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3 years ago

14

An expression is shown below:

1 answer:

ladessa [460]3 years ago

6 0

4(m+3+5m) 4(m+3+5m)
4(6m+3) 4(6m+3)
4x6m+12 or 4x3(2m+1)
= 24m+12 = 12(2m + 1 )

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Find three positive consecutive integers such that the product of the smallest and the largest is 17 more than three times the m

trapecia [35]

There are two answers to this question
the first possible answer is 5, 6, and 7 and the second possible answer is -4, -3, and -2

Step-by-step explanation:

let the three numbers be (x-1), x, and (x+1)
the product of the smallest and largest number is 17 more than 3 times the middle number, or
(x-1)(x+1) = 3x+17, or
x^2-1 = 3+17, or
x^2-3x-18 = 0
(x-6)(x+3) = 0
So x = 6 or -3
Then just subtract one and add one to get the other integers. the three numbers are 5, 6, and 7 or -4, -3, and -2

3 0

2 years ago

Suppose r(t)=costi+sintj+3tk represents the position of a particle on a helix, where z is the height of the particle above the g

Ilia_Sergeevich [38]

a. The $\vec k$ component tells you the particle's height:

$3t=16\implies t=\dfrac{16}3$

b. The particle's velocity is obtained by differentiating its position function:

$\vec v(t)=\dfrac{\mathrm d\vec r(t)}{\mathrm dt}=-\sin t\,\vec\imath+\cos t\,\vec\jmath+3\,\vec k$

so that its velocity at time $t=\frac{16}3$ is

$\vec v\left(\dfrac{16}3\right)=-\sin\dfrac{16}3\,\vec\imath+\cos\dfrac{16}3\,\vec\jmath+3\,\vec k$

c. The tangent to $\vec r(t)$ at $t=\frac{16}3$ is

$\vec T(t)=\vec r\left(\dfrac{16}3\right)+\vec v\left(\dfrac{16}3\right)t$

4 0

2 years ago

What is the length of side PQ?<br> A. 48<br> B. 24<br> C. 40<br> D. 18

kicyunya [14]

6 × 2 = 12 so 6 is the dilation factor

thus 4 × 6 is PQ which is 24

4 0

2 years ago

Read 2 more answers

Simplify fully<br> 2x power two + 9x + 10 ÷ 2x+5 <br> pls need answer quickly

Lunna [17]

Answer:

2x^2+14x+5

Step-by-step explanation:

x^2+9x+5x+5

Combine Like Terms:

=2x^2+9x+5x+5

=(2x^2)+(9x+5x)+(5)

=2x^2+14x+5

7 0

3 years ago

Can someone help me please

Margarita [4]

Answer:

46

Step-by-step explanation:

Solution :

Remember that the sum of complementary angles is always 90°.

First, finding the value of x :

Set up an equation :

( Being complementary angles )

Solve for x

{ Remove unnecessary parentheses }

{ Combine like terms }

{ Subtract 3 from 30 }

{ Move 27 to right hand side and change it's sign }

{ Subtract 27 from 90}

{ Divide both sides by 9 }

The value of X is 7°

Now, Replacing the value of x in order to find the value of B

{ Plug the value of x }

{ Multiply 7 by 7 }

{ Subtract 3 from 49 }

The measure of B is 46°

7 0

2 years ago