided by n 5 times

Answer:

The true statement is;

B. The total surface area is multiplied by 2.25

The volume is multiplied by 3.375

Step-by-step explanation:

By scale drawing proportionality, we have;

The amount by which all the dimensions of the cylinder are multiplied to create an image of the cylinder = 1.5

∴ The scale factor between the original cylinder and the image of the cylinder, S.F. = 1.5

By rule, we have;

The area factor of the surface area = S.F.² = 1.5² = 2.25

Therefore;

The total surface area of the original cylinder is multiplied by 2.25 to get the total surface area of the image of the cylinder

By rule, we have;

The volume factor = S.F.³ = 1.5³ = 3.375

Therefore;

The volume of the original cylinder is multiplied by 3.375 to find the volume of the image of the cylinder.

Answer:

B

Step-by-step explanation:

Answer: -1, 1

Step-by-step explanation:

The other answer is valid.

Answer:

10

Step-by-step explanation:

convert mixed number into improper fraction

15/2÷3/4

to divide by a fraction multiply by the reciprocal of that fraction

15/2×4/3

reduce the numbers with the greatest common factor 3

5/2×4

reduce the numbers with the greatest common factor 2

multiply the numbers

5×2=10

10 is your answer

Answer:

5.6

Step-by-step explanation:

The equation is put in y = mx + b

where m = slope ( rate of change ) and b = y intercept

5.6 = m and 7 = b

Hence the rate of change for y = 5.6x + 7 is 5.6

Answer:

c = 18π    exact answer

c = 56.52   decimal approximation

Step-by-step explanation:

c = 2πr

c = 2π * 9

c = 18π    exact answer

Using 3.14 for π

c = 18 * 3.14

c = 56.52   decimal approximation

Answer: 3t+4q.

Step-by-step explanation: Triangles have 3 sides, so there will be 3 sides for each triangle in the envelope. This is represented by 3t. Quadrilaterals have 4 sides, so there will be 4 sides for each quadrilateral in the envelope. This is represented by 4q. The total number of sides will be the number of triangle sides and the number of quadrilateral sides together.

Answer:

Ours is today. Feels weird how we came a long way with the pandemic presiding our academic studies.

Step-by-step explanation:

Answer:

A.... X=3

Step-by-step explanation:

Answer:

The final answer is 0

Step-by-step explanation:

1/3 + 2/3 = 1 which means Ravi and Hasan ate the whole thing

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

Answer:

-3x^2+15x

Step-by-step explanation:

3x(5-x)

3x(-x+5)

-3x^2+15x

Answer:

a Answers is A

b Answer is D

Step-by-step explanation:

he sayed that the X doubles in the first one so its ×2

and in the second one he sayed that the x is only triples so we dont have to Multiply we have to devide it 5/x/3=5/x ×1/3

Answer:

D

Step-by-step explanation:

all answers are x = 0. If we put 0 instead of X.

y=0^4+3×0^3-2×0+7

y=0+0+0+7

y=7

Answer:

A)

Step-by-step explanation:

The starting balance is $35

after one game purchase, the balance is 35-1.75=33.25

after two game purchases, the balance is 35-(1.75*2)=31.50

Answer:

1 & 1

Step-by-step explanation:

Answer:

Area of Rectangle = 28 cm²

Step-by-step explanation:

Given - A rectangle has coordinates (2, 6) (9, 6) (9, 10) and (2, 10) on a grid with 1 cm squares.

To find - What is the area of the shaded rectangle?

Solution -

The graph of the rectangle is as follows :

From the diagram, e can see that

Length of Rectangle = 7 units (cm)

Breadth of Rectangle = 4 units (cm)

We know that,

Area of Rectangle = Length × Breadth

                              = 7 × 4

                              = 28 cm²

⇒Area of Rectangle = 28 cm²

Answer:

Step-by-step explanation:

god bless

[tex]a[/tex]

Answer:

19329, you are correct

Step-by-step explanation:

Volume = [tex]\pi * r^{2} * h[/tex]

Volume = [tex]3.14 * (18)^{2} *19[/tex]

Volume= 19329.84

not rounded= 19329

Answer:

Take the square root of each side of the equation to set up the solution for

x

(

3

x

−

5

)

2

⋅

1

2

=

±

√

19

Remove the perfect root factor

3

x

−

5

under the radical to solve for

x

.

3

x

−

5

=

±

√

19

The complete solution is the result of both the positive and negative portions of the solution.

Tap for more steps...

x

=

√

19

3

+

5

3

,

−

√

19

3

+

5

3

The result can be shown in multiple forms.

Exact Form:

x

=

√

19

3

+

5

3

,

−

√

19

3

+

5

3

Decimal Form:

x

=

3.11963298

…

,

0.21370035

…

The solutions of the of the equation are,

⇒ x = 3.12

⇒ x = 0.21

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ (3x - 5)² = 19

Now,

We can simplify the expression for the solutions as;

⇒ (3x - 5)² = 19

Take square root both side,

⇒ √(3x - 5)² = √19

⇒ (3x - 5) = √19

Add 5 both side,

⇒ 3x - 5 + 5 = √19 + 5

⇒ 3x = √19 + 5

⇒ 3x = ± 4.36 + 5

⇒ 3x = 4.56 + 5

⇒ 3x = 9.36

Divide by 3;

⇒ x = 9.36 / 3

⇒ x = 3.12

And, 3x = - 4.56 + 5

3x = 0.64

x = 0.64/3

x = 0.21

Thus, The solutions of the of the equation are,

⇒ x = 3.12

⇒ x = 0.21

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ7

Answer:

Step-by-step explanation:

POOP THEN PEEEEEE

Answer:

13t² + 2t + 9

Step-by-step explanation:

(9t² - 3t + 5) - (-4t² + 5t + 4)

Solving like terms

-(-4t²) becomes + 4t²

(9t² + 4t²) + (-3t + 5t) + (5+4) =

13t² + 2t + 9

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

a. east

b. 60 feet per second

Step-by-step explanation:

did this a while ago.

a. -180 is east, 120 is east. the car is traveling east because it is moving positive. read the last sentence of the description.

b. to calculate velocity you do time times position. in this case position is 60 and time is 1 so 60*1 is 60. so it is 60 feet per second.

Answer:

y= -3/2X + 2

Step-by-step explanation:

we get the gradient by picking any two points from the graph( it a linear graph)

using the point:

(x,y)= (-2,5) , (4,-4)

using M= (y2-y1)/x2-x1)

we get our gradient to be -9/6 which is

-3/2

using the equation of a straight line graph which is

y-y1=m(x-x1) and the point (4,-4)

we get

y-(-4)=-3/2(x-4)

----> y+4= -3/2x + 6

make y subject of the formula to take the form

y=mx+c

we get :

y=-3/2x + 2

Answer:

hope it helps

stay safe healthy and happy.

Answer:

204/841

Step-by-step explanation:

17/29 times 12/29

In order to find out what g is equal too,u must subtract 19 from both sides of the equation to get

g +19-19=38-19

the nineteens cancel out getting

g=38 -19

g=19