The sum of a number and two less than twice the number is twenty two.
(as an equation)

Answer:

[tex]y = 2 (x-7)^{2} +6[/tex] is the equation of parabola.

Step-by-step explanation:

Vertex form of a parabola is given as :

[tex]y = a (x-h)^{2} +k ...... (1)[/tex]

(h,k) is the co-ordinate of vertex of parabola.

(x,y) are the points on parabola.

We are given that vertex is at (7,6) and a point on parabola is (6,8).

h = 7

k = 6

x = 6 and

y =8

Putting all the values in equation (1):

[tex]8 = a (6-7)^{2} +6\\\Rightarrow 8 = a + 6\\\Rightarrow a = 2[/tex]

Putting values of (h,k) and a in equation (1) to obtain the equation of parabola:

[tex]y = 2 (x-7)^{2} +6[/tex] is the equation of parabola with vertex at (7,6) and contains the point (6,8).

Answer:

Step-by-step explanation:

y = 2x2 – 28x + 52

wrong its not that

Answer:

1/3

Step-by-step explanation:

pyramid height = cube height , a = h (GIVEN)

[tex]so, v= \frac{1}{3} * a^{2} * h = \frac{1}{3} * a^{3}\\a = \sqrt[3]{3v} = \sqrt[3]{3*729} = 13 in\\\\cube volume = a^{3} = 13^{3} = 2187 in^{3} \\\\ratio = \frac{729}{2187}= \frac{1}{3} (ANS)[/tex]

The fraction 33/8 to a mixed number is 4 1/8

From the question, we have the following parameters that can be used in our computation:

Number = 33/8

Divide 33 by 8

So, we have

Quotient = 4

Next, we have

Remainder = 33 - 4 * 8

Evaluate the products

Remainder = 1

Hence, the fraction to a mixed number is 4 1/8

Read more about fraction at

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Answer:

cool

Step-by-step explanation:

Answer:

1. B) 5.7

2. A) 12

3. A) 11.4

4. A) 5.7

5. A) 16.2

6. A) 11.2

7. No, they do not form a right triangle

8. Yes, they do form a right triangle

Step-by-step explanation:

Extra tip: The hypotenuse has to be less than both sides added together, but cannot be more than either of the sides alone.

1.

16² + b² = 17²

256 + b² = 289

256 - 256 + b² = 289 - 256

b² = 33

√b² = √33

b = 5.74 or 5.7

2.

16² + b² = 20²

256 + b² = 400

256 - 256 + b² = 400 - 256

b² = 144

√b² = √144

b = 12

3.

7² + 9² = c²

49 + 81 = c²

130 = c²

√130 = √c²

11.40 or 11.4 = c

4.

7² + b² = 9²

49 + b² = 81

49 - 49 + b² = 81 - 49

b² = 32

√b² = √32

b = 5.65 or 5.7

5.

a² + 5² = 17²

a² + 25 = 289

a² + 25 - 25 = 289 - 25

a² = 264

√a² = √264

a = 16.24 or 16.2

6.

10² + b² = 15²

100 + b² = 225

100 - 100 + b² = 225 - 100

b² = 125

√b² = √125

b = 11.18 or 11.2

7.

15² + 8² = 16²

225 + 64 = 256

289 ≠ 256

8.

5² + 12² = 13²

25 + 144 = 169

169 = 169

Answer:

shown below

explanation:

first off, you get the like terms which is 10 and 134

12x=134+10

12x=144

then you simplify which will look like this:

12x. 144

___ = ___

12. 12

144÷12=12

so the answer is option c.12

Answer:

4x-3=2x+7

4x-2x=7+3

2x=10

10/2x=5

therefore x=5

....hope this helps

[tex]4x-3=2x+7\\4x-2x=7+3\\2x=10\\x=5[/tex]

Answer:

In elementary algebra, the quadratic formula is a formula that provides the solution(s) to a quadratic equation. There are other ways of solving a quadratic equation instead of using the quadratic formula, such as factoring (direct factoring, grouping, AC method), completing the square, graphing and others.

Step-by-step explanation:

hope that helps love!

Answer:

In elementary algebra, the quadratic formula is a formula that provides the solution(s) to a quadratic equation. There are other ways of solving a quadratic equation instead of using the quadratic formula, such as factoring (direct factoring, grouping, AC method), completing the square, graphing and others.

