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3 years ago

Which algebraic expression represents the perimeter of the rectangle? 2x + 2 4x + 3

Mathematics

2 answers:

Colt1911 [192]3 years ago

5 0

Answer:

12x + 10

Step-by-step explanation:

Combine the like terms. 4x + 2x and 2 + 3. Parallel sides, 6x times 2 which is 12x. 5 times 2 which is 10. Therefore, your answer is 12x + 10

Lapatulllka [165]3 years ago

4 0

I’m pretty sure it’s the 3rd one

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4. Gloria the grasshopper is working on her hops.

aivan3 [116]

The path that Gloria follows when she jumped is a path of parabola.

The equation of the parabola that describes the path of her jump is $\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

The given parameters are:

$\mathbf{Height = 20}$

$\mathbf{Length = 28}$

<em>Assume she starts from the origin (0,0)</em>

The midpoint would be:

$\mathbf{Mid = \frac 12 \times Length}$

$\mathbf{Mid = \frac 12 \times 28}$

$\mathbf{Mid = 14}$

So, the vertex of the parabola is:

$\mathbf{Vertex = (Mid,Height)}$

Express properly as:

$\mathbf{(h,k) = (14,20)}$

A point on the graph would be:

$\mathbf{(x,y) = (28,0)}$

The equation of a parabola is calculated using:

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

Substitute $\mathbf{(h,k) = (14,20)}$ in $\mathbf{y = a(x - h)^2 + k}$

$\mathbf{y = a(x - 14)^2 + 20}$

Substitute $\mathbf{(x,y) = (28,0)}$ in $\mathbf{y = a(x - 14)^2 + 20}$

$\mathbf{0 = a(28 - 14)^2 + 20}$

$\mathbf{0 = a(14)^2 + 20}$

Collect like terms

$\mathbf{a(14)^2 =- 20}$

Solve for a

$\mathbf{a =- \frac{20}{14^2}}$

$\mathbf{a =- \frac{20}{196}}$

Simplify

$\mathbf{a =- \frac{5}{49}}$

Substitute $\mathbf{a =- \frac{5}{49}}$ in $\mathbf{y = a(x - 14)^2 + 20}$

$\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

Hence, the equation of the parabola that describes the path of her jump is $\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

See attachment for the graph

Read more about equations of parabola at:

brainly.com/question/4074088

7 0

2 years ago

Which expressions is equivalent to 2r+(t+r)

azamat

Answer:

t+3r

Step-by-step explanation:

This is a one step solution

All you do is add like terms

In this case the only like terms are the varibles r

2r+(t+r)

so if you add all of the rs together there would be 3rs

So the rest of the problem would continue as normal while bringing the 3r to the end

t+3r

8 0

3 years ago

In order for students to have a club at school they need a minimum of 23 students if there are 17 students signed up for the clu

Ivan

The answer is 6
Explanation: STEP BY STEP

3 0

3 years ago

What is 24-4=m(41-1)

dybincka [34]

Answer:

m= 1/2 or 1 over 2 or m=0.5

6 0

3 years ago

5000 ones = how many hundreds?

kenny6666 [7]

<span>Five Thousand ones equals Fifty hundred ones; this can be understood by moving the numerical comma on place 5,000 becomes 50,00; to change the notation you can also divide 5,000 by 100 which equals 50. Therefore it equals 50 hundred ones. By simple division you can arrive at the answer for this.</span>

5 0

3 years ago