Answer:
Domain -5 ≤x<1
Range -4 ≤y<7
Step-by-step explanation:
The domain is the values that x takes
X goes from -5 included to 1 not included
-5 ≤x<1
The range is the values that y takes
y goes from -4 included to 7 not included
-4 ≤y<7
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Explanation:
It helps to understand the process of multiplying the binomials. Consider the simple case ...
(x +a)(x +b)
The product is ...
(x +a)(x +b) = x² +(a+b)x + ab
If the <em>constant</em> term (ab) is <em>negative</em>, the signs of (a) and (b) are <em>different</em>.
If the constant term (ab) is <em>positive</em>, the signs of (a) and (b) will both match the sign of the coefficient of the linear term (a+b).
___
Of course, the sum (a+b) will have the sign of the (a) or (b) value with the largest magnitude, so when the signs of (a) and (b) are different, the factor with the largest magnitude will have the sign of (a+b), the x-coefficient.
<u>Example</u>:
x² -x -6
-6 tells you the factors will have different signs. -x tells you the one with the largest magnitude will be negative.
-6 = -6×1 = -3×2 = ... (other factor pairs have a negative factor with a smaller magnitude)
The sums of these factor pairs are -5 and -1. We want the factor pair that has a sum of -1, the coefficient of x in the trinomial.
x² -x -6 = (x -3)(x +2)
Answer:
Answer is 135 plant
Step-by-step explanation:
We have given that,
In 5 min Renee can plant 15 plant.
That means in one minute Renee can plant plant.
i.e. Rate of planting = 3 plant per minute
So, In 45 minutes , she can plant 45×3 plant
i.e Plant she can plant in 45 minute = 135 plant
Answer:
Yes; Opposite sides are congruent, and diagonals are congruent.
Step-by-step explanation:
we have
we know that
the formula to calculate the distance between two points is equal to
step 1
Find the length of the sides
<u><em>Find the distance AB</em></u>
substitute the values
<u><em>Find the distance BC</em></u>
substitute the values
<u><em>Find the distance CD</em></u>
substitute the values
<u><em>Find the distance AD</em></u>
substitute the values
Compare the length sides
AB=CD
BC=AD
therefore
Opposite sides are congruent
step 2
Find the length of the diagonals
<u><em>Find the distance AC</em></u>
substitute the values
<u><em>Find the distance BD</em></u>
substitute the values
Compare the length of the diagonals
AC=BD
therefore
Diagonals are congruent
The figure is a rectangle, because Opposite sides are congruent, and diagonals are congruent