If John solved the equation x? - 10x + 8 = 0 by completing the
square, one of the steps in his process would be
(1) (x-5)^2 = -8
(2) (x-5)^2 = 17
(3) (x+ 4)^2 = 10x
(4) (x + 4)^2 = 10x + 16

Answer:

32/9

Step-by-step explanation:

2 to the fifth power is 32. 3 to the second power is 9.

Answer:

       7 / 28

Step-by-step explanation:

7 / 28 = 0 . 28

Answer:

84 possible paths

Step-by-step explanation:

Given

[tex]N =3[/tex] --- 3 blocks north

[tex]E = 6[/tex] --- 6 blocks east

Required

Number of distinct path

To solve this question, we make use of the following formula

[tex]^{m+n}C_n \ =\ ^{m+n}C_m[/tex]

The above formula implies that;

On a single path, there is a total of m + n steps to get to a particular position, where each path is either in m direction or n direction.

In this case:

[tex]m = 3[/tex]

[tex]n = 6[/tex]

So, we have:

[tex]^{m + n}C_n = ^{3+6}C_6[/tex]

[tex]^{m + n}C_n = ^9C_6[/tex]

Apply combination formula

[tex]^{m + n}C_n = \frac{9!}{(9-6)!6!}[/tex]

[tex]^{m + n}C_n = \frac{9!}{3!*6!}[/tex]

Expand the numerator

[tex]^{m + n}C_n = \frac{9*8*7*6!}{3!*6!}[/tex]

[tex]^{m + n}C_n = \frac{9*8*7}{3!}[/tex]

Expand the denominator

[tex]^{m + n}C_n = \frac{9*8*7}{3*2*1}[/tex]

[tex]^{m + n}C_n = \frac{504}{6}[/tex]

[tex]^{m + n}C_n = 84[/tex]

Hence, there are 84 possible paths

[tex]^{m + n}C_m[/tex] will also give the same result

Step-by-step explanation:

to find area

A = Pi x r^2

r = d/2 = 10/2 = 5

Answer:

4761

Step-by-step explanation:

69 times 69 since it is to the power of 2.

Answer:

4761

Step-by-step explanation:

[tex]69 *69=4761[/tex]

please give brainliest I need to feed my children

Answer:

The area of the cross section is equal to the area of the base.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

2:3 = x:60

3 → 60 (*20)

2*20=40

Answer:

40 green houses

Step-by-step explanation:

Because the ratio is given, you can use the criss-cross method.

2:3

?:60

All you do is multiply 60 by 2 then divide by 3

(60×2)/3=40

Answer:

a

Step-by-step explanation:

it is a because the shape is moving to the side

Answer:

The answer is B!

Answer:

175 ÷ 12.50 = 14

Step-by-step explanation:

Answer: it’s true i just did the quiz

Step-by-step explanation:

Chord BC is a diameter of the circle as passes from the center O of the circle and its end points B,C lies on the circle so the statement is true.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

O is the center of the Circle

Chord BC is the line segment passing from the center of circle

Chord is a line segment whose end points lies on the circle.

Diameter is defined as a line segment passing from the center of the circle whose end point lies on the circle.

A chord that passes through the centre of a circle is called a diameter, and it is the longest chord.

Hence, chord BC is a diameter of the circle as passes from the center O of the circle and its end points B,C lies on the circle so the statement is true.

To learn more on Circles click:

https://brainly.com/question/11833983

#SPJ7

Answer:

- 23

- 0.5

Step-by-step explanation:

- 31 + 8

- 23

- 1 × 0.5

Answer:

17: 16.97

18: 17

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

When graphing, start by the y intercept.

y = 3x + 3 meaning 3 units up since the y intercept is 3

y = 3x + 3 then 3 extra units up since the slope and then one unit to the right

God bless you as well!

Answer:

I think B but not so sure

Answer:

Step-by-step explanation:

radius of semi circle=8/2=4 in

height of triangle=14-4=10 in.

area of composite figure=1/2×8×10+π×4²=40+16 π≈90.3 sq. in

Answer:

124 would be the volume............ but I don't see that

Answer:

The car would need 12 gallons of gas to go 360 miles

Step-by-step explanation:

360÷30=12

Answer:

it would take 12 gallons of gas

Step-by-step explanation:

[tex]360 \div 30 = 12[/tex]

Answer:

This link should help

Step-by-step explanation:

http://www.uvm.edu/~eclark/Math017LectureNotes.pdf

Answer:

0.50

Step-by-step explanation:

Because decimals are correlated with fractions, and fractions are correlated with percentage.

Essentially, everything is out of a hundred. For example, 100% is max capacity(aka the votes in this question).

In decimals, 0.50 is half of 1.00 which is essentially also max capacity. Following this logic, if you convert 50% into decimal form, it will be 0.50, and 0.50 is one half of 1.00. The other half must be 0.50 then, because if you subtract it, that's what you get, and you can check by adding it together.

Hope this helps.

Answer:

i believe its D

Step-by-step explanation:

Answer:

I think:

192 lateral area

56 surface area

If Im wroung Im very sorry

Answer:

$6.90+20%-6 months to get this answer

Answer:

a)

We know that:

a, b > 0

a < b

With this, we want to prove that a^2 < b^2

Well, we start with:

a < b

If we multiply both sides by a, we get:

a*a < b*a

a^2 < b*a

now let's go back to the initial inequality.

a < b

if we now multiply both sides by b, we get:

a*b < b*b

a*b < b^2

Then we have the two inequalities:

a^2 < b*a

a*b < b^2

a*b = b*a

Then we can rewrite this as:

a^2 < b*a < b^2

This means that:

a^2 < b^2

b) Now we know that a.b > 0, and a^2 < b^2

With this, we want to prove that a < b

So let's start with:

a^2 < b^2

only with this, we can know that a*b will be between these two numbers.

Then:

a^2 < a*b < b^2

Now just divide all the sides by a or b.

if we divide all of them by a, we get:

a^2/a < a*b/a < b^2/a

a < b < b^2/a

In the first part, we have a < b, this is what we wanted to get.

Another way can be:

a^2 < b^2

divide both sides by a^2

1 < b^2/a^2

Let's apply the square root in both sides:

√1 < √( b^2/a^2)

1 < b/a

Now we multiply both sides by a:

a < b

Answer:

Symmetry in a regular nonagon

A regular nonagon has 9 lines of symmetry and a rotational symmetry of order 9, meaning that it can be rotated in such a way that it will look the same as the original shape 9 times in 360°. Nine 40° of rotation about the center.

Step-by-step explanation:

Answer:

8 of them would probably fit on there

Answer:

Second answer choice

Step-by-step explanation:

Good luck

Answer:

6/y8

Step-by-step explanation:

Answer:

1, 2.5 at the top and 50 at the bottom