Combine Like Terms
(4+7a^2)^2=

Answer:

566 ft

Step-by-step explanation:

Given the polynomial equation

-16t² + 300t + 30 = 0

We're asked to find how high the rocket would rise in a 2 second fuse rise. This is a simple instruction that can be obtained by setting the unknown, t, in the equation to 2. Doing this, we have

-16 * 2² + 300 * 2 + 30

-16 * 4 + 600 + 30

-64 + 630 = 566 ft

Then, we can therefore conclude that the rocket will rise high up to a distance of 566 ft

Answer:

(75+88+92+94+71+x)/6=85 x 1,21

Step-by-step explanation:

Answer:

substitute 2 for x

answer is B

Step-by-step explanation:

Answer:

Step-by-step explanation:

185.94

Answer:

yayayayayayauauaudadaddadadadaddadaad.lolllollololololo

Answer:

7/20

Step-by-step explanation:

Answer:7/10

Step-by-step explanation:

Here is the way that I think is the simplest method of changing a percentage a fraction. This percentage has two digits in it, so put it over a 1 and two zeros and then simplify. 35/100 is simplified to 7/20.

________________________________

Here, Distance covered by Lucas on Saturday

= 4x – 5 miles

Now, Distance covered by Lucas on Sunday

= 3x – 10 miles

________________________________

Hence, Difference between the distances

would be / –

Distance covered on Saturday – Distance covered on Sunday

= (4x – 5) – (3x – 10)

= 4x – 5 – 3x + 10

[ Because (– * + = – ) And ( – * – = +) ]

= 4x – 3x + 10 – 5

= 1x – 5

= x – 5 ( – Ans )

Hence, The difference between Distance covered ( In miles ) is ( x – 5 ) .

________________________________

Answer:

C

Step-by-step explanation:

7/9 x 6 = 4u 6/9

simpify it and you get 4u2/3

hope thus helps :)

Answer:

Of members(2) and of phone conversation (1) cuz they had two people and you had to call 1 at a time ☺

Answer:

3 on edge

Step-by-step explanation:

Just did the assignment

Answer:

x=2

Step-by-step explanation:

first we will distribute out everything

-2x +5 +4x+ 9 = 3(6 +4x)- 12x

(multiply 3 to both 6 and 4x)  

-2x +5 +4x+ 9= 18 +12x -12x

then combine like variables on both sides

(add -2x and 4x and add 5 and 9, for the other side add 12x and -12x)

2x+14= 18  

then isolate x

2x=4

x=2

and substitute x for 2 to double check

-2(2)+5+4(2)+9=3(6+4(2))-12(2)

18=18

therefore 2 is correct

Answer:

Step-by-step explanation: hope that helps

Answer:

1 and 2 is and 3 is not

Step-by-step explanation:

Answer:

The slope(M) is -6

Step-by-step explanation:

:)

Answer:

v = 165

Step-by-step explanation:

v/22 -0.1 = 7.4

v/22 = 7.4+0.1 =7.5

v = 7.5*22

v = 165

Answer:

[tex]v = 165[/tex]

1) Add 0.1 to both sides.

[tex] \frac{v}{22} = 7.4 + 0.1[/tex]

2) Simplify 7.4 + 0.1 to 7.5.

[tex] \frac{v}{22} = 7.5[/tex]

3) Multiply both sides by 22.

[tex]v = 7.5 \times 22[/tex]

4) Simplify 7.4 × 22 to 165.

[tex]v = 165[/tex]

Therefor, the answer is v = 165.

Answer:

The center of the circle is point: C=(1,5).

The radius of the circle is r=3.

Step-by-step explanation:

x² + y² -2x - 10y + 17 = 0

Find the center and radius of this circle

We have the equation

x² + y² -2x - 10y + 17 = 0

We collect like terms

x² - 2x + y² - 10y = -17

x² - 2x + (-2/2)² + y² - 10y + (-10/2)² = -17 + (-2/2)² + (-10/2)²

The center of the circle is point: C=(1,5).

The radius of the circle is r=3.

Answer:

I need points, sorry, i cant help

Step-by-step explanation:

Answer:

Step-by-step explanation:

First you need to calculate the entire length (in meters) of the metal used in the gate, then multiple the length by 2.5 kg per meter

Break it into parts.......

four pieces on along the outside is just the perimeter of a rectangle

         P = 2( L + H)        both sides and the top and bottom

the two crossing metal pieces are just the hypotenuse of a right triangle and since we have two pieces of metal

        a² + b² = c²     or   L² + H² = Hyp²          solving for the htpotenuse

                         Hyp = [tex]\sqrt[]{L^2 + H^2}[/tex]              

so the total length of the gate metal is

P = 2( L + H)    plus        2 Hyp = [tex]\sqrt[]{L^2 + H^2}[/tex]  

   = 2( 12 + 5)      +     2 [ √(12² + 5²) ]

   =       34          +   2 [ √( 144 + 25) ]

   =       34  +  2 ( √169)

   =       34 +  2( 13)

   =       34 + 26

   =     60 meters   of gate metal            metal weighs  2.5 kg per meter

  Total weight equals 60 meters   times    2.5 kg per meter

    Total weight = 60 (2.5)    =     150 kg

Answer:

The statement is true is for any [tex]n\in \mathbb{N}[/tex].

