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Find the axis of symmetry and
the
vertex of the graph of y = 3x^2
-18x + 17

Answer:

X = 3

Y = -3

Step-by-step explanation:

Answer:

Step-by-step explanation:

ax² + bx + c = 0

[tex]x_{1}[/tex] = [tex]\frac{-b - \sqrt{b^2 -4ac} }{2a}[/tex]

[tex]x_{2}[/tex] = [tex]\frac{-b+\sqrt{b^2 -4ac} }{2a}[/tex]

~~~~~~~~~~~~~~~~~~~

x² + 4x - 16 = 0

a = 1 , b = 4 , c = - 16

[tex]x_{1}[/tex] = ( - 4 - [tex]\sqrt{16+64}[/tex] ) ÷ 2 = - 2 - 4√5

[tex]x_{2}[/tex] = - 2 + 4√5

take two points  : (-4, 3), (3, 1)

[tex]\sf slope: \sf \dfrac{y_2-y_1}{x_2-x_1}[/tex]            where (x1, y1), (x2, y2)

Insert the following values

[tex]\hookrightarrow \sf \dfrac{1-3}{3-(-4)}[/tex]

[tex]\hookrightarrow \sf \dfrac{-2}{3+4}[/tex]

[tex]\hookrightarrow \sf -\dfrac{2}{7}[/tex]

slope:-

Which graph indeed?

Eliminate the parameter:

x = t - 4   ⇒   t = x + 4

⇒   y = t² + 5 = (x + 4)² + 5

which is the equation of a parabola with vertex at (-4, 5) and opening upwards, plotted with domain

-1 ≤ t ≤ 2   ⇒   -1 ≤ x + 4 ≤ 2   ⇒   -5 ≤ x ≤ -2

Answer:

it is c

Step-by-step explanation:

Answer:

1. 144 m; 2. 720m²;

Step-by-step explanation:

1.

First we need to know how much edges are of the figure. Since there is 12, we need to multiple the length of an edge to how many of them are:

12 • 12 = 144 m

2.

Since one edge is 12 m, first calculate the plot of a little square (as there are 5 in the pic):

12 • 12 = 144 m² (one square)

Now we know that one square's plot is 144 m².

Since there is 5 of them, we need to multiply the plot 5 times, since there are five mini squares:

144 • 5 = 720 m²

Now we know the plot of the full figure.

The first missing quantity is force due to gravity, and it is 215.1 N.

The second missing quantity is distance between the statellite and the Earth, determined as 6,000 km.

The force between two masses is determined by applying Newton's law of universal gravitation as shown below;

[tex]F = \frac{GMm}{R^2}[/tex]

where;

The first missing quantity is force due to gravity, and it is calculated as follows;

[tex]F = \frac{(6.67 \times 10^{-11} ) \times (5.97 \times 10^{24}) \times (700)}{(36,000 \times 10^3)^2} \\\\F = 215.1 \ N[/tex]

The second missing quantity is distance between the statellite and the Earth,

[tex]R^2 = \frac{GMm}{F} \\\\R^2 = \frac{(6.67 \times 10^{-11})(5.97 \times 10^{24})(1000)}{11,000} \\\\R^2 = 3.62 \times 10^{13}\\\\R = 6,000 \ km[/tex]

Learn more about Newton's law here: https://brainly.com/question/3999427

Answer:

C

Step-by-step explanation:

^

Answer:

B.

Step-by-step explanation:

1) the volume can be calculated as sum:
V=V₁+V₂;

2) V₁=6*8*8=384 [ft³];

3) V₂=0.5*6*6*8=144 [ft³];

4) the required volume:

V=384+144=528 [ft³]

The perimeter of any shape is the length of all the sides added up:

1. For the rectangle

    [tex]6 + (3x - 1) + (3x - 1) + 6 = 6x - 2 + 12 =6x + 10[/tex]

2. For hexagon

   [tex]10.2 + (x+4)+(x+4)+10.2+(x+4)+(x+4)=4x + 16 + 20.4=4x + 36.4[/tex]

Hope that helps!

Answer:

D. 0.74 < 0.94

Step-by-step explanation:

0.74 is less than 0.94 because 7 is less than 9. Plus that's just how math works

Answer:

(7/2+2/5)+8/3

=(3.5+0.4)+2.66

=(3.9)+2.66

=6.56

so its 6.56

Step-by-step explanation:

Answer:

4 units yan po sana makatulong

Answer:

It's simple number of family here is 8 x the coast of 1 ticket

Step-by-step explanation:

1572 x 8 =12576

Answer:

$12,576

Step-by-step explanation:

You just have to multipy the cost of one ticket by 8.

Answer:

A and C

Step-by-step explanation:

Answer:

Explanation:

So you want to start by finding the area of the big square.

We know the width of the big square is 60cm. The length of the big square is

19

+

24

+

13

=

56

Big square

A

r

e

a

=

L

⋅

W

=

56

⋅

60

=

3360

Now let’s find the little square inside the bigger square. We see from the picture that the width is 34 and the length is 24cm. Using the same formula, we can find the area of the little square.

Little square

A

r

e

a

=

L

⋅

W

=

24

⋅

34

=

816

The area enclosed in the area of the big square minus the area of the little square.

3360

−

816

=

2544

So the area enclosed is

2544

c

m

2

Step-by-step explanation:

Answer:

34107cm

Step-by-step explanation:

Answer: 2 hours and 5 minutes .

Step-by-step explanation:60 divided by 3 is 20 and 20 gal= 5 minutes .

500 divided by 20 is 25 .25 times 5 minutes is 2 hours and 5 minutes

Answer:

0

Step-by-step explanation:

0 x 10

0 x 1000

0 x 10 000 000              they all equal 0

Hey there!

9,603,450,503

“Nine billion six hundred three million four hundred fifty thousand five hundred three”

9,000,000,000

+ 600,000,000 

+ 00

+ 3,000,000 

+400,000 

+ 50,000 

+ 00

+ 500 

+ 00

+ 03 

9 = billions (9 billion)

,

6 = Hundred Millions (600 million)

0 = Ten Millions

3 = Millions (3 million)

,

4 = Hundred Thousands (400 thousand)

5 = TenThousands (50 thousand)

0 = Thousands

,

5 = Hundreds (5 hundreds)

0 = Tens

3 = ones (3)

So, therefore your answer(s) is/are:

• ten millions
• thousands
• tens

Good luck on your assignment & enjoy your enjoy your day!

~Amphitrite1040:)

The probability of an event is the number of favorable outcomes divided by the total number of outcomes possible. Converting the fraction 35 to a decimal, we would say there is a 0.6 probability of choosing a banana. This basic definition of probability assumes that all the outcomes are equally likely to occur.

hope it helps...!!!

Answer:

50 yards

Step-by-step explanation:

This is a 3-4-5 triangle. You can use this shortcut to find the hypotenuse. (Multiply the3, 4, 5 by 10) OR

You could also use Pythagorean Theorem.

30^2 + 40^2 = h^2

900+1600=h^2

2500 = h^2

Squareroot.

50 = h

Answer:

D

Step-by-step explanation:

We can visually see the line going down so the slope is negative. (-30)

The y-intercept must be 120, because it does not intersect 90.

Let's simplify

Take 16

And

Take 6

No they are non proportional

If d=26 then r = d/2 = 13

...........................................

Answer:

132cm^2

Step-by-step explanation:

to solve for the area of this we can split it into smaller shapes and sum the areas afterward-

the top rectangle has an area equal to Length x Width

4x7 = 28cm^2

the centre rectangle is done similarly-

7x8 = 56cm^2

lastly the two triangles which are solved with base x height divided by two

now since we know that the centre piece is 7cm across, and that the two side triangles are equal in size, that means that we know the base to be 19-7 divided by 2 which gives 6 each-

[tex]\frac{(6)(8)}{2}[/tex] (2) = (6)(8) = 48cm

now summing them we have 28 + 56 + 48 = 132cm^2

Answer: The nomenclature for steel shapes follows two standards: For wide flange, bearing pile, S-shapes, channels, and tees

tep explanation:

Answer:

Answer A

Step-by-step explanation:

All equations except A end up as no solutions when put in an Algebra calculator