Answer:
C
Step-by-step explanation:
y = 2x + 5
the slope (m) of this line is 2 (which can be written as 2/1)
The slope of a perpendicular line is -1/m (the reciprocal of the slope with the opposite sign)
so m = 2/1 => -1/m = - 1/2 = the slope of a line perpendicular to y = 2x + 5
Explanation:
Let the equation be
a
⋅
x
2
+
b
⋅
x
+
c
. To factorize multiplication of a and c i.e. ac so that sum of factors, if ac is positive (and difference if ac is negative) is equal to b. Now split b into these two components and factorization will be easy.
Answer:
A system of the equation of a circle and a linear equation
A system of the equation of a parabola and a linear equation
Step-by-step explanation:
Let us verify our answer
A system of the equation of a circle and a linear equation
Let an equation of a circle as 
..........(1)
Let a liner equation Y = x ............(2)
substitute (2) in (1)
so Y = 
so the two solution are ( 
)
A system of the equation of a parabola and a linear equation
Let equation of Parabola be 
and linear equation y = x
substitute
Y = 0,1
so the two solutions will be (0,0) and (1,1)
Well, I don't what your question is, but I will assume that you want the dimensions of the rectangle after its dilation. So, multiply the dimensions of the rectangle by 2 to make it dilated.
The correct options for the linear combinations of the vectors are given by:
A, B, C, D, E and F.
<h3>What is a span between two vectors?</h3>
The span between two vectors is the set that contains all linear combinations between these two vectors.
Supposing we have two vectors u1 and u2, as is the case in this problem, the infinitely many linear combinations have the following format:
k1u1 + k2u2
In which k1 and k2 are real numbers.
With k1 = 4 and k2 = -7, we get that option A is correct.
For option B, the vector 0 will always be a part of the span, as it can be formed with constants 0, hence it is correct.
The dimension of the span is of 3, as the vectors have 3 elements, hence option C is correct.
The underlying vectors will always also be part of the span, as they can be formed with their constant 1 and the others at 0, hence options D and F are correct.
The size of the span of any vectors is of infinity, hence option E is correct while option G is not.
More can be learned about linear combinations at brainly.com/question/15885826
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