Answer:
The slope of the line will change from negative to positive
Step-by-step explanation:
the equation is in the form of y=mx+c and m is negative. By multiplying m with another negative number it turns positive, thus slope changes from negative to positive
Answer:
2√6
Step-by-step explanation:
find the hypotenuse of the triangle thats 3 and 7
pythagorean
3 squared + 7 squared
16 + 49 = 57
√57 is the hypotenuse
√57 is also the base of the triangle that has side thats 9
pythagorean theorem
x squared + √57 squared = 9 squared
x^2 + 57 = 81
x^2 = 81 - 57
x^2 = 24
x = √24
x = √4 * √6
x = 2√6
Answer:
-6/5
Step-by-step explanation:
solution;
let,the number be x,
product of <u>twice</u><u> </u><u>of</u><u> </u><u>x</u> and <u>six</u> = the <u>difference </u>
<u>difference of eleven times x and 6/5</u>
or, (2x×6)=(11×x)-(6/5)
or, 12x = 11x - 6/5
or, 12x - 11x = -6/5
therefore,x =-6/5
Therefore, the number required is (-6/5) whose product of twice a number and six is the same as the difference of eleven times the number and 6/5 .
Since each vector is a member of
, the vectors will span
if they form a basis for
, which requires that they be linearly independent of one another.
To show this, you have to establish that the only linear combination of the three vectors
that gives the zero vector
occurs for scalars
.
Solving this, you'll find that
, so the vectors are indeed linearly independent, thus forming a basis for
and therefore they must span
.