Step-by-step explanation:

First, we check the identity for [tex]n = 1[/tex]:

[tex](2\cdot 1 - 1)^{2} = \frac{2\cdot (2\cdot 1 - 1)\cdot (2\cdot 1 + 1)}{3}[/tex]

[tex]1 = \frac{1\cdot 1\cdot 3}{3}[/tex]

[tex]1 = 1[/tex]

The statement is true for [tex]n = 1[/tex].

Then, we have to check that identity is true for [tex]n = k+1[/tex], under the assumption that [tex]n = k[/tex] is true:

[tex](1^{2}+2^{2}+3^{2}+...+k^{2}) + [2\cdot (k+1)-1]^{2} = \frac{(k+1)\cdot [2\cdot (k+1)-1]\cdot [2\cdot (k+1)+1]}{3}[/tex]

[tex]\frac{k\cdot (2\cdot k -1)\cdot (2\cdot k +1)}{3} +[2\cdot (k+1)-1]^{2} = \frac{(k+1)\cdot [2\cdot (k+1)-1]\cdot [2\cdot (k+1)+1]}{3}[/tex]

[tex]\frac{k\cdot (2\cdot k -1)\cdot (2\cdot k +1)+3\cdot [2\cdot (k+1)-1]^{2}}{3} = \frac{(k+1)\cdot [2\cdot (k+1)-1]\cdot [2\cdot (k+1)+1]}{3}[/tex]

[tex]k\cdot (2\cdot k -1)\cdot (2\cdot k +1)+3\cdot (2\cdot k +1)^{2} = (k+1)\cdot (2\cdot k +1)\cdot (2\cdot k +3)[/tex]

[tex](2\cdot k +1)\cdot [k\cdot (2\cdot k -1)+3\cdot (2\cdot k +1)] = (k+1) \cdot (2\cdot k +1)\cdot (2\cdot k +3)[/tex]

[tex]k\cdot (2\cdot k - 1)+3\cdot (2\cdot k +1) = (k + 1)\cdot (2\cdot k +3)[/tex]

[tex]2\cdot k^{2}+5\cdot k +3 = (k+1)\cdot (2\cdot k + 3)[/tex]

[tex](k+1)\cdot (2\cdot k + 3) = (k+1)\cdot (2\cdot k + 3)[/tex]

Therefore, the statement is true for any [tex]n\in \mathbb{N}[/tex].

Answer:

c

Step-by-step explanation:

Answer:

x=12

Step-by-step explanation:

Before starting this question, you need to know that the total degree of any given triangle is 180 degrees.

Now looking at the question, we know one side is 90 degree since it is a right triangle.

180-90=90

This let us know that the remaining two angles will have to add up to equal to 90 degrees.

2x+1+5x+5=90

First, combine like terms.

7x+6=90

Now we have to get x by itself, subtract 6 on both sides then divide by 7.

7x=84

x=12

Answer:

150 boys

Step-by-step explanation:

equation:

⇒ 5x + 4x = 270

add like terms:

⇒ 9x = 270

divide 9 on both sides:

⇒ [tex]\frac{9x}{9} = \frac{270}{9}[/tex]

solve:

⇒ x = 30

take original equation and subtitute 30 for x;

⇒5 x 30 + 4 x 30 = 270

⇒ 150 + 120 = 270

We can see that if there were 270 students, 150 would be boys and 120 would be girls.

Answer:

a,d,e,f

Step-by-step explanation:

Answer:

Step-by-step explanation:

If we assume that the angle at A is 90 degrees.. which it does seem like it would be.  then use that the sum of the angles around the inside of a right triagle is 180 .   so  you have

180 = 37 + 90 + x

53° = x  

does that help?

Answer:

$2.90 %Step-by-step explanation:

because if you round it it would be close to 90 and if you mutiply 2 x 2 =4 x 89

Answer:

the second chaise is the answer

Answer:

d) 10

Step-by-step explanation:

x ÷ [tex]\frac{1}{2}[/tex]  + 8 = 13

substitute 10 for x:

⇒ 10 ÷ [tex]\frac{1}{2}[/tex]  + 8 = 13

solve:

1) divide 10 by [tex]\frac{1}{2}[/tex]

⇒ 10 ÷ [tex]\frac{1}{2}[/tex]  = 5

2) add 8 to 5

⇒ 8 + 5 = 13