That's what google says :)

Step-by-step explanation:

Answer:

25 mm < 3 cm

Step-by-step explanation:

Change cm to mm

1 cm = 10 mm

3 cm = 3*10 = 30 mm

25 mm < 30 mm

Answer:

Just write whatever it says so quotient means divide, more means add, and product means multiply

x/4+1

Make your the equation is in order by checking the words after, than, next to see if the equation is in order

Hope this helps

If you have any questions you can ask

Step-by-step explanation:

Answer:

it has 3

Step-by-step explanation:

Answer: 5 is the answer

Answer:

1466 2/3 mg of sodium

Step-by-step explanation:

We can use a ratio to solve

550 mg         x mg

------------- = --------------

6 ounces       16 ounces

Using cross products

550* 16 = 6x

Divide each side by 6

550*16 /6 = 6x/6

8800/6 =x

4400/3 =x

Change to a mixed number

1466 2/3 mg of sodium

Answer:

1466⅔ mg

Step-by-step explanation:

oz : mg

6 : 550

16 : X

X/16 = 550/6

X = 550/6 × 16

X = 4400/3

X = 1466⅔ mg

Answer:

it's most likely 4,000 kilometers because centimeters are a very small rate of measurement and the distance between the 2 landmarks are very far away

Answer:

9. x = 16

10. x = 18

Step-by-step explanation:

9. 2x + 9 + 3x + 1 = 90

5x + 10 = 90

5x + 80

x = 16

10. 90 - 53 = 47

2x + 11 = 47

2x = 36

x = 18

Answer:

8y = - 6

Step-by-step explanation:

Given the 2 equations

x + 6y = 9 → (1)

- x + 2y = - 15 → (2)

Adding the 2 equations term by term gives

(x - x) + (6y + 2y) = (9 - 15), that is

8y = - 6

Answer:

8y = -6

Step-by-step explanation:

I got it right on Edge 2020

Also: Plug in the slope 8 and the y-intercept -6 to check the answer. It is correct.

Answer:

-1.25

Step-by-step explanation:

Your points one the graph are (-4,4) and (0,-1)

Formula for slope is y1-y2/x1-x2

4--1/-4-0

5/-4

-1.25

Answer:

∠ D = 35°

Step-by-step explanation:

∠ D is formed by a tangent and a secant and is one half the difference of the measure of the intercepted arcs, that is

∠ D = 0.5( arc EH - arc GE )

      = 0.5(95 - 25)° = 0.5 × 70° = 35°

Answer:

see below

Step-by-step explanation:

1. 2m = 24

Divide each side by 2

2m/2 = 24/2

m = 12

2. y – 9 = 30

Add 9 to each side

y-9+9 = 30+9

y = 39

3. X/4 = 12

Multiply each side by 4

x/4*4 = 12*4

x = 48

4. k + 12.5 = 30

Subtract 12.5 from each side

k+12.5-12.5 = 30-12.5

k =17.5

5. 3r = 15.3

Divide by 3

3r/3 = 15.3/3

r =5.1

Hey!!!!

Here's your answer:

1. 2m=24

or,m=24/2

m=12

2. y-9=30

or,y=30+9

y=39

3. 3x=12

or,X=12/3

x=4

4. k+12.5=30

or,k=30-12.5

k=17.5

5. 3r=15.3

or,r=15.3/3

r=5.1

Good luck on your assignment

I tried answering this question but got it wrong. Please ignore this message D:

Answer:

You do in some situations have to break apart a solid figure in a certain way to find it's volume. Everything is made up out of some type of shape. You just have to find the right formula. Some solid figures you might have a cube and a pyramid. Each one of those has it's specail way of finding volume.

