Answer:
Option D The solution of the system is the point (-3,5)
Step-by-step explanation:
we have
x+y=2 -----> equation A
y=-2x-1 ------> equation B
Solve the system by substitution
Substitute the equation B in equation A and solve for x
x+(-2x-1)=2
-x-1=2
x=-2-1
x=-3
Find the value of y
y=-2x-1
y=-2(-3)-1
y=5
therefore
The solution of the system is the point (-3,5)
The equation that represents the array (rectangles and area) multiplication model that sows two grey shaded columns of length one ninth each and three rows with dots of width one fourth each is option <em>a</em>
a) The equation with fractions two ninths times three fourths is equal to six thirty sixths

<h3>What is an array (area) multiplication model?</h3>
An array representation of a multiplication is a rectangular visual order of positioning of rows and columns that indicates the terms of a multiplication equation.
Please find attached the area model to multiply the fractions
The terms of the equation represented by the model are indicated by the two columns of length one ninth each shaded grey and the three rows of width one fourth each covered with dots, such that the equation can be presented as follows;

The equation that the model represents is therefore;
- The equation with fractions two ninths times three fourths is equal to six thirty sixths
Learn more about multiplication models here:
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A) For object with mass m1,
F = m1 * 3
m1 = F/3
For object with mass m2,
F = m2 * 1
m2 = F
Ratio of m1/m2
(F/3) / F = 1/3
Let
x------> the first even integer
x+2---->the second even integer
x+3---->the third even integer
we know that
-----> equation that represent the situation
solve for x
Combine like terms in the left side


therefore
<u>the answer is the option B</u>

You would probably need a little larger sample of people because not all people wear corrective lenses. In almost any other survey, this would be a scientist’s dream, but in this one, you’d need it to be a little bigger.