The side length of an equilateral triangle is 4X +2 which expression represents the perimeter of the triangle

Answer:

a = -2 or a = -5

Step-by-step explanation:

We want [tex]f(a) = a^2 + 7a + 12 = 2[/tex]. We can subtract 2 from both sides of this equation to get [tex]a^2+7a+10=0[/tex]. We can factor this to get that [tex](a+2)(a+5)=0[/tex]. When the product of two numbers is equal to zero, one of the numbers must be equal to zero. This means that either a + 2 = 0, in which case a = -2, or a + 5 = 0, in which case a = -5.

Answer:

a) 3s

B) 144m

C) 6s

Step-by-step explanation:

Given the height modeled by the function;

H(T) = -16t^2 + 96t,

The body will reach its maximum height when dh/dt = 0 (when velocity is zero)

dh/dt = -32t + 96

0 = -32t + 96

32t = 96

t = 96/32

t = 3s

Hence it will take the projectile 3s to reach its maximum height'

B) To get the maximum height we will substitute t = 3 into the equation

H(T) = -16t^2 + 96t,

H(3) = -16(3)^2 + 96(3)

H(3) = -144+ 288

H(3) = 144m]

Hence the maximum height is 144m

C) The projectile reaches the ground at h = 0

H(T) = -16t^2 + 96t,

0= -16t^2 + 96t,

16t² = 96t

16t = 96

t = 96/16

t = 6

Hence it will take the projectile 6s to reach the ground again

Answer:

76

Step-by-step explanation:

Answer:

494 divided by 6.5 =76

Step-by-step explanation:

Answer: A 2,2

Step-by-step explanation: 1 - 1 something

Answer:

The answer is C

Answer:

36

Step-by-step explanation:

2x•2x=4x

4x-2x=2x

72÷2=36

Answer:

Step-by-step explanation:

if the triangles are similar their sides should be in proportion so

(56/70)=(48/60) and they are in proportion because .8 = .8

ΔNQR ~ ΔNLM

Answer:

SR=15units

‹RTQ=90° since ‹RTQ and ‹RTS are supplementary

Given that ‹RTQ is a right angle then RTQ is a right-angled triangle making RQ the hypotenuse

With that knowledge we calculate RT using Pythagorean theorem

RT=√(20)²-(16)²

RT=√400-256

RT=√144=12units

Now for triangle RST, SR is the hypotenuse and should have the longest length whose adjacent,ST should also sum up with 16 to give a number which when combined will give the square root of the sum of the squares of RQ and SR

Plug in 9 for ST and SR becomes

√(12)²+(9)²=√144+81=√225=15 units

This is true because SQ=16+9=25 units

and using Triangle RSQ,

SQ=√(20)²+(15)²=√400+225=√625=25 units

Answer:

Step-by-step explanation:

Given quadratic formula

Standard form

Simplifying

Solving

Answer: B. 49 1 hour

Step-by-step explanation: hope this helps

Answer:

49 miles for 1 hour

Step-by-step explanation:

x axis is for hours, y axis is for miles the y axis is up to 49, and x is to 1 so it is B.

Answer:

81.6

Step-by-step explanation:

4 × 22 + 16 ÷ 4 - (4.9 + 5.5)

88 + 4 - (10.4)

81.6

==========================================================

Explanation:

There are 6 letters to pick from {A,B,C,D,E,F} and we have two slots to fill, where no repeats are allowed. This means we have 6*5 = 30 different ways to pick two letters.

There are 10 digits to pick from {0,1,2,...,9} and there are 3 slots to fill. This gives 10*9*8 = 720 different permutations for this portion.

Overall, we have 30*720 = 21600 different serial numbers possible.

Answer:

[tex]\frac{1}{8}[/tex]

Step-by-step explanation:

We know that the artist can complete [tex]\frac{1}{4}[/tex] of a painting in 2 weeks. So, we just have to find half of [tex]\frac{1}{4}[/tex] to find how much of a painting the artist can do in a week, which is [tex]\frac{1}{8}[/tex] because half of [tex]\frac{1}{4}[/tex] is [tex]\frac{1}{8}[/tex].

Hope this helps! :)

Answer:

The first blank which is in the first row would be 9

The second blank under the 5 is 100

The third blank below the 8 is 160

And the last blank is 240

Step-by-step explanation:

It you do 60 divided by 3, it would be 20, meaning each sweater costs $20.

Answer:

5 shirts=100. 8 shirts=160. 12 shirts.=240. 180$=9

Step-by-step explanation:

1 sweatshirt is 20. 60 divided by 3.

multiply 20 by the sweatshirt numbers for answers

Answer:

42

Step-by-step explanation:

Answer:

The answer is: 37

Step-by-step explanation:

The reason its this answer because first thing you have to do is the order operations Please Excuse My Dear Aunt Sally, since there is no parenthesis, or exponents we cross those out. Since, there is multiply we put in -14 where is x.

-3x-5=-3(-14)=5

Next, we multiply -3 and -14 and we get:

42, there reason its not a negative because two negatives equal to a positive.

There is Division or Addition, those are out. The only thing that is left Subtraction... So we are going to subtract 42-5 which equals;

37

I hope my answer helps!!

Answer:

[tex]890.75m^3[/tex]

Step-by-step explanation:

Step one:

given data

heigth/depth = 3.5m

radius= 9m

Step two:

The shape is that of a cylinder

Hence the volume of the pool is

[tex]V= \pi r^2h[/tex]

substitute

[tex]V= 3.142*9^2*3.5\\\\V=890.75 m^3[/tex]

Answer:

Shahwhehehehdjdjendbxbsnenenen

Answer:

(3 ⋅ x) - (-1/2)

Step-by-step explanation:

Since it says the product of 3 and a number, it can be written as 3 ⋅ x, where you need to multiply 3 by x, and it only says “a number” so you can just put x. Then, it says the difference of that product and -1/2. Now, you can put the product part in, which is 3 ⋅ x, and subtract that with -1/2 to get (3 ⋅ x) - (-1/2)

Hope this helps! :)

Answer:

(4,2)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Circumference = 2pi r

440 = 2 *22\7 *r

70 = r

Area= pi r^2

Area= 22\7 *70*70

Area =15400

Answer:

The line is super close to 15 or 20. So one of those for sure

Step-by-step explanation:

Answer: its got to be 15 because the line isn't on 20

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The number line does not end at -2 and the solution should exclude 3 as it is a hollow circle instead of a filled one.

Answer:

.33

Step-by-step explanation:

Answer:

x = 23

Step-by-step explanation:

m<1 and m<3 will be the same because they are vertical

m<3 and m<5 will be the same (I forgot their relationship)

which means m<5 and m<7 will be the same

which ALSO means that m<1 =7

So you know that m<1 = m<7 (4x -6 = 2x +40)

x = 23

Answer:

The answer is choices D.

Step-by-step explanation:

hope this helps

Answer:

00.398

Step-by-step explanation:

Answer:

Do you mean in expanded form? If so it's 0.3+0.09+0.008 I believe.

Answer:

27.9135

Step-by-step explanation: