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3 years ago

Siulodz

Mathematics

1 answer:

daser333 [38]3 years ago

8 0

Factors of trinomial $16x^2 + 24x+ 9$ are (4x+3)(4x+3)

So, Option A is correct.

Step-by-step explanation:

Finding factors of trinomial: $16x^2 + 24x+ 9$

Solving:

$16x^2 + 24x+ 9\\=16x^2+12x+12x+9\\=4x(4x+3)+3(4x+3)\\=(4x+3)(4x+3)$

So, factors of trinomial $16x^2 + 24x+ 9$ are (4x+3)(4x+3)

So, Option A is correct.

Keywords: Factors of trinomial

Learn more about Factors of trinomial at:

#learnwithBrainly

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(m-5)(m-2) simplified

Veronika [31]

Answer:

Its probably m2 -7m + 10

5 0

3 years ago

A jumping spider's movement is modeled by a parabola. The spider makes a single jump from the origin and reaches a maximum heigh

aleksklad [387]

The spider's movement is an illustration of a parabola.

The equation of a parabola is: $\mathbf{y = -\frac{1}{160}(x - 40) + 10}$
The focus of a parabola is: (40,-30)
The axis of symmetry is: $\mathbf{x = 40}$
The directrix is: $\mathbf{y = 50}$

<u>(a) The equation</u>

The spider passes through the origin.

So, we have:

$\mathbf{(x,y) = (0,0)}$

The spider jumps to a maximum height of 10mm, midway 80mm.

So, the vertex is:

$\mathbf{(h,k) = (40,10)}$

The equation of a parabola is:

$\mathbf{y = a(x - h)^2 + k}$

So, we have:

$\mathbf{0 = a(0 - 40)^2 + 10}$

Subtract 10 from both sides

$\mathbf{a(0 - 40)^2 =- 10}$

$\mathbf{1600a =- 10}$

Solve for a

$\mathbf{a =- \frac{1}{160}}$

Substitute $\mathbf{a =- \frac{1}{160}}$ and $\mathbf{(h,k) = (40,10)}$ in $\mathbf{(h,k) = (40,10)}$

$\mathbf{y = -\frac{1}{160}(x - 40) + 10}$

<u>(b) The focus, directrix and the axis of symmetry</u>

The focus of a parabola is:

$\mathbf{Focus= (h, k + p)}$

Where:

$\mathbf{p = \frac{1}{4a}}$

So, we have:

$\mathbf{p = \frac{1}{4 \times -1/160}}$

$\mathbf{p = -\frac{160}{4}}$

$\mathbf{p = -40}$

So, we have:

$\mathbf{Focus = (40,10-40)}$

$\mathbf{Focus = (40,-30)}$

The axis of symmetry is:

$\mathbf{x = h}$

So, we have:

$\mathbf{x = 40}$

The directrix is:

$\mathbf{y = k - p}$

$\mathbf{y = 10 + 40}$

$\mathbf{y = 50}$

Read more about parabolas at:

brainly.com/question/25237745

4 0

3 years ago

Four less than 5 times a number

Andrew [12]

Answer:

5n - 4

Step-by-step explanation:

<u>Step 1: Convert words into an expression</u>

Four less than 5 times a number

5n - 4

Answer: 5n - 4

4 0

3 years ago

Read 2 more answers

Graph the system of equations below on a piece of paper. What is the solution? TW y=x-1 y=-2x+5

d1i1m1o1n [39]

<h2>Given↷</h2>

A system of equations

y= x-1
y= -2x+5

The solution to the system of equations

<h2>Answer↷</h2>

(2,1)

<h2>Solution↷</h2>

y = x -1 _ _ _ _ _ _(1)

y=-2x+5_ _ _ _ _ _(2)

subtracting equation 2 from equation 1,

we get,

x -1 = y

-(-2x +5 = y)

__________

3x -6 = 0

3x = 6

x = 6/3

x = 2

___________

Plugging the value of x in equation 1,

y= 2-1

y= 1

hence, the solution of this system of equation is (2,1)

7 0

2 years ago

Read 2 more answers

PLEASE ANSWER!!!!!!!!

gregori [183]

Answer:

$5.24

Step-by-step explanation:

First, we need to find how many of each coin type we have. For pennies and dimes, we can take the percentage and divide by two for the number of coins.

18 / 2 = 9 pennies

36 / 2 = 18 dimes

We also know that there are three more nickels than there are dimes.

9 + 3 = 12 nickels

We can subtract the total number of nickels, pennies, and dimes from the total number of coins to get the number of quarters.

50 - 39 = 11 quarters

Then, we do the math to find the value.

9 x 0.01 = 0.09

18 x 0.10 = 1.80

12 x 0.05 = 0.60

11 x 0.25 = 2.75

2.75 + 1.80 + 0.60 + 0.09 = $5.24

4 0

3 years ago