Step-by-step explanation:

Step-by-step explanation:

middle section= 390

sides=270

total=930 chairs

Answer: if this is multiple choice It’s

B. A syllogism

Step-by-step explanation:

Answer:

q 1 is 24.5 and q3 is 34  

Step-by-step explanation:

bye my luvvv

Answer:

50 ft

Step-by-step explanation:

This is the pythagorean theorem, so you should use the formula...

a squared + b squared = c squared

Then substitute in the numbers... (remember, a and b are the legs, and c is the hypotenuse)

14 squared + 48 squared = c squared

14 squared = 14 x 14 = 196

Now we have 196 + 48 squared = c squared

48 squared = 48 x 48 = 2,304

Now we have 196 + 2,304 = c squared

Add them together - 2,304 + 196 = 2,500

Now we have 2,500 = c squared

We find the square root of 2,500 which is 50

You should now have 50 = c

That is your answer. Don't forget to add units.

50 ft is your hypotenuse (c)

I hoped this helped

Answer: the missing length is 50

Step-by-step explanation:

in order to figure out the missing number, you have to do the pythagorean theorem, which is a²+b²=c². A is 14 ft, B is 48 ft, and C is the missing length. You have to square each number. 14 will be 196 and 48 would be 2304.

MARK AS BRAINLIEST!!!

Answer:

The optimal volume is 63.1142 in3, with a cut of 1.5767 inches

Step-by-step explanation:

If we make a cut of x inches to create the box, the dimensions of the box will be:

Length = 10 - 2x

Width = 9 - 2x

Height = x

So the volume of the box would be:

Volume = (10 - 2x) * (9 - 2x) * x

Volume = 4x3 - 38x2 + 90x

To find the maximum volume, we need to take the derivative of the volume and find the values of x where it is equal to zero:

dV/dx = 12x2 - 76x + 90 = 0

6x2 - 38x + 45 = 0

Using Bhaskara's formula, we have:

Delta = 38^2 - 4*6*45 = 364

sqrt(Delta) = 19.08

x1 = (38 + 19.08) / 12 = 4.7567

x2 = (38 - 19.08) / 12 = 1.5767

Testing these values in the volume equation, we have:

Volume1 = 4*(4.7567)^3 - 38*(4.7567)^2 + 90*(4.7567) = -1.1883

(Negative value for the volume is not valid)

Volume1 = 4*(1.5767)^3 - 38*(1.5767)^2 + 90*(1.5767) = 63.1142

So the optimal volume is 63.1142 in3, with a cut of 1.5767 inches

Answer:

[tex]y = - 3[/tex]

Step-by-step explanation:

[tex]5(y + \frac{2}{5} ) = - 13 \\ 5y + \frac{10}{5} = - 13 \\ 5y + 2 = - 13 \\ 5y = - 13 - 2 \\ 5y = - 15 \\ \frac{5y}{5} = \frac{ - 15}{5} \\ y = - 3[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

145

Step-by-step explanation:

The the that connects the outside line to the inside line will equal to 180 so you take 180 minus 137 to get 43 and you have two angles for the inside which is 43 and 102. You minus these two number to 180 to get the last missing angle in a triangle because the inside of a triangle is 180 and then minus 180 to 35(Last angle measure) to get the outside of the triangle and you get 145.

Answer:

?=145°

Step-by-step explanation:

The angle 137° is a supplementary angle. So subtract 137 from 180 to find the adjacent angle:

[tex]180-137=43[/tex]

The angle adjacent the angle 137° is 43°. Add this value to the angle measure in the triangle:

[tex]102+43=145[/tex]

Two angle measures within the triangle add up to 145°. The angle measures of a triangle should add up to 180°. Subtract:

[tex]180-145=35[/tex]

The third angle in the triangle is 35°. This angle is also a supplementary angle. Subtract this from 180 to find the measure of angle ?:

[tex]180-35=145[/tex]

The angle ? is 145°.

or

The outer angle of a triangle (angle ?) can be found by finding the sum of the two angles within a triangle, not including the adjacent angle (or ?'s supplementary angle). So find the measure adjacent 137°:

[tex]180-137=43[/tex]

Add the two inner angle measure together:

[tex]43+102=145[/tex]

So angle ? is 145°.

:Done

Losers Club units again my pal

Step-by-step explanation:

sosos

Answer:

10 degrees on Tuesday.

But only if the whole question states Monday was -5 degrees and it increases by 15 degrees.

Step-by-step explanation:

Answer:

Yes i think it is misleading because five employees get 10.50 wich is 2.50 less than the avrege and the sixth employee is getting 24 dollars. Wich is a lot more than the averege.

Step-by-step explanation: