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kaheart [24]
3 years ago
14

1. Show that

Mathematics
1 answer:
Eddi Din [679]3 years ago
6 0

Answer:

 (10a+5)²= 100 a( a+1) + 25

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given

     (10a+5)²

By using (a+b)² = a² +2ab +b²

                   = (10a)²+ 2 × 10a× 5 + (5)²

                   = 100a² + 100a + 25

                   = 100 a( a+1) + 25

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The table represents the observed number of leaves y on x branches of a tree. Calculate the rate of change between 3 and 4 branc
Dennis_Churaev [7]

Answer:

<h2>25</h2>

Step-by-step explanation:

The rate of change of number of tree y on x branches of a tree is expressed as shown;

m = Δy/Δx where;

m is the rate of change

Δy is the change in number of leaves  between 3 and 4

Δx is change in number of branches  between 3 and 4

m = Δy/Δx = y₂-y₁/x₂-x₁

From table between 3 and 4, y₂ = 100, y₁ = 75, x₂ = 4, x₁ = 3

m = 100-75/4-3

m = 25/1

m = 25

<em>Hence the rate of change between 3 and 4 branches is 25</em>

5 0
3 years ago
Graph a line through the point (-3, 2) with a slope of -2/5
Margaret [11]

Answer: y= -2/5x + 2

Step-by-step explanation:

Y= Mx + b

M is the slope

B is the y intercept

The y intercept will be out on the y axis

The slope will be rise over run ( do you first then do to the right!)

5 0
3 years ago
What is the equation of a line passing through the points (-4,3) and (-1,6)?(slope intercept form)
rosijanka [135]
(6 - 3)/(-1 +4)= 3/3= 1 is the slope

y - 3 = x + 4

y = x + 7
4 0
3 years ago
Aden spent $10 on a mug and then sold it, making 20% profit, how much did he sell the mug for
NikAS [45]

Answer: $2

Step-by-step explanation: 20 percent of 10 is 2

Hope I did this right

5 0
3 years ago
Ted tossed a coin several times and recorded the number of heads and tails in the following table:
sineoko [7]
<h2>Answer:</h2>

Option: D is the correct answer.

                     D.  0.45

<h2>Step-by-step explanation:</h2>

The results of the experiment are given as follows:

Coin Experiment Side of Coin Number of Tosses

                              Heads                           18

                               Tails                             22

This means that total 40 experiments were performed.

( Since 18+22=40)

Also, the number of times head turn up=18

Hence, the experimental probability of getting heads is:

Ratio of number of times head turn up to the total number of experiments performed.

Hence,

Probability=\dfrac{18}{40}\\\\\\Probability=0.45

   Hence, the experimental probability of getting head is:

                                         0.45

3 0
3 years ago
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