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3 years ago

Draw a line from each figure to an area

Mathematics

1 answer:

Georgia [21]3 years ago

3 0

Answer:

A=27 cm^2

B=24 cm^2

C=26 cm^2

D=28 cm^2

Step-by-step explanation:

Break each problem down into individual shapes.

For instance, A can be split into a 3 by 3 square and a 6 by 3 square.

Get the area by multiplying the length & height: A = L * H

For the triangles the area is the same equation divided by 2 A=LH/2

Shapes with unclear dimensions like C can be skipped and have their area revealed through process of elimination.

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Multiply (5 + 3i)(5 − 3i) 16 + 15i 16 − 15i 16 34

Annette [7]

Answer:

(5 + 3i)(5 − 3i) = 34

Step-by-step explanation:

The multiplication of two identical binomials who have different symbol, can be solved using the factoring case of a difference of squares:

$(a-b).(a+b)=a^{2}-b^{2}$

So, in this case:

$(5+3i).(5-3i) = 5^{2}-(3i)^{2}$

$=25-9i^{2}$

Remember that $i=\sqrt{-1}$

So: $i^{2}=-1$

We replace on the polynomial:

$=25-9.(-1) = 25+9=34$

3 0

3 years ago

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Help Asap if i can i will give brainliest

Aleonysh [2.5K]

Answer:

10x+2y

8c+2

Step-by-step explanation:

6 0

3 years ago

Michael can buy 4 sandwiches and 3 cups of coffee for $23.75. Amy can buy 2 sandwhiches and 5 cups of coffee for $19.75 how much

Kobotan [32]

Answer: The cost of one sandwich is $4.25 and the cost of one cup of coffee is $2.25.

Step-by-step explanation:

Let x be the cost of one sandwich and y be the cost of one cup of coffee.

By considering the given situation, we have the following equations :-

$4x+3y=23.75.................(1)\\\\2x+5y=19.75................(2)$

Multiply 2 on both sides of equation (2) , we get

$4x+10y=39.5................(3)$

Subtract equation (1) from equation (3), we get

$7y=15.75\\\\\Rightarrow\ y=\dfrac{15.75}{7}=2.25$

Put value of y in (1), we get

$4x+3(2.25)=23.75\\\\\Rightarrow\ 4x+6.75=23.75\\\\\Rightarrow\ 4x =17\\\\\Rightarrow\ x=4.25$

Hence, the cost of one sandwich is $4.25 and the cost of one cup of coffee is $2.25.

8 0

3 years ago

George is tracking the growth of his tomato plant. It is currently 13 cm tall and grows 2 cm per day.

Hoochie [10]

Answer:

growth = 2 x day

^growth based off what day it is

^how much it grows per day

^ day at hand

2x14 (2 weeks)= 28 cm

7 0

3 years ago

Helppp lol which system of linear equations is represented by the graph?

kondaur [170]

Answer:

y ≥ x - 2, and x + 2y < 4 ; Option C

Step-by-step explanation:

Consider the y - intercept and slope of 1 of these given lines,

$y - intercept = ( 0, - 2 ) / - 2\\slope = 1 / 1 = 1$

From this we can formulate the equation of 1 line;

$Take Equation In the Form - y = ax + b, a - slope, and , b - y intercept,\\y = ax + b, a = 1, b = - 2,\\Equation of Line 1 - y = x - 2$

Now consider the y - intercept and slope of the remaining line;

$y - intercept = ( 0, 2 ) / 2\\slope = 1 / - 2 = - \frac{ 1 }{ 2 }$

This creates a line with the equation as such;

$Take Equation In the Form - y = ax + b, a - slope, and , b - y intercept,\\y = ax + b, a = - 1 / 2, b = 2,\\Equation of Line 1 - y = - \frac{ 1 }{ 2 } x + 2, x + 2y = 4$

From this we see that the solution of the system is such;

Solution ; y ≥ x - 2, and x + 2y < 4 ; Option C

6 0

4 years ago